rundke_Zi

Script for running the DKE solver (can be modified by the user for specific simulations)
by Y.Peysson CEA-DRFC <yves.peysson@cea.fr> and Joan Decker MIT-RLE (jodecker@mit.edu)

0001 %Script for running the DKE solver (can be modified by the user for specific simulations)
0002 %by Y.Peysson CEA-DRFC <yves.peysson@cea.fr> and Joan Decker MIT-RLE (jodecker@mit.edu)
0003 %
0004 clear all
0005 clear mex
0006 clear functions
0007 close all
0008 warning off
0009 global nfig
0010 %
0011 p_opt = 2;
0012 %
0013 permission = test_permissions_yp;
0014 %
0015 if ~permission 
0016     disp('Please move the script to a local folder where you have write permission before to run it')
0017     return;
0018 end
0019 %
0020 % ***********************This part must be specified by the user, run make files if necessary) *****************************
0021 %
0022 id_simul = 'Ohm_Zi';%Simulation ID
0023 path_simul = '';%if nothing is specified, the working directory is first used and then MatLab is looking in all the path
0024 %
0025 psin_S = [];%Normalized poloidal flux grid where calculations are performed (0 < psin_S < 1) (If one value: local calculation only, not used if empty)
0026 rho_S = [0.5];%Normalized radial flux grid where calculations are performed (0 < rho_S < 1) (If one value: local calculation only, not used if empty)
0027 %
0028 id_path = '';%For all paths used by DKE solver
0029 path_path = '';%if nothing is specified, the working directory is first used and then MatLab is looking in all the path
0030 %
0031 id_equil = 'TScyl';%For plasma equilibrium
0032 path_equil = '';%if nothing is specified, the working directory is first used and then MatLab is looking in all the path
0033 %
0034 id_dkeparam = 'UNIFORM10010020';%For DKE code parameters
0035 path_dkeparam = '';%if nothing is specified, the working directory is first used and then MatLab is looking in all the path
0036 %
0037 id_display = 'NO_DISPLAY';%For output code display
0038 path_display = '';%if nothing is specified, the working directory is first used and then MatLab is looking in all the path
0039 %
0040 id_ohm = '';%For Ohmic electric contribution
0041 path_ohm = '';%if nothing is specified, the working directory is first used and then MatLab is looking in all the path
0042 %
0043 ids_wave = {''};%For RF waves contribution (put all the type of waves needed)
0044 paths_wave = {''};%if nothing is specified, the working directory is first used and then MatLab is looking in all the path
0045 %
0046 id_transpfaste = '';%For fast electron radial transport
0047 path_transpfaste = '';%if nothing is specified, the working directory is first used and then MatLab is looking in all the path
0048 %
0049 id_ripple = '';%For fast electron magnetic ripple losses
0050 path_ripple = '';%if nothing is specified, the working directory is first used and then MatLab is looking in all the path
0051 %
0052 %************************************************************************************************************************************
0053 %************************************************************************************************************************************
