From 39e758ad6e9a9d46fc493e2fd669018b64a781b9 Mon Sep 17 00:00:00 2001 From: Philipp Jurasic Date: Fri, 15 Nov 2024 00:32:47 +0100 Subject: [PATCH 01/34] Add Flowchart to repository, fix URLs in README --- README.md | 10 ++++------ docs/SpecFlowchart.pdf | Bin 0 -> 579100 bytes 2 files changed, 4 insertions(+), 6 deletions(-) create mode 100644 docs/SpecFlowchart.pdf diff --git a/README.md b/README.md index bb6d35d2..8aabeb5f 100644 --- a/README.md +++ b/README.md @@ -1,13 +1,11 @@ -# The Stepped Pressure Equilibrium Code - -All relevant publications and presentations are given on the [MRxMHD website](http://w3.pppl.gov/~shudson/Spec/spec.html). +# The Stepped Pressure Equilibrium Code (SPEC) A BibTex file is available: [spec_refs.bib](https://raw.githubusercontent.com/PrincetonUniversity/SPEC/master/spec_refs.bib). * There is also a [brief description of SPEC](http://theory.pppl.gov/research/research.php?rid=10#h5) on the Princeton Plasma Physics Laboratory [Theory Department website](http://theory.pppl.gov/). -* An overview of the algorithm is given in a [Flow Chart](http://w3.pppl.gov/~shudson/Spec/SpecFlowchart.pdf). +* An overview of the algorithm is given in a [Flow Chart](https://princetonuniversity.github.io/SPEC/docs/SpecFlowchart.pdf). * Please direct questions/suggestions to [Stuart Hudson](mailto:shudson@pppl.gov?subject=spec). -* Online documentation for SPEC is available on [Github pages](https://princetonuniversity.github.io/SPEC/). +* Online documentation for SPEC is available on [Github pages](https://princetonuniversity.github.io/SPEC/). A PDF version of this manual is available in [SPEC_manual.pdf](https://princetonuniversity.github.io/SPEC/SPEC_manual.pdf). -* Instructions for compiling and testing SPEC are in [Compile.md](https://github.com/PrincetonUniversity/SPEC/blob/master/Compile.md). +* Instructions for compiling and testing SPEC are in [compilation_instructions.md](https://github.com/PrincetonUniversity/SPEC/blob/master/compilation_instructions.md). diff --git a/docs/SpecFlowchart.pdf b/docs/SpecFlowchart.pdf new file mode 100644 index 0000000000000000000000000000000000000000..a3f53c3feb0b6a60665cfb34f164a18d0b0aa1e2 GIT binary patch literal 579100 zcmc$_1yoyI(MKyeQi+)IJtkl+L;Rvd~H3EEPi!3pjZ z5AH6P=XpPQzyH7QTHlqm?pb@SlYM6Po;iEY%b<)-1H zaWu6hz!eqc)bet&;FL0fn%Fy9ajKbES-8^h+<`SXl}sR3OcoG!ZB1qxPEDwbn;BHg z#lk|v(Gg0+%lkKqvWbhGJjBxRZkoS-TA0(^p;?IET?Dum5c9uD{59Esq4hTnPANw> z2$Y7KQ_;rU)qv*j>A*DqJnpYY|G#l}47ym{jr#|O8WygOZZ2jPu6OjMJ)yFiP!p)d z-EUbZc_ia$^W%(oNpiyN9f&3 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zwUXb_y?eJ^f{qLiV`ybyXK!n$Yx!SEYdte~7#0=+27>=eadFWry8JMtSCuz3qE|3= zH6&nRp;yr$U?cz%FliCc%UfI9gHIR;hR%h%m7Vu`#moGYJBP zfPw-->}&!;0A?W(0DzxWgq7$2TLN5xh^d9Wp)I|Lg|5A!kfFY{fg!z=p_Q?{2>}xm zkcS5z=6~z%oW?xeYW9I24QgvyYf+0H+o`>uTI_2zO1DbY)J7qa9CkO6a0spC=`3`& zMl|#gwuxbUj|fsI8rZqV#B(QmzdH`w0fVu~CoKM~;aOCHOPLPuiLn-l*7wJm-$6c` z#R9P3idhlAYreZ~=rQs5iBRw*mgJZ0cN?fts%7taL{-G@0)d7tN4X?sV3MZ_GG3?m z5&n`FC5_F;_R=*$D@Aljc@okX^2wMQi$l)0WD$G4C?rPlBvle=`93m66hgTxft@}= zJaME%67c|oVd~-G6NF!T3u2yw5Gt|MP=D|hi5k2;uHSpU?I5x~F>{6iN;AdrROkMbB;8N{h#GAvI1FH{@}(0&dl&fc}$GV zYz%+!U}9orVfaHoCIAE5pFEg=jEsOk%L8NV|HJ?+|HN4Sp$m|amGuuE;5yiu|I`J@ z#K^?0G7XCtbf7S{(`ap69a;W#-C#WY*+upnErzO zWgLO+{-1gO!UOmh9>Blw0RDvs@Gm@=|H1>@NB__TY%l-B{=$R#FFct4!h`uQJedE& z18hV8toJWGSpLETJU;%Bm*p=!SpLETe5d-4yg)Ya{pC*^XJchy|6^=1gCX|+F+S{V zbxkb{ZQ)_S^WDE^IoAK*r?!7jUb?pS|GtScv$6u27~o+@Nrh!a;9>svogIw)-%yVJ ho2{WE!M}C-ugPD*-V%KJuU7kq-fZlQZ2ztI{{p=5&6ofH literal 0 HcmV?d00001 From 3493bb97674bdf7a1c1af21457ecdc15c97e3e48 Mon Sep 17 00:00:00 2001 From: Philipp Jurasic Date: Fri, 15 Nov 2024 00:55:42 +0100 Subject: [PATCH 02/34] added .ext.sp.DF and ext.sp.end to grp_output --- src/global.f90 | 3 ++- src/newton.f90 | 4 ++-- 2 files changed, 4 insertions(+), 3 deletions(-) diff --git a/src/global.f90 b/src/global.f90 index 1429473f..c4b23cc3 100644 --- a/src/global.f90 +++ b/src/global.f90 @@ -1577,7 +1577,8 @@ subroutine broadcast_inputs !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! -!> \brief The restart file is written. +!> \brief Write the restart file \c ext.sp.end +!> \ingroup grp_output subroutine wrtend use constants, only : diff --git a/src/newton.f90 b/src/newton.f90 index 7bd26216..2c0d1e2d 100644 --- a/src/newton.f90 +++ b/src/newton.f90 @@ -295,8 +295,8 @@ end subroutine newton !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! -!> \brief read or write force-derivative matrix -!> \ingroup grp_force_driver +!> \brief read or write force-derivative matrix \c .ext.sp.DF +!> \ingroup grp_force_driver grp_output !> !> @param[in] readorwrite !> @param[in] NGdof From b446552ba497289579e68359e47e06cfec579c9e Mon Sep 17 00:00:00 2001 From: Philipp Jurasic Date: Fri, 15 Nov 2024 01:03:42 +0100 Subject: [PATCH 03/34] added .GF.ma and .GF.ev files to grp_output --- src/hesian.f90 | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/src/hesian.f90 b/src/hesian.f90 index 2ea18d90..f623b893 100644 --- a/src/hesian.f90 +++ b/src/hesian.f90 @@ -1,8 +1,8 @@ !> \file !> \brief Computes eigenvalues and eigenvectors of derivative matrix, \f$\nabla_{\bf xi}{\bf F}\f$. -!> \brief Computes eigenvalues and eigenvectors of derivative matrix, \f$\nabla_{\bf xi}{\bf F}\f$. -!> \ingroup grp_diagnostics +!> \brief Computes eigenvalues and eigenvectors of derivative matrix, \f$\nabla_{\bf xi}{\bf F}\f$ and saves them to \c .ext.GF.ev and \c .ext.GF.ma +!> \ingroup grp_diagnostics grp_output !> !> @param[in] NGdof number of global degrees of freedom !> @param[inout] position internal geometrical degrees of freedom From 17b7826094006a6c41d0007e84d5a3a55ed19d8b Mon Sep 17 00:00:00 2001 From: Philipp Jurasic Date: Fri, 15 Nov 2024 01:08:13 +0100 Subject: [PATCH 04/34] added SPEC flowchart to doxygen --- .github/workflows/doxygen.yml | 5 +++-- docs/{SpecFlowchart.pdf => SPEC_flowchart.pdf} | Bin 2 files changed, 3 insertions(+), 2 deletions(-) rename docs/{SpecFlowchart.pdf => SPEC_flowchart.pdf} (100%) diff --git a/.github/workflows/doxygen.yml b/.github/workflows/doxygen.yml index 8abd9583..2fc84b41 100644 --- a/.github/workflows/doxygen.yml +++ b/.github/workflows/doxygen.yml @@ -26,9 +26,10 @@ jobs: with: enable-latex: true - - name: Copy Pdf + - name: Copy PDF working-directory: ${{ github.workspace }} - run: sudo cp ./docs/latex/refman.pdf ./docs/html/SPEC_manual.pdf + run: sudo cp ./docs/latex/refman.pdf ./docs/html/SPEC_manual.pdf + cp ./docs/SPEC_flowchart.pdf ./docs/html/SPEC_flowchart.pdf - name: Deploy uses: peaceiris/actions-gh-pages@v3 diff --git a/docs/SpecFlowchart.pdf b/docs/SPEC_flowchart.pdf similarity index 100% rename from docs/SpecFlowchart.pdf rename to docs/SPEC_flowchart.pdf From 6cd5c16e607d770560a201b4a3914ddaa3943b8c Mon Sep 17 00:00:00 2001 From: Philipp Jurasic Date: Fri, 15 Nov 2024 01:08:13 +0100 Subject: [PATCH 05/34] added SPEC flowchart to doxygen --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 8aabeb5f..b9802d8d 100644 --- a/README.md +++ b/README.md @@ -4,7 +4,7 @@ A BibTex file is available: [spec_refs.bib](https://raw.githubusercontent.com/Pr * There is also a [brief description of SPEC](http://theory.pppl.gov/research/research.php?rid=10#h5) on the Princeton Plasma Physics Laboratory [Theory Department website](http://theory.pppl.gov/). -* An overview of the algorithm is given in a [Flow Chart](https://princetonuniversity.github.io/SPEC/docs/SpecFlowchart.pdf). +* An overview of the algorithm is given in a [Flow Chart](https://princetonuniversity.github.io/SPEC/docs/SPEC_flowchart.pdf). * Please direct questions/suggestions to [Stuart Hudson](mailto:shudson@pppl.gov?subject=spec). * Online documentation for SPEC is available on [Github pages](https://princetonuniversity.github.io/SPEC/). A PDF version of this manual is available in [SPEC_manual.pdf](https://princetonuniversity.github.io/SPEC/SPEC_manual.pdf). From be14bd35fa199cc807cb5701c03eaca149df6d28 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Philipp=20Jura=C5=A1i=C4=87?= <58512364+missing-user@users.noreply.github.com> Date: Fri, 15 Nov 2024 01:24:18 +0100 Subject: [PATCH 06/34] reverted Doxygen action name change --- .github/workflows/doxygen.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.github/workflows/doxygen.yml b/.github/workflows/doxygen.yml index 2fc84b41..12f1685b 100644 --- a/.github/workflows/doxygen.yml +++ b/.github/workflows/doxygen.yml @@ -26,7 +26,7 @@ jobs: with: enable-latex: true - - name: Copy PDF + - name: Copy Pdf working-directory: ${{ github.workspace }} run: sudo cp ./docs/latex/refman.pdf ./docs/html/SPEC_manual.pdf cp ./docs/SPEC_flowchart.pdf ./docs/html/SPEC_flowchart.pdf From 0ca23130cbb6a63050929e265eb382832e8a4a0f Mon Sep 17 00:00:00 2001 From: Philipp Jurasic Date: Fri, 15 Nov 2024 09:25:38 +0100 Subject: [PATCH 07/34] Add link to SPEC wiki for cluster installation instructions --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index b9802d8d..5a8ca1a1 100644 --- a/README.md +++ b/README.md @@ -8,4 +8,4 @@ A BibTex file is available: [spec_refs.bib](https://raw.githubusercontent.com/Pr * Please direct questions/suggestions to [Stuart Hudson](mailto:shudson@pppl.gov?subject=spec). * Online documentation for SPEC is available on [Github pages](https://princetonuniversity.github.io/SPEC/). A PDF version of this manual is available in [SPEC_manual.pdf](https://princetonuniversity.github.io/SPEC/SPEC_manual.pdf). -* Instructions for compiling and testing SPEC are in [compilation_instructions.md](https://github.com/PrincetonUniversity/SPEC/blob/master/compilation_instructions.md). +* Instructions for compiling and testing SPEC are provided in [compilation_instructions.md](https://github.com/PrincetonUniversity/SPEC/blob/master/compilation_instructions.md), with additional guidelines for various Princeton and IPP clusters available on the [SPEC wiki](https://github.com/hiddenSymmetries/simsopt/wiki). From a8abc48bad00227864c3f76c6932a48568d58652 Mon Sep 17 00:00:00 2001 From: Philipp Jurasic Date: Fri, 15 Nov 2024 09:29:09 +0100 Subject: [PATCH 08/34] Revert "Add link to SPEC wiki for cluster installation instructions" This reverts commit 0ca23130cbb6a63050929e265eb382832e8a4a0f. --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 5a8ca1a1..b9802d8d 100644 --- a/README.md +++ b/README.md @@ -8,4 +8,4 @@ A BibTex file is available: [spec_refs.bib](https://raw.githubusercontent.com/Pr * Please direct questions/suggestions to [Stuart Hudson](mailto:shudson@pppl.gov?subject=spec). * Online documentation for SPEC is available on [Github pages](https://princetonuniversity.github.io/SPEC/). A PDF version of this manual is available in [SPEC_manual.pdf](https://princetonuniversity.github.io/SPEC/SPEC_manual.pdf). -* Instructions for compiling and testing SPEC are provided in [compilation_instructions.md](https://github.com/PrincetonUniversity/SPEC/blob/master/compilation_instructions.md), with additional guidelines for various Princeton and IPP clusters available on the [SPEC wiki](https://github.com/hiddenSymmetries/simsopt/wiki). +* Instructions for compiling and testing SPEC are in [compilation_instructions.md](https://github.com/PrincetonUniversity/SPEC/blob/master/compilation_instructions.md). From 7fbea1838009b58715637023fdc81e6e340a25b2 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Philipp=20Jura=C5=A1i=C4=87?= <58512364+missing-user@users.noreply.github.com> Date: Fri, 15 Nov 2024 15:00:15 +0100 Subject: [PATCH 09/34] Contributors citation file added --- CITATION.cff | 272 +++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 272 insertions(+) create mode 100644 CITATION.cff diff --git a/CITATION.cff b/CITATION.cff new file mode 100644 index 00000000..110e713a --- /dev/null +++ b/CITATION.cff @@ -0,0 +1,272 @@ +cff-version: 1.2.0 +title: Stepped Pressure Equilibrium Code (SPEC) +message: >- + If you use SPEC in your research, please cite the + following works. +type: software +authors: + - orcid: 'https://orcid.org/0000-0003-1530-2733' + family-names: Hudson + given-names: Stuart + email: shudson@pppl.gov + affiliation: Princeton Plasma Physics Laboratory + - family-names: Schilling + given-names: Jonathan + orcid: https://orcid.org/0000-0002-6363-6554 + affiliation: Max-Planck Institute for Plasma Physics + - family-names: Baillod + given-names: Antoine + affiliation: Columbia University + orcid: https://orcid.org/0000-0003-0352-9180 + - familiy-names: Qu + given-names: Zhisong + affiliation: Nanyang Technological University + orcid: https://orcid.org/0000-0003-4628-6983 + - family-names: Loizu + given-names: Joaquim + affiliation: Federal Institute of Technology Lausanne (EPFL) + orcid: https://orcid.org/0000-0002-4862-7393 + - family-names: Medasani + given-names: Bharat + affiliation: New Mexico State University + - family-names: Smiet + given-names: Christopher Berg + orcid: https://orcid.org/0000-0002-7803-7685 + affiliation: Federal Institute of Technology Lausanne (EPFL) + - family-names: Zhu + given-names: Caoxiang + affiliation: University of Science and Technology of China + orcid: https://orcid.org/0000-0003-2337-3232 + - family-names: Lazerson + given-names: Samuel Aaron + affiliation: Princeton Plasma Physics Laboratory + orcid: https://orcid.org/0000-0001-8002-0121 + - family-names: Breslau + given-names: Joshua + affiliation: Princeton Plasma Physics Laboratory + orcid: https://orcid.org/0000-0002-0649-4836 +identifiers: + - type: url + value: >- + https://github.com/PrincetonUniversity/SPEC/releases/tag/v3.20 + description: The GitHub URL for the SPEC v3.20 release +repository-code: 'https://github.com/PrincetonUniversity/SPEC' +url: 'https://princetonuniversity.github.io/SPEC/' +abstract: >- + A code for calculating magnetohydrodynamic equilibria with + stepped pressure-profiles, by finding stationary points in + the MRxMHD energy functional. +keywords: + - 'magnetohydrodynamics ' + - SPEC + - MRxMHD +license: GPL-3.0 +commit: 5996ea6db8cea383c659fced8e6a2c24cd774642 +version: '3.20' +date-released: '2022-07-01' +references: + - type: article + authors: + - family-names: Hudson + given-names: Stuart + email: shudson@pppl.gov + affiliation: 'Princeton Plasma Physics Laboratory' + orcid: 'https://orcid.org/0000-0003-1530-2733' + - family-names: Dewar + given-names: R. L. + affiliation: 'Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia' + - family-names: Hole + given-names: M. J. + affiliation: 'Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia' + - family-names: Dennis + given-names: G. + affiliation: 'Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia' + - family-names: McGann + given-names: M. + affiliation: 'Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia' + - family-names: von Nessi + given-names: G. + affiliation: 'Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia' + - family-names: Lazerson + given-names: Samuel Aaron + affiliation: 'Princeton Plasma Physics Laboratory' + title: Computation of multi-region relaxed magnetohydrodynamic equilibria + journal: Phys. Plasmas + volume: '19' + issue: '11' + year: 2012 + doi: 10.1063/1.4765691 + url: 'https://doi.org/10.1063/1.4765691' + - type: article + authors: + - family-names: Hudson + given-names: Stuart R. + orcid: https://orcid.org/0000-0003-1530-2733 + - family-names: Loizu + given-names: Joaquim + orcid: https://orcid.org/0000-0002-4862-7393 + - family-names: Zhu + given-names: Caoxiang + orcid: https://orcid.org/0000-0003-2337-3232 + - family-names: Qu + given-names: Zhisong + orcid: https://orcid.org/0000-0003-4628-6983 + - family-names: Nührenberg + given-names: Carolin + - family-names: Lazerson + given-names: Samuel A. + orcid: https://orcid.org/0000-0001-8002-0121 + - family-names: Smiet + given-names: Christopher Berg + orcid: https://orcid.org/0000-0002-7803-7685 + - family-names: Hole + given-names: Matthew J. + orcid: https://orcid.org/0000-0002-9550-8776 + title: "Free-boundary MRxMHD equilibrium calculations using the stepped-pressure equilibrium code" + journal: "Plasma Physics and Controlled Fusion" + volume: "62" + issue: "8" + pages: "084002" + year: 2020 + doi: "10.1088/1361-6587/ab9a61" + url: "https://dx.doi.org/10.1088/1361-6587/ab9a61" + publisher: "IOP Publishing" + abstract: "The stepped-pressure equilibrium code (SPEC) (Hudson et al 2012 Phys. Plasmas 19, 112 502) is extended to enable free-boundary multi-region relaxed magnetohydrodynamic (MRxMHD) equilibrium calculations. The vacuum field surrounding the plasma inside an arbitrary ‘computational boundary’ is computed, and the virtual-casing principle is used iteratively to compute the normal field on the boundary so that the equilibrium is consistent with an externally produced magnetic field. Recent modifications to SPEC are described, such as the use of Chebyshev polynomials to describe the radial dependence of the magnetic vector potential, and a variety of free-boundary verification calculations are presented." + - type: article + authors: + - family-names: Shafranov + given-names: V. D. + - family-names: Zakharov + given-names: L. E. + title: Use of the virtual-casing principle in calculating the containing magnetic + field in toroidal plasma systems + journal: Nucl. Fusion + volume: '12' + issue: '5' + pages: 599--601 + year: 1972 + doi: 10.1088/0029-5515/12/5/009 + url: 'https://doi.org/10.1088/0029-5515/12/5/009' + - type: article + authors: + - family-names: Hirshman + given-names: S. P. + - family-names: Meier + given-names: H. K. + title: Optimized Fourier representations for three‐dimensional magnetic surfaces + journal: Phys. Fluids + volume: '28' + issue: '5' + pages: 1387-1391 + year: 1985 + doi: 10.1063/1.864972 + url: 'https://aip.scitation.org/doi/abs/10.1063/1.864972' + - type: article + authors: + - family-names: Hirshman + given-names: S. P. + - family-names: Breslau + given-names: J. + title: Explicit spectrally optimized Fourier series for nested magnetic surfaces + journal: Phys. Plas. + volume: '5' + issue: '7' + pages: 2664-2675 + year: 1998 + doi: 10.1063/1.872954 + url: 'https://doi.org/10.1063/1.872954' + - type: article + authors: + - family-names: Hirshman + given-names: S. P. + - family-names: Perumalla + given-names: K. S. + - family-names: Lynch + given-names: V. E. + - family-names: Sanchez + given-names: R. + title: 'BCYCLIC: A parallel block tridiagonal matrix cyclic solver' + journal: J. Comp. Phys. + volume: '229' + issue: '18' + pages: 6392-6404 + year: 2010 + doi: 10.1016/j.jcp.2010.04.049 + url: 'http://www.sciencedirect.com/science/article/pii/S0021999110002536' + - type: article + authors: + - family-names: Hudson + given-names: S. R. + - family-names: Dewar + given-names: R. L. + - family-names: Hole + given-names: M. J. + - family-names: McGann + given-names: M. + title: Non-axisymmetric, multi-region relaxed magnetohydrodynamic equilibrium + solutions + journal: Plasma Phys. and Contr. Fusion + volume: '54' + issue: '1' + pages: '014005' + year: 2011 + doi: 10.1088/0741-3335/54/1/014005 + url: 'https://doi.org/10.1088/0741-3335/54/1/014005' + - type: article + authors: + - family-names: Lazerson + given-names: S. A. + title: The virtual-casing principle for 3D toroidal systems + journal: Plasma Phys. and Contr. Fusion + volume: '54' + issue: '12' + pages: '122002' + year: 2012 + doi: 10.1088/0741-3335/54/12/122002 + url: 'https://doi.org/10.1088/0741-3335/54/12/122002' + - type: article + authors: + - family-names: Lazerson + given-names: S. A. + - family-names: Sakakibara + given-names: S. + - family-names: Suzuki + given-names: Y. + title: A magnetic diagnostic code for 3D fusion equilibria + journal: Plasma Phys. and Contr. Fusion + volume: '55' + issue: '2' + pages: '025014' + year: 2013 + doi: 10.1088/0741-3335/55/2/025014 + url: 'https://doi.org/10.1088/0741-3335/55/2/025014' + - type: article + authors: + - family-names: Hanson + given-names: J. D. + title: The virtual-casing principle and Helmholtz's theorem + journal: Plasma Phys. and Contr. Fusion + volume: '57' + issue: '11' + pages: '115006' + year: 2015 + doi: 10.1088/0741-3335/57/11/115006 + url: 'https://doi.org/10.1088/0741-3335/57/11/115006' + - type: article + authors: + - family-names: Zhu + given-names: C. + - family-names: Hudson + given-names: S. R. + - family-names: Song + given-names: Y. + - family-names: Wan + given-names: Y. + title: New method to design stellarator coils without the winding surface + journal: Nucl. Fusion + volume: '58' + issue: '1' + pages: 016008 + year: 2017 + doi: 10.1088/1741-4326/aa8e0a + url: 'https://doi.org/10.1088/1741-4326/aa8e0a' From 752609c0b1055917a90de777630fdfbfe3e826f5 Mon Sep 17 00:00:00 2001 From: Philipp Jurasic Date: Fri, 15 Nov 2024 15:07:42 +0100 Subject: [PATCH 10/34] Changed preferred citation format to the first SPEC paper --- CITATION.cff | 68 +++++++++++++++++++++++++++------------------------- 1 file changed, 35 insertions(+), 33 deletions(-) diff --git a/CITATION.cff b/CITATION.cff index 110e713a..8fc7c906 100644 --- a/CITATION.cff +++ b/CITATION.cff @@ -57,46 +57,48 @@ abstract: >- stepped pressure-profiles, by finding stationary points in the MRxMHD energy functional. keywords: - - 'magnetohydrodynamics ' + - magnetohydrodynamics - SPEC - MRxMHD license: GPL-3.0 commit: 5996ea6db8cea383c659fced8e6a2c24cd774642 version: '3.20' date-released: '2022-07-01' +preferred-citation: + type: article + authors: + - family-names: Hudson + given-names: Stuart + email: shudson@pppl.gov + affiliation: 'Princeton Plasma Physics Laboratory' + orcid: 'https://orcid.org/0000-0003-1530-2733' + - family-names: Dewar + given-names: R. L. + affiliation: 'Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia' + - family-names: Hole + given-names: M. J. + affiliation: 'Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia' + - family-names: Dennis + given-names: G. + affiliation: 'Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia' + - family-names: McGann + given-names: M. + affiliation: 'Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia' + - family-names: von Nessi + given-names: G. + affiliation: 'Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia' + - family-names: Lazerson + given-names: Samuel Aaron + affiliation: 'Princeton Plasma Physics Laboratory' + orcid: https://orcid.org/0000-0001-8002-0121 + title: Computation of multi-region relaxed magnetohydrodynamic equilibria + journal: Phys. Plasmas + volume: '19' + issue: '11' + year: 2012 + doi: 10.1063/1.4765691 + url: 'https://doi.org/10.1063/1.4765691' references: - - type: article - authors: - - family-names: Hudson - given-names: Stuart - email: shudson@pppl.gov - affiliation: 'Princeton Plasma Physics Laboratory' - orcid: 'https://orcid.org/0000-0003-1530-2733' - - family-names: Dewar - given-names: R. L. - affiliation: 'Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia' - - family-names: Hole - given-names: M. J. - affiliation: 'Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia' - - family-names: Dennis - given-names: G. - affiliation: 'Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia' - - family-names: McGann - given-names: M. - affiliation: 'Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia' - - family-names: von Nessi - given-names: G. - affiliation: 'Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia' - - family-names: Lazerson - given-names: Samuel Aaron - affiliation: 'Princeton Plasma Physics Laboratory' - title: Computation of multi-region relaxed magnetohydrodynamic equilibria - journal: Phys. Plasmas - volume: '19' - issue: '11' - year: 2012 - doi: 10.1063/1.4765691 - url: 'https://doi.org/10.1063/1.4765691' - type: article authors: - family-names: Hudson From c07be3cd9d6c200f8854a7a9b7c319660a4e8289 Mon Sep 17 00:00:00 2001 From: Philipp Jurasic Date: Fri, 15 Nov 2024 15:36:33 +0100 Subject: [PATCH 11/34] added verification paper to references --- CITATION.cff | 29 ++++++++++++++++++++++++++++- 1 file changed, 28 insertions(+), 1 deletion(-) diff --git a/CITATION.cff b/CITATION.cff index 8fc7c906..12e7d2b1 100644 --- a/CITATION.cff +++ b/CITATION.cff @@ -133,7 +133,7 @@ references: doi: "10.1088/1361-6587/ab9a61" url: "https://dx.doi.org/10.1088/1361-6587/ab9a61" publisher: "IOP Publishing" - abstract: "The stepped-pressure equilibrium code (SPEC) (Hudson et al 2012 Phys. Plasmas 19, 112 502) is extended to enable free-boundary multi-region relaxed magnetohydrodynamic (MRxMHD) equilibrium calculations. The vacuum field surrounding the plasma inside an arbitrary ‘computational boundary’ is computed, and the virtual-casing principle is used iteratively to compute the normal field on the boundary so that the equilibrium is consistent with an externally produced magnetic field. Recent modifications to SPEC are described, such as the use of Chebyshev polynomials to describe the radial dependence of the magnetic vector potential, and a variety of free-boundary verification calculations are presented." + abstract: "The stepped-pressure equilibrium code (SPEC) (Hudson et al 2012 Phys. Plasmas 19, 112 502) is extended to enable free-boundary multi-region relaxed magnetohydrodynamic (MRxMHD) equilibrium calculations. The vacuum field surrounding the plasma inside an arbitrary ‘computational boundary’ is computed, and the virtual-casing principle is used iteratively to compute the normal field on the boundary so that the equilibrium is consistent with an externally produced magnetic field. Recent modifications to SPEC are described, such as the use of Chebyshev polynomials to describe the radial dependence of the magnetic vector potential, and a variety of free-boundary verification calculations are presented." - type: article authors: - family-names: Shafranov @@ -149,6 +149,33 @@ references: year: 1972 doi: 10.1088/0029-5515/12/5/009 url: 'https://doi.org/10.1088/0029-5515/12/5/009' + - type: article + title: Stepped pressure equilibrium with relaxed flow and applications in reversed-field pinch plasmas + doi: 10.1088/1361-6587/ab7fc5 + url: 'https://doi.org/10.1088/1361-6587/ab7fc5' + authors: + - family-names: Qu + given-names: Zhisong + orcid: https://orcid.org/0000-0003-4628-6983 + - family-names: Dewar + given-names: R. L. + - family-names: Ebrahimi + given-names: F. + - family-names: Anderson + given-names: J. K. + - family-names: Hudson + given-names: Stuart R. + orcid: https://orcid.org/0000-0003-1530-2733 + - family-names: Hole + given-names: Matthew J. + orcid: https://orcid.org/0000-0002-9550-8776 + journal: "Plasma Physics and Controlled Fusion" + volume: "62" + issue: "5" + pages: "054002" + year: 2020 + month: "4" + publisher: "IOP Publishing" - type: article authors: - family-names: Hirshman From f9f2472cd27bf594067f928d69799015bec8c492 Mon Sep 17 00:00:00 2001 From: Philipp Jurasic Date: Fri, 15 Nov 2024 15:37:21 +0100 Subject: [PATCH 12/34] use Citations.cff in readme --- README.md | 22 ++++++++++++++-------- 1 file changed, 14 insertions(+), 8 deletions(-) diff --git a/README.md b/README.md index b9802d8d..bf4b6b28 100644 --- a/README.md +++ b/README.md @@ -1,11 +1,17 @@ -# The Stepped Pressure Equilibrium Code (SPEC) +# ![SPEC logo](SPEC_97x55.png) The Stepped Pressure Equilibrium Code -A BibTex file is available: [spec_refs.bib](https://raw.githubusercontent.com/PrincetonUniversity/SPEC/master/spec_refs.bib). -* There is also a [brief description of SPEC](http://theory.pppl.gov/research/research.php?rid=10#h5) - on the Princeton Plasma Physics Laboratory [Theory Department website](http://theory.pppl.gov/). -* An overview of the algorithm is given in a [Flow Chart](https://princetonuniversity.github.io/SPEC/docs/SPEC_flowchart.pdf). -* Please direct questions/suggestions to [Stuart Hudson](mailto:shudson@pppl.gov?subject=spec). -* Online documentation for SPEC is available on [Github pages](https://princetonuniversity.github.io/SPEC/). +If you use SPEC in your research, please cite it appropriately using the "Cite this repository" button on the right of the [SPEC GitHub Repository](https://github.com/PrincetonUniversity/SPEC) or the [CITATION.cff](https://github.com/PrincetonUniversity/SPEC/blob/master/CITATION.cff) file. + +There is a [brief description of SPEC](http://theory.pppl.gov/research/research.php?rid=10#h5) on the Princeton Plasma Physics Laboratory [Theory Department website](http://theory.pppl.gov/). An overview of the algorithm is given in a [Flow Chart](https://princetonuniversity.github.io/SPEC/docs/SPEC_flowchart.pdf). + +Please direct questions/suggestions to [Stuart Hudson](mailto:shudson@pppl.gov?subject=spec). + +## Installation +Instructions for compiling and testing SPEC are in [compilation_instructions.md](https://github.com/PrincetonUniversity/SPEC/blob/master/compilation_instructions.md). + +## Documentation +Online documentation for SPEC is available on [Github pages](https://princetonuniversity.github.io/SPEC/). A PDF version of this manual is available in [SPEC_manual.pdf](https://princetonuniversity.github.io/SPEC/SPEC_manual.pdf). -* Instructions for compiling and testing SPEC are in [compilation_instructions.md](https://github.com/PrincetonUniversity/SPEC/blob/master/compilation_instructions.md). + + From 87fbb77020a8d95cb2930d25c1669ceae02c55ac Mon Sep 17 00:00:00 2001 From: Philipp Jurasic Date: Fri, 15 Nov 2024 17:51:24 +0100 Subject: [PATCH 13/34] updated and validated cff --- CITATION.cff | 380 ++++++++++++++++++++++++++++++++++++++++----------- README.md | 7 +- 2 files changed, 301 insertions(+), 86 deletions(-) diff --git a/CITATION.cff b/CITATION.cff index 12e7d2b1..5a6e19d6 100644 --- a/CITATION.cff +++ b/CITATION.cff @@ -1,28 +1,32 @@ cff-version: 1.2.0 title: Stepped Pressure Equilibrium Code (SPEC) -message: >- - If you use SPEC in your research, please cite the - following works. +message: If you use SPEC in your research, please cite the following works. type: software +contact: + - family-names: Hudson + given-names: Stuart + email: shudson@pppl.gov + affiliation: Princeton Plasma Physics Laboratory + orcid: "https://orcid.org/0000-0003-1530-2733" authors: - - orcid: 'https://orcid.org/0000-0003-1530-2733' - family-names: Hudson + - family-names: Hudson given-names: Stuart email: shudson@pppl.gov affiliation: Princeton Plasma Physics Laboratory + orcid: "https://orcid.org/0000-0003-1530-2733" - family-names: Schilling given-names: Jonathan - orcid: https://orcid.org/0000-0002-6363-6554 affiliation: Max-Planck Institute for Plasma Physics + orcid: https://orcid.org/0000-0002-6363-6554 - family-names: Baillod given-names: Antoine affiliation: Columbia University orcid: https://orcid.org/0000-0003-0352-9180 - - familiy-names: Qu + - family-names: Qu given-names: Zhisong affiliation: Nanyang Technological University orcid: https://orcid.org/0000-0003-4628-6983 - - family-names: Loizu + - family-names: Loizu given-names: Joaquim affiliation: Federal Institute of Technology Lausanne (EPFL) orcid: https://orcid.org/0000-0002-4862-7393 @@ -34,7 +38,7 @@ authors: orcid: https://orcid.org/0000-0002-7803-7685 affiliation: Federal Institute of Technology Lausanne (EPFL) - family-names: Zhu - given-names: Caoxiang + given-names: Caoxiang affiliation: University of Science and Technology of China orcid: https://orcid.org/0000-0003-2337-3232 - family-names: Lazerson @@ -47,57 +51,56 @@ authors: orcid: https://orcid.org/0000-0002-0649-4836 identifiers: - type: url - value: >- - https://github.com/PrincetonUniversity/SPEC/releases/tag/v3.20 + value: https://github.com/PrincetonUniversity/SPEC/releases/tag/v3.20 description: The GitHub URL for the SPEC v3.20 release -repository-code: 'https://github.com/PrincetonUniversity/SPEC' -url: 'https://princetonuniversity.github.io/SPEC/' +repository-code: https://github.com/PrincetonUniversity/SPEC +url: https://princetonuniversity.github.io/SPEC/ abstract: >- A code for calculating magnetohydrodynamic equilibria with stepped pressure-profiles, by finding stationary points in - the MRxMHD energy functional. + the MRxMHD energy functional. keywords: - magnetohydrodynamics - SPEC - MRxMHD license: GPL-3.0 commit: 5996ea6db8cea383c659fced8e6a2c24cd774642 -version: '3.20' -date-released: '2022-07-01' +version: "3.20" +date-released: "2022-07-01" preferred-citation: type: article - authors: - - family-names: Hudson - given-names: Stuart - email: shudson@pppl.gov - affiliation: 'Princeton Plasma Physics Laboratory' - orcid: 'https://orcid.org/0000-0003-1530-2733' - - family-names: Dewar - given-names: R. L. - affiliation: 'Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia' - - family-names: Hole - given-names: M. J. - affiliation: 'Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia' - - family-names: Dennis - given-names: G. - affiliation: 'Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia' - - family-names: McGann - given-names: M. - affiliation: 'Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia' - - family-names: von Nessi - given-names: G. - affiliation: 'Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia' - - family-names: Lazerson - given-names: Samuel Aaron - affiliation: 'Princeton Plasma Physics Laboratory' - orcid: https://orcid.org/0000-0001-8002-0121 - title: Computation of multi-region relaxed magnetohydrodynamic equilibria + authors: + - family-names: Hudson + given-names: Stuart + email: shudson@pppl.gov + affiliation: "Princeton Plasma Physics Laboratory" + orcid: "https://orcid.org/0000-0003-1530-2733" + - family-names: Dewar + given-names: R. L. + affiliation: "Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia" + - family-names: Hole + given-names: M. J. + affiliation: "Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia" + - family-names: Dennis + given-names: G. + affiliation: "Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia" + - family-names: McGann + given-names: M. + affiliation: "Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia" + - family-names: von Nessi + given-names: G. + affiliation: "Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia" + - family-names: Lazerson + given-names: Samuel Aaron + affiliation: "Princeton Plasma Physics Laboratory" + orcid: https://orcid.org/0000-0001-8002-0121 + title: Computation of multi-region relaxed magnetohydrodynamic equilibria journal: Phys. Plasmas - volume: '19' - issue: '11' + volume: "19" + issue: "11" year: 2012 doi: 10.1063/1.4765691 - url: 'https://doi.org/10.1063/1.4765691' + url: "https://doi.org/10.1063/1.4765691" references: - type: article authors: @@ -132,27 +135,26 @@ references: year: 2020 doi: "10.1088/1361-6587/ab9a61" url: "https://dx.doi.org/10.1088/1361-6587/ab9a61" - publisher: "IOP Publishing" - abstract: "The stepped-pressure equilibrium code (SPEC) (Hudson et al 2012 Phys. Plasmas 19, 112 502) is extended to enable free-boundary multi-region relaxed magnetohydrodynamic (MRxMHD) equilibrium calculations. The vacuum field surrounding the plasma inside an arbitrary ‘computational boundary’ is computed, and the virtual-casing principle is used iteratively to compute the normal field on the boundary so that the equilibrium is consistent with an externally produced magnetic field. Recent modifications to SPEC are described, such as the use of Chebyshev polynomials to describe the radial dependence of the magnetic vector potential, and a variety of free-boundary verification calculations are presented." - type: article authors: - family-names: Shafranov given-names: V. D. - family-names: Zakharov given-names: L. E. - title: Use of the virtual-casing principle in calculating the containing magnetic + title: + Use of the virtual-casing principle in calculating the containing magnetic field in toroidal plasma systems journal: Nucl. Fusion - volume: '12' - issue: '5' + volume: "12" + issue: "5" pages: 599--601 year: 1972 doi: 10.1088/0029-5515/12/5/009 - url: 'https://doi.org/10.1088/0029-5515/12/5/009' + url: "https://doi.org/10.1088/0029-5515/12/5/009" - type: article title: Stepped pressure equilibrium with relaxed flow and applications in reversed-field pinch plasmas doi: 10.1088/1361-6587/ab7fc5 - url: 'https://doi.org/10.1088/1361-6587/ab7fc5' + url: "https://doi.org/10.1088/1361-6587/ab7fc5" authors: - family-names: Qu given-names: Zhisong @@ -175,7 +177,6 @@ references: pages: "054002" year: 2020 month: "4" - publisher: "IOP Publishing" - type: article authors: - family-names: Hirshman @@ -184,12 +185,12 @@ references: given-names: H. K. title: Optimized Fourier representations for three‐dimensional magnetic surfaces journal: Phys. Fluids - volume: '28' - issue: '5' + volume: "28" + issue: "5" pages: 1387-1391 year: 1985 doi: 10.1063/1.864972 - url: 'https://aip.scitation.org/doi/abs/10.1063/1.864972' + url: "https://aip.scitation.org/doi/abs/10.1063/1.864972" - type: article authors: - family-names: Hirshman @@ -198,12 +199,12 @@ references: given-names: J. title: Explicit spectrally optimized Fourier series for nested magnetic surfaces journal: Phys. Plas. - volume: '5' - issue: '7' + volume: "5" + issue: "7" pages: 2664-2675 year: 1998 doi: 10.1063/1.872954 - url: 'https://doi.org/10.1063/1.872954' + url: "https://doi.org/10.1063/1.872954" - type: article authors: - family-names: Hirshman @@ -214,14 +215,14 @@ references: given-names: V. E. - family-names: Sanchez given-names: R. - title: 'BCYCLIC: A parallel block tridiagonal matrix cyclic solver' + title: "BCYCLIC: A parallel block tridiagonal matrix cyclic solver" journal: J. Comp. Phys. - volume: '229' - issue: '18' + volume: "229" + issue: "18" pages: 6392-6404 year: 2010 doi: 10.1016/j.jcp.2010.04.049 - url: 'http://www.sciencedirect.com/science/article/pii/S0021999110002536' + url: "http://www.sciencedirect.com/science/article/pii/S0021999110002536" - type: article authors: - family-names: Hudson @@ -232,27 +233,28 @@ references: given-names: M. J. - family-names: McGann given-names: M. - title: Non-axisymmetric, multi-region relaxed magnetohydrodynamic equilibrium + title: + Non-axisymmetric, multi-region relaxed magnetohydrodynamic equilibrium solutions journal: Plasma Phys. and Contr. Fusion - volume: '54' - issue: '1' - pages: '014005' + volume: "54" + issue: "1" + pages: "014005" year: 2011 doi: 10.1088/0741-3335/54/1/014005 - url: 'https://doi.org/10.1088/0741-3335/54/1/014005' + url: "https://doi.org/10.1088/0741-3335/54/1/014005" - type: article authors: - family-names: Lazerson given-names: S. A. title: The virtual-casing principle for 3D toroidal systems journal: Plasma Phys. and Contr. Fusion - volume: '54' - issue: '12' - pages: '122002' + volume: "54" + issue: "12" + pages: "122002" year: 2012 doi: 10.1088/0741-3335/54/12/122002 - url: 'https://doi.org/10.1088/0741-3335/54/12/122002' + url: "https://doi.org/10.1088/0741-3335/54/12/122002" - type: article authors: - family-names: Lazerson @@ -263,24 +265,24 @@ references: given-names: Y. title: A magnetic diagnostic code for 3D fusion equilibria journal: Plasma Phys. and Contr. Fusion - volume: '55' - issue: '2' - pages: '025014' + volume: "55" + issue: "2" + pages: "025014" year: 2013 doi: 10.1088/0741-3335/55/2/025014 - url: 'https://doi.org/10.1088/0741-3335/55/2/025014' + url: "https://doi.org/10.1088/0741-3335/55/2/025014" - type: article authors: - family-names: Hanson given-names: J. D. title: The virtual-casing principle and Helmholtz's theorem journal: Plasma Phys. and Contr. Fusion - volume: '57' - issue: '11' - pages: '115006' + volume: "57" + issue: "11" + pages: "115006" year: 2015 doi: 10.1088/0741-3335/57/11/115006 - url: 'https://doi.org/10.1088/0741-3335/57/11/115006' + url: "https://doi.org/10.1088/0741-3335/57/11/115006" - type: article authors: - family-names: Zhu @@ -293,9 +295,221 @@ references: given-names: Y. title: New method to design stellarator coils without the winding surface journal: Nucl. Fusion - volume: '58' - issue: '1' + volume: "58" + issue: "1" pages: 016008 year: 2017 doi: 10.1088/1741-4326/aa8e0a - url: 'https://doi.org/10.1088/1741-4326/aa8e0a' + url: "https://doi.org/10.1088/1741-4326/aa8e0a" + - type: article + authors: + - family-names: Baillod + given-names: Alexandre + - family-names: Loizu + given-names: Joaquim + orcid: https://orcid.org/0000-0002-4862-7393 + - family-names: Qu + given-names: Zhisong + orcid: https://orcid.org/0000-0003-4628-6983 + - family-names: Kumar + given-names: Ankit + - family-names: Graves + given-names: John P. + title: "Computation of multi-region, relaxed magnetohydrodynamic equilibria with prescribed toroidal current profile" + journal: "Journal of Plasma Physics" + volume: "87" + issue: "4" + pages: "905870403" + year: 2021 + doi: "10.1017/S0022377821000520" + url: "https://dx.doi.org/10.1017/S0022377821000520" + - type: article + authors: + - family-names: Loizu + given-names: Joaquim + orcid: https://orcid.org/0000-0002-4862-7393 + - family-names: Hudson + given-names: Stuart R. + orcid: https://orcid.org/0000-0003-1530-2733 + title: "Multi-region relaxed magnetohydrodynamic stability of a current sheet" + journal: "Physics of Plasmas" + volume: "26" + pages: "030702" + year: 2019 + doi: "10.1063/1.5091765" + url: "https://doi.org/10.1063/1.5091765" + - type: article + authors: + - family-names: Baillod + given-names: Alexandre + - family-names: Loizu + given-names: Joaquim + - family-names: Qu + given-names: Zhisong + orcid: https://orcid.org/0000-0003-4628-6983 + - family-names: Arbez + given-names: Henri-Paul + - family-names: Graves + given-names: John P. + title: "Equilibrium β-limits dependence on bootstrap current in classical stellarators" + journal: "Cambridge University Press" + year: 2023 + - type: article + authors: + - family-names: Loizu + given-names: Joaquim + - family-names: Bonfiglio + given-names: Davide + title: "Nonlinear saturation of resistive tearing modes in a cylindrical tokamak with and without solving the dynamics" + journal: "Cambridge University Press" + year: 2023 + - type: article + authors: + - family-names: Loizu + given-names: Joaquim + orcid: https://orcid.org/0000-0002-4862-7393 + - family-names: Huang + given-names: Yi-Min + - family-names: Hudson + given-names: Stuart R. + orcid: https://orcid.org/0000-0003-1530-2733 + - family-names: Baillod + given-names: Alexandre + - family-names: Kumar + given-names: Ankit + - family-names: Qu + given-names: Zhisong + orcid: https://orcid.org/0000-0003-4628-6983 + title: "Direct prediction of nonlinear tearing mode saturation using a variational principle" + journal: "Physics of Plasmas" + volume: "27" + pages: "070701" + year: 2020 + doi: "10.1063/5.0009110" + url: "https://doi.org/10.1063/5.0009110" + - type: article + authors: + - family-names: Loizu + given-names: Joaquim + - family-names: Hudson + given-names: Stuart R. + orcid: https://orcid.org/0000-0003-1530-2733 + - family-names: Bhattacharjee + given-names: Amitava + - family-names: Helander + given-names: Per + title: "Magnetic islands and singular currents at rational surfaces in three-dimensional magnetohydrodynamic equilibria" + journal: "Physics of Plasmas" + volume: "22" + pages: "022501" + year: 2015 + doi: "10.1063/1.4906888" + url: "https://doi.org/10.1063/1.4906888" + - type: article + authors: + - family-names: Loizu + given-names: Joaquim + - family-names: Hudson + given-names: Stuart R. + - family-names: Bhattacharjee + given-names: Amitava + - family-names: Lazerson + given-names: Samuel A. + orcid: https://orcid.org/0000-0001-8002-0121 + - family-names: Helander + given-names: Per + title: "Existence of three-dimensional ideal-magnetohydrodynamic equilibria with current sheets" + journal: "Physics of Plasmas" + volume: "22" + pages: "090704" + year: 2015 + doi: "10.1063/1.4931094" + url: "https://doi.org/10.1063/1.4931094" + - type: article + authors: + - family-names: Loizu + given-names: Joaquim + - family-names: Hudson + given-names: Stuart R. + - family-names: Nührenberg + given-names: Carolin + title: "Verification of the SPEC code in stellarator geometries" + journal: "Physics of Plasmas" + volume: "23" + pages: "112505" + year: 2016 + doi: "10.1063/1.4967709" + url: "https://doi.org/10.1063/1.4967709" + - type: article + authors: + - family-names: Loizu + given-names: Joaquim + orcid: https://orcid.org/0000-0002-4862-7393 + - family-names: Hudson + given-names: Stuart R. + orcid: https://orcid.org/0000-0003-1530-2733 + - family-names: Helander + given-names: Per + - family-names: Lazerson + given-names: Samuel A. + orcid: https://orcid.org/0000-0001-8002-0121 + - family-names: Bhattacharjee + given-names: Amitava + title: "Pressure-driven amplification and penetration of resonant magnetic perturbations" + journal: "Physics of Plasmas" + volume: "23" + pages: "055703" + year: 2016 + doi: "10.1063/1.4944818" + url: "https://doi.org/10.1063/1.4944818" + - type: article + authors: + - family-names: Loizu + given-names: Joaquim + orcid: https://orcid.org/0000-0002-4862-7393 + - family-names: Bonfiglio + given-names: Davide + title: "Nonlinear saturation of resistive tearing modes in a cylindrical tokamak with and without solving the dynamics" + journal: "Cambridge University Press" + year: 2023 + doi: 10.1017/S0022377823000934 + url: https://doi.org/10.1017/S0022377823000934 + - type: article + authors: + - family-names: Loizu + given-names: Joaquim + orcid: https://orcid.org/0000-0002-4862-7393 + - family-names: Hudson + given-names: Stuart R. + orcid: https://orcid.org/0000-0003-1530-2733 + - family-names: Nührenberg + given-names: Carolin + - family-names: Geiger + given-names: Joachim + - family-names: Helander + given-names: Per + title: "Equilibrium β-limits in classical stellarators" + journal: "Cambridge University Press" + year: 2017 + doi: 10.1017/S0022377817000861 + url: https://doi.org/10.1017/S0022377817000861 + + - type: article + authors: + - family-names: Baillod + given-names: Alexandre + - family-names: Loizu + given-names: Joaquim + orcid: https://orcid.org/0000-0002-4862-7393 + - family-names: Qu + given-names: Zhisong + orcid: https://orcid.org/0000-0003-4628-6983 + - family-names: Arbez + given-names: Henri-Paul + - family-names: Graves + given-names: John P. + title: "Equilibrium β-limits dependence on bootstrap current in classical stellarators" + journal: "Cambridge University Press" + year: 2023 + doi: 10.1017/S0022377823000910 + url: https://doi.org/10.1017/S0022377823000910 diff --git a/README.md b/README.md index bf4b6b28..5fd42160 100644 --- a/README.md +++ b/README.md @@ -3,9 +3,10 @@ If you use SPEC in your research, please cite it appropriately using the "Cite this repository" button on the right of the [SPEC GitHub Repository](https://github.com/PrincetonUniversity/SPEC) or the [CITATION.cff](https://github.com/PrincetonUniversity/SPEC/blob/master/CITATION.cff) file. -There is a [brief description of SPEC](http://theory.pppl.gov/research/research.php?rid=10#h5) on the Princeton Plasma Physics Laboratory [Theory Department website](http://theory.pppl.gov/). An overview of the algorithm is given in a [Flow Chart](https://princetonuniversity.github.io/SPEC/docs/SPEC_flowchart.pdf). - -Please direct questions/suggestions to [Stuart Hudson](mailto:shudson@pppl.gov?subject=spec). +- There is a [brief description of SPEC](http://theory.pppl.gov/research/research.php?rid=10#h5) on the Princeton Plasma Physics Laboratory [Theory Department website](http://theory.pppl.gov/). +- An overview of the algorithm is given in a [Flow Chart](https://princetonuniversity.github.io/SPEC/docs/SPEC_flowchart.pdf). +- A list of publications using SPEC +- Please direct questions/suggestions to [Stuart Hudson](mailto:shudson@pppl.gov?subject=spec). ## Installation Instructions for compiling and testing SPEC are in [compilation_instructions.md](https://github.com/PrincetonUniversity/SPEC/blob/master/compilation_instructions.md). From 228702a88bf5322609fedd3c217caedaf5da33f4 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Philipp=20Jura=C5=A1i=C4=87?= <58512364+missing-user@users.noreply.github.com> Date: Sat, 16 Nov 2024 11:09:11 +0100 Subject: [PATCH 14/34] Readme 404 fix (#1) * Add Flowchart to repository, fix URLs in README * added .ext.sp.DF and ext.sp.end to grp_output * added .GF.ma and .GF.ev files to grp_output * added SPEC flowchart to doxygen * added SPEC flowchart to doxygen * reverted Doxygen action name change * Add link to SPEC wiki for cluster installation instructions * Revert "Add link to SPEC wiki for cluster installation instructions" This reverts commit 0ca23130cbb6a63050929e265eb382832e8a4a0f. * Contributors citation file added * Changed preferred citation format to the first SPEC paper * added verification paper to references * use Citations.cff in readme * updated and validated cff --- .github/workflows/doxygen.yml | 3 +- CITATION.cff | 515 ++++++++++++++++++++++++++++++++++ README.md | 23 +- docs/SPEC_flowchart.pdf | Bin 0 -> 579100 bytes src/global.f90 | 3 +- src/hesian.f90 | 4 +- src/newton.f90 | 4 +- 7 files changed, 537 insertions(+), 15 deletions(-) create mode 100644 CITATION.cff create mode 100644 docs/SPEC_flowchart.pdf diff --git a/.github/workflows/doxygen.yml b/.github/workflows/doxygen.yml index 8abd9583..12f1685b 100644 --- a/.github/workflows/doxygen.yml +++ b/.github/workflows/doxygen.yml @@ -28,7 +28,8 @@ jobs: - name: Copy Pdf working-directory: ${{ github.workspace }} - run: sudo cp ./docs/latex/refman.pdf ./docs/html/SPEC_manual.pdf + run: sudo cp ./docs/latex/refman.pdf ./docs/html/SPEC_manual.pdf + cp ./docs/SPEC_flowchart.pdf ./docs/html/SPEC_flowchart.pdf - name: Deploy uses: peaceiris/actions-gh-pages@v3 diff --git a/CITATION.cff b/CITATION.cff new file mode 100644 index 00000000..5a6e19d6 --- /dev/null +++ b/CITATION.cff @@ -0,0 +1,515 @@ +cff-version: 1.2.0 +title: Stepped Pressure Equilibrium Code (SPEC) +message: If you use SPEC in your research, please cite the following works. +type: software +contact: + - family-names: Hudson + given-names: Stuart + email: shudson@pppl.gov + affiliation: Princeton Plasma Physics Laboratory + orcid: "https://orcid.org/0000-0003-1530-2733" +authors: + - family-names: Hudson + given-names: Stuart + email: shudson@pppl.gov + affiliation: Princeton Plasma Physics Laboratory + orcid: "https://orcid.org/0000-0003-1530-2733" + - family-names: Schilling + given-names: Jonathan + affiliation: Max-Planck Institute for Plasma Physics + orcid: https://orcid.org/0000-0002-6363-6554 + - family-names: Baillod + given-names: Antoine + affiliation: Columbia University + orcid: https://orcid.org/0000-0003-0352-9180 + - family-names: Qu + given-names: Zhisong + affiliation: Nanyang Technological University + orcid: https://orcid.org/0000-0003-4628-6983 + - family-names: Loizu + given-names: Joaquim + affiliation: Federal Institute of Technology Lausanne (EPFL) + orcid: https://orcid.org/0000-0002-4862-7393 + - family-names: Medasani + given-names: Bharat + affiliation: New Mexico State University + - family-names: Smiet + given-names: Christopher Berg + orcid: https://orcid.org/0000-0002-7803-7685 + affiliation: Federal Institute of Technology Lausanne (EPFL) + - family-names: Zhu + given-names: Caoxiang + affiliation: University of Science and Technology of China + orcid: https://orcid.org/0000-0003-2337-3232 + - family-names: Lazerson + given-names: Samuel Aaron + affiliation: Princeton Plasma Physics Laboratory + orcid: https://orcid.org/0000-0001-8002-0121 + - family-names: Breslau + given-names: Joshua + affiliation: Princeton Plasma Physics Laboratory + orcid: https://orcid.org/0000-0002-0649-4836 +identifiers: + - type: url + value: https://github.com/PrincetonUniversity/SPEC/releases/tag/v3.20 + description: The GitHub URL for the SPEC v3.20 release +repository-code: https://github.com/PrincetonUniversity/SPEC +url: https://princetonuniversity.github.io/SPEC/ +abstract: >- + A code for calculating magnetohydrodynamic equilibria with + stepped pressure-profiles, by finding stationary points in + the MRxMHD energy functional. +keywords: + - magnetohydrodynamics + - SPEC + - MRxMHD +license: GPL-3.0 +commit: 5996ea6db8cea383c659fced8e6a2c24cd774642 +version: "3.20" +date-released: "2022-07-01" +preferred-citation: + type: article + authors: + - family-names: Hudson + given-names: Stuart + email: shudson@pppl.gov + affiliation: "Princeton Plasma Physics Laboratory" + orcid: "https://orcid.org/0000-0003-1530-2733" + - family-names: Dewar + given-names: R. L. + affiliation: "Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia" + - family-names: Hole + given-names: M. J. + affiliation: "Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia" + - family-names: Dennis + given-names: G. + affiliation: "Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia" + - family-names: McGann + given-names: M. + affiliation: "Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia" + - family-names: von Nessi + given-names: G. + affiliation: "Plasma Research Laboratory, Research School of Physics & Engineering, The Australian National University, Canberra ACT 0200, Australia" + - family-names: Lazerson + given-names: Samuel Aaron + affiliation: "Princeton Plasma Physics Laboratory" + orcid: https://orcid.org/0000-0001-8002-0121 + title: Computation of multi-region relaxed magnetohydrodynamic equilibria + journal: Phys. Plasmas + volume: "19" + issue: "11" + year: 2012 + doi: 10.1063/1.4765691 + url: "https://doi.org/10.1063/1.4765691" +references: + - type: article + authors: + - family-names: Hudson + given-names: Stuart R. + orcid: https://orcid.org/0000-0003-1530-2733 + - family-names: Loizu + given-names: Joaquim + orcid: https://orcid.org/0000-0002-4862-7393 + - family-names: Zhu + given-names: Caoxiang + orcid: https://orcid.org/0000-0003-2337-3232 + - family-names: Qu + given-names: Zhisong + orcid: https://orcid.org/0000-0003-4628-6983 + - family-names: Nührenberg + given-names: Carolin + - family-names: Lazerson + given-names: Samuel A. + orcid: https://orcid.org/0000-0001-8002-0121 + - family-names: Smiet + given-names: Christopher Berg + orcid: https://orcid.org/0000-0002-7803-7685 + - family-names: Hole + given-names: Matthew J. + orcid: https://orcid.org/0000-0002-9550-8776 + title: "Free-boundary MRxMHD equilibrium calculations using the stepped-pressure equilibrium code" + journal: "Plasma Physics and Controlled Fusion" + volume: "62" + issue: "8" + pages: "084002" + year: 2020 + doi: "10.1088/1361-6587/ab9a61" + url: "https://dx.doi.org/10.1088/1361-6587/ab9a61" + - type: article + authors: + - family-names: Shafranov + given-names: V. D. + - family-names: Zakharov + given-names: L. E. + title: + Use of the virtual-casing principle in calculating the containing magnetic + field in toroidal plasma systems + journal: Nucl. Fusion + volume: "12" + issue: "5" + pages: 599--601 + year: 1972 + doi: 10.1088/0029-5515/12/5/009 + url: "https://doi.org/10.1088/0029-5515/12/5/009" + - type: article + title: Stepped pressure equilibrium with relaxed flow and applications in reversed-field pinch plasmas + doi: 10.1088/1361-6587/ab7fc5 + url: "https://doi.org/10.1088/1361-6587/ab7fc5" + authors: + - family-names: Qu + given-names: Zhisong + orcid: https://orcid.org/0000-0003-4628-6983 + - family-names: Dewar + given-names: R. L. + - family-names: Ebrahimi + given-names: F. + - family-names: Anderson + given-names: J. K. + - family-names: Hudson + given-names: Stuart R. + orcid: https://orcid.org/0000-0003-1530-2733 + - family-names: Hole + given-names: Matthew J. + orcid: https://orcid.org/0000-0002-9550-8776 + journal: "Plasma Physics and Controlled Fusion" + volume: "62" + issue: "5" + pages: "054002" + year: 2020 + month: "4" + - type: article + authors: + - family-names: Hirshman + given-names: S. P. + - family-names: Meier + given-names: H. K. + title: Optimized Fourier representations for three‐dimensional magnetic surfaces + journal: Phys. Fluids + volume: "28" + issue: "5" + pages: 1387-1391 + year: 1985 + doi: 10.1063/1.864972 + url: "https://aip.scitation.org/doi/abs/10.1063/1.864972" + - type: article + authors: + - family-names: Hirshman + given-names: S. P. + - family-names: Breslau + given-names: J. + title: Explicit spectrally optimized Fourier series for nested magnetic surfaces + journal: Phys. Plas. + volume: "5" + issue: "7" + pages: 2664-2675 + year: 1998 + doi: 10.1063/1.872954 + url: "https://doi.org/10.1063/1.872954" + - type: article + authors: + - family-names: Hirshman + given-names: S. P. + - family-names: Perumalla + given-names: K. S. + - family-names: Lynch + given-names: V. E. + - family-names: Sanchez + given-names: R. + title: "BCYCLIC: A parallel block tridiagonal matrix cyclic solver" + journal: J. Comp. Phys. + volume: "229" + issue: "18" + pages: 6392-6404 + year: 2010 + doi: 10.1016/j.jcp.2010.04.049 + url: "http://www.sciencedirect.com/science/article/pii/S0021999110002536" + - type: article + authors: + - family-names: Hudson + given-names: S. R. + - family-names: Dewar + given-names: R. L. + - family-names: Hole + given-names: M. J. + - family-names: McGann + given-names: M. + title: + Non-axisymmetric, multi-region relaxed magnetohydrodynamic equilibrium + solutions + journal: Plasma Phys. and Contr. Fusion + volume: "54" + issue: "1" + pages: "014005" + year: 2011 + doi: 10.1088/0741-3335/54/1/014005 + url: "https://doi.org/10.1088/0741-3335/54/1/014005" + - type: article + authors: + - family-names: Lazerson + given-names: S. A. + title: The virtual-casing principle for 3D toroidal systems + journal: Plasma Phys. and Contr. Fusion + volume: "54" + issue: "12" + pages: "122002" + year: 2012 + doi: 10.1088/0741-3335/54/12/122002 + url: "https://doi.org/10.1088/0741-3335/54/12/122002" + - type: article + authors: + - family-names: Lazerson + given-names: S. A. + - family-names: Sakakibara + given-names: S. + - family-names: Suzuki + given-names: Y. + title: A magnetic diagnostic code for 3D fusion equilibria + journal: Plasma Phys. and Contr. Fusion + volume: "55" + issue: "2" + pages: "025014" + year: 2013 + doi: 10.1088/0741-3335/55/2/025014 + url: "https://doi.org/10.1088/0741-3335/55/2/025014" + - type: article + authors: + - family-names: Hanson + given-names: J. D. + title: The virtual-casing principle and Helmholtz's theorem + journal: Plasma Phys. and Contr. Fusion + volume: "57" + issue: "11" + pages: "115006" + year: 2015 + doi: 10.1088/0741-3335/57/11/115006 + url: "https://doi.org/10.1088/0741-3335/57/11/115006" + - type: article + authors: + - family-names: Zhu + given-names: C. + - family-names: Hudson + given-names: S. R. + - family-names: Song + given-names: Y. + - family-names: Wan + given-names: Y. + title: New method to design stellarator coils without the winding surface + journal: Nucl. Fusion + volume: "58" + issue: "1" + pages: 016008 + year: 2017 + doi: 10.1088/1741-4326/aa8e0a + url: "https://doi.org/10.1088/1741-4326/aa8e0a" + - type: article + authors: + - family-names: Baillod + given-names: Alexandre + - family-names: Loizu + given-names: Joaquim + orcid: https://orcid.org/0000-0002-4862-7393 + - family-names: Qu + given-names: Zhisong + orcid: https://orcid.org/0000-0003-4628-6983 + - family-names: Kumar + given-names: Ankit + - family-names: Graves + given-names: John P. + title: "Computation of multi-region, relaxed magnetohydrodynamic equilibria with prescribed toroidal current profile" + journal: "Journal of Plasma Physics" + volume: "87" + issue: "4" + pages: "905870403" + year: 2021 + doi: "10.1017/S0022377821000520" + url: "https://dx.doi.org/10.1017/S0022377821000520" + - type: article + authors: + - family-names: Loizu + given-names: Joaquim + orcid: https://orcid.org/0000-0002-4862-7393 + - family-names: Hudson + given-names: Stuart R. + orcid: https://orcid.org/0000-0003-1530-2733 + title: "Multi-region relaxed magnetohydrodynamic stability of a current sheet" + journal: "Physics of Plasmas" + volume: "26" + pages: "030702" + year: 2019 + doi: "10.1063/1.5091765" + url: "https://doi.org/10.1063/1.5091765" + - type: article + authors: + - family-names: Baillod + given-names: Alexandre + - family-names: Loizu + given-names: Joaquim + - family-names: Qu + given-names: Zhisong + orcid: https://orcid.org/0000-0003-4628-6983 + - family-names: Arbez + given-names: Henri-Paul + - family-names: Graves + given-names: John P. + title: "Equilibrium β-limits dependence on bootstrap current in classical stellarators" + journal: "Cambridge University Press" + year: 2023 + - type: article + authors: + - family-names: Loizu + given-names: Joaquim + - family-names: Bonfiglio + given-names: Davide + title: "Nonlinear saturation of resistive tearing modes in a cylindrical tokamak with and without solving the dynamics" + journal: "Cambridge University Press" + year: 2023 + - type: article + authors: + - family-names: Loizu + given-names: Joaquim + orcid: https://orcid.org/0000-0002-4862-7393 + - family-names: Huang + given-names: Yi-Min + - family-names: Hudson + given-names: Stuart R. + orcid: https://orcid.org/0000-0003-1530-2733 + - family-names: Baillod + given-names: Alexandre + - family-names: Kumar + given-names: Ankit + - family-names: Qu + given-names: Zhisong + orcid: https://orcid.org/0000-0003-4628-6983 + title: "Direct prediction of nonlinear tearing mode saturation using a variational principle" + journal: "Physics of Plasmas" + volume: "27" + pages: "070701" + year: 2020 + doi: "10.1063/5.0009110" + url: "https://doi.org/10.1063/5.0009110" + - type: article + authors: + - family-names: Loizu + given-names: Joaquim + - family-names: Hudson + given-names: Stuart R. + orcid: https://orcid.org/0000-0003-1530-2733 + - family-names: Bhattacharjee + given-names: Amitava + - family-names: Helander + given-names: Per + title: "Magnetic islands and singular currents at rational surfaces in three-dimensional magnetohydrodynamic equilibria" + journal: "Physics of Plasmas" + volume: "22" + pages: "022501" + year: 2015 + doi: "10.1063/1.4906888" + url: "https://doi.org/10.1063/1.4906888" + - type: article + authors: + - family-names: Loizu + given-names: Joaquim + - family-names: Hudson + given-names: Stuart R. + - family-names: Bhattacharjee + given-names: Amitava + - family-names: Lazerson + given-names: Samuel A. + orcid: https://orcid.org/0000-0001-8002-0121 + - family-names: Helander + given-names: Per + title: "Existence of three-dimensional ideal-magnetohydrodynamic equilibria with current sheets" + journal: "Physics of Plasmas" + volume: "22" + pages: "090704" + year: 2015 + doi: "10.1063/1.4931094" + url: "https://doi.org/10.1063/1.4931094" + - type: article + authors: + - family-names: Loizu + given-names: Joaquim + - family-names: Hudson + given-names: Stuart R. + - family-names: Nührenberg + given-names: Carolin + title: "Verification of the SPEC code in stellarator geometries" + journal: "Physics of Plasmas" + volume: "23" + pages: "112505" + year: 2016 + doi: "10.1063/1.4967709" + url: "https://doi.org/10.1063/1.4967709" + - type: article + authors: + - family-names: Loizu + given-names: Joaquim + orcid: https://orcid.org/0000-0002-4862-7393 + - family-names: Hudson + given-names: Stuart R. + orcid: https://orcid.org/0000-0003-1530-2733 + - family-names: Helander + given-names: Per + - family-names: Lazerson + given-names: Samuel A. + orcid: https://orcid.org/0000-0001-8002-0121 + - family-names: Bhattacharjee + given-names: Amitava + title: "Pressure-driven amplification and penetration of resonant magnetic perturbations" + journal: "Physics of Plasmas" + volume: "23" + pages: "055703" + year: 2016 + doi: "10.1063/1.4944818" + url: "https://doi.org/10.1063/1.4944818" + - type: article + authors: + - family-names: Loizu + given-names: Joaquim + orcid: https://orcid.org/0000-0002-4862-7393 + - family-names: Bonfiglio + given-names: Davide + title: "Nonlinear saturation of resistive tearing modes in a cylindrical tokamak with and without solving the dynamics" + journal: "Cambridge University Press" + year: 2023 + doi: 10.1017/S0022377823000934 + url: https://doi.org/10.1017/S0022377823000934 + - type: article + authors: + - family-names: Loizu + given-names: Joaquim + orcid: https://orcid.org/0000-0002-4862-7393 + - family-names: Hudson + given-names: Stuart R. + orcid: https://orcid.org/0000-0003-1530-2733 + - family-names: Nührenberg + given-names: Carolin + - family-names: Geiger + given-names: Joachim + - family-names: Helander + given-names: Per + title: "Equilibrium β-limits in classical stellarators" + journal: "Cambridge University Press" + year: 2017 + doi: 10.1017/S0022377817000861 + url: https://doi.org/10.1017/S0022377817000861 + + - type: article + authors: + - family-names: Baillod + given-names: Alexandre + - family-names: Loizu + given-names: Joaquim + orcid: https://orcid.org/0000-0002-4862-7393 + - family-names: Qu + given-names: Zhisong + orcid: https://orcid.org/0000-0003-4628-6983 + - family-names: Arbez + given-names: Henri-Paul + - family-names: Graves + given-names: John P. + title: "Equilibrium β-limits dependence on bootstrap current in classical stellarators" + journal: "Cambridge University Press" + year: 2023 + doi: 10.1017/S0022377823000910 + url: https://doi.org/10.1017/S0022377823000910 diff --git a/README.md b/README.md index bb6d35d2..5fd42160 100644 --- a/README.md +++ b/README.md @@ -1,13 +1,18 @@ -# The Stepped Pressure Equilibrium Code +# ![SPEC logo](SPEC_97x55.png) The Stepped Pressure Equilibrium Code -All relevant publications and presentations are given on the [MRxMHD website](http://w3.pppl.gov/~shudson/Spec/spec.html). -A BibTex file is available: [spec_refs.bib](https://raw.githubusercontent.com/PrincetonUniversity/SPEC/master/spec_refs.bib). +If you use SPEC in your research, please cite it appropriately using the "Cite this repository" button on the right of the [SPEC GitHub Repository](https://github.com/PrincetonUniversity/SPEC) or the [CITATION.cff](https://github.com/PrincetonUniversity/SPEC/blob/master/CITATION.cff) file. -* There is also a [brief description of SPEC](http://theory.pppl.gov/research/research.php?rid=10#h5) - on the Princeton Plasma Physics Laboratory [Theory Department website](http://theory.pppl.gov/). -* An overview of the algorithm is given in a [Flow Chart](http://w3.pppl.gov/~shudson/Spec/SpecFlowchart.pdf). -* Please direct questions/suggestions to [Stuart Hudson](mailto:shudson@pppl.gov?subject=spec). -* Online documentation for SPEC is available on [Github pages](https://princetonuniversity.github.io/SPEC/). +- There is a [brief description of SPEC](http://theory.pppl.gov/research/research.php?rid=10#h5) on the Princeton Plasma Physics Laboratory [Theory Department website](http://theory.pppl.gov/). +- An overview of the algorithm is given in a [Flow Chart](https://princetonuniversity.github.io/SPEC/docs/SPEC_flowchart.pdf). +- A list of publications using SPEC +- Please direct questions/suggestions to [Stuart Hudson](mailto:shudson@pppl.gov?subject=spec). + +## Installation +Instructions for compiling and testing SPEC are in [compilation_instructions.md](https://github.com/PrincetonUniversity/SPEC/blob/master/compilation_instructions.md). + +## Documentation +Online documentation for SPEC is available on [Github pages](https://princetonuniversity.github.io/SPEC/). A PDF version of this manual is available in [SPEC_manual.pdf](https://princetonuniversity.github.io/SPEC/SPEC_manual.pdf). -* Instructions for compiling and testing SPEC are in [Compile.md](https://github.com/PrincetonUniversity/SPEC/blob/master/Compile.md). + + diff --git a/docs/SPEC_flowchart.pdf b/docs/SPEC_flowchart.pdf new file mode 100644 index 0000000000000000000000000000000000000000..a3f53c3feb0b6a60665cfb34f164a18d0b0aa1e2 GIT binary patch literal 579100 zcmc$_1yoyI(MKyeQi+)IJtkl+L;Rvd~H3EEPi!3pjZ z5AH6P=XpPQzyH7QTHlqm?pb@SlYM6Po;iEY%b<)-1H zaWu6hz!eqc)bet&;FL0fn%Fy9ajKbES-8^h+<`SXl}sR3OcoG!ZB1qxPEDwbn;BHg z#lk|v(Gg0+%lkKqvWbhGJjBxRZkoS-TA0(^p;?IET?Dum5c9uD{59Esq4hTnPANw> z2$Y7KQ_;rU)qv*j>A*DqJnpYY|G#l}47ym{jr#|O8WygOZZ2jPu6OjMJ)yFiP!p)d z-EUbZc_ia$^W%(oNpiyN9f&3 z^86)R4H}-m`K96cw}s_YwlKFbdF$wDa0lh05#-^b;pgK5)7*&x0=-*MSDJsYEbHRv z=5)uz-yg-_9ZpS7Ef*7rtJ7Z#Z|21*rOElu!rjKqLPPfL9a$|CQ`b9`e|#SQ5RNMi z*FVeguZjO%jxsj(Pzx7M8T&gqy|XZLG`HYXvVd4Yt!cP@I|ur@wc#=u+qbgpDHt=wd)oEm#~qjvdS)Z 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z#R9P3idhlAYreZ~=rQs5iBRw*mgJZ0cN?fts%7taL{-G@0)d7tN4X?sV3MZ_GG3?m z5&n`FC5_F;_R=*$D@Aljc@okX^2wMQi$l)0WD$G4C?rPlBvle=`93m66hgTxft@}= zJaME%67c|oVd~-G6NF!T3u2yw5Gt|MP=D|hi5k2;uHSpU?I5x~F>{6iN;AdrROkMbB;8N{h#GAvI1FH{@}(0&dl&fc}$GV zYz%+!U}9orVfaHoCIAE5pFEg=jEsOk%L8NV|HJ?+|HN4Sp$m|amGuuE;5yiu|I`J@ z#K^?0G7XCtbf7S{(`ap69a;W#-C#WY*+upnErzO zWgLO+{-1gO!UOmh9>Blw0RDvs@Gm@=|H1>@NB__TY%l-B{=$R#FFct4!h`uQJedE& z18hV8toJWGSpLETJU;%Bm*p=!SpLETe5d-4yg)Ya{pC*^XJchy|6^=1gCX|+F+S{V zbxkb{ZQ)_S^WDE^IoAK*r?!7jUb?pS|GtScv$6u27~o+@Nrh!a;9>svogIw)-%yVJ ho2{WE!M}C-ugPD*-V%KJuU7kq-fZlQZ2ztI{{p=5&6ofH literal 0 HcmV?d00001 diff --git a/src/global.f90 b/src/global.f90 index 1429473f..c4b23cc3 100644 --- a/src/global.f90 +++ b/src/global.f90 @@ -1577,7 +1577,8 @@ subroutine broadcast_inputs !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! -!> \brief The restart file is written. +!> \brief Write the restart file \c ext.sp.end +!> \ingroup grp_output subroutine wrtend use constants, only : diff --git a/src/hesian.f90 b/src/hesian.f90 index 2ea18d90..f623b893 100644 --- a/src/hesian.f90 +++ b/src/hesian.f90 @@ -1,8 +1,8 @@ !> \file !> \brief Computes eigenvalues and eigenvectors of derivative matrix, \f$\nabla_{\bf xi}{\bf F}\f$. -!> \brief Computes eigenvalues and eigenvectors of derivative matrix, \f$\nabla_{\bf xi}{\bf F}\f$. -!> \ingroup grp_diagnostics +!> \brief Computes eigenvalues and eigenvectors of derivative matrix, \f$\nabla_{\bf xi}{\bf F}\f$ and saves them to \c .ext.GF.ev and \c .ext.GF.ma +!> \ingroup grp_diagnostics grp_output !> !> @param[in] NGdof number of global degrees of freedom !> @param[inout] position internal geometrical degrees of freedom diff --git a/src/newton.f90 b/src/newton.f90 index 7bd26216..2c0d1e2d 100644 --- a/src/newton.f90 +++ b/src/newton.f90 @@ -295,8 +295,8 @@ end subroutine newton !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! -!> \brief read or write force-derivative matrix -!> \ingroup grp_force_driver +!> \brief read or write force-derivative matrix \c .ext.sp.DF +!> \ingroup grp_force_driver grp_output !> !> @param[in] readorwrite !> @param[in] NGdof From 68c11d9bb01ddac9714923076753b886d41cf10a Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Philipp=20Jura=C5=A1i=C4=87?= <58512364+missing-user@users.noreply.github.com> Date: Sat, 16 Nov 2024 11:20:14 +0100 Subject: [PATCH 15/34] Update doxygen.yml --- .github/workflows/doxygen.yml | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/.github/workflows/doxygen.yml b/.github/workflows/doxygen.yml index 12f1685b..11fe62a4 100644 --- a/.github/workflows/doxygen.yml +++ b/.github/workflows/doxygen.yml @@ -28,7 +28,9 @@ jobs: - name: Copy Pdf working-directory: ${{ github.workspace }} - run: sudo cp ./docs/latex/refman.pdf ./docs/html/SPEC_manual.pdf + run: ls -ld ./docs/html + ls -l ./docs/html + sudo cp ./docs/latex/refman.pdf ./docs/html/SPEC_manual.pdf cp ./docs/SPEC_flowchart.pdf ./docs/html/SPEC_flowchart.pdf - name: Deploy From 519ce96717e8997d71a11224848f521556c0a815 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Philipp=20Jura=C5=A1i=C4=87?= <58512364+missing-user@users.noreply.github.com> Date: Sat, 16 Nov 2024 11:25:06 +0100 Subject: [PATCH 16/34] Update doxygen.yml --- .github/workflows/doxygen.yml | 7 +++++-- 1 file changed, 5 insertions(+), 2 deletions(-) diff --git a/.github/workflows/doxygen.yml b/.github/workflows/doxygen.yml index 11fe62a4..4934aab1 100644 --- a/.github/workflows/doxygen.yml +++ b/.github/workflows/doxygen.yml @@ -28,10 +28,13 @@ jobs: - name: Copy Pdf working-directory: ${{ github.workspace }} - run: ls -ld ./docs/html + run: | + ls -ld ./docs/html ls -l ./docs/html - sudo cp ./docs/latex/refman.pdf ./docs/html/SPEC_manual.pdf + cp ./docs/latex/refman.pdf ./docs/html/SPEC_manual.pdf cp ./docs/SPEC_flowchart.pdf ./docs/html/SPEC_flowchart.pdf + python3 --Version + pip install pyyaml - name: Deploy uses: peaceiris/actions-gh-pages@v3 From a74bf48be3e7d4e88b0602cdc434cc74b084e6a3 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Philipp=20Jura=C5=A1i=C4=87?= <58512364+missing-user@users.noreply.github.com> Date: Sat, 16 Nov 2024 11:34:24 +0100 Subject: [PATCH 17/34] Update doxygen.yml --- .github/workflows/doxygen.yml | 10 ++++------ 1 file changed, 4 insertions(+), 6 deletions(-) diff --git a/.github/workflows/doxygen.yml b/.github/workflows/doxygen.yml index 4934aab1..e7afa3ca 100644 --- a/.github/workflows/doxygen.yml +++ b/.github/workflows/doxygen.yml @@ -29,12 +29,10 @@ jobs: - name: Copy Pdf working-directory: ${{ github.workspace }} run: | - ls -ld ./docs/html - ls -l ./docs/html - cp ./docs/latex/refman.pdf ./docs/html/SPEC_manual.pdf - cp ./docs/SPEC_flowchart.pdf ./docs/html/SPEC_flowchart.pdf - python3 --Version - pip install pyyaml + cp ./docs/latex/refman.pdf ./docs/html/SPEC_manual.pdf + cp ./docs/SPEC_flowchart.pdf ./docs/html/SPEC_flowchart.pdf + python3 --Version + pip install pyyaml - name: Deploy uses: peaceiris/actions-gh-pages@v3 From 012fceafdb60b0d02f0d689641dee8e64dc13000 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Philipp=20Jura=C5=A1i=C4=87?= <58512364+missing-user@users.noreply.github.com> Date: Sat, 16 Nov 2024 11:38:15 +0100 Subject: [PATCH 18/34] Update doxygen.yml --- .github/workflows/doxygen.yml | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/.github/workflows/doxygen.yml b/.github/workflows/doxygen.yml index e7afa3ca..11e1f581 100644 --- a/.github/workflows/doxygen.yml +++ b/.github/workflows/doxygen.yml @@ -29,8 +29,8 @@ jobs: - name: Copy Pdf working-directory: ${{ github.workspace }} run: | - cp ./docs/latex/refman.pdf ./docs/html/SPEC_manual.pdf - cp ./docs/SPEC_flowchart.pdf ./docs/html/SPEC_flowchart.pdf + sudo cp ./docs/latex/refman.pdf ./docs/html/SPEC_manual.pdf + sudo cp ./docs/SPEC_flowchart.pdf ./docs/html/SPEC_flowchart.pdf python3 --Version pip install pyyaml From 6a231606a626968fc1b83eed7dfa01c234842905 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Philipp=20Jura=C5=A1i=C4=87?= <58512364+missing-user@users.noreply.github.com> Date: Sat, 16 Nov 2024 11:41:19 +0100 Subject: [PATCH 19/34] Update doxygen.yml --- .github/workflows/doxygen.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.github/workflows/doxygen.yml b/.github/workflows/doxygen.yml index 11e1f581..865db765 100644 --- a/.github/workflows/doxygen.yml +++ b/.github/workflows/doxygen.yml @@ -31,7 +31,7 @@ jobs: run: | sudo cp ./docs/latex/refman.pdf ./docs/html/SPEC_manual.pdf sudo cp ./docs/SPEC_flowchart.pdf ./docs/html/SPEC_flowchart.pdf - python3 --Version + python3 --version pip install pyyaml - name: Deploy From b50dfdc89c26ed8008eb85de8e19bf99dd899851 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Philipp=20Jura=C5=A1i=C4=87?= <58512364+missing-user@users.noreply.github.com> Date: Sat, 16 Nov 2024 13:16:41 +0100 Subject: [PATCH 20/34] add cff validarion to doxygen action --- .github/workflows/doxygen.yml | 14 +++++++++++--- 1 file changed, 11 insertions(+), 3 deletions(-) diff --git a/.github/workflows/doxygen.yml b/.github/workflows/doxygen.yml index 12f1685b..ea62c18e 100644 --- a/.github/workflows/doxygen.yml +++ b/.github/workflows/doxygen.yml @@ -19,7 +19,14 @@ jobs: steps: # Checks-out your repository under $GITHUB_WORKSPACE, so your job can access it - uses: actions/checkout@v2 - + + # Validate CITATION.cff and generate bibtex + - name: CITATION.cff to spec_refs.bib + run: | + pip install --user pyyaml cffconvert==2.0.0 + cffconvert --validate + python ci/cff_to_bib_refs.py + # run doxygen - name: Doxygen Action uses: mattnotmitt/doxygen-action@v1.9.2 @@ -28,8 +35,9 @@ jobs: - name: Copy Pdf working-directory: ${{ github.workspace }} - run: sudo cp ./docs/latex/refman.pdf ./docs/html/SPEC_manual.pdf - cp ./docs/SPEC_flowchart.pdf ./docs/html/SPEC_flowchart.pdf + run: | + sudo cp ./docs/latex/refman.pdf ./docs/html/SPEC_manual.pdf + sudo cp ./docs/SPEC_flowchart.pdf ./docs/html/SPEC_flowchart.pdf - name: Deploy uses: peaceiris/actions-gh-pages@v3 From 8b26f02e750921c136ac164eb5ce892cb050102e Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Philipp=20Jura=C5=A1i=C4=87?= <58512364+missing-user@users.noreply.github.com> Date: Sat, 16 Nov 2024 13:19:38 +0100 Subject: [PATCH 21/34] Create cff_to_bib_refs.py --- ci/cff_to_bib_refs.py | 38 ++++++++++++++++++++++++++++++++++++++ 1 file changed, 38 insertions(+) create mode 100644 ci/cff_to_bib_refs.py diff --git a/ci/cff_to_bib_refs.py b/ci/cff_to_bib_refs.py new file mode 100644 index 00000000..ba77e0f9 --- /dev/null +++ b/ci/cff_to_bib_refs.py @@ -0,0 +1,38 @@ +import yaml + +# Helper script to keep spec_refs (used to generate doxygen bibliography) +# in sync with the machine readable CITATION.cff file. +def cff_to_bibtex(cff_file, output_file): + with open(cff_file, "r") as file: + cff_data = yaml.safe_load(file) + + bibtex_entries = [] + + for ref in cff_data.get("references", []): + if ref.get("type") == "article": + authors = " and ".join( + f"{author['given-names']} {author['family-names']}" + for author in ref.get("authors", []) + ) + bibtex_entry = ( + f"@article{{{ref.get('doi', 'unknown').replace('/', '_')},\n" + f" title={{ {ref.get('title')} }},\n" + f" author={{ {authors} }},\n" + f" journal={{ {ref.get('journal')} }},\n" + f" volume={{ {ref.get('volume')} }},\n" + f" number={{ {ref.get('issue', '')} }},\n" + f" pages={{ {ref.get('pages', '')} }},\n" + f" year={{ {ref.get('year')} }},\n" + f" doi={{ {ref.get('doi')} }},\n" + f" url={{ {ref.get('url')} }}\n" + f"}}" + ) + bibtex_entries.append(bibtex_entry) + + with open(output_file, "w") as file: + file.write("\n\n".join(bibtex_entries)) + + print(f"BibTeX entries written to {output_file}") + +# Usage +cff_to_bibtex("CITATION.cff", "spec_refs.bib") From f3c9add82e107de888be8eeb189b340ed783ea95 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Philipp=20Jura=C5=A1i=C4=87?= <58512364+missing-user@users.noreply.github.com> Date: Sat, 16 Nov 2024 13:30:59 +0100 Subject: [PATCH 22/34] Delete spec_refs.bib --- spec_refs.bib | 122 -------------------------------------------------- 1 file changed, 122 deletions(-) delete mode 100644 spec_refs.bib diff --git a/spec_refs.bib b/spec_refs.bib deleted file mode 100644 index bf7e70cc..00000000 --- a/spec_refs.bib +++ /dev/null @@ -1,122 +0,0 @@ -@article{y1972_shafranov_zakharov, - doi = {10.1088/0029-5515/12/5/009}, - url = {https://doi.org/10.1088%2F0029-5515%2F12%2F5%2F009}, - year = 1972, - month = {sep}, - publisher = {{IOP} Publishing}, - volume = {12}, - number = {5}, - pages = {599--601}, - author = {Shafranov, V. D. and Zakharov, L. E.}, - title = {Use of the virtual-casing principle in calculating the containing magnetic field in toroidal plasma systems}, - journal = {Nucl. Fusion}, -} - -@article{y1985_hirshman, - author = {Hirshman, S. P. and Meier, H. K.}, - title = {{Optimized Fourier representations for three‐dimensional magnetic surfaces}}, - journal = {Phys. Fluids}, - volume = {28}, - number = {5}, - pages = {1387-1391}, - year = {1985}, - doi = {10.1063/1.864972}, - URL = {https://aip.scitation.org/doi/abs/10.1063/1.864972}, - eprint = {https://aip.scitation.org/doi/pdf/10.1063/1.864972} -} - -@article{y1998_hirshman, - author = {Hirshman, S. P. and Breslau, J.}, - title = {{Explicit spectrally optimized Fourier series for nested magnetic surfaces}}, - journal = {Phys. Plas.}, - volume = {5}, - number = {7}, - pages = {2664-2675}, - year = {1998}, - doi = {10.1063/1.872954}, - URL = {https://doi.org/10.1063/1.872954}, - eprint = {https://doi.org/10.1063/1.872954} -} - -@article{y2010_hirshman, - title = {{BCYCLIC: A parallel block tridiagonal matrix cyclic solver}}, - journal = {J. Comp. Phys.}, - volume = {229}, - number = {18}, - pages = {6392 - 6404}, - year = {2010}, - issn = {0021-9991}, - doi = {https://doi.org/10.1016/j.jcp.2010.04.049}, - url = {http://www.sciencedirect.com/science/article/pii/S0021999110002536}, - author = {Hirshman, S.P. and Perumalla, K. S. and Lynch, V. E. and Sanchez, R.}, -} - -@article{y2011_hudson, - doi = {10.1088/0741-3335/54/1/014005}, - url = {https://doi.org/10.1088%2F0741-3335%2F54%2F1%2F014005}, - year = 2011, - month = {dec}, - publisher = {{IOP} Publishing}, - volume = {54}, - number = {1}, - pages = {014005}, - author = {Hudson, S. R. and Dewar, R. L. and Hole, M. J. and McGann, M.}, - title = {Non-axisymmetric, multi-region relaxed magnetohydrodynamic equilibrium solutions}, - journal = {Plasma Phys. and Contr. Fusion} -} - -@article{y2012_lazerson, - doi = {10.1088/0741-3335/54/12/122002}, - url = {https://doi.org/10.1088%2F0741-3335%2F54%2F12%2F122002}, - year = 2012, - month = {nov}, - publisher = {{IOP} Publishing}, - volume = {54}, - number = {12}, - pages = {122002}, - author = {Lazerson, S. A.}, - title = {{The virtual-casing principle for 3D toroidal systems}}, - journal = {Plasma Phys. and Contr. Fusion} -} - -@article{y2013_lazerson, - doi = {10.1088/0741-3335/55/2/025014}, - url = {https://doi.org/10.1088%2F0741-3335%2F55%2F2%2F025014}, - year = 2013, - month = {jan}, - publisher = {{IOP} Publishing}, - volume = {55}, - number = {2}, - pages = {025014}, - author = {Lazerson, S. A. and Sakakibara, S. and Suzuki, Y.}, - title = {{A magnetic diagnostic code for 3D fusion equilibria}}, - journal = {Plasma Phys. and Contr. Fusion} -} - -@article{y2015_hanson, - doi = {10.1088/0741-3335/57/11/115006}, - url = {https://doi.org/10.1088%2F0741-3335%2F57%2F11%2F115006}, - year = 2015, - month = {sep}, - publisher = {{IOP} Publishing}, - volume = {57}, - number = {11}, - pages = {115006}, - author = {Hanson, J. D.