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40 changes: 26 additions & 14 deletions README.md
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<p align="center">
<p align="center">
<a href="http://mathlab.github.io/PyGeM/" target="_blank" >
<img alt="Python Geometrical Morphing" src="docs/source/_static/logo_PyGeM.png" width="200" />
</a>
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### References
The deformations implemented are taken from the following papers:

* Sieger, Menzel, Botsch. *On Shape Deformation Techniques for Simulation-based Design Optimization*. SEMA SIMAI Springer Series, 2015. [[DOI](https://doi.org/10.1007/978-3-319-06053-8_14)], [[pdf](http://www.honda-ri.de/pubs/pdf/1052.pdf)].
* Sieger, Menzel, Botsch. *On Shape Deformation Techniques for Simulation-based Design Optimization*. SEMA SIMAI Springer Series, 2015. [[DOI](https://doi.org/10.1007/978-3-319-06053-8_14)], [[pdf](http://www.honda-ri.de/pubs/pdf/1052.pdf)],
[[bibitem](readme/sieger2015shape.bib)].

* Forti, Rozza. *Efficient geometrical parametrisation techniques of interfaces for reduced-order modelling: application to fluid–structure interaction coupling problems*. International Journal of Computational Fluid Dynamics, 2014. [[DOI](http://dx.doi.org/10.1080/10618562.2014.932352)].
* Forti, Rozza. *Efficient geometrical parametrisation techniques of interfaces for reduced-order modelling: application to fluid–structure interaction coupling problems*. International Journal of Computational Fluid Dynamics, 2014. [[DOI](http://dx.doi.org/10.1080/10618562.2014.932352)],
[[bibitem](readme/forti2014efficient.bib)].

* Sieger, Menzel, Botsch. *RBF Morphing Techniques for Simulation-based Design Optimization*. M. Engineering with Computers, 2014. [[DOI](https://doi.org/10.1007/s00366-013-0330-1)], [[pdf](http://www.honda-ri.de/pubs/pdf/923.pdf)].
* Sieger, Menzel, Botsch. *RBF Morphing Techniques for Simulation-based Design Optimization*. M. Engineering with Computers, 2014. [[DOI](https://doi.org/10.1007/s00366-013-0330-1)], [[pdf](http://www.honda-ri.de/pubs/pdf/923.pdf)],
[[bibitem](readme/sieger2014rbf.bib)].

* Lombardi, Parolini, Quarteroni, Rozza. *Numerical Simulation of Sailing Boats: Dynamics, FSI, and Shape Optimization*. Springer Optimization and Its Applications, 2012. [[DOI](http://dx.doi.org/10.1007/978-1-4614-2435-2_15)], [[pdf](https://infoscience.epfl.ch/record/175879/files/PaerErice-Lombardi-parolini-quarteroni-Rozza.pdf)].
* Lombardi, Parolini, Quarteroni, Rozza. *Numerical Simulation of Sailing Boats: Dynamics, FSI, and Shape Optimization*. Springer Optimization and Its Applications, 2012. [[DOI](http://dx.doi.org/10.1007/978-1-4614-2435-2_15)], [[pdf](https://infoscience.epfl.ch/record/175879/files/PaerErice-Lombardi-parolini-quarteroni-Rozza.pdf)],
[[bibitem](readme/lombardi2012numerical.bib)].

### Recent works with PyGeM
Here there is a list of the scientific works involving **PyGeM** you can consult and/or cite. If you want to add one, please open a PR.

* Tezzele, Demo, Mola, Rozza. *An integrated data-driven computational pipeline with model order reduction for industrial and applied mathematics*. Submitted, 2018. [[arXiv](https://arxiv.org/abs/1810.12364)].
* Tezzele, Demo, Mola, Rozza. *An integrated data-driven computational pipeline with model order reduction for industrial and applied mathematics*. Submitted, 2018. [[arXiv](https://arxiv.org/abs/1810.12364)],
[[bibitem](readme/tezzele2018ecmi.bib)].