0054 %************************************************************************************************************************************
0055 %
0056 [dkepath,equil,dkeparam,dkedisplay,ohm,waves,transpfaste,ripple] = load_structures_yp('dkepath',id_path,path_path,'equil',id_equil,path_equil,'dkeparam',id_dkeparam,path_dkeparam,'dkedisplay',id_display,path_display,'ohm',id_ohm,path_ohm,'waves',ids_wave,paths_wave,'transpfaste',id_transpfaste,path_transpfaste,'ripple',id_ripple,path_ripple);
0057 %
0058 %************************************************************************************************************************************
0059 %
0060 if exist('dmumpsmex');dkeparam.invproc = -2;end
0061 %
0062 dkeparam.boundary_mode_f = 0;%Number of points where the Maxwellian distribution is enforced from p = 0 (p=0, free conservative mode but param_inv(1) must be less than 1e-4, otherwise 1e-3 is OK most of the time. Sensitive to the number of points in p)
0063 dkeparam.norm_mode_f = 1;%Local normalization of f0 at each iteration: (0) no, the default value when the numerical conservative scheme is correct, (1) yes
0064 dkeparam.tn = [50000,100000];% 2 time steps to tn=100000 best for asymptotic solution
0065 %
0066 dkeparam.psin_S = psin_S;
0067 dkeparam.rho_S = rho_S;
0068 %
0069 epsi = 0.001;
0070 betath = 0.01;%validated for NR limit
0071 %
0072 Zi_list = [1:20];
0073 %
0074 [qe,me,mp,mn,e0,mu0,re,mc2] = pc_dke_yp;%Universal physics constants
0075 %
0076 equil.pTe = betath^2*mc2*ones(size(equil.pTe));
0077 equil.pzTi = betath^2*mc2*ones(size(equil.pzTi));
0078 %equil.pzTi = 1e-10*ones(size(equil.pzTi));
0079 %
0080 ohm = ohm_flat(equil,epsi);
0081 %
0082 for iZi = 1:length(Zi_list),
0083     %
0084     Zi = Zi_list(iZi);
0085     equil.zZi = [1,1,1,Zi];
0086     equil.pzni = [0;0;0;1/Zi]*equil.pne;
0087     %
0088     dkeparam.coll_mode = 0;% Relativistic Maxwellian background
0089     [dummy,Zcurr] = main_dke_yp(id_simul,dkepath,equil,dkeparam,dkedisplay,ohm,waves,transpfaste,ripple,[],[]);
0090     sigma_0(iZi) = Zcurr.x_0/epsi;
0091     %
0092     dkeparam.coll_mode = 1;% High-velocity limit
0093     [dummy,Zcurr] = main_dke_yp(id_simul,dkepath,equil,dkeparam,dkedisplay,ohm,waves,transpfaste,ripple,[],[]);
0094     sigma_1(iZi) = Zcurr.x_0/epsi;
0095     %
0096     dkeparam.coll_mode = 2;% Linearized Belaiev-Budker
0097     [Znorm,Zcurr,ZP0,dke_out] = main_dke_yp(id_simul,dkepath,equil,dkeparam,dkedisplay,ohm,waves,transpfaste,ripple,[],[]);
0098     if dke_out.residu_f{end}(end) <= dkeparam.prec0_f,
0099         sigma_2(iZi) = Zcurr.x_0/epsi;
0100     else
0101         sigma_2(iZi) = NaN;
0102     end        
0103     %
0104     sigma_Lor(iZi) = sqrt(2/pi)*16./Zi;
0105     %
0106 end
0107 %
0108 sigma_Z1s = 1/100*sqrt(me*qe/10)/(1.65*mu0*e0^2);%Spitzer conductivity (from 'Tokamaks' by J. Wesson, Oxford Science Publication, 3rd Eds., 2004)
0109 %
0110 Zi_Karney = [1,2,5,10];
0111 sigma_Karney_0 = [3.773,2.824,1.660,0.998];
0112 sigma_Karney_1 = [2.837,2.310,1.489,0.938];
0113 sigma_Karney_2 = [7.429,4.377,2.078,1.133];
0114 %
