SolutionInstance TubeLF::Integrate(d dt) {
// Integrate using Lax-Friedrich method
d t=sol.getTime();
d newt = t + dt;
// Define new solutioninstance
SolutionInstance newsol(gp);
newsol.setTime(newt);
const vd& oldrho=sol.rho();
const vd& oldm=sol.m();
const vd& oldrhoE=sol.rhoE();
vd& rho=newsol.rho_ref();
vd& m=newsol.m_ref();
vd& rhoE=newsol.rhoE_ref();
// Fluxes from previous solution
vd Cflux=sol.Cflux();
vd Mflux=sol.Mflux();
vd Eflux=sol.Eflux();
{ // Left boundary
d la = dt/dx;
rho(0) = oldrho(0);
rho(0)+=-la*(Cflux(1)-Cflux(0));
d oldu0=oldm(0)/oldrho(0);
// std::cout << "oldu:"<< oldu0 << std::endl;
d momfluxl = pow(oldm(0), 2)/oldrho(0) + pleft(t);
m(0) = oldm(0);
m(0)+=-la*(Mflux(1)-momfluxl);
rhoE(0) = oldrhoE(0);
rhoE(0)+=-la*(Eflux(1)-Eflux(0));
} // End left boundary
{ // Inner nodes
d lambda = dt/(2*dx);
rho.subvec(1,gp-2)=0.5*(oldrho.head(gp-2) + oldrho.tail(gp-2));
rho.subvec(1,gp-2)+=-lambda*(Cflux.tail(gp-2) -Cflux.head(gp-2));
m.subvec(1,gp-2)=0.5*(oldm.head(gp-2) + oldm.tail(gp-2));
m.subvec(1,gp-2)+=-lambda*(Mflux.tail(gp-2) -Mflux.head(gp-2));
rhoE.subvec(1,gp-2)=0.5*(oldrhoE.head(gp-2) + oldrhoE.tail(gp-2));
rhoE.subvec(1,gp-2)+=-lambda*(Eflux.tail(gp-2) -Eflux.head(gp-2));
} // End inner nodes
{ // Right boundary
int i = gp - 1;
d la = dt/dx;
rho(i) = oldrho(i);
rho(i)+=-la*(0-Cflux(i-1));
m(i) = 0;
rhoE(i) = oldrhoE(i);
rhoE(i)+=-la*(0-Eflux(i-1));
} // End right boundary
return newsol;
}
SolutionInstance TubeMCM::Integrate(d dt){ // Integrate using
// MacCormack method
d t=sol.getTime();
d newt=t+dt;
d lambda=dt/dx;
SolutionInstance predictor(gp);
{ // Predictor step
const vd& oldrho=sol.rho();
const vd& oldm=sol.m();
const vd& oldrhoE=sol.rhoE();
vd& prho=predictor.rho_ref();
vd& pm=predictor.m_ref();
vd& prhoE=predictor.rhoE_ref();
// Fluxes from previous solution
vd Cflux=sol.Cflux();
vd Mflux=sol.Mflux();
vd Eflux=sol.Eflux();
// Density
prho.tail(gp-1)=oldrho.tail(gp-1)
-lambda*(Cflux.tail(gp-1)-Cflux.head(gp-1));
// The first element
prho(0)=oldrho(0)-lambda*(Cflux(1)-Cflux(0));
// Momentum
d oldu0=oldm(0)/oldrho(0);
d momfluxl = pow(oldm(0), 2)/oldrho(0) + pleft(t);
pm.tail(gp-1)=oldm.tail(gp-1)
-lambda*(Mflux.tail(gp-1)-Mflux.head(gp-1));
// The first element
pm(0)=oldm(0)-lambda*(Mflux(1)-momfluxl);
pm(gp-1)=0;
// Energy
prhoE.tail(gp-1)=oldrhoE.tail(gp-1)
-lambda*(Eflux.tail(gp-1)-Eflux.head(gp-1));
// The first element
prhoE(0)=oldrhoE(0)-lambda*(Eflux(1)-Eflux(0));
}
SolutionInstance corrector(gp);
// Temp test hack:
corrector=predictor;
corrector.setTime(newt);
return corrector;
} // Integrate(dt)
void DrawTriangle(QPainter *p,pigalePaint *paint)
{TopologicalGraph G(paint->GCP);
Prop1<Tpoint> pmin(G.Set(),PROP_POINT_MIN);
Prop1<Tpoint> pmax(G.Set(),PROP_POINT_MAX);
Prop<Tpoint> pleft(G.Set(tvertex()),PROP_DRAW_POINT_1);
Prop<Tpoint> pright(G.Set(tvertex()),PROP_DRAW_POINT_2);
Prop<Tpoint> ptop(G.Set(tvertex()),PROP_DRAW_POINT_3);
Prop<short> vcolor(G.Set(tvertex()),PROP_COLOR);
p->setFont(QFont("sans",Min((int)(Min(paint->xscale,paint->yscale) + .5),13)));
for(tvertex iv = 1; iv <= G.nv();iv++)
{paint->DrawTriangle(p,pleft[iv],pright[iv],ptop[iv],vcolor[iv]);
Tpoint center = (pleft[iv]+pright[iv]+ptop[iv])/3.;
paint->DrawText(p,center,iv,vcolor[iv],1);
}
}