* Tezzele, Salmoiraghi, Mola, Rozza. *Dimension reduction in heterogeneous parametric spaces with application to naval engineering shape design problems*. Advanced Modeling and Simulation in Engineering Sciences, 2018. [[DOI](https://doi.org/10.1186/s40323-018-0118-3)], [[arXiv](https://arxiv.org/abs/1709.03298)].
* Tezzele, Salmoiraghi, Mola, Rozza. *Dimension reduction in heterogeneous parametric spaces with application to naval engineering shape design problems*. Advanced Modeling and Simulation in Engineering Sciences, 2018. [[DOI](https://doi.org/10.1186/s40323-018-0118-3)], [[arXiv](https://arxiv.org/abs/1709.03298)], [[bibitem](readme/tezzele2018dimension.bib)].

* Tezzele, Ballarin, Rozza. *Combined parameter and model reduction of cardiovascular problems by means of active subspaces and POD-Galerkin methods*. In Mathematical and Numerical Modeling of the Cardiovascular System and Applications. SEMA SIMAI Springer Series vol. 16, 2018. [[DOI](https://doi.org/10.1007/978-3-319-96649-6_8)], [[arXiv](https://arxiv.org/abs/1711.10884)].
* Tezzele, Ballarin, Rozza. *Combined parameter and model reduction of cardiovascular problems by means of active subspaces and POD-Galerkin methods*. In Mathematical and Numerical Modeling of the Cardiovascular System and Applications. SEMA SIMAI Springer Series vol. 16, 2018. [[DOI](https://doi.org/10.1007/978-3-319-96649-6_8)], [[arXiv](https://arxiv.org/abs/1711.10884)],
[[bibitem](readme/tezzele2018combined.bib)].

* Salmoiraghi, Scardigli, Telib, Rozza. *Free-form deformation, mesh morphing and reduced-order methods: enablers for efficient aerodynamic shape optimisation*. International Journal of Computational Fluid Dynamics, 2018. [[DOI](https://doi.org/10.1080/10618562.2018.1514115)], [[arXiv](https://arxiv.org/abs/1803.04688)].
* Salmoiraghi, Scardigli, Telib, Rozza. *Free-form deformation, mesh morphing and reduced-order methods: enablers for efficient aerodynamic shape optimisation*. International Journal of Computational Fluid Dynamics, 2018. [[DOI](https://doi.org/10.1080/10618562.2018.1514115)], [[arXiv](https://arxiv.org/abs/1803.04688)],
[[bibitem](readme/salmoiraghi2018free.bib)].

* Demo, Tezzele, Gustin, Lavini, Rozza. *Shape optimization by means of proper orthogonal decomposition and dynamic mode decomposition*. In Technology and Science for the Ships of the Future: Proceedings of NAV 2018: 19th International Conference on Ship & Maritime Research, 2018. [[DOI](https://doi.org/10.3233/978-1-61499-870-9-212)], [[arXiv](https://arxiv.org/abs/1803.07368)].
* Demo, Tezzele, Gustin, Lavini, Rozza. *Shape optimization by means of proper orthogonal decomposition and dynamic mode decomposition*. In Technology and Science for the Ships of the Future: Proceedings of NAV 2018: 19th International Conference on Ship & Maritime Research, 2018. [[DOI](https://doi.org/10.3233/978-1-61499-870-9-212)], [[arXiv](https://arxiv.org/abs/1803.07368)],
[[bibitem](readme/demo2018shape.bib)].

* Tezzele, Demo, Gadalla, Mola, Rozza. *Model Order Reduction by means of Active Subspaces and Dynamic Mode Decomposition for Parametric Hull Shape Design Hydrodynamics*. In Technology and Science for the Ships of the Future: Proceedings of NAV 2018: 19th International Conference on Ship & Maritime Research, 2018. [[DOI](https://doi.org/10.3233/978-1-61499-870-9-569)], [[arXiv](https://arxiv.org/abs/1803.07377)].
* Tezzele, Demo, Gadalla, Mola, Rozza. *Model Order Reduction by means of Active Subspaces and Dynamic Mode Decomposition for Parametric Hull Shape Design Hydrodynamics*. In Technology and Science for the Ships of the Future: Proceedings of NAV 2018: 19th International Conference on Ship & Maritime Research, 2018. [[DOI](https://doi.org/10.3233/978-1-61499-870-9-569)], [[arXiv](https://arxiv.org/abs/1803.07377)],
[[bibitem](readme/tezzele2018model.bib)].