}, - title = {{The virtual-casing principle and Helmholtz's theorem}}, - journal = {Plasma Phys. and Contr. Fusion} -} - -@article{y2017_zhu, - doi = {10.1088/1741-4326/aa8e0a}, - url = {https://doi.org/10.1088%2F1741-4326%2Faa8e0a}, - year = 2017, - month = {nov}, - publisher = {{IOP} Publishing}, - volume = {58}, - number = {1}, - pages = {016008}, - author = {Zhu, C. and Hudson, S. R. and Song, Y. and Wan, Y.}, - title = {New method to design stellarator coils without the winding surface}, - journal = {Nucl. Fusion} -} From 8f125f6941547f87d5102bc5230d8aa191cdaf52 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Philipp=20Jura=C5=A1i=C4=87?= <58512364+missing-user@users.noreply.github.com> Date: Sat, 16 Nov 2024 16:51:22 +0100 Subject: [PATCH 23/34] Update cff_to_bib_refs.py --- ci/cff_to_bib_refs.py | 24 ++++++++++++++++++++++-- 1 file changed, 22 insertions(+), 2 deletions(-) diff --git a/ci/cff_to_bib_refs.py b/ci/cff_to_bib_refs.py index ba77e0f9..4b21f8b4 100644 --- a/ci/cff_to_bib_refs.py +++ b/ci/cff_to_bib_refs.py @@ -7,22 +7,42 @@ def cff_to_bibtex(cff_file, output_file): cff_data = yaml.safe_load(file) bibtex_entries = [] + used_keys = set() for ref in cff_data.get("references", []): if ref.get("type") == "article": + # Extract year and first author's last name + year = ref.get("year", "unknown") + first_author_last_name = ( + ref.get("authors", [{}])[0].get("family-names", "unknown").lower() + ) + + # Construct the initial BibTeX key + base_key = f"y{year}_{first_author_last_name}" + key = base_key + + # Ensure the key is unique + count = 1 + while key in used_keys: + key = f"{base_key}_{count}" + count += 1 + used_keys.add(key) + + # Construct author string authors = " and ".join( f"{author['given-names']} {author['family-names']}" for author in ref.get("authors", []) ) + bibtex_entry = ( - f"@article{{{ref.get('doi', 'unknown').replace('/', '_')},\n" + f"@article{{{key},\n" f" title={{ {ref.get('title')} }},\n" f" author={{ {authors} }},\n" f" journal={{ {ref.get('journal')} }},\n" f" volume={{ {ref.get('volume')} }},\n" f" number={{ {ref.get('issue', '')} }},\n" f" pages={{ {ref.get('pages', '')} }},\n" - f" year={{ {ref.get('year')} }},\n" + f" year={{ {year} }},\n" f" doi={{ {ref.get('doi')} }},\n" f" url={{ {ref.get('url')} }}\n" f"}}" From 298bbc8398f73a93b4cdb23e5f36c6919b111d99 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Philipp=20Jura=C5=A1i=C4=87?= <58512364+missing-user@users.noreply.github.com> Date: Sat, 16 Nov 2024 16:56:38 +0100 Subject: [PATCH 24/34] make bibtex naming convention consistent --- src/casing.f90 | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/casing.f90 b/src/casing.f90 index 99e00888..8bfd29b0 100644 --- a/src/casing.f90 +++ b/src/casing.f90 @@ -18,7 +18,7 @@ !> where \f$\theta\f$ and \f$\zeta\f$ are arbitrary poloidal and toroidal angles, !> and \f${\bf e}_\theta \equiv \partial {\bf x}/\partial \theta\f$, \f${\bf e}_\zeta \equiv \partial {\bf x}/\partial \zeta\f$. !> This routine assumes that the plasma boundary is a flux surface, i.e. \f${\bf B} \cdot {\bf e}_\theta \times {\bf e}_\zeta = 0\f$. -!>

  • The virtual casing principle (Shafranov & Zakharov (1972) \cite y1972_shafranov_zakharov, Lazerson (2012) \cite y2012_lazerson and Hanson (2015) \cite y2015_hanson) +!>
  • The virtual casing principle (Shafranov & Zakharov (1972) \cite y1972_shafranov, Lazerson (2012) \cite y2012_lazerson and Hanson (2015) \cite y2015_hanson) !> shows that the field outside/inside the plasma arising from plasma currents inside/outside the boundary !> is equivalent to the field generated by a surface current, !> \f{eqnarray}{ {\bf j} = {\bf B}_s \times {\bf n}, From abb9357a23379fb41851ea35ea85be255d5d7fbf Mon Sep 17 00:00:00 2001 From: Philipp Jurasic Date: Sun, 17 Nov 2024 09:55:55 +0100 Subject: [PATCH 25/34] readme citelist --- README.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index 5fd42160..58cf4bed 100644 --- a/README.md +++ b/README.md @@ -3,9 +3,9 @@ If you use SPEC in your research, please cite it appropriately using the "Cite this repository" button on the right of the [SPEC GitHub Repository](https://github.com/PrincetonUniversity/SPEC) or the [CITATION.cff](https://github.com/PrincetonUniversity/SPEC/blob/master/CITATION.cff) file. -- There is a [brief description of SPEC](http://theory.pppl.gov/research/research.php?rid=10#h5) on the Princeton Plasma Physics Laboratory [Theory Department website](http://theory.pppl.gov/). +- There is a [brief description of SPEC](https://theory.pppl.gov/research/research.php?rid=10#h5) on the Princeton Plasma Physics Laboratory [Theory Department website](https://theory.pppl.gov/). - An overview of the algorithm is given in a [Flow Chart](https://princetonuniversity.github.io/SPEC/docs/SPEC_flowchart.pdf). -- A list of publications using SPEC +- A list of publications using SPEC are in our [bibliography section](https://princetonuniversity.github.io/SPEC/citelist) - Please direct questions/suggestions to [Stuart Hudson](mailto:shudson@pppl.gov?subject=spec). ## Installation From bdb5d90ab55df5804cf594fd9a13e7398776ac53 Mon Sep 17 00:00:00 2001 From: Philipp Jurasic Date: Sun, 17 Nov 2024 09:59:48 +0100 Subject: [PATCH 26/34] added doi, removed duplicate reference --- CITATION.cff | 18 ++---------------- 1 file changed, 2 insertions(+), 16 deletions(-) diff --git a/CITATION.cff b/CITATION.cff index 5a6e19d6..f0d6b33b 100644 --- a/CITATION.cff +++ b/CITATION.cff @@ -338,22 +338,6 @@ references: year: 2019 doi: "10.1063/1.5091765" url: "https://doi.org/10.1063/1.5091765" - - type: article - authors: - - family-names: Baillod - given-names: Alexandre - - family-names: Loizu - given-names: Joaquim - - family-names: Qu - given-names: Zhisong - orcid: https://orcid.org/0000-0003-4628-6983 - - family-names: Arbez - given-names: Henri-Paul - - family-names: Graves - given-names: John P. - title: "Equilibrium β-limits dependence on bootstrap current in classical stellarators" - journal: "Cambridge University Press" - year: 2023 - type: article authors: - family-names: Loizu @@ -363,6 +347,8 @@ references: title: "Nonlinear saturation of resistive tearing modes in a cylindrical tokamak with and without solving the dynamics" journal: "Cambridge University Press" year: 2023 + doi: 10.1017/S0022377823000934 + url: https://doi.org/10.1017/S0022377823000934 - type: article authors: - family-names: Loizu From 29dbac6fdd7d570085190856385dbaca98641ff3 Mon Sep 17 00:00:00 2001 From: Philipp Jurasic Date: Fri, 29 Nov 2024 20:47:52 +0100 Subject: [PATCH 27/34] grid based virtual casing implemented --- src/bnorml.f90 | 74 +++--- src/casing.f90 | 568 +++++++++++++++++++++++++--------------------- src/global.f90 | 14 +- src/inputlist.f90 | 8 +- src/preset.f90 | 15 +- 5 files changed, 380 insertions(+), 299 deletions(-) diff --git a/src/bnorml.f90 b/src/bnorml.f90 index 4a47e8fb..06f4a67d 100644 --- a/src/bnorml.f90 +++ b/src/bnorml.f90 @@ -89,6 +89,8 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) use cputiming, only : Tbnorml + use inputlist, only : vcNz, vcNt + use allglobal, only : ncpu, myid, cpus, MPI_COMM_SPEC, pi2nfp, Mvol, & Nt, Nz, & Rij, Zij, guvij, sg, TT, & @@ -96,7 +98,8 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) im, in, Ate, Aze, Ato, Azo, & Nt, Nz, cfmn, sfmn, & ijreal, ijimag, jireal, jiimag, & - globaljk, tetazeta, virtualcasingfactor, gteta, gzeta, Dxyz, Nxyz + globaljk, virtualcasingfactor, gteta, gzeta, Dxyz, Nxyz, & + Jxyz, Pbxyz, vcNtz !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! @@ -106,9 +109,8 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) REAL , intent(out) :: efmn(1:mn), ofmn(1:mn) INTEGER :: lvol, Lcurvature, Lparallel, ii, jj, kk, jk, ll, kkmodnp, jkmodnp, ifail, id01daf, nvccalls, icasing, ideriv - REAL :: lss, zeta, teta, cszeta(0:1), tetalow, tetaupp, absacc, gBn - REAL :: Jxyz(1:Ntz,1:3), Bxyz(1:Ntz,1:3), dAt(1:Ntz), dAz(1:Ntz), distance(1:Ntz) - + REAL :: lss, zeta, teta, tetalow, tetaupp, absacc, gBn, gBn2 + REAL :: Bxyz(1:Ntz,1:3), dAt(1:Ntz), dAz(1:Ntz), distance(1:Ntz) !REAL :: vcintegrand, zetalow, zetaupp ! external :: vcintegrand, zetalow, zetaupp @@ -137,13 +139,33 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) #endif !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! +#define COMPARECASING +#ifdef COMPARECASING +! Precompute Jxyz(1:Ntz,1:3) and the corresponding positions on the high resolution plasma boundary + +! OMP PARALLEL DO SHARED(Pbxyz, Jxyz) PRIVATE(jk, teta, zeta) +do kk = 0, vcNz-1 ; + zeta = kk * pi2nfp / vcNz + do jj = 0, vcNt-1 ; + teta = jj * pi2 / vcNt ; + jk = 1 + jj + kk*vcNt + + call dvcfieldimpl( teta, zeta, Pbxyz(jk,1:3), Jxyz(jk,1:3) ) + + enddo +enddo + +! OMP PARALLEL DO SHARED(Dxyz, Pbxyz, Jxyz, ijimag) PRIVATE(jk) +do jk = 1, vcNtz + WCALL( bnorml, casing2, ( Dxyz(:,jk), Nxyz(:,jk), Pbxyz, Jxyz, ijimag(jk) ) ) +enddo +#endif - do kk = 0, Nz-1 ; zeta = kk * pi2nfp / Nz - - if( Igeometry.eq.3 ) then ; cszeta(0:1) = (/ cos(zeta), sin(zeta) /) - endif + do kk = 0, Nz-1 ; + zeta = kk * pi2 / Nz - do jj = 0, Nt-1 ; teta = jj * pi2 / Nt ; jk = 1 + jj + kk*Nt + do jj = 0, Nt-1 ; + teta = jj * pi2 / Nt ; jk = 1 + jj + kk*Nt globaljk = jk ! this is global; passed through to vcintegrand & casing; @@ -156,35 +178,25 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) FATAL( bnorml, .true., invalid Lparallel in parallelization loop ) end select ! end of select case( Lparallel ) ; 09 Mar 17; - tetazeta(1:2) = (/ teta, zeta /) ! this is global; passed through to zetalow & zetaupp; 14 Apr 17; - -!#ifdef COMPARECASING -! -! tetalow = tetazeta(1) - vcasingper * pi ; tetaupp = tetazeta(1) + vcasingper * pi ; absacc = vcasingtol -! -! id01daf = 1 ; call D01DAF( tetalow, tetaupp, zetalow, zetaupp, vcintegrand, absacc, gBn, nvccalls, id01daf ) ! 04 May 17; -! -! ijimag(jk) = gBn -! -!#endif - - WCALL( bnorml, casing, ( teta, zeta, gBn, icasing ) ) ! tetazeta is global; 26 Apr 17; - + WCALL( bnorml, casing, ( teta, zeta, gBn, icasing ) ) ijreal(jk) = gBn -!#ifdef COMPARECASING -! write(ounit,1000) myid, zeta, teta, ijreal(jk), ijimag(jk), ijreal(jk)-ijimag(jk) -!#endif -! -!#ifdef CASING -! write(ounit,1000) myid, zeta, teta, ijreal(jk), ijimag(jk), ijreal(jk)-ijimag(jk) -!#endif +#ifdef COMPARECASING + WCALL( bnorml, casing2, ( Dxyz(1:3,jk), Nxyz(1:3,jk), Pbxyz, Jxyz, gBn2 ) ) + ijimag(jk) = gBn2 -1000 format("bnorml : ", 10x ," : myid=",i3," : \z =",f6.3," ; \t =",f6.3," ; B . x_t x x_z =",2f22.15," ; ":"err =",es13.5," ;") + write(ounit,1000) myid, zeta, teta, ijreal(jk), ijimag(jk), ijreal(jk)-ijimag(jk) + 1000 format("bnorml : ", 10x ," : myid=",i3," : \z =",f6.3," ; \t =",f6.3," ; B . x_t x x_z =",2f22.15," ; ":"err =",es13.5," ;") +#endif enddo ! end of do jj; enddo ! end of do kk; +print *, Nt, Nz +print *, ijimag(:) +print *, " " +print *, ijreal(:) +stop !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! 1001 format("bnorml : ", 10x ," : "a1" : (t,z) = ("f8.4","f8.4" ) ; gBn=",f23.15," ; ":" error =",f23.15" ;") diff --git a/src/casing.f90 b/src/casing.f90 index 8bfd29b0..618e032a 100644 --- a/src/casing.f90 +++ b/src/casing.f90 @@ -106,8 +106,6 @@ subroutine casing( teta, zeta, gBn, icasing ) use constants, only : zero, pi, pi2 - use numerical, only : - use fileunits, only : ounit, vunit use inputlist, only : Wmacros, Wcasing, vcasingtol, vcasingits, vcasingper @@ -120,8 +118,8 @@ subroutine casing( teta, zeta, gBn, icasing ) LOCALS - REAL, intent(in) :: teta, zeta ! arbitrary location; Cartesian; - REAL, intent(out) :: gBn ! magnetic field; Cartesian; + REAL, intent(in) :: teta, zeta ! theta and zeta evaluation point on the computational boundary, corresponding to the cartesian evaluation point Dxyz(1:3,globaljk) + REAL, intent(out) :: gBn ! B.n magnetic field INTEGER, intent(out) :: icasing INTEGER, parameter :: Ndim = 2, Nfun = 1 @@ -135,9 +133,6 @@ subroutine casing( teta, zeta, gBn, icasing ) BEGIN(casing) -!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! - - jk = globaljk ! shorthand; globaljk is a "global" variable which must be passed through to subroutine dvcfield; !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! @@ -249,265 +244,345 @@ subroutine casing( teta, zeta, gBn, icasing ) end subroutine casing + + +subroutine casing2( xyz, nxyz, Pbxyz, Jxyz, gBn) + use constants, only : zero, one, three, pi2 + + use fileunits, only : ounit, vunit + + use inputlist, only : vcasingeps, vcNz, vcNt + + use allglobal, only : myid, ncpu, cpus, MPI_COMM_SPEC, & + vcNtz !, Pbxyz(1:vcNtz, 1:3), Jxyz(1:vcNtz, 1:3) + + LOCALS + + REAL, intent(in) :: xyz(1:3) ! arbitrary location; Cartesian; + REAL, intent(in) :: nxyz(1:3) ! surface normal on the computational boundary; Cartesian; + REAL, intent(in) :: Pbxyz(1:vcNtz, 1:3), Jxyz(1:vcNtz, 1:3) + REAL, intent(out) :: gBn ! B.n on the computational boundary; + + REAL :: rr(1:3), distance(1:3), jj(1:3), Bxyz(1:3), accumulator, firstorderfactor + INTEGER :: jk + +!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! + accumulator = zero + ! loop over the high resolution plasma boundary (inner boundary for virtual casing) + do jk = 1, vcNtz ; + ! position on computational boundary - position on plasma boundary + rr(1:3) = xyz - Pbxyz(jk, 1:3) + jj(1:3) = Jxyz(jk, 1:3) + + !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! + + distance(2) = sum( rr(1:3) * rr(1:3) ) + vcasingeps**2 ! 04 May 17; + distance(1) = sqrt( distance(2) ) ; + distance(3) = distance(1) * distance(2) ! powers of distance; 24 Nov 16; + + firstorderfactor = ( one + three * vcasingeps**2 / distance(2) ) / distance(3) ! 04 May 17; + + !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! + + Bxyz(1:3) = (/ jj(2) * rr(3) - jj(3) * rr(2), & + jj(3) * rr(1) - jj(1) * rr(3), & + jj(1) * rr(2) - jj(2) * rr(1) /) + + ! Accumulate B.r/r^3 contributions + accumulator = accumulator + sum( Bxyz(1:3) * nxyz(1:3) ) * firstorderfactor + enddo + gBn = accumulator * pi2 * pi2 / vcNtz + return + +end subroutine casing2 + + +!> \brief Compute the position and surface current on the plasma boundary for the virtual casing +!> \ingroup grp_free-boundary +!> +!> @param[in] teta \f$\theta\f$ +!> @param[in] zeta \f$\zeta\f$ +!> @param[out] pxyz \f${\bf B}_{Plasma} \cdot {\bf e}_\theta \times {\bf e}_\zeta \;\f$ on the computational boundary +!> @param[out] jj \f${\bf B}_{Plasma} \cdot {\bf e}_\theta \times {\bf e}_\zeta \;\f$ on the computational boundary +subroutine dvcfieldimpl( teta, zeta, pxyz, jj) + + !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! + + use constants, only : zero, half, one + + use inputlist, only : Nvol, Igeometry, Lrad + + use allglobal, only : myid, ncpu, cpus, MPI_COMM_SPEC, & + Mvol, & + mn, im, in, & + iRbc, iZbs, iRbs, iZbc, & + Ate, Aze, Ato, Azo, & + TT, & + YESstellsym, & + first_free_bound + + !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! + + LOCALS + + REAL , intent(in) :: teta, zeta ! theta and zeta coordinates on the plasma boundary + REAL , intent(out) :: jj(1:3), & ! Cartesian surface current components on the plasma boundary + pxyz(1:3) ! Position on the plasma boundary + + INTEGER :: ii, mi, ni, ll, ideriv + REAL :: dR(0:3), dZ(0:3), gBut, gBuz, gtt, gtz, gzz, sqrtg, Blt, Blz, czeta, szeta, arg, carg, sarg + + REAL :: XXt, XXz, YYt, YYz, ZZt, ZZz, ds + + !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! + + dR(0:3) = zero ; ideriv = 0 ; gBut = zero ; gBuz = zero ! initialize summation of coordinates and tangential field; + dZ(0:3) = zero + + !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! + + select case( Igeometry ) + + case( 1 ) ! Igeometry = 1 ; 09 Mar 17; + + if( YESstellsym ) then + + do ii = 1, mn ; mi = im(ii) ; ni = in(ii) ! loop over Fourier modes; construct surface current; slow transform required as position is arbitrary; + + arg = mi * teta - ni * zeta ; carg = cos(arg) ; sarg = sin(arg) + + dR(0) = dR(0) + ( iRbc(ii,Nvol) ) * carg + dR(1) = dR(1) + ( ( iRbc(ii,Mvol) - iRbc(ii,Nvol) ) * carg ) * half + dR(2) = dR(2) + mi * ( - ( iRbc(ii,Nvol) ) * sarg ) + dR(3) = dR(3) - ni * ( - ( iRbc(ii,Nvol) ) * sarg ) + + !dZ(0) = dZ(0) + ( iZbs(ii,Nvol) ) * sarg + !dZ(1) = dZ(1) + ( ( iZbs(ii,Mvol) - iZbs(ii,Nvol) ) * sarg ) * half + !dZ(2) = dZ(2) + mi * ( ( iZbs(ii,Nvol) ) * carg ) + !dZ(3) = dZ(3) - ni * ( ( iZbs(ii,Nvol) ) * carg ) + + do ll = 0, Lrad(Mvol) + gBut = gBut - ( Aze(Mvol,ideriv,ii)%s(ll) * carg ) * TT(ll,0,1) ! contravariant; Jacobian comes later; + gBuz = gBuz + ( Ate(Mvol,ideriv,ii)%s(ll) * carg ) * TT(ll,0,1) + enddo + + enddo ! end of do ii = 1, mn ; + + else ! NOTstellsym ; 08 Feb 16; + + do ii = 1, mn ; mi = im(ii) ; ni = in(ii) ! loop over Fourier modes; construct surface current; slow transform required as position is arbitrary; + + arg = mi * teta - ni * zeta ; carg = cos(arg) ; sarg = sin(arg) + + dR(0) = dR(0) + iRbc(ii,Nvol) * carg + iRbs(ii,Nvol) * sarg + dR(1) = dR(1) + ( ( iRbc(ii,Mvol) - iRbc(ii,Nvol) ) * carg + ( iRbs(ii,Mvol) - iRbs(ii,Nvol) ) * sarg ) * half + dR(2) = dR(2) + mi * ( - iRbc(ii,Nvol) * sarg + iRbs(ii,Nvol) * carg ) + dR(3) = dR(3) - ni * ( - iRbc(ii,Nvol) * sarg + iRbs(ii,Nvol) * carg ) + + !dZ(0) = dZ(0) + iZbc(ii,Nvol) * carg + iZbs(ii,Nvol) * sarg + !dZ(1) = dZ(1) + ( ( iZbc(ii,Mvol) - iZbc(ii,Nvol) ) * carg + ( iZbs(ii,Mvol) - iZbs(ii,Nvol) ) * sarg ) * half + !dZ(2) = dZ(2) + mi * ( - iZbc(ii,Nvol) * sarg + iZbs(ii,Nvol) * carg ) + !dZ(3) = dZ(3) - ni * ( - iZbc(ii,Nvol) * sarg + iZbs(ii,Nvol) * carg ) + + do ll = 0, Lrad(Mvol) + gBut = gBut - ( Aze(Mvol,ideriv,ii)%s(ll) * carg + Azo(Mvol,ideriv,ii)%s(ll) * sarg ) * TT(ll,0,1) ! contravariant; Jacobian comes later; + gBuz = gBuz + ( Ate(Mvol,ideriv,ii)%s(ll) * carg + Ato(Mvol,ideriv,ii)%s(ll) * sarg ) * TT(ll,0,1) + enddo + + enddo ! end of do ii = 1, mn ; + + endif ! end of if( YESstellsym ) ; 08 Feb 16; + + case( 2 ) ! Igeometry = 2 ; 09 Mar 17; + + FATAL( casing, .true., virtual casing under construction for cylindrical geometry ) + + case( 3 ) ! Igeometry = 3 ; 09 Mar 17; + + if( YESstellsym ) then + + do ii = 1, mn ; mi = im(ii) ; ni = in(ii) ! loop over Fourier modes; construct surface current; slow transform required as position is arbitrary; + + arg = mi * teta - ni * zeta ; carg = cos(arg) ; sarg = sin(arg) + dR(0) = dR(0) + ( iRbc(ii,Nvol) ) * carg + dR(1) = dR(1) + ( ( iRbc(ii,Mvol) - iRbc(ii,Nvol) ) * carg ) * half + dR(2) = dR(2) + mi * ( - ( iRbc(ii,Nvol) ) * sarg ) + dR(3) = dR(3) - ni * ( - ( iRbc(ii,Nvol) ) * sarg ) + + dZ(0) = dZ(0) + ( iZbs(ii,Nvol) ) * sarg + dZ(1) = dZ(1) + ( ( iZbs(ii,Mvol) - iZbs(ii,Nvol) ) * sarg ) * half + dZ(2) = dZ(2) + mi * ( ( iZbs(ii,Nvol) ) * carg ) + dZ(3) = dZ(3) - ni * ( ( iZbs(ii,Nvol) ) * carg ) + + if (first_free_bound) then + do ll = 0, Lrad(Nvol) ! 1 is for outside thr volume + gBut = gBut - ( Aze(Nvol,ideriv,ii)%s(ll) * carg ) * TT(ll,1,1) ! contravariant; Jacobian comes later; + gBuz = gBuz + ( Ate(Nvol,ideriv,ii)%s(ll) * carg ) * TT(ll,1,1) + enddo + else + do ll = 0, Lrad(Mvol) + gBut = gBut - ( Aze(Mvol,ideriv,ii)%s(ll) * carg ) * TT(ll,0,1) ! contravariant; Jacobian comes later; + gBuz = gBuz + ( Ate(Mvol,ideriv,ii)%s(ll) * carg ) * TT(ll,0,1) + enddo + endif + + enddo ! end of do ii = 1, mn ; + + else ! NOTstellsym ; 08 Feb 16; + + do ii = 1, mn ; mi = im(ii) ; ni = in(ii) ! loop over Fourier modes; construct surface current; slow transform required as position is arbitrary; + + arg = mi * teta - ni * zeta ; carg = cos(arg) ; sarg = sin(arg) + + dR(0) = dR(0) + iRbc(ii,Nvol) * carg + iRbs(ii,Nvol) * sarg + dR(1) = dR(1) + ( ( iRbc(ii,Mvol) - iRbc(ii,Nvol) ) * carg + ( iRbs(ii,Mvol) - iRbs(ii,Nvol) ) * sarg ) * half + dR(2) = dR(2) + mi * ( - iRbc(ii,Nvol) * sarg + iRbs(ii,Nvol) * carg ) + dR(3) = dR(3) - ni * ( - iRbc(ii,Nvol) * sarg + iRbs(ii,Nvol) * carg ) + + dZ(0) = dZ(0) + iZbc(ii,Nvol) * carg + iZbs(ii,Nvol) * sarg + dZ(1) = dZ(1) + ( ( iZbc(ii,Mvol) - iZbc(ii,Nvol) ) * carg + ( iZbs(ii,Mvol) - iZbs(ii,Nvol) ) * sarg ) * half + dZ(2) = dZ(2) + mi * ( - iZbc(ii,Nvol) * sarg + iZbs(ii,Nvol) * carg ) + dZ(3) = dZ(3) - ni * ( - iZbc(ii,Nvol) * sarg + iZbs(ii,Nvol) * carg ) + + if (first_free_bound) then + do ll = 0, Lrad(Mvol) ! omit the possible current sheet due to a jump in tangential field at the plasma boundary; Zhu 20190603; + gBut = gBut - ( Aze(Mvol,ideriv,ii)%s(ll) * carg + Azo(Mvol,ideriv,ii)%s(ll) * sarg ) * TT(ll,1,1) ! contravariant; Jacobian comes later; + gBuz = gBuz + ( Ate(Mvol,ideriv,ii)%s(ll) * carg + Ato(Mvol,ideriv,ii)%s(ll) * sarg ) * TT(ll,1,1) + enddo + else + do ll = 0, Lrad(Mvol) + gBut = gBut - ( Aze(Mvol,ideriv,ii)%s(ll) * carg + Azo(Mvol,ideriv,ii)%s(ll) * sarg ) * TT(ll,0,1) ! contravariant; Jacobian comes later; + gBuz = gBuz + ( Ate(Mvol,ideriv,ii)%s(ll) * carg + Ato(Mvol,ideriv,ii)%s(ll) * sarg ) * TT(ll,0,1) + enddo + endif + + enddo ! end of do ii = 1, mn ; + + endif ! end of if( YESstellsym ) ; 08 Feb 16; + + end select ! end of select case( Igeometry ) ; 09 Mar 17; + + !