-
Notifications
You must be signed in to change notification settings - Fork 6
Commit
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
Merge pull request #8 from kudav/Kulla
Kulla
- Loading branch information
Showing
27 changed files
with
2,132 additions
and
1,318 deletions.
There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -1,4 +1,4 @@ | ||
function [ lines_out ] = beams3d_apply_bpert(filename_in,filename_out,fluxi0, ni,mi,varargin) | ||
function [ lines_out ] = beams3d_apply_bpert(filename_in,fluxi0, ni,mi,varargin) | ||
%beams3d_apply_bpert(filename_in,filename_out,fluxi0, ni,mi,varargin) | ||
%applies a helical perturbation to the magnetic field in filename_in and | ||
%writes the result to filename_out. Since only the magnetic field | ||
|
@@ -16,24 +16,38 @@ | |
% 'plot': Plots the helical perturbation(s) | ||
% | ||
% Usage: | ||
% beams3d_apply_bpert('beams3d_38581_3350_b3d.h5','fieldlines_38581_3350_b3d.h5',0.3,1,2); | ||
% beams3d_apply_bpert('beams3d_38581_3350_b3d.h5','fieldlines_38581_3350_b3d.h5',0.3,1,2,'lines','save','plot'); | ||
% | ||
% Created by: D. Kulla ([email protected]) | ||
% Version: 1.0 | ||
% Date: 22/11/30 | ||
|
||
lplot = 0; | ||
lsave = 0; | ||
|
||
llines=0; | ||
lvmec=0; | ||
lfieldlines=0; | ||
% Handle varargin | ||
if nargin > 5 | ||
if nargin > 4 | ||
i = 1; | ||
while i < nargin -4 | ||
while i <= numel(varargin) | ||
switch varargin{i} | ||
case 'plot' | ||
lplot=1; | ||
case 'fieldlines' | ||
lfieldlines=1; | ||
i=i+1; | ||
fieldlines_data = varargin{i}; | ||
case 'save' | ||
lsave = 1; | ||
i=i+1; | ||
filename_out = varargin{i}; | ||
case 'lines' %Calculate B_R and B_Z for fieldlines file | ||
llines=1; | ||
case 'vmec' | ||
lvmec = 1; | ||
i=i+1; | ||
vmec = varargin{i}; | ||
end | ||
i=i+1; | ||
end | ||
|
@@ -45,8 +59,31 @@ | |
r = h5read(filename_in,'/raxis'); | ||
phi = h5read(filename_in,'/phiaxis'); | ||
z = h5read(filename_in,'/zaxis'); | ||
rnorm=repmat(r,1,size(br,2),size(br,3)); | ||
% if llines | ||
% br = br.*bphi./rnorm; | ||
% bz = bz.*bphi./rnorm; | ||
% end | ||
|
||
sarr = h5read(filename_in,'/S_ARR'); | ||
uarr = h5read(filename_in,'/U_ARR'); | ||
|
||
u = zeros(size(sarr,1),size(sarr,3)); | ||
%uarr2 = zeros(size(sarr,1),size(sarr,3)); | ||
s=discretize(sarr,linspace(0,1,128)); | ||
s(isnan(s))=max(s,[],'all')+1; | ||
if lvmec | ||
disp('USING PEST ANGLE FROM VMEC') | ||
for i= 1:numel(r) | ||
for j = 1:1 | ||
for k = 1:numel(z) | ||
u(i,k)=vmec2pest(s(i,j,k),uarr(i,j,k),phi(j),vmec.lmns,vmec.xm,vmec.xn); | ||
end | ||
end | ||
end | ||
uarr=permute(repmat(u,1,1,size(uarr,2)),[1,3,2]); | ||
end | ||
|
||
rhoarr = sqrt(sarr); | ||
%[r0, phi0, z0] = meshgrid(r,phi,z); | ||
[rg, phig, zg] = ndgrid(r,phi,z); | ||
|
@@ -56,26 +93,41 @@ | |
%by = br.* sin(bphi); | ||
|
||
fluxphi = zeros(size(rhoarr)); | ||
for i = 1:numel(fluxi0) | ||
i=1; | ||
%Quadratic/analytical form: | ||
%fluxir = fluxi0(i) * (rhoarr.^2) .* (1- rhoarr).^2; | ||
%Strumberger 2008, Perturbation 2: | ||
fluxir = fluxi0(i)*(rhoarr.^2).^(2/2) .* (1-(rhoarr.^2)).^4; | ||
fluxir= fluxi0(i).*(sarr).^(2/2) .* (1-(sarr)).^4; | ||
|
||
%c1=2; | ||
%c2=4; | ||
%c3=1; | ||
%f=@(x) x.^(c1/2).*(1-x).^c2; | ||
