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RIrDG_method_linear.m
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RIrDG_method_linear.m
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function [DGfinalsoln,data] = RIrDG_method_linear(DGsolution_old,data)
%Run the DG data.method for the given inputs
% Detailed explanation goes here
deltatx = data.deltav1/data.Fspeedmax*data.cfl;
deltaty = data.deltav2/data.Gspeedmax*data.cfl;
deltatz = data.deltav3/data.Hspeedmax*data.cfl;
%%{
if strcmp(data.limiter,'epslimiter')
disp('line 10 in RIrDG_method_nostore')
deltaty = data.MAXDT ;
end
%}
deltat = min([deltatx deltaty deltatz]);
Nsteps = max([10 ceil(data.Tfinal/deltat)]);%take at least 10 time steps
deltat = data.Tfinal/Nsteps;
data.nuv1 = deltat/data.deltav1;
data.nuv2 = deltat/data.deltav2;
data.nuv3 = deltat/data.deltav3;
[update,update_index,Kmax] = initialize_linear_update(data);
%maincell = update(:,:,5,2,2)
%tailcell = update(:,:,8,2,2)
%tailcellr1 = update(:,:,18,2,2)
%maincellr1 = update(:,:,13,2,2)
%save('testing','maincell','tailcell','maincellr1','tailcellr1')
switch data.r_param
case 0
%maincell_li = update(:,:,5,3,3)
%tailcell_li = update(:,:,8,3,3)
%save('testing','maincell_li','tailcell_li')
case 1
%maincell_r1 = update(:,:,13,3,3)
%tailcell_r1 = update(:,:,18,3,3)
%save('maincell_r1','tailcell_r1')
end
%{
tailcell_r1 =
-0.333333333333333
maincell_r1 =
0.416666666666667
%}
%plot_filtered_solution(DG_initialconditions,data)
if data.check_conservation
[data] = check_conservation(DGsolution_old,data);
end
%{
switch data.limiter
case 'none'
DGsolution_old = DG_initialconditions;
case 'DGlimiter'
DGsolution_old = limiter_DGlimiter(DG_initialconditions,DG_initialconditions,data);
otherwise
error('Invalid limiter selected');
end
%}
if data.makegif_conserved
[data] = plotting_makegif(DGsolution_old,0,data,0);
elseif data.plotIC
problem_plotting_IC(DGsolution_old,data)
end
%{
for iv1 = 1:length(data.v1centers)
for iv2 = 1:length(data.v2centers)
X(iv1,iv2) = data.v1centers(iv1);
Y(iv1,iv2) = data.v2centers(iv2);
quadpoint = [X(iv1,iv2) Y(iv1,iv2)];
U(iv1,iv2) = problem_F_FluxJacobian(0,quadpoint,data.appdata);
V(iv1,iv2) = problem_G_FluxJacobian(0,quadpoint,data.appdata);
end
end
figure
quiver(X,Y,U,V)
keyboard
%}
%h1 = %waitbar(0,'Running Experiment...','OuterPosition', [100 400 300 75]);
tnow = 0;
nstep = 2;
%We timestep until we have reached the final time or we cannot timestep
experiment_dt = [];
experiment_nstep = [];
experiment_time = [];
data.Time = 0;
tic;
DGsolution_new = NaN(data.theta,data.Nv1,data.Nv2,data.Nv3);
for nstep = 1:Nsteps
for iv1 = 1:data.Nv1
for iv2 = 1:data.Nv2
for iv3 = 1:data.Nv3
cell = DGsolution_old(:,iv1,iv2,iv3);
for update_k = 1:Kmax
if ~isnan(update_index(1,update_k,iv1,iv2,iv3))
iv1_tilde = update_index(1,update_k,iv1,iv2,iv3);
iv2_tilde = update_index(2,update_k,iv1,iv2,iv3);
iv3_tilde = update_index(3,update_k,iv1,iv2,iv3);
U = update(:,:,update_k,iv1,iv2,iv3);
cell = cell - U*DGsolution_old(:,iv1_tilde,iv2_tilde,iv3_tilde);
end
end
DGsolution_new(:,iv1,iv2,iv3) = cell;
end
end
end
if 0%data.filter
scalemat = diag(sqrt(1:2:(2*data.M-1)));
for ik = 1:length(DGsolution_new(1,:))
DGsoln_tilde(:,ik) = scalemat*DGsolution_new(:,ik);
