rundke_betath

PURPOSE ^

Script for running the DKE solver (can be modified by the user for specific simulations)

SYNOPSIS ^

This is a script file.

DESCRIPTION ^

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)

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

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 = 'LH_karney_betath';%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 wavestruct.omega_lh = [4]*2*pi*1e9; %(GHz -> rad/s). Wave frequency [1,1] Indicative, no effect in small FLR limit opt_lh > 0
0061 %Option parameter for cross-comparison between old LH code:
0062 %    - (1): 1/vpar dependence
0063 %    - (2): no 1/vpar dependence and old grid technique for Dlh calculations (Karney, Shoucri) (see rfdiff_dke_jd)
0064 wavestruct.opt_lh = 2; % [1,1]
0065 %
0066 % Choose (vparmin_lh,vparmax_lh) or (Nparmin_lh,Nparmax_lh) for square n// LH wave power spectrum,
0067 % or (Npar_lh,dNpar_lh) for Gaussian shape
0068 %
0069 wavestruct.norm_ref = 1;%Normalization procedure for the LH quasilinear diffusion coefficient and spectrum boundaries
0070 %
0071 wavestruct.yvparmin_lh = [3];%LH wave square N// Spectrum: Lower limit of the plateau (vth_ref or vth) [1,n_scenario_lh]
0072 wavestruct.yvparmax_lh = [5];%LH wave square N// Spectrum: Upper limit of the plateau (vth_ref or vth) [1,n_scenario_lh]
0073 %
0074 wavestruct.yNparmin_lh = [NaN];%LH wave square N// Spectrum: Lower limit [1,n_scenario_lh]
0075 wavestruct.yNparmax_lh = [NaN];%LH wave square N// Spectrum: Upper limit [1,n_scenario_lh]
0076 wavestruct.yNpar_lh = [NaN];%LH wave Gaussian N// Spectrum: peak [1,n_scenario_lh]
0077 wavestruct.ydNpar_lh = [NaN];%LH wave Gaussian N// Spectrum: width [1,n_scenario_lh]
0078 %
0079 %   Note: this diffusion coefficient is different from the general QL D0. It has a benchmarking purpose only
0080 wavestruct.yD0_in_c_lh = [1];%Central LH QL diffusion coefficient (nhuth_ref*pth_ref^2 or nhuth*pth^2) [1,n_scenario_lh]
0081 %
0082 wavestruct.yD0_in_lh_prof = [0];%Quasilinear diffusion coefficient radial profile: (0) uniform, (1) gaussian radial profile [1,n_scenario_lh]
0083 wavestruct.ypeak_lh = [NaN];%Radial peak position of the LH quasi-linear diffusion coefficient (r/a on midplane) [1,n_scenario_lh]
0084 wavestruct.ywidth_lh = [NaN];%Radial width of the LH quasi-linear diffusion coefficient (r/a on midplane) [1,n_scenario_lh]
0085 %
0086 wavestruct.ythetab_lh = [0]*pi/180;%(deg -> rad). Poloidal location of LH beam [0..2pi] [1,n_scenario_lh]
0087 %               (0) from local values Te and ne, (1) from central values Te0 and ne0
0088 %
0089 %************************************************************************************************************************************
0090 %
0091 if exist('dmumpsmex');dkeparam.invproc = -2;end
0092 %
0093 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)
0094 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
0095 dkeparam.tn = [50000,100000];% 2 time steps to tn=100000 best for asymptotic solution