%fluxir= fluxi0(i)*f(sarr).^c3; | ||
if lplot | ||
plot(linspace(0,1,100),.1*linspace(0,1,100).^(2/2) .* (1-linspace(0,1,100)).^4); | ||
figure | ||
x=linspace(0,1,100); | ||
plot(x,f(x)); | ||
hold on | ||
%plot(x,fluxi0(i)*(sqrt(x)).^(2/2) .* (1-sqrt(x)).^4); | ||
%plot(linspace(0,1,100),.1*linspace(0,1,100).^(2/2) .* (1-linspace(0,1,100)).^2); | ||
%plot(rhoarr,fluxir); | ||
xlabel('Rho') | ||
%plot(rhoarr,fluxir_s); | ||
xlabel('S=\rho^2') | ||
ylabel('Perturbation Amplitude'); | ||
end | ||
fluxphi = fluxphi + fluxir .* cos(mi.*uarr + ni .* phig); | ||
end | ||
%fluxphi = fluxphi + ones(size(rhoarr))*fluxi0(i); | ||
%end | ||
%fluxphi(rhoarr<0.2)=0; | ||
%fluxphi(rhoarr>0.5)=0; | ||
|
||
|
||
fluxphi(sarr>1)=0; | ||
%fluxphi(sarr>1)=0; | ||
|
||
brc = br.* fluxphi; | ||
bphic = bphi.* fluxphi; | ||
bzc = bz.* fluxphi; | ||
% brc = br.* fluxphi; | ||
% bphic = bphi.* fluxphi; | ||
% bzc = bz.* fluxphi; | ||
|
||
% %% | ||
% figure | ||
|
@@ -111,27 +163,58 @@ | |
axis equal | ||
camlight | ||
lighting phong | ||
xlabel('R') | ||
ylabel('PHI') | ||
xlabel('X') | ||
ylabel('Y') | ||
zlabel('Z') | ||
end | ||
|
||
figure | ||
contour(r,z,squeeze(fluxphi(:,1,:))') | ||
xlabel('R') | ||
ylabel('Z') | ||
ylabel('Z') | ||
% figure | ||
% contour(r,z,squeeze(fluxphi(:,2,:))') | ||
% xlabel('R') | ||
% ylabel('Z') | ||
end | ||
%% | ||
|
||
%[curlr,curlphi,curlz,cav] = curl(xg,yg,zg,br,bphi,bz); | ||
%[curlr,curlphi,curlz,cav] = curl(rg,phig,zg,br,bphi,bz); | ||
[curlr,curlphi,curlz,~] = curl(brc,bphic,bzc); | ||
curlr(isnan(curlr)|isinf(curlr)|sarr>1) = 0; | ||
curlphi(isnan(curlphi)|isinf(curlphi)|sarr>1) = 0; | ||
curlz(isnan(curlz)|isinf(curlz)|sarr>1) = 0; | ||
|
||
%Jacobsen formulation: | ||
% bx = brc .* cos(bphic); | ||
% by = brc .* sin(bphic); | ||
% [curlx,curly,curlz,~] = curl(xg,yg,zg,bx,by,bzc); | ||
% curlr = sqrt(curlx.^2+curly.^2); | ||
% curlphi= atan2(curly,curlx); | ||
% %[curlr,curlphi,curlz,~] = curl(rg,phig,zg,brc,bphic,bzc); | ||
% %[curlr,curlphi,curlz,~] = curl(brc,bphic,bzc); | ||
% curlr(isnan(curlr)|isinf(curlr)|sarr>1) = 0; | ||
% curlphi(isnan(curlphi)|isinf(curlphi)|sarr>1) = 0; | ||
% curlz(isnan(curlz)|isinf(curlz)|sarr>1) = 0; | ||
|
||
|
||
%Strumberger formulation B_pert = gradPsitilde x gradPhi | ||
dr = r(2)-r(1); | ||
dphi = phi(2)-phi(1); | ||
dz = z(2)-z(1); | ||
% lines_out.B_R = brc; | ||
% lines_out.B_Z = bzc; | ||
% lines_out.B_PHI = bphic; | ||
% lines_out.raxis = r; | ||
% lines_out.zaxis=z; | ||
% lines_out.phiaxis=phi; | ||
%[gradB, ~, ~] = calculateFieldProperties(lines_out); | ||
[dBdr, dBdphi, dBdz] = gradient(fluxphi, dr, dphi, dz); %, dr, dphi, dz | ||
gradphi=permute(repmat(gradient(phi,dphi),1,numel(r),numel(z),3),[2,1,3,4]); | ||
gradB = cat(4, dBdr, dBdphi, dBdz); % 4th dimension represents the vector components | ||
|
||
modb=sqrt(br.^2+bphi.^2+bz.^2); | ||
bpert=cross(gradB,gradphi); | ||
curlr=squeeze(bpert(:,:,:,1)); | ||
curlphi=squeeze(bpert(:,:,:,2)); | ||
curlz=squeeze(bpert(:,:,:,3)); | ||
|
||
|
||
%modb=sqrt(br.^2+bphi.^2+bz.^2); | ||
|
||
% modcurl=sqrt(curlr.^2+curlphi.^2+curlz.^2); | ||
% [~,I] = max(modcurl,[],'all'); | ||
|
@@ -142,43 +225,59 @@ | |
% figure | ||
% %quiver3(xg,yg,zg,curlr,curlphi,curlz); | ||