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! + + select case( Igeometry ) + + case( 1 ) ! Igeometry = 1 ; 09 Mar 17; + + gtt = one + dR(2)*dR(2) + gtz = dR(2)*dR(3) + gzz = one + dR(3)*dR(3) + + sqrtg = dR(1) + + case( 2 ) ! Igeometry = 2 ; 09 Mar 17; + + FATAL( casing, .true., virtual casing under construction for cylindrical geometry ) + + case( 3 ) ! Igeometry = 3 ; 09 Mar 17; + + gtt = dR(2)*dR(2) + dZ(2)*dZ(2) + gtz = dR(2)*dR(3) + dZ(2)*dZ(3) + gzz = dR(3)*dR(3) + dZ(3)*dZ(3) + dR(0)*dR(0) + + sqrtg = dR(0) * ( dZ(1) * dR(2) - dR(1) * dZ(2) ) + + end select + + !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! + + Blt = ( gBut * gtt + gBuz * gtz ) / sqrtg + Blz = ( gBut * gtz + gBuz * gzz ) / sqrtg + + !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! + + select case( Igeometry ) + + case( 1 ) ! Igeometry = 1 ; 09 Mar 17; + + pxyz(1:3) = (/ teta , zeta, dR(0) /) + XXt = one ; XXz = zero + YYt = zero ; YYz = one + ZZt = dR(2) ; ZZz = dR(3) + + case( 2 ) ! Igeometry = 2 ; 09 Mar 17; + + FATAL( casing, .true., virtual casing under construction for cylindrical geometry ) + + case( 3 ) ! Igeometry = 3 ; toroidal geometry; + + czeta = cos( zeta ) ; szeta = sin( zeta ) + + pxyz(1:3) = (/ dR(0) * czeta, dR(0) * szeta , dZ(0) /) + XXt = dR(2) * czeta ; XXz = dR(3) * czeta - dR(0) * szeta ! 10 Apr 13; + YYt = dR(2) * szeta ; YYz = dR(3) * szeta + dR(0) * czeta + ZZt = dZ(2) ; ZZz = dZ(3) + + end select + + !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! + + jj(1:3) = (/ Blz * XXt - Blt * XXz, & + Blz * YYt - Blt * YYz, & + Blz * ZZt - Blt * ZZz /) + + return + + !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! + + end subroutine dvcfieldimpl + !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! !> @brief Differential virtual casing integrand !> \ingroup grp_free-boundary !> -!> Differential virtual casing integrand +!> Differential virtual casing integrand with the calling convention required by NAG for the adaptive integration routine. +!> This function wraps dvcfieldimpl and uses a global variable globaljk to determine the position on the computational boundary (not thread safe!). !> !> @param[in] Ndim number of parameters (==2) !> @param[in] tz \f$\theta\f$ and \f$\zeta\f$ !> @param[in] Nfun number of function values (==3) !> @param[out] vcintegrand cartesian components of magnetic field -subroutine dvcfield( Ndim, tz, Nfun, vcintegrand ) ! differential virtual-casing field; format is fixed by NAG requirements; - -!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! +subroutine dvcfield( Ndim, tz, Nfun, vcintegrand ) - use constants, only : zero, half, one, three, four + use constants, only : zero, half, one, three - use numerical, only : small - - use fileunits, only : ounit, vunit - - use inputlist, only : Wcasing, Nvol, Igeometry, Lrad, vcasingeps - - use cputiming, only : + use inputlist, only : vcasingeps use allglobal, only : myid, ncpu, cpus, MPI_COMM_SPEC, & - pi2nfp, & - Mvol, & - mn, im, in, & - iRbc, iZbs, iRbs, iZbc, & - Ate, Aze, Ato, Azo, & - TT, & - YESstellsym, NOTstellsym, & - globaljk, Dxyz, Nxyz, & - first_free_bound - -!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! + globaljk, Dxyz, Nxyz, first_free_bound + + !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! + LOCALS - + INTEGER , intent(in) :: Ndim, Nfun REAL , intent(in) :: tz(1:Ndim) REAL , intent(out) :: vcintegrand(1:Nfun) ! integrand; components of magnetic field due to plasma currents in Cartesian coordinates; - - INTEGER :: ii, mi, ni, ll, ideriv, jk - REAL :: dR(0:3), dZ(0:3), gBut, gBuz, gtt, gtz, gzz, sqrtg, Blt, Blz, czeta, szeta, arg, carg, sarg, XX, YY, ZZ, teta, zeta - REAL :: jj(1:3), rr(1:3), distance(1:3), firstorderfactor - - REAL :: XXt, XXz, YYt, YYz, ZZt, ZZz, ds, Bxyz(1:3) - -!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! + + REAL :: jj(1:3), & ! Cartesian surface current components on the plasma boundary + pxyz(1:3), & ! Position on the plasma boundary + rr(1:3), & ! distance vector between evaluation point on the computational boundary and the current surface point + distance(1:3), & ! powers of distance |(x-x')|, |(x-x')|^2, |(x-x')|^3 including a small eps to avoid division by zero + Bxyz(1:3), firstorderfactor #ifdef DEBUG FATAL( casing, Ndim.ne. 2, incorrect ) FATAL( casing, Nfun.ne. 1, incorrect ) #endif - !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! - dR(0:3) = zero ; ideriv = 0 ; gBut = zero ; gBuz = zero ! initialize summation of coordinates and tangential field; - dZ(0:3) = zero - - teta = tz(1) ; zeta = tz(2) ! shorthand; 09 Mar 17; + call dvcfieldimpl(tz(1), tz(2), pxyz, jj) - jk = globaljk - -!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! - - select case( Igeometry ) - - case( 1 ) ! Igeometry = 1 ; 09 Mar 17; - - if( YESstellsym ) then - - do ii = 1, mn ; mi = im(ii) ; ni = in(ii) ! loop over Fourier modes; construct surface current; slow transform required as position is arbitrary; - - arg = mi * teta - ni * zeta ; carg = cos(arg) ; sarg = sin(arg) - - dR(0) = dR(0) + ( iRbc(ii,Nvol) ) * carg - dR(1) = dR(1) + ( ( iRbc(ii,Mvol) - iRbc(ii,Nvol) ) * carg ) * half - dR(2) = dR(2) + mi * ( - ( iRbc(ii,Nvol) ) * sarg ) - dR(3) = dR(3) - ni * ( - ( iRbc(ii,Nvol) ) * sarg ) - - !dZ(0) = dZ(0) + ( iZbs(ii,Nvol) ) * sarg - !dZ(1) = dZ(1) + ( ( iZbs(ii,Mvol) - iZbs(ii,Nvol) ) * sarg ) * half - !dZ(2) = dZ(2) + mi * ( ( iZbs(ii,Nvol) ) * carg ) - !dZ(3) = dZ(3) - ni * ( ( iZbs(ii,Nvol) ) * carg ) - - do ll = 0, Lrad(Mvol) - gBut = gBut - ( Aze(Mvol,ideriv,ii)%s(ll) * carg ) * TT(ll,0,1) ! contravariant; Jacobian comes later; - gBuz = gBuz + ( Ate(Mvol,ideriv,ii)%s(ll) * carg ) * TT(ll,0,1) - enddo - - enddo ! end of do ii = 1, mn ; - - else ! NOTstellsym ; 08 Feb 16; - - do ii = 1, mn ; mi = im(ii) ; ni = in(ii) ! loop over Fourier modes; construct surface current; slow transform required as position is arbitrary; - - arg = mi * teta - ni * zeta ; carg = cos(arg) ; sarg = sin(arg) - - dR(0) = dR(0) + iRbc(ii,Nvol) * carg + iRbs(ii,Nvol) * sarg - dR(1) = dR(1) + ( ( iRbc(ii,Mvol) - iRbc(ii,Nvol) ) * carg + ( iRbs(ii,Mvol) - iRbs(ii,Nvol) ) * sarg ) * half - dR(2) = dR(2) + mi * ( - iRbc(ii,Nvol) * sarg + iRbs(ii,Nvol) * carg ) - dR(3) = dR(3) - ni * ( - iRbc(ii,Nvol) * sarg + iRbs(ii,Nvol) * carg ) - - !dZ(0) = dZ(0) + iZbc(ii,Nvol) * carg + iZbs(ii,Nvol) * sarg - !dZ(1) = dZ(1) + ( ( iZbc(ii,Mvol) - iZbc(ii,Nvol) ) * carg + ( iZbs(ii,Mvol) - iZbs(ii,Nvol) ) * sarg ) * half - !dZ(2) = dZ(2) + mi * ( - iZbc(ii,Nvol) * sarg + iZbs(ii,Nvol) * carg ) - !dZ(3) = dZ(3) - ni * ( - iZbc(ii,Nvol) * sarg + iZbs(ii,Nvol) * carg ) - - do ll = 0, Lrad(Mvol) - gBut = gBut - ( Aze(Mvol,ideriv,ii)%s(ll) * carg + Azo(Mvol,ideriv,ii)%s(ll) * sarg ) * TT(ll,0,1) ! contravariant; Jacobian comes later; - gBuz = gBuz + ( Ate(Mvol,ideriv,ii)%s(ll) * carg + Ato(Mvol,ideriv,ii)%s(ll) * sarg ) * TT(ll,0,1) - enddo - - enddo ! end of do ii = 1, mn ; - - endif ! end of if( YESstellsym ) ; 08 Feb 16; - - case( 2 ) ! Igeometry = 2 ; 09 Mar 17; - - FATAL( casing, .true., virtual casing under construction for cylindrical geometry ) - - case( 3 ) ! Igeometry = 3 ; 09 Mar 17; - - if( YESstellsym ) then - - do ii = 1, mn ; mi = im(ii) ; ni = in(ii) ! loop over Fourier modes; construct surface current; slow transform required as position is arbitrary; - - arg = mi * teta - ni * zeta ; carg = cos(arg) ; sarg = sin(arg) - dR(0) = dR(0) + ( iRbc(ii,Nvol) ) * carg - dR(1) = dR(1) + ( ( iRbc(ii,Mvol) - iRbc(ii,Nvol) ) * carg ) * half - dR(2) = dR(2) + mi * ( - ( iRbc(ii,Nvol) ) * sarg ) - dR(3) = dR(3) - ni * ( - ( iRbc(ii,Nvol) ) * sarg ) - - dZ(0) = dZ(0) + ( iZbs(ii,Nvol) ) * sarg - dZ(1) = dZ(1) + ( ( iZbs(ii,Mvol) - iZbs(ii,Nvol) ) * sarg ) * half - dZ(2) = dZ(2) + mi * ( ( iZbs(ii,Nvol) ) * carg ) - dZ(3) = dZ(3) - ni * ( ( iZbs(ii,Nvol) ) * carg ) - - if (first_free_bound) then - do ll = 0, Lrad(Nvol) ! 1 is for outside thr volume - gBut = gBut - ( Aze(Nvol,ideriv,ii)%s(ll) * carg ) * TT(ll,1,1) ! contravariant; Jacobian comes later; - gBuz = gBuz + ( Ate(Nvol,ideriv,ii)%s(ll) * carg ) * TT(ll,1,1) - enddo - else - do ll = 0, Lrad(Mvol) - gBut = gBut - ( Aze(Mvol,ideriv,ii)%s(ll) * carg ) * TT(ll,0,1) ! contravariant; Jacobian comes later; - gBuz = gBuz + ( Ate(Mvol,ideriv,ii)%s(ll) * carg ) * TT(ll,0,1) - enddo - endif - - enddo ! end of do ii = 1, mn ; - - else ! NOTstellsym ; 08 Feb 16; - - do ii = 1, mn ; mi = im(ii) ; ni = in(ii) ! loop over Fourier modes; construct surface current; slow transform required as position is arbitrary; - - arg = mi * teta - ni * zeta ; carg = cos(arg) ; sarg = sin(arg) - - dR(0) = dR(0) + iRbc(ii,Nvol) * carg + iRbs(ii,Nvol) * sarg - dR(1) = dR(1) + ( ( iRbc(ii,Mvol) - iRbc(ii,Nvol) ) * carg + ( iRbs(ii,Mvol) - iRbs(ii,Nvol) ) * sarg ) * half - dR(2) = dR(2) + mi * ( - iRbc(ii,Nvol) * sarg + iRbs(ii,Nvol) * carg ) - dR(3) = dR(3) - ni * ( - iRbc(ii,Nvol) * sarg + iRbs(ii,Nvol) * carg ) - - dZ(0) = dZ(0) + iZbc(ii,Nvol) * carg + iZbs(ii,Nvol) * sarg - dZ(1) = dZ(1) + ( ( iZbc(ii,Mvol) - iZbc(ii,Nvol) ) * carg + ( iZbs(ii,Mvol) - iZbs(ii,Nvol) ) * sarg ) * half - dZ(2) = dZ(2) + mi * ( - iZbc(ii,Nvol) * sarg + iZbs(ii,Nvol) * carg ) - dZ(3) = dZ(3) - ni * ( - iZbc(ii,Nvol) * sarg + iZbs(ii,Nvol) * carg ) - - if (first_free_bound) then - do ll = 0, Lrad(Mvol) ! omit the possible current sheet due to a jump in tangential field at the plasma boundary; Zhu 20190603; - gBut = gBut - ( Aze(Mvol,ideriv,ii)%s(ll) * carg + Azo(Mvol,ideriv,ii)%s(ll) * sarg ) * TT(ll,1,1) ! contravariant; Jacobian comes later; - gBuz = gBuz + ( Ate(Mvol,ideriv,ii)%s(ll) * carg + Ato(Mvol,ideriv,ii)%s(ll) * sarg ) * TT(ll,1,1) - enddo - else - do ll = 0, Lrad(Mvol) - gBut = gBut - ( Aze(Mvol,ideriv,ii)%s(ll) * carg + Azo(Mvol,ideriv,ii)%s(ll) * sarg ) * TT(ll,0,1) ! contravariant; Jacobian comes later; - gBuz = gBuz + ( Ate(Mvol,ideriv,ii)%s(ll) * carg + Ato(Mvol,ideriv,ii)%s(ll) * sarg ) * TT(ll,0,1) - enddo - endif - - enddo ! end of do ii = 1, mn ; - - endif ! end of if( YESstellsym ) ; 08 Feb 16; - - end select ! end of select case( Igeometry ) ; 09 Mar 17; - -!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! - - select case( Igeometry ) - - case( 1 ) ! Igeometry = 1 ; 09 Mar 17; - - gtt = one + dR(2)*dR(2) - gtz = dR(2)*dR(3) - gzz = one + dR(3)*dR(3) - - sqrtg = dR(1) - - case( 2 ) ! Igeometry = 2 ; 09 Mar 17; - - FATAL( casing, .true., virtual casing under construction for cylindrical geometry ) - - case( 3 ) ! Igeometry = 3 ; 09 Mar 17; - - gtt = dR(2)*dR(2) + dZ(2)*dZ(2) - gtz = dR(2)*dR(3) + dZ(2)*dZ(3) - gzz = dR(3)*dR(3) + dZ(3)*dZ(3) + dR(0)*dR(0) - - sqrtg = dR(0) * ( dZ(1) * dR(2) - dR(1) * dZ(2) ) - - end select - -!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! - - Blt = ( gBut * gtt + gBuz * gtz ) / sqrtg - Blz = ( gBut * gtz + gBuz * gzz ) / sqrtg - -!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! - - select case( Igeometry ) - - case( 1 ) ! Igeometry = 1 ; 09 Mar 17; - - XX = teta ; XXt = one ; XXz = zero - YY = zeta ; YYt = zero ; YYz = one - ZZ = dR(0) ; ZZt = dR(2) ; ZZz = dR(3) - - case( 2 ) ! Igeometry = 2 ; 09 Mar 17; - - FATAL( casing, .true., virtual casing under construction for cylindrical geometry ) - - case( 3 ) ! Igeometry = 3 ; toroidal geometry; - - czeta = cos( zeta ) ; szeta = sin( zeta ) - - XX = dR(0) * czeta ; XXt = dR(2) * czeta ; XXz = dR(3) * czeta - dR(0) * szeta ! 10 Apr 13; - YY = dR(0) * szeta ; YYt = dR(2) * szeta ; YYz = dR(3) * szeta + dR(0) * czeta - ZZ = dZ(0) ; ZZt = dZ(2) ; ZZz = dZ(3) - - end select - -!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! - - rr(1:3) = (/ Dxyz(1,jk) - XX, & - Dxyz(2,jk) - YY, & - Dxyz(3,jk) - ZZ /) - - jj(1:3) = (/ Blz * XXt - Blt * XXz, & - Blz * YYt - Blt * YYz, & - Blz * ZZt - Blt * ZZz /) + ! position on computational boundary - position on plasma boundary + rr(1:3) = Dxyz(1:3,globaljk) - pxyz(1:3) !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! distance(2) = sum( rr(1:3) * rr(1:3) ) + vcasingeps**2 ! 04 May 17; - - distance(1) = sqrt( distance(2) ) ; distance(3) = distance(1) * distance(2) ! powers of distance; 24 Nov 16; + distance(1) = sqrt( distance(2) ) ; + distance(3) = distance(1) * distance(2) ! powers of distance; 24 Nov 16; firstorderfactor = ( one + three * vcasingeps**2 / distance(2) ) / distance(3) ! 04 May 17; @@ -517,28 +592,7 @@ subroutine dvcfield( Ndim, tz, Nfun, vcintegrand ) ! differential virtual-casing jj(3) * rr(1) - jj(1) * rr(3), & jj(1) * rr(2) - jj(2) * rr(1) /) - vcintegrand(1) = sum( Bxyz(1:3) * Nxyz(1:3,jk) ) * firstorderfactor - -!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! - -! vcintegrand( 4) = - three * vcintegrand(1) * rr(1) / distance(2) ! dBxdx; ! need to divide by distance(3) ; 14 Apr 17; -! vcintegrand( 5) = - three * vcintegrand(1) * rr(2) / distance(2) - jj(3) ! dBxdy; -! vcintegrand( 6) = - three * vcintegrand(1) * rr(3) / distance(2) + jj(2) ! dBxdz; -! -! vcintegrand( 7) = - three * vcintegrand(2) * rr(1) / distance(2) + jj(3) ! dBydx; -! vcintegrand( 8) = - three * vcintegrand(2) * rr(2) / distance(2) ! dBydy; -! vcintegrand( 9) = - three * vcintegrand(2) * rr(3) / distance(2) - jj(1) ! dBydz; -! -! vcintegrand(10) = - three * vcintegrand(3) * rr(1) / distance(2) - jj(2) ! dBzdx; -! vcintegrand(11) = - three * vcintegrand(3) * rr(2) / distance(2) + jj(1) ! dBzdy; -! vcintegrand(12) = - three * vcintegrand(3) * rr(3) / distance(2) ! dBzdz; - -!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! - + vcintegrand(1) = sum( Bxyz(1:3) * Nxyz(1:3,globaljk) ) * firstorderfactor return -!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! - end subroutine dvcfield - -!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! diff --git a/src/global.f90 b/src/global.f90 index d94d7810..8b00d447 100644 --- a/src/global.f90 +++ b/src/global.f90 @@ -833,19 +833,19 @@ module allglobal !> \addtogroup grp_misc Miscellaneous !> The following are miscellaneous flags required for the virtual casing field, external (vacuum) field integration, ... !> @{ - INTEGER :: globaljk !< labels position - REAL, allocatable :: Dxyz(:,:) !< computational boundary; position - REAL, allocatable :: Nxyz(:,:) !< computational boundary; normal - REAL, allocatable :: Jxyz(:,:) !< plasma boundary; surface current - - REAL :: tetazeta(1:2) !< what is this? + INTEGER :: globaljk !< labels position + REAL, allocatable :: Dxyz(:,:) !< computational boundary; position + REAL, allocatable :: Nxyz(:,:) !< computational boundary; normal + REAL, allocatable :: Jxyz(:,:) !< plasma boundary; surface current + REAL, allocatable :: Pbxyz(:,:) !< plasma boundary; position REAL :: virtualcasingfactor = -one / (four*pi) !< this agrees with diagno - + INTEGER :: IBerror !< for computing error in magnetic field INTEGER :: nfreeboundaryiterations !< number of free-boundary iterations already performed + INTEGER :: vcNtz !< number of grid points in \f$\theta\f$ and \f$\zeta\f$ for the plasma surface current computation !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! INTEGER, parameter :: Node = 2 !< best to make this global for consistency between calling and called routines diff --git a/src/inputlist.f90 b/src/inputlist.f90 index 30c0b04b..54296e9f 100644 --- a/src/inputlist.f90 +++ b/src/inputlist.f90 @@ -469,8 +469,10 @@ module inputlist REAL :: vcasingtol = 1.e-08 !< accuracy on virtual casing integral; see bnorml(), casing() INTEGER :: vcasingits = 8 !< minimum number of calls to adaptive virtual casing routine; see casing() INTEGER :: vcasingper = 1 !< periods of integragion in adaptive virtual casing routine; see casing() + INTEGER :: vcNt = 4 !< theta resolution of the real space grid on which the surface current is computed during virtual casing + INTEGER :: vcNz = 4 !< zeta resolution of the real space grid on which the surface current is computed during virtual casing INTEGER :: mcasingcal = 8 !< minimum number of calls to adaptive virtual casing routine; see casing(); redundant; -!> @} + !> @} !> \addtogroup grp_global_diagnostics diagnosticslist @@ -711,6 +713,8 @@ module inputlist vcasingtol ,& vcasingits ,& vcasingper ,& + vcNt ,& + vcNz ,& mcasingcal namelist/diagnosticslist/& @@ -925,6 +929,8 @@ subroutine initialize_inputs vcasingtol = 1.e-08 vcasingits = 8 vcasingper = 1 + vcNt = 128 + vcNz = 128 mcasingcal = 8 ! diagnosticslist diff --git a/src/preset.f90 b/src/preset.f90 index db447429..965a0dd2 100644 --- a/src/preset.f90 +++ b/src/preset.f90 @@ -1722,13 +1722,21 @@ subroutine preset SALLOCATE( dlambdaout, (1:lmns,1:Mvol,0:1), zero ) !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! - if (Lfreebound > 0) then ! Only do for free-boundary; 7 Nov 18; + if ( vcNt.lt.Nt ) then + FATAL( bnorml, .true., The plasma boundary resolution for virtual casing vcNt must be greater than or equal to Nt ) + endif + if ( vcNz.lt.Nz ) then + FATAL( bnorml, .true., The plasma boundary resolution for virtual casing vcNz must be greater than or equal to Nz ) + endif + vcNtz = vcNt*vcNz ! the plasma boundary has to use a higher resolution than the computational boundary + SALLOCATE( Dxyz, (1:3,1:Ntz), zero ) ! Cartesian components of computational boundary; position; 14 Apr 17; SALLOCATE( Nxyz, (1:3,1:Ntz), zero ) ! Cartesian components of computational boundary; normal ; 14 Apr 17; - SALLOCATE( Jxyz, (1:Ntz,1:3), zero ) ! Cartesian components of virtual casing surface current; needs to be recalculated at each iteration; + SALLOCATE( Jxyz, (1:vcNtz,1:3), zero ) ! Cartesian components of virtual casing surface current; needs to be recalculated at each iteration; + SALLOCATE( Pbxyz, (1:vcNtz,1:3), zero ) ! Cartesian points on the plasma boundary; needs to be recalculated at each iteration; lvol = Mvol ; lss = one ; Lcurvature = 1 ; Lcoordinatesingularity = .false. ! will only require normal field on outer interface = computational boundary; @@ -1736,7 +1744,8 @@ subroutine preset do kk = 0, Nz-1 ; zeta = kk * pi2nfp / Nz - if( Igeometry.eq.3 ) then ; cszeta(0:1) = (/ cos(zeta), sin(zeta) /) + if( Igeometry.eq.3 ) then ; + cszeta(0:1) = (/ cos(zeta), sin(zeta) /) endif do jj = 0, Nt-1 ; teta = jj * pi2 / Nt ; jk = 1 + jj + kk*Nt From abd999ccec0db2b7942ac98e3f2a4e830647bed0 Mon Sep 17 00:00:00 2001 From: Philipp Jurasic Date: Fri, 29 Nov 2024 21:15:01 +0100 Subject: [PATCH 28/34] documentation --- src/casing.f90 | 76 +++++++++++++++++++++++++++----------------------- 1 file changed, 41 insertions(+), 35 deletions(-) diff --git a/src/casing.f90 b/src/casing.f90 index 618e032a..3e3160e7 100644 --- a/src/casing.f90 +++ b/src/casing.f90 @@ -65,37 +65,6 @@ !> The minimum number of function evaluations is provided by the \c inputvar \c vcasingits.
    • !> !> -!> **Calculation of integrand** -!> -!>
      -!>
    • An adaptive integration is used to compute the integrals. -!> Consequently, the magnetic field tangential to the plasma boundary is required at an arbitrary point. -!> This is computed, as always, from \f${\bf B} = \nabla \times {\bf A}\f$, and this provides \f${\bf B} = B^\theta {\bf e}_\theta + B^\zeta {\bf e}_\zeta\f$. -!> Recall that \f$B^s=0\f$ by construction on the plasma boundary. -!> \todo It would be MUCH faster to only require the tangential field on a regular grid!!! -!> -!>
      • -!>
    • Then, the metric elements \f$g_{\theta\theta}\f$, \f$g_{\theta\zeta}\f$ and \f$g_{\zeta\zeta}\f$ are computed. -!> These are used to "lower" the components of the magnetic field, \f${\bf B} = B_\theta \nabla \theta + B_\zeta \nabla \zeta\f$. -!> \todo Please check why \f$B_s\f$ is not computed. Is it because \f$B_s \nabla s \times {\bf n} = 0\f$ ? -!> -!>
      • -!>
    • The distance between the "evaluate" point, \f$(X,Y,Z)\f$, and the given point on the surface, \f$(x,y,z)\f$ is computed.