0096 %
0097 dkeparam.np_S = 201;
0098 dkeparam.nmhu_S = 201;
0099 %
0100 dkeparam.psin_S = psin_S;
0101 dkeparam.rho_S = rho_S;
0102 %
0103 %equil.pzTi = 1e-10*ones(size(equil.pzTi));
0104 %
0105 betath_list = [logspace(-5,-2,7),logspace(-1.85,-0.35,11)];
0106 %
0107 [qe,me,mp,mn,e0,mu0,re,mc2] = pc_dke_yp;%Universal physics constants
0108 %
0109 nbetath = length(betath_list);
0110 %
0111 j_0 = NaN(1,nbetath);
0112 j_1 = NaN(1,nbetath);
0113 j_2 = NaN(1,nbetath);
0114 P_0 = NaN(1,nbetath);
0115 P_1 = NaN(1,nbetath);
0116 P_2 = NaN(1,nbetath);
0117 %
0118 for ibetath = 1:nbetath,
0119     %
0120     betath = betath_list(ibetath);
0121     %
0122     equil.pTe = betath^2*mc2*ones(size(equil.pTe));
0123     equil.pzTi = betath^2*mc2*ones(size(equil.pzTi));
0124     %
0125     waves{1} = make_idealLHwave_jd(equil,wavestruct);
0126     %
0127     dkeparam.coll_mode = 0;% Relativistic Maxwellian background
0128     [dummy,Zcurr,ZP0] = main_dke_yp(id_simul,dkepath,equil,dkeparam,dkedisplay,ohm,waves,transpfaste,ripple,[],[]);
0129     j_0(ibetath) = Zcurr.x_0;
0130     P_0(ibetath) = ZP0.x_rf_fsav;
0131     %
0132     dkeparam.coll_mode = 1;% High-velocity limit
0133     [dummy,Zcurr,ZP0] = main_dke_yp(id_simul,dkepath,equil,dkeparam,dkedisplay,ohm,waves,transpfaste,ripple,[],[]);
0134     j_1(ibetath) = Zcurr.x_0;
0135     P_1(ibetath) = ZP0.x_rf_fsav;
0136     %
0137     dkeparam.coll_mode = 2;% Linearized Belaiev-Budker
0138     [dummy,Zcurr,ZP0,dke_out] = main_dke_yp(id_simul,dkepath,equil,dkeparam,dkedisplay,ohm,waves,transpfaste,ripple,[],[]);
0139     %
0140     if dke_out.residu_f{end}(end) <= dkeparam.prec0_f,
0141         j_2(ibetath) = Zcurr.x_0;
0142         P_2(ibetath) = ZP0.x_rf_fsav;
0143     end        
0144     %
0145     %dkeparam.coll_mode = 4;% Linearized Belaiev-Budker
0146     %[Znorm,Zcurr_4,ZP0_4] = main_dke_yp(id_simul,dkepath,equil,dkeparam,dkedisplay,ohm,waves,transpfaste,ripple,[],[]);
0147     %j_4(ibetath) = Zcurr_4.x_0;
0148     %P_4(ibetath) = ZP0_4.x_rf_fsav;
0149     %
0150 end
0151 %
0152 eta_0 = j_0./P_0;
0153 eta_1 = j_1./P_1;
0154 eta_2 = j_2./P_2;
0155 %eta_4 = j_4./P_4;
0156 %
0157 j_0_nr_Karney = 0.05759;
0158 P_0_nr_Karney = 0.004012;
0159 eta_0_nr_Karney = 14.35;
0160 %
0161 j_2_nr_Karney = 0.07092;
0162 P_2_nr_Karney = 0.004294;
0163 eta_2_nr_Karney = 16.52;
0164 %
0165 %************************************************************************************************************************************
0166 %
0167 figure(1),clf
0168 %
0169 %leg = {'Linearized','High v limit','Maxwellian NR','Maxwellian'};
0170 leg = {'Linearized','High v limit','Maxwellian'};
0171 xlim = 10.^[-5,0];
0172 ylim = [0,0.1];
0173 xlab = '\beta_T';
0174 ylab = 'j';
0175 tit = '';
0176 siz = 20+14i;
0177 %
0178 graph1D_jd(betath_list,j_2,1,0,xlab,ylab,tit,NaN,xlim,ylim,'-','none','r',2,siz,gca,0.9,0.7,0.7);
0179 graph1D_jd(betath_list,j_1,1,0,'','','',NaN,xlim,ylim,'-','none','b',2,siz,gca);