% %quiver3(rg,phig,zg,curlr,curlphi,curlz); | ||
% quiver(squeeze(rg(:,1,:)),squeeze(zg(:,1,:)),squeeze(curlr(:,9,:)),squeeze(curlz(:,9,:))); | ||
% quiver(squeeze(rg(:,1,:)),squeeze(zg(:,1,:)),squeeze(curlr(:,1,:)),squeeze(curlz(:,1,:))); | ||
% %pixplot(squeeze(curlphi(:,:,50))) | ||
% | ||
|
||
% pixplot(squeeze(curlr(:,:,50))./squeeze(br(:,:,50))) | ||
% caxis([-1 1]) | ||
|
||
if lplot | ||
figure | ||
subplot(1,2,1) | ||
pixplot(squeeze(modb(:,1,:))) | ||
title('Before Pert') | ||
axis equal | ||
end | ||
% if lplot | ||
% figure | ||
% subplot(1,2,1) | ||
% pixplot(squeeze(modb(:,1,:))) | ||
% title('Before Pert') | ||
% axis equal | ||
% end | ||
|
||
br = br + curlr; | ||
bphi = bphi + curlphi; | ||
bz = bz + curlz; | ||
|
||
if llines | ||
lines_out.B_R = br./bphi.*rnorm; | ||
lines_out.B_Z = bz./bphi.*rnorm; | ||
lines_out.datatype='FIELDLINES'; | ||
disp('Converted BR and BZ for FIELDLIENS!') | ||
else | ||
lines_out.B_R = br; | ||
lines_out.B_PHI = bphi; | ||
lines_out.B_Z = bz; | ||
lines_out.datatype='OTHER'; | ||
end | ||
lines_out.B_PHI = bphi; | ||
lines_out.raxis = r; | ||
lines_out.zaxis=z; | ||
lines_out.phiaxis=phi; | ||
lines_out.S_ARR=sarr; | ||
lines_out.U_ARR=uarr; | ||
lines_out.RHO_ARR=rhoarr; | ||
lines_out.fluxphi=fluxphi; | ||
|
||
lines_out.nr=numel(r); | ||
lines_out.nphi=numel(phi); | ||
lines_out.nz=numel(z); | ||
|
||
% if lplot | ||
% subplot(1,2,2) | ||
% modb=sqrt(br.^2+bphi.^2+bz.^2); | ||
% pixplot(squeeze(modb(:,1,:))) | ||
% title('After Pert') | ||
% axis equal | ||
% end | ||
|
||
if lplot | ||
subplot(1,2,2) | ||
modb=sqrt(br.^2+bphi.^2+bz.^2); | ||
pixplot(squeeze(modb(:,1,:))) | ||
title('After Pert') | ||
axis equal | ||
end | ||
|
||
if lsave | ||
%end_state= h5read(filename_in,'/end_state'); | ||
%end_state=2.*ones(size(end_state)); | ||
%rbphi = h5read(filename_out,'/B_PHI'); | ||
%if sum(size(rbphi)-size(bphi))~=0 | ||
delete_hdf5_group(filename_out,'/B_R'); | ||
|
@@ -199,8 +298,9 @@ | |
h5create(filename_out,'/nphi',1); | ||
delete_hdf5_group(filename_out,'/nz'); | ||
h5create(filename_out,'/nz',1); | ||
%delete_hdf5_group(filename_out,'/end_state'); | ||
%h5create(filename_out,'/end_state',size(end_state)); | ||
%end | ||
|
||
h5write(filename_out,'/B_R',br) | ||
h5write(filename_out,'/B_PHI',bphi) | ||
h5write(filename_out,'/B_Z',bz) | ||
|
@@ -210,13 +310,21 @@ | |
h5write(filename_out,'/nr',numel(r)) | ||
h5write(filename_out,'/nphi',numel(phi)) | ||
h5write(filename_out,'/nz',numel(z)) | ||
|
||
%h5write(filename_out,'/end_state',end_state) | ||
|
||
end | ||
|
||
|
||
if lfieldlines | ||
[R,~,Z]=fieldlines_follow(lines_out,fieldlines_data.starts,fieldlines_data.phi_extent,fieldlines_data.poinc_loc,fieldlines_data.grid_extent); | ||
figure | ||
plot(R',Z','.') | ||
end | ||
|
||
function delete_hdf5_group(filename, group_name) | ||
fid = H5F.open(filename,'H5F_ACC_RDWR','H5P_DEFAULT'); | ||
H5L.delete(fid,group_name,'H5P_DEFAULT'); | ||
H5F.close(fid); | ||
end | ||
% | ||
% function delete_hdf5_group(filename, group_name) | ||
% fid = H5F.open(filename,'H5F_ACC_RDWR','H5P_DEFAULT'); | ||
% H5L.delete(fid,group_name,'H5P_DEFAULT'); | ||
% H5F.close(fid); | ||
% end |
Oops, something went wrong.