0115 %************************************************************************************************************************************
0116 %
0117 format
0118 %
0119 delete res_Zi
0120 %
0121 diary res_Zi
0122 %
0123 disp(['Comparison LUKE/Karney/Spitzer - NR calculations (betath = 0.01)'])
0124 disp(['----------------------'])
0125 disp(['--> Zi = 1'])
0126 disp(['Linearized operator : sigma = ',num2str(sigma_2(1)),'/',num2str(sigma_Karney_2(1))]) 
0127 disp(['Maxwellian operator : sigma = ',num2str(sigma_0(1)),'/',num2str(sigma_Karney_0(1))]) 
0128 disp(['High-Velocity operator : sigma = ',num2str(sigma_1(1)),'/',num2str(sigma_Karney_1(1))]) 
0129 disp(['----------------------'])
0130 disp(['--> Zi = 2'])
0131 disp(['Linearized operator : sigma = ',num2str(sigma_2(2)),'/',num2str(sigma_Karney_2(2))]) 
0132 disp(['Maxwellian operator : sigma = ',num2str(sigma_0(2)),'/',num2str(sigma_Karney_0(2))]) 
0133 disp(['High-Velocity operator : sigma = ',num2str(sigma_1(2)),'/',num2str(sigma_Karney_1(2))]) 
0134 disp(['----------------------'])
0135 disp(['--> Zi = 5'])
0136 disp(['Linearized operator : sigma = ',num2str(sigma_2(5)),'/',num2str(sigma_Karney_2(3))]) 
0137 disp(['Maxwellian operator : sigma = ',num2str(sigma_0(5)),'/',num2str(sigma_Karney_0(3))]) 
0138 disp(['High-Velocity operator : sigma = ',num2str(sigma_1(5)),'/',num2str(sigma_Karney_1(3))]) 
0139 disp(['----------------------'])
0140 disp(['--> Zi = 10'])
0141 disp(['Linearized operator : sigma = ',num2str(sigma_2(10)),'/',num2str(sigma_Karney_2(4))]) 
0142 disp(['Maxwellian operator : sigma = ',num2str(sigma_0(10)),'/',num2str(sigma_Karney_0(4))]) 
0143 disp(['High-Velocity operator : sigma = ',num2str(sigma_1(10)),'/',num2str(sigma_Karney_1(4))]) 
0144 %
0145 diary off
0146 %
0147 figure(1),clf
0148 %
0149 leg = {'Linearized','High v limit','Maxwellian'};
0150 xlim = [0,max(Zi_list)];
0151 ylim = [0,8];
0152 xlab = 'Z_i';
0153 ylab = '\sigma';
0154 tit = '';
0155 siz = 20+14i;
0156 %
0157 graph1D_jd(Zi_list,sigma_2,0,0,xlab,ylab,tit,NaN,xlim,ylim,'-','none','r',2,siz,gca,0.9,0.7,0.7);
0158 graph1D_jd(Zi_list,sigma_1,0,0,'','','',NaN,xlim,ylim,'-','none','b',2,siz,gca);
0159 graph1D_jd(Zi_list,sigma_0,0,0,'','','',leg,xlim,ylim,'-','none','g',2,siz,gca);
0160 graph1D_jd(Zi_Karney,sigma_Karney_2,0,0,'','','',NaN,xlim,ylim,'none','+','r',2,siz,gca);
0161 graph1D_jd(Zi_Karney,sigma_Karney_1,0,0,'','','',NaN,xlim,ylim,'none','+','b',2,siz,gca);
0162 graph1D_jd(Zi_Karney,sigma_Karney_0,0,0,'','','',NaN,xlim,ylim,'none','+','g',2,siz,gca);
0163 graph1D_jd(Zi_list,sigma_Lor,0,0,'','','',NaN,xlim,ylim,'--','none','k',2,siz,gca);
0164 graph1D_jd(1,sigma_Z1s,0,0,'','','',NaN,xlim,ylim,'none','x','k',2,siz,gca);
0165 %
0166 set(gca,'ytick',[0:2:10])
0167 set(gca,'xtick',[0:5:max(Zi_list)])
0168 %
0169 print_jd(2,'fig_sigma_Zi','./figures',1)
0170 %
0171 %************************************************************************************************************************************
0172 %
0173 eval(['save ',path_simul,'DKE_RESULTS_',id_equil,'_',id_simul,'.mat']);
0174 info_dke_yp(2,['Data saved in ',path_simul,'DKE_RESULTS_',id_equil,'_',id_simul,'.mat']);