0180 %graph1D_jd(betath_list,j_4,1,0,'','','',NaN,xlim,ylim,'-','none','m',2,siz,gca);
0181 graph1D_jd(betath_list,j_0,1,0,'','','',leg,xlim,ylim,'-','none','g',2,siz,gca);
0182 graph1D_jd(xlim,[j_2_nr_Karney,j_2_nr_Karney],0,0,'','','',NaN,xlim,ylim,'--','none','r',2,siz,gca);
0183 graph1D_jd(xlim,[j_0_nr_Karney,j_0_nr_Karney],0,0,'','','',NaN,xlim,ylim,'--','none','m',2,siz,gca);
0184 %
0185 set(gca,'ytick',[0:0.2:1]*ylim(2))
0186 set(gca,'xtick',[1e-05 0.0001 0.001 0.01 0.1 1])
0187 %set(gca,'XTickLabel',{'10^{-5}','10^{-4}','10^{-3}','10^{-2}','10^{-1}','1'})
0188 set(gca,'XMinorGrid','off')
0189 set(gca,'XMinorTick','on')
0190 %
0191 figure(2),clf
0192 %
0193 ylim = [0,0.005];
0194 ylab = 'P';
0195 %
0196 graph1D_jd(betath_list,P_2,1,0,xlab,ylab,tit,NaN,xlim,ylim,'-','none','r',2,siz,gca,0.9,0.7,0.7);
0197 graph1D_jd(betath_list,P_1,1,0,'','','',NaN,xlim,ylim,'-','none','b',2,siz,gca);
0198 %graph1D_jd(betath_list,P_4,1,0,'','','',NaN,xlim,ylim,'-','none','m',2,siz,gca);
0199 graph1D_jd(betath_list,P_0,1,0,'','','',leg,xlim,ylim,'-','none','g',2,siz,gca);
0200 graph1D_jd(xlim,[P_2_nr_Karney,P_2_nr_Karney],0,0,'','','',NaN,xlim,ylim,'--','none','r',2,siz,gca);
0201 graph1D_jd(xlim,[P_0_nr_Karney,P_0_nr_Karney],0,0,'','','',NaN,xlim,ylim,'--','none','m',2,siz,gca);
0202 %
0203 set(gca,'ytick',[0:0.2:1]*ylim(2))
0204 set(gca,'xtick',[1e-05 0.0001 0.001 0.01 0.1 1])
0205 %set(gca,'XTickLabel',{'10^{-5}','10^{-4}','10^{-3}','10^{-2}','10^{-1}','1'})
0206 set(gca,'XMinorGrid','off')
0207 set(gca,'XMinorTick','on')
0208 %
0209 figure(3),clf
0210 %
0211 ylim = [0,20];
0212 ylab = 'j/P';
0213 %
0214 graph1D_jd(betath_list,eta_2,1,0,xlab,ylab,tit,NaN,xlim,ylim,'-','none','r',2,siz,gca,0.9,0.7,0.7);
0215 graph1D_jd(betath_list,eta_1,1,0,'','','',NaN,xlim,ylim,'-','none','b',2,siz,gca);
0216 %graph1D_jd(betath_list,eta_4,1,0,'','','',NaN,xlim,ylim,'-','none','m',2,siz,gca);
0217 graph1D_jd(betath_list,eta_0,1,0,'','','',leg,xlim,ylim,'-','none','g',2,siz,gca);
0218 graph1D_jd(xlim,[eta_2_nr_Karney,eta_2_nr_Karney],0,0,'','','',NaN,xlim,ylim,'--','none','r',2,siz,gca);
0219 graph1D_jd(xlim,[eta_0_nr_Karney,eta_0_nr_Karney],0,0,'','','',NaN,xlim,ylim,'--','none','m',2,siz,gca);
0220 %
0221 set(gca,'ytick',[0:0.2:1]*ylim(2))
0222 set(gca,'xtick',[1e-05 0.0001 0.001 0.01 0.1 1])
0223 %set(gca,'XTickLabel',{'10^{-5}','10^{-4}','10^{-3}','10^{-2}','10^{-1}','1'})
0224 set(gca,'XMinorGrid','off')
0225 set(gca,'XMinorTick','on')
0226 %
0227 print_jd(p_opt,'fig_j_betath','./figures',1)
0228 print_jd(p_opt,'fig_P_betath','./figures',2)
0229 print_jd(p_opt,'fig_eta_betath','./figures',3)
0230 %
0231 %************************************************************************************************************************************
0232 %
0233 eval(['save ',path_simul,'DKE_RESULTS_',id_equil,'_',id_simul,'.mat']);
0234 info_dke_yp(2,['Data saved in ',path_simul,'DKE_RESULTS_',id_equil,'_',id_simul,'.mat']);

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