* Demo, Tezzele, Mola, Rozza. *An efficient shape parametrisation by free-form deformation enhanced by active subspace for hull hydrodynamic ship design problems in open source environment*. The 28th International Ocean and Polar Engineering Conference, 2018. [[arXiv](https://arxiv.org/abs/1801.06369)].
* Demo, Tezzele, Mola, Rozza. *An efficient shape parametrisation by free-form deformation enhanced by active subspace for hull hydrodynamic ship design problems in open source environment*. The 28th International Ocean and Polar Engineering Conference, 2018. [[arXiv](https://arxiv.org/abs/1801.06369)],
[[bibitem](readme/demo2018isope.bib)].

* Bergmann, Ferrero, Iollo, Lombardi, Scardigli, Telib. *A zonal Galerkin-free POD model for incompressible flows*. Journal of Computational Physics, 2018. [[DOI](https://doi.org/10.1016/j.jcp.2017.10.001)].
* Bergmann, Ferrero, Iollo, Lombardi, Scardigli, Telib. *A zonal Galerkin-free POD model for incompressible flows*. Journal of Computational Physics, 2018. [[DOI](https://doi.org/10.1016/j.jcp.2017.10.001)],
[[bibitem](readme/bergmann2018zonal.bib)].

* Salmoiraghi, Ballarin, Corsi, Mola, Tezzele, Rozza. *Advances in geometrical parametrization and reduced order models and methods for computational fluid dynamics problems in applied sciences and engineering: overview and perspectives*. ECCOMAS 2016 proceedings. [[DOI](https://doi.org/10.7712/100016.1867.8680)].
* Salmoiraghi, Ballarin, Corsi, Mola, Tezzele, Rozza. *Advances in geometrical parametrization and reduced order models and methods for computational fluid dynamics problems in applied sciences and engineering: overview and perspectives*. ECCOMAS 2016 proceedings. [[DOI](https://doi.org/10.7712/100016.1867.8680)],
[[bibitem](readme/salmoiraghi2016advances .bib)].


## Authors and contributors
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9 changes: 9 additions & 0 deletions readme/bergmann2018zonal.bib
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@article{bergmann2018zonal,
title={A zonal Galerkin-free POD model for incompressible flows},
author={Bergmann, Michel and Ferrero, Andrea and Iollo, Angelo and Lombardi, Edoardo and Scardigli, Angela and Telib, Haysam},
journal={Journal of Computational Physics},
volume={352},
pages={301--325},
year={2018},
publisher={Elsevier}
}
9 changes: 9 additions & 0 deletions readme/demo2018isope.bib
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@inproceedings{demo2018isope,
Author = {Demo, Nicola and Tezzele, Marco and Mola, Andrea and Rozza, Gianluigi},
Booktitle = {The 28th International Ocean and Polar Engineering Conference},
Date-Added = {2018-08-27 11:54:02 +0200},
Date-Modified = {2018-08-27 11:54:02 +0200},
Title = {{An efficient shape parametrisation by free-form deformation enhanced by active subspace for hull hydrodynamic ship design problems in open source environment}},
Year = {2018}}
13 changes: 13 additions & 0 deletions readme/demo2018shape.bib
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@inproceedings{demo2018shape,
Author = {Demo, Nicola and Tezzele, Marco and Gustin, Gianluca and Lavini, Gianpiero and Rozza, Gianluigi},
Booktitle = {Technology and Science for the Ships of the Future: Proceedings of NAV 2018: 19th International Conference on Ship \& Maritime Research},
Date-Added = {2018-08-27 11:54:02 +0200},
Date-Modified = {2018-08-27 11:54:02 +0200},
Doi = {10.3233/978-1-61499-870-9-212},
Pages = {212--219},
Publisher = {IOS Press},
Title = {Shape optimization by means of proper orthogonal decomposition and dynamic mode decomposition},
Year = {2018},
Bdsk-Url-1 = {https://doi.org/10.3233/978-1-61499-870-9-212}}
10 changes: 10 additions & 0 deletions readme/forti2014efficient.bib
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@article{forti2014efficient,
title={Efficient geometrical parametrisation techniques of interfaces for reduced-order modelling: application to fluid--structure interaction coupling problems},
author={Forti, Davide and Rozza, Gianluigi},
journal={International Journal of Computational Fluid Dynamics},
volume={28},
number={3-4},
pages={158--169},
year={2014},
publisher={Taylor \& Francis}
}
9 changes: 9 additions & 0 deletions readme/lombardi2012numerical.bib
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@incollection{lombardi2012numerical,
title={Numerical simulation of sailing boats: Dynamics, FSI, and shape optimization},
author={Lombardi, Matteo and Parolini, Nicola and Quarteroni, Alfio and Rozza, Gianluigi},
booktitle={Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design},
pages={339--377},
year={2012},
publisher={Springer}
}