      • -!>
    • If the computational boundary becomes too close to the plasma boundary, the distance is small and this causes problems for the numerics. -!> I have tried to regularize this problem by introducing \f$\epsilon \equiv \f$\c inputvar \c vcasingeps. -!> Let the "distance" be -!> \f{eqnarray}{ D \equiv \sqrt{(X-x)^2 + (Y-y)^2 + (Z-Z)^2} + \epsilon^2. -!> \f}
      • -!>
    • On taking the limit that \f$\epsilon \rightarrow 0\f$, the virtual casing integrand is -!> \f{eqnarray}{ \verb+vcintegrand+ \equiv ( B_x n_x + B_y n_y + B_z n_z ) ( 1 + 3 \epsilon^2 / D^2 ) / D^3, \label{eq:integrand_casing} -!> \f} -!> where the normal vector is \f${\bf n} \equiv n_x {\bf i} + n_y {\bf j} + n_z {\bf k}\f$. -!> The normal vector, \c Nxyz , to the computational boundary (which does not change) is computed in preset(). -!> \todo This needs to be revised. -!> -!>
      • -!>
    -!> !> @param[in] teta \f$\theta\f$ !> @param[in] zeta \f$\zeta\f$ !> @param[out] gBn \f$ \sqrt g {\bf B} \cdot {\bf n}\f$ @@ -245,8 +214,17 @@ subroutine casing( teta, zeta, gBn, icasing ) end subroutine casing - -subroutine casing2( xyz, nxyz, Pbxyz, Jxyz, gBn) +!> \brief Compute the field produced by the plasma currents, at an arbitrary, external location using virtual casing. +!> \ingroup grp_free-boundary +!> +!> casing2() computes the virtual casing field using a fixed resolution grid on the plasma boundary, in contrast to casing() which uses an adaptive integration routine. +!> Because the evaluation positions are known in advance, the most expensive terms of the computation (dvcfield) are precomputed. +!> The integral computed by casing2() is +!> \f{eqnarray}{ \int_0^{2\pi} \int_0^{2\pi} \frac{{\bf j}(\theta, \zeta) \times {\bf D}(\theta, \zeta)}{\|{\bf D}(\theta', \zeta')\|^3}+ \;\; d\theta d\zeta +!> \f} +!> with \f${\bf r}\f$ approximately the distance vector from an evaluation point of the current surface \f${\bf x}(\theta, \zeta)\f$ to the +!> external point \f$(x,y,z)\f$, and the exact formula includes a regularization factor \f$\epsilon\f$ Eqn.\f$(\ref{eq:vcasing_distance})\f$.. +subroutine casing2( xyz, nxyz, gBn) use constants, only : zero, one, three, pi2 use fileunits, only : ounit, vunit @@ -254,13 +232,13 @@ subroutine casing2( xyz, nxyz, Pbxyz, Jxyz, gBn) use inputlist, only : vcasingeps, vcNz, vcNt use allglobal, only : myid, ncpu, cpus, MPI_COMM_SPEC, & - vcNtz !, Pbxyz(1:vcNtz, 1:3), Jxyz(1:vcNtz, 1:3) + vcNtz , Pbxyz, Jxyz LOCALS REAL, intent(in) :: xyz(1:3) ! arbitrary location; Cartesian; REAL, intent(in) :: nxyz(1:3) ! surface normal on the computational boundary; Cartesian; - REAL, intent(in) :: Pbxyz(1:vcNtz, 1:3), Jxyz(1:vcNtz, 1:3) + ! REAL, intent(in) :: Pbxyz(1:vcNtz, 1:3), Jxyz(1:vcNtz, 1:3) REAL, intent(out) :: gBn ! B.n on the computational boundary; REAL :: rr(1:3), distance(1:3), jj(1:3), Bxyz(1:3), accumulator, firstorderfactor @@ -299,6 +277,34 @@ end subroutine casing2 !> \brief Compute the position and surface current on the plasma boundary for the virtual casing !> \ingroup grp_free-boundary +!> **Calculation of integrand** +!> +!>
      +!>
    • An adaptive integration is used to compute the integrals. +!> Consequently, the magnetic field tangential to the plasma boundary is required at an arbitrary point. +!> This is computed, as always, from \f${\bf B} = \nabla \times {\bf A}\f$, and this provides \f${\bf B} = B^\theta {\bf e}_\theta + B^\zeta {\bf e}_\zeta\f$. +!> Recall that \f$B^s=0\f$ by construction on the plasma boundary. +!> +!>
      • +!>
    • Then, the metric elements \f$g_{\theta\theta}\f$, \f$g_{\theta\zeta}\f$ and \f$g_{\zeta\zeta}\f$ are computed. +!> These are used to "lower" the components of the magnetic field, \f${\bf B} = B_\theta \nabla \theta + B_\zeta \nabla \zeta\f$. +!> +!>
      • +!>
    • The distance between the "evaluate" point, \f$(X,Y,Z)\f$, and the given point on the surface, \f$(x,y,z)\f$ is computed.
      • +!>
    • If the computational boundary becomes too close to the plasma boundary, the distance is small and this causes problems for the numerics. +!> I have tried to regularize this problem by introducing \f$\epsilon \equiv \f$\c inputvar \c vcasingeps. +!> Let the "distance" be +!> \f{eqnarray}{ D \equiv \sqrt{(X-x)^2 + (Y-y)^2 + (Z-Z)^2} + \epsilon^2. +!> \label{eq:vcasing_distance} \f}
      • +!>
    • On taking the limit that \f$\epsilon \rightarrow 0\f$, the virtual casing integrand is +!> \f{eqnarray}{ \verb+vcintegrand+ \equiv ( B_x n_x + B_y n_y + B_z n_z ) ( 1 + 3 \epsilon^2 / D^2 ) / D^3, \label{eq:integrand_casing} +!> \f} +!> where the normal vector is \f${\bf n} \equiv n_x {\bf i} + n_y {\bf j} + n_z {\bf k}\f$. +!> The normal vector, \c Nxyz , to the computational boundary (which does not change) is computed in preset(). +!> \todo This needs to be revised. +!> +!>
      • +!>
    !> !> @param[in] teta \f$\theta\f$ !> @param[in] zeta \f$\zeta\f$ From 3831701447b79a5657e68433f69b3d93a5cd9224 Mon Sep 17 00:00:00 2001 From: Philipp Jurasic Date: Fri, 29 Nov 2024 23:31:50 +0100 Subject: [PATCH 29/34] accuracy estimates of virtual casing method --- src/bnorml.f90 | 60 ++++++++++++++++++++++++++++++-------------------- src/casing.f90 | 30 ++++++++++++------------- 2 files changed, 51 insertions(+), 39 deletions(-) diff --git a/src/bnorml.f90 b/src/bnorml.f90 index 06f4a67d..cb6513e1 100644 --- a/src/bnorml.f90 +++ b/src/bnorml.f90 @@ -109,10 +109,10 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) REAL , intent(out) :: efmn(1:mn), ofmn(1:mn) INTEGER :: lvol, Lcurvature, Lparallel, ii, jj, kk, jk, ll, kkmodnp, jkmodnp, ifail, id01daf, nvccalls, icasing, ideriv - REAL :: lss, zeta, teta, tetalow, tetaupp, absacc, gBn, gBn2 + REAL :: lss, zeta, teta, tetalow, tetaupp, absacc, gBn REAL :: Bxyz(1:Ntz,1:3), dAt(1:Ntz), dAz(1:Ntz), distance(1:Ntz) - !REAL :: vcintegrand, zetalow, zetaupp -! external :: vcintegrand, zetalow, zetaupp + REAL :: accuracyestimate, resulth, resulth2, resulth4, deltah4h2, deltah2h + INTEGER :: vcstep BEGIN(bnorml) @@ -143,22 +143,42 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) #ifdef COMPARECASING ! Precompute Jxyz(1:Ntz,1:3) and the corresponding positions on the high resolution plasma boundary -! OMP PARALLEL DO SHARED(Pbxyz, Jxyz) PRIVATE(jk, teta, zeta) +!$OMP PARALLEL DO SHARED(Pbxyz, Jxyz) PRIVATE(jk, teta, zeta) do kk = 0, vcNz-1 ; - zeta = kk * pi2nfp / vcNz - do jj = 0, vcNt-1 ; - teta = jj * pi2 / vcNt ; - jk = 1 + jj + kk*vcNt - - call dvcfieldimpl( teta, zeta, Pbxyz(jk,1:3), Jxyz(jk,1:3) ) - - enddo + zeta = kk * pi2nfp / vcNz + do jj = 0, vcNt-1 ; + teta = jj * pi2 / vcNt ; + jk = 1 + jj + kk*vcNt + + call dvcfieldimpl( teta, zeta, Pbxyz(jk,1:3), Jxyz(jk,1:3) ) + + enddo enddo -! OMP PARALLEL DO SHARED(Dxyz, Pbxyz, Jxyz, ijimag) PRIVATE(jk) -do jk = 1, vcNtz - WCALL( bnorml, casing2, ( Dxyz(:,jk), Nxyz(:,jk), Pbxyz, Jxyz, ijimag(jk) ) ) +! iterate over resolutions of the virtual casing grid to get an estimate of the accuracy +do vcstep = 4, 0, -1 + !$OMP PARALLEL DO SHARED(Dxyz, Pbxyz, Jxyz, ijimag) PRIVATE(jk, gBn) + do jk = 1, Ntz + call casing2( Dxyz(:,jk), Nxyz(:,jk), Pbxyz(1:vcNtz, 1:3), Jxyz(1:vcNtz, 1:3), 2**vcstep, gBn) + + ijreal(jk) = ijimag(jk) + ijimag(jk) = gBn + + enddo + deltah4h2 = deltah2h + deltah2h = sum(abs(ijimag - ijreal)) ! mean delta between the h and h/2 solutions + + ! Order of the integration method: log(deltah4h2/deltah2h)/log(2.0) = 1 + ! relative error: deltah2h/abs(ijimag(jk)) + ! absolute error: delta2h/Ntz + accuracyestimate = deltah2h / sum(abs(ijimag)) enddo + +if (accuracyestimate.gt.vcasingtol) then + FATAL( bnorml, .true., virtual casing accuracy is too low, increase vcNt and vcNz ) +else + print *, "virtual casing with regular grid produced an accuracy estimate of", accuracyestimate +endif #endif do kk = 0, Nz-1 ; @@ -182,21 +202,13 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) ijreal(jk) = gBn #ifdef COMPARECASING - WCALL( bnorml, casing2, ( Dxyz(1:3,jk), Nxyz(1:3,jk), Pbxyz, Jxyz, gBn2 ) ) - ijimag(jk) = gBn2 - + ! write(ounit,1000) myid, zeta, teta, ijreal(jk), ijimag(jk), ijreal(jk)-ijimag(jk) write(ounit,1000) myid, zeta, teta, ijreal(jk), ijimag(jk), ijreal(jk)-ijimag(jk) 1000 format("bnorml : ", 10x ," : myid=",i3," : \z =",f6.3," ; \t =",f6.3," ; B . x_t x x_z =",2f22.15," ; ":"err =",es13.5," ;") #endif enddo ! end of do jj; enddo ! end of do kk; - -print *, Nt, Nz -print *, ijimag(:) -print *, " " -print *, ijreal(:) -stop !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! 1001 format("bnorml : ", 10x ," : "a1" : (t,z) = ("f8.4","f8.4" ) ; gBn=",f23.15," ; ":" error =",f23.15" ;") diff --git a/src/casing.f90 b/src/casing.f90 index 3e3160e7..9ab75bb9 100644 --- a/src/casing.f90 +++ b/src/casing.f90 @@ -213,7 +213,6 @@ subroutine casing( teta, zeta, gBn, icasing ) end subroutine casing - !> \brief Compute the field produced by the plasma currents, at an arbitrary, external location using virtual casing. !> \ingroup grp_free-boundary !> @@ -224,37 +223,38 @@ end subroutine casing !> \f} !> with \f${\bf r}\f$ approximately the distance vector from an evaluation point of the current surface \f${\bf x}(\theta, \zeta)\f$ to the !> external point \f$(x,y,z)\f$, and the exact formula includes a regularization factor \f$\epsilon\f$ Eqn.\f$(\ref{eq:vcasing_distance})\f$.. -subroutine casing2( xyz, nxyz, gBn) +subroutine casing2( xyz, nxyz, Pbxyz, Jxyz, vcstep,gBn) use constants, only : zero, one, three, pi2 use fileunits, only : ounit, vunit use inputlist, only : vcasingeps, vcNz, vcNt - use allglobal, only : myid, ncpu, cpus, MPI_COMM_SPEC, & - vcNtz , Pbxyz, Jxyz + use allglobal, only : myid, ncpu, cpus, MPI_COMM_SPEC, vcNtz !, Pbxyz, Jxyz LOCALS - REAL, intent(in) :: xyz(1:3) ! arbitrary location; Cartesian; - REAL, intent(in) :: nxyz(1:3) ! surface normal on the computational boundary; Cartesian; - ! REAL, intent(in) :: Pbxyz(1:vcNtz, 1:3), Jxyz(1:vcNtz, 1:3) + REAL, intent(in) :: xyz(3) ! arbitrary location; Cartesian; + REAL, intent(in) :: nxyz(3) ! surface normal on the computational boundary; Cartesian; + REAL, intent(in) :: Pbxyz(1:vcNtz, 1:3), Jxyz(1:vcNtz, 1:3) + INTEGER, intent(in) :: vcstep REAL, intent(out) :: gBn ! B.n on the computational boundary; REAL :: rr(1:3), distance(1:3), jj(1:3), Bxyz(1:3), accumulator, firstorderfactor - INTEGER :: jk + INTEGER :: plasmaNtz, jk !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! - accumulator = zero + ! plasmaNtz = SIZE(Pbxyz, 1) + plasmaNtz = vcNtz ! loop over the high resolution plasma boundary (inner boundary for virtual casing) - do jk = 1, vcNtz ; + do jk = 1, plasmaNtz, vcstep ; ! position on computational boundary - position on plasma boundary - rr(1:3) = xyz - Pbxyz(jk, 1:3) - jj(1:3) = Jxyz(jk, 1:3) + rr = xyz - Pbxyz(jk, 1:3) + jj = Jxyz(jk, 1:3) !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! - distance(2) = sum( rr(1:3) * rr(1:3) ) + vcasingeps**2 ! 04 May 17; + distance(2) = sum( rr * rr ) + vcasingeps**2 ! 04 May 17; distance(1) = sqrt( distance(2) ) ; distance(3) = distance(1) * distance(2) ! powers of distance; 24 Nov 16; @@ -267,9 +267,9 @@ subroutine casing2( xyz, nxyz, gBn) jj(1) * rr(2) - jj(2) * rr(1) /) ! Accumulate B.r/r^3 contributions - accumulator = accumulator + sum( Bxyz(1:3) * nxyz(1:3) ) * firstorderfactor + gBn = gBn + sum( Bxyz * nxyz ) * firstorderfactor enddo - gBn = accumulator * pi2 * pi2 / vcNtz + gBn = gBn * pi2 * pi2 / (plasmaNtz / vcstep) return end subroutine casing2 From d9b5309fbc491ad90a01fee3eac8fb2817fd3042 Mon Sep 17 00:00:00 2001 From: Philipp Jurasic Date: Fri, 29 Nov 2024 23:52:06 +0100 Subject: [PATCH 30/34] switch between grid based VC or adaptive VC --- src/bnorml.f90 | 81 +++++++++++++++++++++++++++-------------------- src/inputlist.f90 | 5 ++- src/preset.f90 | 21 ++++++------ 3 files changed, 61 insertions(+), 46 deletions(-) diff --git a/src/bnorml.f90 b/src/bnorml.f90 index cb6513e1..8f947fa2 100644 --- a/src/bnorml.f90 +++ b/src/bnorml.f90 @@ -85,7 +85,7 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) use fileunits, only : ounit, lunit - use inputlist, only : Wmacros, Wbnorml, Igeometry, Lcheck, vcasingtol, vcasingper, Lrad + use inputlist, only : Wmacros, Wbnorml, Igeometry, Lcheck, vcasingtol, vcasingper, Lrad, lgridvcasing use cputiming, only : Tbnorml @@ -139,46 +139,56 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) #endif !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! -#define COMPARECASING + #ifdef COMPARECASING -! Precompute Jxyz(1:Ntz,1:3) and the corresponding positions on the high resolution plasma boundary - -!$OMP PARALLEL DO SHARED(Pbxyz, Jxyz) PRIVATE(jk, teta, zeta) -do kk = 0, vcNz-1 ; - zeta = kk * pi2nfp / vcNz - do jj = 0, vcNt-1 ; - teta = jj * pi2 / vcNt ; - jk = 1 + jj + kk*vcNt - - call dvcfieldimpl( teta, zeta, Pbxyz(jk,1:3), Jxyz(jk,1:3) ) - +! When comparing results, both methods should always run +if (.true.) then +#else +if ( lgridvcasing.eq.1 ) then +#endif + ! Precompute Jxyz(1:Ntz,1:3) and the corresponding positions on the high resolution plasma boundary + + !$OMP PARALLEL DO SHARED(Pbxyz, Jxyz) PRIVATE(jk, teta, zeta) + do kk = 0, vcNz-1 ; + zeta = kk * pi2nfp / vcNz + do jj = 0, vcNt-1 ; + teta = jj * pi2 / vcNt ; + jk = 1 + jj + kk*vcNt + + call dvcfieldimpl( teta, zeta, Pbxyz(jk,1:3), Jxyz(jk,1:3) ) + + enddo enddo -enddo -! iterate over resolutions of the virtual casing grid to get an estimate of the accuracy -do vcstep = 4, 0, -1 - !$OMP PARALLEL DO SHARED(Dxyz, Pbxyz, Jxyz, ijimag) PRIVATE(jk, gBn) - do jk = 1, Ntz - call casing2( Dxyz(:,jk), Nxyz(:,jk), Pbxyz(1:vcNtz, 1:3), Jxyz(1:vcNtz, 1:3), 2**vcstep, gBn) - - ijreal(jk) = ijimag(jk) - ijimag(jk) = gBn + ! iterate over resolutions of the virtual casing grid to get an estimate of the accuracy + do vcstep = 3, 0, -1 + !$OMP PARALLEL DO SHARED(Dxyz, Pbxyz, Jxyz, ijimag) PRIVATE(jk, gBn) + do jk = 1, Ntz + call casing2( Dxyz(:,jk), Nxyz(:,jk), Pbxyz(1:vcNtz, 1:3), Jxyz(1:vcNtz, 1:3), 2**vcstep, gBn) + + ijreal(jk) = ijimag(jk) + ijimag(jk) = gBn + enddo + deltah4h2 = deltah2h + deltah2h = sum(abs(ijimag - ijreal)) ! mean delta between the h and h/2 solutions + + ! Order of the integration method: log(deltah4h2/deltah2h)/log(2.0) = 1 + ! relative error: deltah2h/abs(ijimag(jk)) + ! absolute error: delta2h/Ntz + accuracyestimate = deltah2h / sum(abs(ijimag)) enddo - deltah4h2 = deltah2h - deltah2h = sum(abs(ijimag - ijreal)) ! mean delta between the h and h/2 solutions - - ! Order of the integration method: log(deltah4h2/deltah2h)/log(2.0) = 1 - ! relative error: deltah2h/abs(ijimag(jk)) - ! absolute error: delta2h/Ntz - accuracyestimate = deltah2h / sum(abs(ijimag)) -enddo - -if (accuracyestimate.gt.vcasingtol) then - FATAL( bnorml, .true., virtual casing accuracy is too low, increase vcNt and vcNz ) -else - print *, "virtual casing with regular grid produced an accuracy estimate of", accuracyestimate + + write(ounit, '("bnorml : ", 10x ," : accuracyestimate = ",es13.5," ; vcasingtol = ",es13.5)') accuracyestimate, vcasingtol + ! if (accuracyestimate.gt.vcasingtol) then + ! FATAL( bnorml, .true., virtual casing accuracy is too low, increase vcNt and vcNz ) + ! endif +#ifdef COMPARECASING endif +! When comparing results, both methods should always run +if (.true.) then +#else +else ! if not lgridvcasing #endif do kk = 0, Nz-1 ; @@ -209,6 +219,7 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) enddo ! end of do jj; enddo ! end of do kk; +endif ! end of if (lgridvcasing ) !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! 1001 format("bnorml : ", 10x ," : "a1" : (t,z) = ("f8.4","f8.4" ) ; gBn=",f23.15," ; ":" error =",f23.15" ;") diff --git a/src/inputlist.f90 b/src/inputlist.f90 index 54296e9f..f97de389 100644 --- a/src/inputlist.f90 +++ b/src/inputlist.f90 @@ -315,6 +315,7 @@ module inputlist !< INTEGER :: Ntoraxis = 3 !< the number of \f$n\f$ harmonics used in the Jacobian \f$m=1\f$ harmonic elimination method; !< only relevant if \c Lrzaxis.ge.1 . + INTEGER :: Lgridvcasing = 0 !< Which method to use for the virtual casing integral. 0 = adaptive integration routine with guaranteed accuracy, 1 = fixed resolution grid !> @} !> \addtogroup grp_global_local locallist @@ -677,7 +678,8 @@ module inputlist Lextrap ,& Mregular ,& Lrzaxis ,& - Ntoraxis + Ntoraxis ,& + Lgridvcasing namelist/locallist/& LBeltrami ,& @@ -893,6 +895,7 @@ subroutine initialize_inputs Mregular = -1 Lrzaxis = 1 Ntoraxis = 3 + Lgridvcasing = 0 ! locallist diff --git a/src/preset.f90 b/src/preset.f90 index 965a0dd2..85f1c377 100644 --- a/src/preset.f90 +++ b/src/preset.f90 @@ -1723,21 +1723,22 @@ subroutine preset !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! if (Lfreebound > 0) then ! Only do for free-boundary; 7 Nov 18; - if ( vcNt.lt.Nt ) then - FATAL( bnorml, .true., The plasma boundary resolution for virtual casing vcNt must be greater than or equal to Nt ) - endif - if ( vcNz.lt.Nz ) then - FATAL( bnorml, .true., The plasma boundary resolution for virtual casing vcNz must be greater than or equal to Nz ) + if (Lgridvcasing .eq. 1) then + if ( vcNt.lt.Nt ) then + FATAL( bnorml, .true., The plasma boundary resolution for virtual casing vcNt must be greater than or equal to Nt ) + endif + if ( vcNz.lt.Nz ) then + FATAL( bnorml, .true., The plasma boundary resolution for virtual casing vcNz must be greater than or equal to Nz ) + endif + + vcNtz = vcNt*vcNz ! the plasma boundary has to use a higher resolution than the computational boundary + SALLOCATE( Jxyz, (1:vcNtz,1:3), zero ) ! Cartesian components of virtual casing surface current; needs to be recalculated at each iteration; + SALLOCATE( Pbxyz, (1:vcNtz,1:3), zero ) ! Cartesian points on the plasma boundary; needs to be recalculated at each iteration; endif - vcNtz = vcNt*vcNz ! the plasma boundary has to use a higher resolution than the computational boundary - SALLOCATE( Dxyz, (1:3,1:Ntz), zero ) ! Cartesian components of computational boundary; position; 14 Apr 17; SALLOCATE( Nxyz, (1:3,1:Ntz), zero ) ! Cartesian components of computational boundary; normal ; 14 Apr 17; - SALLOCATE( Jxyz, (1:vcNtz,1:3), zero ) ! Cartesian components of virtual casing surface current; needs to be recalculated at each iteration; - SALLOCATE( Pbxyz, (1:vcNtz,1:3), zero ) ! Cartesian points on the plasma boundary; needs to be recalculated at each iteration; - lvol = Mvol ; lss = one ; Lcurvature = 1 ; Lcoordinatesingularity = .false. ! will only require normal field on outer interface = computational boundary; WCALL( preset, coords,( lvol, lss, Lcurvature, Ntz, mn ) ) ! will need Rij, Zij; THE COMPUTATIONAL BOUNDARY DOES NOT CHANGE; From 72437525e406460e16a7ab2aa5d8c41cfd008148 Mon Sep 17 00:00:00 2001 From: Philipp Jurasic Date: Sat, 30 Nov 2024 16:47:50 +0100 Subject: [PATCH 31/34] variable renaming, added to outputlist --- src/bnorml.f90 | 30 +++++++++++------------------- src/casing.f90 | 6 +++--- src/global.f90 | 2 -- src/inputlist.f90 | 6 +++--- src/preset.f90 | 7 +++---- src/sphdf5.f90 | 3 +++ 6 files changed, 23 insertions(+), 31 deletions(-) diff --git a/src/bnorml.f90 b/src/bnorml.f90 index 8f947fa2..a894ca34 100644 --- a/src/bnorml.f90 +++ b/src/bnorml.f90 @@ -85,7 +85,7 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) use fileunits, only : ounit, lunit - use inputlist, only : Wmacros, Wbnorml, Igeometry, Lcheck, vcasingtol, vcasingper, Lrad, lgridvcasing + use inputlist, only : Wmacros, Wbnorml, Igeometry, Lcheck, vcasingtol, vcasingper, Lrad, Lvcgrid use cputiming, only : Tbnorml @@ -99,7 +99,7 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) Nt, Nz, cfmn, sfmn, & ijreal, ijimag, jireal, jiimag, & globaljk, virtualcasingfactor, gteta, gzeta, Dxyz, Nxyz, & - Jxyz, Pbxyz, vcNtz + Jxyz, Pbxyz !