end
solnfiltered = postProcess(DGsoln_tilde', data.deltav1, 10 );
quadlocs = [
-0.973906529
-0.865063367
-0.679409568
-0.433395394
-0.148874339
0.148874339
0.433395394
0.679409568
0.865063367
0.973906529];
quadwgts =[
0.066671344
0.149451349
0.219086363
0.269266719
0.295524225
0.295524225
0.269266719
0.219086363
0.149451349
0.066671344];
for iv1 = 1:data.Nv1
for ell = 1:data.theta
temp = 0;
for iq = 1:length(quadlocs)
quadpoint = quadlocs(iq);
weight = quadwgts(iq);
phiT = testfunction_phi(quadpoint,ell,data);
f = solnfiltered(iq+10*(iv1-1));
temp = temp + phiT*f*weight/2;
end
DGsolution_new(ell,iv1) = temp;
end
end
end
experiment_dt = [experiment_dt,deltat];
experiment_nstep = [experiment_nstep,nstep-1];
experiment_time = [experiment_time,tnow];
if data.check_conservation
[data] = check_conservation(DGsolution_new,data);
end
tnow = tnow + deltat;
data.Time(nstep) = tnow ;
if data.makegif_conserved
[data] = plotting_makegif(DGsolution_new,tnow,data,nstep);
elseif data.plotwhilerunning
problem_plotting_whilerunning(DGsolution_new,tnow,data)
end
DGsolution_old = DGsolution_new;
%done = tnow/data.Tfinal;
%waitbar(done, h1);
end
data.runtime = toc;
if data.verbose
disp('Experiment complete')
end
%delete(h1)
%{
font = 16;
foldername = [data.problemname '_' num2str(data.Nv1) '_M' num2str(data.M) '_r' num2str(data.r_param)];
mkdir('results/',foldername)
path = ['results/' foldername '/'];
varpath = 'timestepping';
imgname = [path varpath '.png'];
figure
set(gcf,'Color','w')
clf
hold on
semilogy(experiment_nstep,experiment_dt,'-o')
title('Step size at each time step','FontSize',font)
xlabel('Time step, n','FontSize',font)
ylabel('log timestep size, \Delta t','FontSize',font)
set(gca,'FontSize',font)%,'XTick',-1:.25:1,'YTick',-1:.25:1)
print(imgname,'-dpng')
mkdir('results/',data.problemname)
path = ['results/' foldername '/'];
varpath = 'timestepping2';
imgname = [path varpath '.png'];
figure
set(gcf,'Color','w')
clf
hold on
plot(experiment_nstep,experiment_time,'-o')
title('Time t at each time step','FontSize',font)
xlabel('Time step, n','FontSize',font)
ylabel('Time, t','FontSize',font)
%axis([0 max(experiment_nstep) 0 data.Tfinal])
set(gca,'FontSize',font)%,'XTick',-1:.25:1,'YTick',-1:.25:1)
print(imgname,'-dpng')
mkdir('results/',data.problemname)
path = ['results/' foldername '/'];
varpath = 'timestepping3';
imgname = [path varpath '.png'];
figure
set(gcf,'Color','w')
clf
hold on
semilogy(experiment_time,experiment_dt,'-o')
title('Step size vs time t','FontSize',font)
%axis([0 data.Tfinal min(experiment_dt) max(experiment_dt)])
xlabel('Time, t','FontSize',font)
ylabel('log timestep size, \Delta t','FontSize',font)
set(gca,'FontSize',font)%,'XTick',-1:.25:1,'YTick',-1:.25:1)
print(imgname,'-dpng')
%}
data.Nt = nstep-1;
DGfinalsoln = DGsolution_new;
if data.makegif_conserved
[data] = plotting_makegif(DGsolution_new,tnow,data,nstep);
elseif data.plotfinal
problem_plotting_whilerunning(DGsolution_new,tnow,data)
end
filename = ['soln_' data.problemname '_r' data.r_param '_M' num2str(data.M) '_N1' num2str(data.Nv1) '_N2' num2str(data.Nv2) '_N3' num2str(data.Nv3) '_' data.limiter '_' data.basis];
if exist(['results\' filename ],'dir')
rmdir(['results\' filename ],'s');
end
end