13 changes: 13 additions & 0 deletions readme/salmoiraghi2016advances.bib
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@article{salmoiraghi2016advances,
Address = {Crete, Greece},
Author = {Salmoiraghi, F. and Ballarin, F. and Corsi, G. and Mola, A. and Tezzele, M. and Rozza, G.},
Date-Added = {2018-11-06 10:06:33 +0100},
Date-Modified = {2018-12-10 09:52:16 +0100},
Doi = {10.7712/100016.1867.8680},
Journal = {ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering},
Pages = {1013-1031},
Title = {Advances in geometrical parametrization and reduced order models and methods for computational fluid dynamics problems in applied sciences and engineering: Overview and perspectives},
Volume = {1},
Year = {2016},
Bdsk-Url-1 = {https://doi.org/10.7712/100016.1867.8680}}
10 changes: 10 additions & 0 deletions readme/salmoiraghi2018free.bib
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@article{salmoiraghi2018free,
title={Free-form deformation, mesh morphing and reduced-order methods: enablers for efficient aerodynamic shape optimisation},
author={Salmoiraghi, Filippo and Scardigli, Angela and Telib, Haysam and Rozza, Gianluigi},
journal={International Journal of Computational Fluid Dynamics},
volume={32},
number={4-5},
pages={233--247},
year={2018},
publisher={Taylor \& Francis}
}
10 changes: 10 additions & 0 deletions readme/sieger2014rbf.bib
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@article{sieger2014rbf,
title={RBF morphing techniques for simulation-based design optimization},
author={Sieger, Daniel and Menzel, Stefan and Botsch, Mario},
journal={Engineering with Computers},
volume={30},
number={2},
pages={161--174},
year={2014},
publisher={Springer}
}
9 changes: 9 additions & 0 deletions readme/sieger2015shape.bib
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@incollection{sieger2015shape,
title={On shape deformation techniques for simulation-based design optimization},
author={Sieger, Daniel and Menzel, Stefan and Botsch, Mario},
booktitle={New Challenges in Grid Generation and Adaptivity for Scientific Computing},
pages={281--303},
year={2015},
publisher={Springer}
}