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! @@ -114,6 +114,7 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) REAL :: accuracyestimate, resulth, resulth2, resulth4, deltah4h2, deltah2h INTEGER :: vcstep + BEGIN(bnorml) !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! @@ -144,14 +145,14 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) ! When comparing results, both methods should always run if (.true.) then #else -if ( lgridvcasing.eq.1 ) then +if ( Lvcgrid.eq.1 ) then #endif ! Precompute Jxyz(1:Ntz,1:3) and the corresponding positions on the high resolution plasma boundary - !$OMP PARALLEL DO SHARED(Pbxyz, Jxyz) PRIVATE(jk, teta, zeta) + !$OMP PARALLEL DO SHARED(Pbxyz, Jxyz) PRIVATE(jk, teta, zeta) COLLAPSE(2) do kk = 0, vcNz-1 ; - zeta = kk * pi2nfp / vcNz do jj = 0, vcNt-1 ; + zeta = kk * pi2nfp / vcNz teta = jj * pi2 / vcNt ; jk = 1 + jj + kk*vcNt @@ -164,10 +165,10 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) do vcstep = 3, 0, -1 !$OMP PARALLEL DO SHARED(Dxyz, Pbxyz, Jxyz, ijimag) PRIVATE(jk, gBn) do jk = 1, Ntz - call casing2( Dxyz(:,jk), Nxyz(:,jk), Pbxyz(1:vcNtz, 1:3), Jxyz(1:vcNtz, 1:3), 2**vcstep, gBn) + call casing2( Dxyz(:,jk), Nxyz(:,jk), Pbxyz, Jxyz, 2**vcstep, gBn) - ijreal(jk) = ijimag(jk) - ijimag(jk) = gBn + ijreal(jk) = ijimag(jk) ! previous solution (lower resolution) + ijimag(jk) = gBn ! current solution (higher resolution) enddo deltah4h2 = deltah2h @@ -188,7 +189,7 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) ! When comparing results, both methods should always run if (.true.) then #else -else ! if not lgridvcasing +else ! if not Lvcgrid #endif do kk = 0, Nz-1 ; @@ -219,7 +220,7 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) enddo ! end of do jj; enddo ! end of do kk; -endif ! end of if (lgridvcasing ) +endif ! end of if (Lvcgrid ) !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! 1001 format("bnorml : ", 10x ," : "a1" : (t,z) = ("f8.4","f8.4" ) ; gBn=",f23.15," ; ":" error =",f23.15" ;") @@ -241,11 +242,6 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) case( 0 ) ! Lparallel = 0 ; 09 Mar 17; RlBCAST(ijreal(1+kk*Nt:Nt+kk*Nt),Nt,kkmodnp) ! plasma; 03 Apr 13; - !RlBCAST(ijimag(1+kk*Nt:Nt+kk*Nt),Nt,kkmodnp) - - !RlBCAST(jireal(1+kk*Nt:Nt+kk*Nt),Nt,kkmodnp) - !RlBCAST(jiimag(1+kk*Nt:Nt+kk*Nt),Nt,kkmodnp) - case( 1 ) ! Lparallel = 1 ; 09 Mar 17; do jj = 0, Nt-1 @@ -255,10 +251,6 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) jkmodnp = modulo(jk-1,ncpu) RlBCAST(ijreal(jk),1,jkmodnp) ! plasma; 03 Apr 13; - !RlBCAST(ijimag(jk),1,jkmodnp) - - !RlBCAST(jireal(jk),1,jkmodnp) - !RlBCAST(jiimag(jk),1,jkmodnp) enddo diff --git a/src/casing.f90 b/src/casing.f90 index 9ab75bb9..a54dc707 100644 --- a/src/casing.f90 +++ b/src/casing.f90 @@ -230,13 +230,13 @@ subroutine casing2( xyz, nxyz, Pbxyz, Jxyz, vcstep,gBn) use inputlist, only : vcasingeps, vcNz, vcNt - use allglobal, only : myid, ncpu, cpus, MPI_COMM_SPEC, vcNtz !, Pbxyz, Jxyz + use allglobal, only : myid, ncpu, cpus, MPI_COMM_SPEC !, Pbxyz, Jxyz LOCALS REAL, intent(in) :: xyz(3) ! arbitrary location; Cartesian; REAL, intent(in) :: nxyz(3) ! surface normal on the computational boundary; Cartesian; - REAL, intent(in) :: Pbxyz(1:vcNtz, 1:3), Jxyz(1:vcNtz, 1:3) + REAL, intent(in) :: Pbxyz(1:vcNz*vcNt, 1:3), Jxyz(1:vcNz*vcNt, 1:3) INTEGER, intent(in) :: vcstep REAL, intent(out) :: gBn ! B.n on the computational boundary; @@ -245,7 +245,7 @@ subroutine casing2( xyz, nxyz, Pbxyz, Jxyz, vcstep,gBn) !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! ! plasmaNtz = SIZE(Pbxyz, 1) - plasmaNtz = vcNtz + plasmaNtz = vcNz*vcNt ! loop over the high resolution plasma boundary (inner boundary for virtual casing) do jk = 1, plasmaNtz, vcstep ; ! position on computational boundary - position on plasma boundary diff --git a/src/global.f90 b/src/global.f90 index 8b00d447..8b5318d0 100644 --- a/src/global.f90 +++ b/src/global.f90 @@ -844,8 +844,6 @@ module allglobal INTEGER :: IBerror !< for computing error in magnetic field INTEGER :: nfreeboundaryiterations !< number of free-boundary iterations already performed - - INTEGER :: vcNtz !< number of grid points in \f$\theta\f$ and \f$\zeta\f$ for the plasma surface current computation !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! INTEGER, parameter :: Node = 2 !< best to make this global for consistency between calling and called routines diff --git a/src/inputlist.f90 b/src/inputlist.f90 index f97de389..18d3fff6 100644 --- a/src/inputlist.f90 +++ b/src/inputlist.f90 @@ -315,7 +315,7 @@ module inputlist !< INTEGER :: Ntoraxis = 3 !< the number of \f$n\f$ harmonics used in the Jacobian \f$m=1\f$ harmonic elimination method; !< only relevant if \c Lrzaxis.ge.1 . - INTEGER :: Lgridvcasing = 0 !< Which method to use for the virtual casing integral. 0 = adaptive integration routine with guaranteed accuracy, 1 = fixed resolution grid + INTEGER :: Lvcgrid = 0 !< Which method to use for the virtual casing integral. 0 = adaptive integration routine with guaranteed accuracy, 1 = fixed resolution grid !> @} !> \addtogroup grp_global_local locallist @@ -679,7 +679,7 @@ module inputlist Mregular ,& Lrzaxis ,& Ntoraxis ,& - Lgridvcasing + Lvcgrid namelist/locallist/& LBeltrami ,& @@ -895,7 +895,7 @@ subroutine initialize_inputs Mregular = -1 Lrzaxis = 1 Ntoraxis = 3 - Lgridvcasing = 0 + Lvcgrid = 0 ! locallist diff --git a/src/preset.f90 b/src/preset.f90 index 85f1c377..6ee70246 100644 --- a/src/preset.f90 +++ b/src/preset.f90 @@ -1723,7 +1723,7 @@ subroutine preset !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! if (Lfreebound > 0) then ! Only do for free-boundary; 7 Nov 18; - if (Lgridvcasing .eq. 1) then + if (Lvcgrid .eq. 1) then if ( vcNt.lt.Nt ) then FATAL( bnorml, .true., The plasma boundary resolution for virtual casing vcNt must be greater than or equal to Nt ) endif @@ -1731,9 +1731,8 @@ subroutine preset FATAL( bnorml, .true., The plasma boundary resolution for virtual casing vcNz must be greater than or equal to Nz ) endif - vcNtz = vcNt*vcNz ! the plasma boundary has to use a higher resolution than the computational boundary - SALLOCATE( Jxyz, (1:vcNtz,1:3), zero ) ! Cartesian components of virtual casing surface current; needs to be recalculated at each iteration; - SALLOCATE( Pbxyz, (1:vcNtz,1:3), zero ) ! Cartesian points on the plasma boundary; needs to be recalculated at each iteration; + SALLOCATE( Jxyz, (1:vcNt*vcNz,1:3), zero ) ! Cartesian components of virtual casing surface current; needs to be recalculated at each iteration; + SALLOCATE( Pbxyz, (1:vcNt*vcNz,1:3), zero ) ! Cartesian points on the plasma boundary; needs to be recalculated at each iteration; endif SALLOCATE( Dxyz, (1:3,1:Ntz), zero ) ! Cartesian components of computational boundary; position; 14 Apr 17; diff --git a/src/sphdf5.f90 b/src/sphdf5.f90 index 756414c9..27a6e7ef 100644 --- a/src/sphdf5.f90 +++ b/src/sphdf5.f90 @@ -294,6 +294,7 @@ subroutine mirror_input_to_outfile HWRITEIV( grpInputNumerics, 1, Mregular , (/ Mregular /)) HWRITEIV( grpInputNumerics, 1, Lrzaxis , (/ Lrzaxis /)) HWRITEIV( grpInputNumerics, 1, Ntoraxis , (/ Ntoraxis /)) + HWRITEIV( grpInputNumerics, 1, Lvcgrid , (/ Lvcgrid /)) HCLOSEGRP( grpInputNumerics, __FILE__, __LINE__) @@ -344,6 +345,8 @@ subroutine mirror_input_to_outfile HWRITEIV( grpInputGlobal, 1, vcasingits , (/ vcasingits /)) HWRITEIV( grpInputGlobal, 1, vcasingper , (/ vcasingper /)) HWRITEIV( grpInputGlobal, 1, mcasingcal , (/ mcasingcal /)) ! redundant; + HWRITEIV( grpInputGlobal, 1, vcnt , (/ vcnt /)) + HWRITEIV( grpInputGlobal, 1, vcnz , (/ vcnz /)) HCLOSEGRP( grpInputGlobal ) From 594f6e5bf020f27c8981543a79cc00e47c8f35e4 Mon Sep 17 00:00:00 2001 From: Philipp Jurasic Date: Sat, 30 Nov 2024 16:51:43 +0100 Subject: [PATCH 32/34] add to inputlist copy --- src/global.f90 | 3 +++ 1 file changed, 3 insertions(+) diff --git a/src/global.f90 b/src/global.f90 index 8b5318d0..fccfc179 100644 --- a/src/global.f90 +++ b/src/global.f90 @@ -1817,6 +1817,7 @@ subroutine wrtend write(iunit,'(" Mregular = ",i9 )') Mregular write(iunit,'(" Lrzaxis = ",i9 )') Lrzaxis write(iunit,'(" Ntoraxis = ",i9 )') Ntoraxis + write(iunit,'(" Lvcgrid = ",i9 )') Lvcgrid write(iunit,'("/")') if( Wwrtend ) then ; cput = GETTIME ; write(ounit,'("wrtend : ",f10.2," : myid=",i3," ; writing locallist ;")') cput-cpus, myid @@ -1858,6 +1859,8 @@ subroutine wrtend write(iunit,'(" vcasingtol = ",es23.15 )') vcasingtol write(iunit,'(" vcasingits = ",i9 )') vcasingits write(iunit,'(" vcasingper = ",i9 )') vcasingper + write(iunit,'(" vcnt = ",i9 )') vcnt + write(iunit,'(" vcnz = ",i9 )') vcnz write(iunit,'("/")') if( Wwrtend ) then ; cput = GETTIME ; write(ounit,'("wrtend : ",f10.2," : myid=",i3," ; writing diagnosticslist ;")') cput-cpus, myid From 1170aea0e3762f04d7dd154955b1673a20a32dc5 Mon Sep 17 00:00:00 2001 From: Philipp Jurasic Date: Sat, 30 Nov 2024 19:08:32 +0100 Subject: [PATCH 33/34] unused variables --- src/bnorml.f90 | 10 +++------- 1 file changed, 3 insertions(+), 7 deletions(-) diff --git a/src/bnorml.f90 b/src/bnorml.f90 index a894ca34..835fb8a9 100644 --- a/src/bnorml.f90 +++ b/src/bnorml.f90 @@ -108,9 +108,9 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) INTEGER, intent(in) :: mn, Ntz REAL , intent(out) :: efmn(1:mn), ofmn(1:mn) - INTEGER :: lvol, Lcurvature, Lparallel, ii, jj, kk, jk, ll, kkmodnp, jkmodnp, ifail, id01daf, nvccalls, icasing, ideriv - REAL :: lss, zeta, teta, tetalow, tetaupp, absacc, gBn - REAL :: Bxyz(1:Ntz,1:3), dAt(1:Ntz), dAz(1:Ntz), distance(1:Ntz) + INTEGER :: lvol, Lparallel, ii, jj, kk, jk, ll, kkmodnp, jkmodnp, ifail, id01daf, nvccalls, icasing + REAL :: zeta, teta, gBn + REAL :: Bxyz(1:Ntz,1:3), distance(1:Ntz) REAL :: accuracyestimate, resulth, resulth2, resulth4, deltah4h2, deltah2h INTEGER :: vcstep @@ -124,10 +124,6 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! ijreal(1:Ntz) = zero ! normal plasma field; 15 Oct 12; - !ijimag(1:Ntz) = zero - - !jireal(1:Ntz) = zero - !jiimag(1:Ntz) = zero !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! From c1da9d4fa310933c84f3aba3e29fa14cf130f38b Mon Sep 17 00:00:00 2001 From: Philipp Jurasic Date: Tue, 3 Dec 2024 14:03:13 +0100 Subject: [PATCH 34/34] better variables names --- src/bnorml.f90 | 17 ++++++------ src/casing.f90 | 75 +++++++++++++++++++++++++------------------------- 2 files changed, 47 insertions(+), 45 deletions(-) diff --git a/src/bnorml.f90 b/src/bnorml.f90 index 835fb8a9..237f66fd 100644 --- a/src/bnorml.f90 +++ b/src/bnorml.f90 @@ -111,7 +111,7 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) INTEGER :: lvol, Lparallel, ii, jj, kk, jk, ll, kkmodnp, jkmodnp, ifail, id01daf, nvccalls, icasing REAL :: zeta, teta, gBn REAL :: Bxyz(1:Ntz,1:3), distance(1:Ntz) - REAL :: accuracyestimate, resulth, resulth2, resulth4, deltah4h2, deltah2h + REAL :: vcgriderr, resulth, resulth2, resulth4, deltah4h2, deltah2h INTEGER :: vcstep @@ -152,16 +152,17 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) teta = jj * pi2 / vcNt ; jk = 1 + jj + kk*vcNt - call dvcfieldimpl( teta, zeta, Pbxyz(jk,1:3), Jxyz(jk,1:3) ) + call surfacecurrent( teta, zeta, Pbxyz(jk,1:3), Jxyz(jk,1:3) ) enddo enddo - ! iterate over resolutions of the virtual casing grid to get an estimate of the accuracy - do vcstep = 3, 0, -1 + ! iterate over resolutions of the virtual casing grid to get an estimate of the accuracy. + ! Each vcstep iteration doubles the resolution, so we can measure the convergence rate. + do vcstep = 1, 0, -1 !$OMP PARALLEL DO SHARED(Dxyz, Pbxyz, Jxyz, ijimag) PRIVATE(jk, gBn) do jk = 1, Ntz - call casing2( Dxyz(:,jk), Nxyz(:,jk), Pbxyz, Jxyz, 2**vcstep, gBn) + call casingregular( Dxyz(:,jk), Nxyz(:,jk), Pbxyz, Jxyz, 2**vcstep, gBn) ijreal(jk) = ijimag(jk) ! previous solution (lower resolution) ijimag(jk) = gBn ! current solution (higher resolution) @@ -173,11 +174,11 @@ subroutine bnorml( mn, Ntz, efmn, ofmn ) ! Order of the integration method: log(deltah4h2/deltah2h)/log(2.0) = 1 ! relative error: deltah2h/abs(ijimag(jk)) ! absolute error: delta2h/Ntz - accuracyestimate = deltah2h / sum(abs(ijimag)) + vcgriderr = deltah2h / sum(abs(ijimag)) enddo - write(ounit, '("bnorml : ", 10x ," : accuracyestimate = ",es13.5," ; vcasingtol = ",es13.5)') accuracyestimate, vcasingtol - ! if (accuracyestimate.gt.vcasingtol) then + write(ounit, '("bnorml : ", 10x ," : vcgriderr = ",es13.5," ; vcasingtol = ",es13.5)') vcgriderr, vcasingtol + ! if (vcgriderr.gt.vcasingtol) then ! FATAL( bnorml, .true., virtual casing accuracy is too low, increase vcNt and vcNz ) ! endif #ifdef COMPARECASING diff --git a/src/casing.f90 b/src/casing.f90 index a54dc707..f622cf4f 100644 --- a/src/casing.f90 +++ b/src/casing.f90 @@ -216,14 +216,14 @@ end subroutine casing !> \brief Compute the field produced by the plasma currents, at an arbitrary, external location using virtual casing. !> \ingroup grp_free-boundary !> -!> casing2() computes the virtual casing field using a fixed resolution grid on the plasma boundary, in contrast to casing() which uses an adaptive integration routine. -!> Because the evaluation positions are known in advance, the most expensive terms of the computation (dvcfield) are precomputed. -!> The integral computed by casing2() is +!> casingregular() computes the virtual casing field using a fixed resolution grid on the plasma boundary, in contrast to casing() which uses an adaptive integration routine. +!> Because the evaluation positions are known in advance, the most expensive terms of the computation (dvcfield) can be precomputed. +!> The integral computed by casingregular() is !> \f{eqnarray}{ \int_0^{2\pi} \int_0^{2\pi} \frac{{\bf j}(\theta, \zeta) \times {\bf D}(\theta, \zeta)}{\|{\bf D}(\theta', \zeta')\|^3}+ \;\; d\theta d\zeta !> \f} !> with \f${\bf r}\f$ approximately the distance vector from an evaluation point of the current surface \f${\bf x}(\theta, \zeta)\f$ to the !> external point \f$(x,y,z)\f$, and the exact formula includes a regularization factor \f$\epsilon\f$ Eqn.\f$(\ref{eq:vcasing_distance})\f$.. -subroutine casing2( xyz, nxyz, Pbxyz, Jxyz, vcstep,gBn) +subroutine casingregular( xyz, nxyz, Pbxyz, Jxyz, vcstep,gBn) use constants, only : zero, one, three, pi2 use fileunits, only : ounit, vunit @@ -272,45 +272,17 @@ subroutine casing2( xyz, nxyz, Pbxyz, Jxyz, vcstep,gBn) gBn = gBn * pi2 * pi2 / (plasmaNtz / vcstep) return -end subroutine casing2 +end subroutine casingregular !> \brief Compute the position and surface current on the plasma boundary for the virtual casing !> \ingroup grp_free-boundary -!> **Calculation of integrand** -!> -!>
      -!>
    • An adaptive integration is used to compute the integrals. -!> Consequently, the magnetic field tangential to the plasma boundary is required at an arbitrary point. -!> This is computed, as always, from \f${\bf B} = \nabla \times {\bf A}\f$, and this provides \f${\bf B} = B^\theta {\bf e}_\theta + B^\zeta {\bf e}_\zeta\f$. -!> Recall that \f$B^s=0\f$ by construction on the plasma boundary. -!> -!>
      • -!>
    • Then, the metric elements \f$g_{\theta\theta}\f$, \f$g_{\theta\zeta}\f$ and \f$g_{\zeta\zeta}\f$ are computed. -!> These are used to "lower" the components of the magnetic field, \f${\bf B} = B_\theta \nabla \theta + B_\zeta \nabla \zeta\f$. -!> -!>
      • -!>
    • The distance between the "evaluate" point, \f$(X,Y,Z)\f$, and the given point on the surface, \f$(x,y,z)\f$ is computed.
      • -!>
    • If the computational boundary becomes too close to the plasma boundary, the distance is small and this causes problems for the numerics. -!> I have tried to regularize this problem by introducing \f$\epsilon \equiv \f$\c inputvar \c vcasingeps. -!> Let the "distance" be -!> \f{eqnarray}{ D \equiv \sqrt{(X-x)^2 + (Y-y)^2 + (Z-Z)^2} + \epsilon^2. -!> \label{eq:vcasing_distance} \f}
      • -!>
    • On taking the limit that \f$\epsilon \rightarrow 0\f$, the virtual casing integrand is -!> \f{eqnarray}{ \verb+vcintegrand+ \equiv ( B_x n_x + B_y n_y + B_z n_z ) ( 1 + 3 \epsilon^2 / D^2 ) / D^3, \label{eq:integrand_casing} -!> \f} -!> where the normal vector is \f${\bf n} \equiv n_x {\bf i} + n_y {\bf j} + n_z {\bf k}\f$. -!> The normal vector, \c Nxyz , to the computational boundary (which does not change) is computed in preset(). -!> \todo This needs to be revised. -!> -!>
      • -!>
    !> !> @param[in] teta \f$\theta\f$ !> @param[in] zeta \f$\zeta\f$ !> @param[out] pxyz \f${\bf B}_{Plasma} \cdot {\bf e}_\theta \times {\bf e}_\zeta \;\f$ on the computational boundary !> @param[out] jj \f${\bf B}_{Plasma} \cdot {\bf e}_\theta \times {\bf e}_\zeta \;\f$ on the computational boundary -subroutine dvcfieldimpl( teta, zeta, pxyz, jj) +subroutine surfacecurrent( teta, zeta, pxyz, jj) !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! @@ -535,7 +507,7 @@ subroutine dvcfieldimpl( teta, zeta, pxyz, jj) !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! - end subroutine dvcfieldimpl + end subroutine surfacecurrent !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! @@ -543,7 +515,36 @@ end subroutine dvcfieldimpl !> \ingroup grp_free-boundary !> !> Differential virtual casing integrand with the calling convention required by NAG for the adaptive integration routine. -!> This function wraps dvcfieldimpl and uses a global variable globaljk to determine the position on the computational boundary (not thread safe!). +!> This function wraps surfacecurrent and uses a global variable globaljk to determine the position on the computational boundary (not thread safe!). +!> +!> **Calculation of integrand** +!> +!>
      +!>
    • An adaptive integration is used to compute the integrals. +!> Consequently, the magnetic field tangential to the plasma boundary is required at an arbitrary point. +!> This is computed, as always, from \f${\bf B} = \nabla \times {\bf A}\f$, and this provides \f${\bf B} = B^\theta {\bf e}_\theta + B^\zeta {\bf e}_\zeta\f$. +!> Recall that \f$B^s=0\f$ by construction on the plasma boundary. +!> +!>
      • +!>
    • Then, the metric elements \f$g_{\theta\theta}\f$, \f$g_{\theta\zeta}\f$ and \f$g_{\zeta\zeta}\f$ are computed. +!> These are used to "lower" the components of the magnetic field, \f${\bf B} = B_\theta \nabla \theta + B_\zeta \nabla \zeta\f$. +!> +!>
      • +!>
    • The distance between the "evaluate" point, \f$(X,Y,Z)\f$, and the given point on the surface, \f$(x,y,z)\f$ is computed.
      • +!>
    • If the computational boundary becomes too close to the plasma boundary, the distance is small and this causes problems for the numerics. +!> I have tried to regularize this problem by introducing \f$\epsilon \equiv \f$\c inputvar \c vcasingeps. +!> Let the "distance" be +!> \f{eqnarray}{ D \equiv \sqrt{(X-x)^2 + (Y-y)^2 + (Z-Z)^2} + \epsilon^2. +!> \label{eq:vcasing_distance} \f}
      • +!>
    • On taking the limit that \f$\epsilon \rightarrow 0\f$, the virtual casing integrand is +!> \f{eqnarray}{ \verb+vcintegrand+ \equiv ( B_x n_x + B_y n_y + B_z n_z ) ( 1 + 3 \epsilon^2 / D^2 ) / D^3, \label{eq:integrand_casing} +!> \f} +!> where the normal vector is \f${\bf n} \equiv n_x {\bf i} + n_y {\bf j} + n_z {\bf k}\f$. +!> The normal vector, \c Nxyz , to the computational boundary (which does not change) is computed in preset(). +!> \todo This needs to be revised. +!> +!>
      • +!>
    !> !> @param[in] Ndim number of parameters (==2) !> @param[in] tz \f$\theta\f$ and \f$\zeta\f$ @@ -579,7 +580,7 @@ subroutine dvcfield( Ndim, tz, Nfun, vcintegrand ) #endif !-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-!-! - call dvcfieldimpl(tz(1), tz(2), pxyz, jj) + call surfacecurrent(tz(1), tz(2), pxyz, jj) ! position on computational boundary - position on plasma boundary rr(1:3) = Dxyz(1:3,globaljk) - pxyz(1:3)

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