13 changes: 13 additions & 0 deletions readme/tezzele2018combined.bib
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@incollection{tezzele2018combined,
Author = {Tezzele, Marco and Ballarin, Francesco and Rozza, Gianluigi},
Booktitle = {Mathematical and Numerical Modeling of the Cardiovascular System and Applications},
Date-Added = {2018-12-10 10:14:50 +0100},
Date-Modified = {2018-12-10 10:16:52 +0100},
Doi = {10.1007/978-3-319-96649-6_8},
Editor = {Boffi, Daniele and Pavarino, Luca F. and Rozza, Gianluigi and Scacchi, Simone and Vergara, Christian},
Pages = {185--207},
Publisher = {Springer International Publishing},
Title = {{Combined parameter and model reduction of cardiovascular problems by means of active subspaces and POD-Galerkin methods}},
Year = {2018},
Bdsk-Url-1 = {https://doi.org/10.1007/978-3-319-96649-6_8}}
18 changes: 18 additions & 0 deletions readme/tezzele2018dimension.bib
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@article{tezzele2018dimension,
Abstract = {We present the results of the first application in the naval architecture field of a methodology based on active subspaces properties for parameter space reduction. The physical problem considered is the one of the simulation of the hydrodynamic flow past the hull of a ship advancing in calm water. Such problem is extremely relevant at the preliminary stages of the ship design, when several flow simulations are typically carried out by the engineers to assess the dependence of the hull total resistance on the geometrical parameters of the hull, and others related with flows and hull properties. Given the high number of geometric and physical parameters which might affect the total ship drag, the main idea of this work is to employ the active subspaces properties to identify possible lower dimensional structures in the parameter space. Thus, a fully automated procedure has been implemented to produce several small shape perturbations of an original hull CAD geometry, in order to exploit the resulting shapes and to run high fidelity flow simulations with different structural and physical parameters as well, and then collect data for the active subspaces analysis. The free form deformation procedure used to morph the hull shapes, the high fidelity solver based on potential flow theory with fully nonlinear free surface treatment, and the active subspaces analysis tool employed in this work have all been developed and integrated within SISSA mathLab as open source tools. The contribution will also discuss several details of the implementation of such tools, as well as the results of their application to the selected target engineering problem.},
Author = {Tezzele, Marco and Salmoiraghi, Filippo and Mola, Andrea and Rozza, Gianluigi},
Date-Added = {2018-09-11 10:05:30 +0200},
Date-Modified = {2018-09-11 10:05:45 +0200},
Day = {10},
Doi = {10.1186/s40323-018-0118-3},
Issn = {2213-7467},
Journal = {Advanced Modeling and Simulation in Engineering Sciences},
Month = {Sep},
Number = {1},
Pages = {25},
Title = {Dimension reduction in heterogeneous parametric spaces with application to naval engineering shape design problems},
Url = {https://doi.org/10.1186/s40323-018-0118-3},
Volume = {5},
Year = {2018},
Bdsk-Url-1 = {https://doi.org/10.1186/s40323-018-0118-3}}
8 changes: 8 additions & 0 deletions readme/tezzele2018ecmi.bib
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@article{tezzele2018ecmi,
Author = {Tezzele, M. and Demo, N. and Mola, A. and Rozza, G.},
Date-Added = {2018-12-11 10:21:39 +0100},
Date-Modified = {2018-12-14 14:19:30 +0100},
Journal = {Submitted, Special Volume ECMI},
Title = {{An integrated data-driven computational pipeline with model order reduction for industrial and applied mathematics}},
Year = {2018}}
12 changes: 12 additions & 0 deletions readme/tezzele2018model.bib
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@inproceedings{tezzele2018model,
Author = {Tezzele, Marco and Demo, Nicola and Gadalla, Mahmoud and Mola, Andrea and Rozza, Gianluigi},
Booktitle = {Technology and Science for the Ships of the Future: Proceedings of NAV 2018: 19th International Conference on Ship \& Maritime Research},
Date-Added = {2018-08-27 11:54:02 +0200},
Date-Modified = {2018-08-27 11:54:02 +0200},
Doi = {10.3233/978-1-61499-870-9-569},
Pages = {569--576},
Publisher = {IOS Press},
Title = {Model order reduction by means of active subspaces and dynamic mode decomposition for parametric hull shape design hydrodynamics},
Year = {2018},
Bdsk-Url-1 = {https://doi.org/10.3233/978-1-61499-870-9-569}}

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