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advance.cpp
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advance.cpp
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#include "advance.h"
#include "getvn.h"
#include "tryvn.h"
#include "global.h"
using namespace std;
//u is surface, update u with temp
void advance(double ***u, PBData &pb, MarchStruct &march, TempStruct &tmp,
GridData &grid)
{
int i, tindex[grid.dim];
double ***temp = setfourd(tmp.fourd,tmp.fdstatus,tmp.Nfd,grid);
if (!globrk)
{
if (!globexactmotion && !globexactvn)//not exact motion and vn
getRHS(temp,u,pb,march,tmp,grid);
else if (globexactmotion && !globexactvn)
getRHShyp(temp,u,pb,march,tmp,grid);
else if (globexactvn)
getRHSexactvn(temp,u,pb,march,tmp,grid);
for (i = 0; i < grid.dim; i++)
tindex[i] = 0;
while (tindex[0] <= grid.nx[0])
{
setvalarray(u,tindex,evalarray(u,tindex)+grid.dt*evalarray(temp,tindex));
(tindex[grid.dim-1])++;
for (i = grid.dim-1; i > 0 && tindex[i] > grid.nx[i]; i--)
{
tindex[i] = 0;
(tindex[i-1])++;
}
}
grid.t += grid.dt;
grid.radius = getexactradius(grid.t,grid.radius0,grid.radius,1.0e-14,100,grid);
}
else
{
double tempr, tempt, tempdt;
if (!globexactmotion && !globexactvn)
getRHS(temp,u,pb,march,tmp,grid);
else if (globexactmotion && !globexactvn)
getRHShyp(temp,u,pb,march,tmp,grid);
else if (globexactvn)
getRHSexactvn(temp,u,pb,march,tmp,grid);
for (i = 0; i < grid.dim; i++)
tindex[i] = 0;
while (tindex[0] <= grid.nx[0])
{
setvalarray(temp,tindex,evalarray(u,tindex)+
grid.dt*evalarray(temp,tindex));
(tindex[grid.dim-1])++;
for (i = grid.dim-1; i > 0 && tindex[i] > grid.nx[i]; i--)
{
tindex[i] = 0;
(tindex[i-1])++;
}
}
if (globperturb == 0)
perturb(temp,grid.tol,pb,grid);
else if (globperturb > 0)
perturbstatus(temp,grid.tol,globperturb,pb,grid);
cout << "max vn error = " << grid.maxvn << endl;
//delta2d << grid.t << " " << grid.maxvn << endl;
double ***temp2 = setfourd(tmp.fourd,tmp.fdstatus,tmp.Nfd,grid);
tempt = grid.t;
tempr = grid.radius;
tempdt = grid.dt;
grid.t += grid.dt;
grid.radius = getexactradius(grid.t,grid.radius0,grid.radius,1.0e-14,100,grid);
if (!globexactmotion && !globexactvn)
getRHS(temp2,temp,pb,march,tmp,grid);
else if (globexactmotion && !globexactvn)
getRHShyp(temp2,temp,pb,march,tmp,grid);
else if (globexactvn)
getRHSexactvn(temp2,temp,pb,march,tmp,grid);
// grid.t = tempt;
// grid.radius = tempr;
grid.dt = tempdt;
cout << " actually using in 2nd step dt = " << grid.dt << endl;
for (i = 0; i < grid.dim; i++)
tindex[i] = 0;
while (tindex[0] <= grid.nx[0])
{
setvalarray(u,tindex,0.5*evalarray(u,tindex)+0.5*evalarray(temp,tindex)+
0.5*grid.dt*evalarray(temp2,tindex));
(tindex[grid.dim-1])++;
for (i = grid.dim-1; i > 0 && tindex[i] > grid.nx[i]; i--)
{
tindex[i] = 0;
(tindex[i-1])++;
}
}
removefourd(temp2,tmp.fourd,tmp.fdstatus,tmp.Nfd);
}
removefourd(temp,tmp.fourd,tmp.fdstatus,tmp.Nfd);
}
// with a
void advance(double ***u, double ***a, PBData &pb, MarchStruct &march, TempStruct &tmp,
GridData &grid)
{
int i, tindex[grid.dim];
double ***temp = setfourd(tmp.fourd,tmp.fdstatus,tmp.Nfd,grid);
if (!globrk)
{
if (!globexactmotion && !globexactvn)
getRHS(temp,u,a,pb,march,tmp,grid);
else if (globexactmotion && !globexactvn)
getRHShyp(temp,u,pb,march,tmp,grid);
else if (globexactvn)
getRHSexactvn(temp,u,pb,march,tmp,grid);
for (i = 0; i < grid.dim; i++)
tindex[i] = 0;
while (tindex[0] <= grid.nx[0])
{
setvalarray(u,tindex,evalarray(u,tindex)+grid.dt*evalarray(temp,tindex));
(tindex[grid.dim-1])++;
for (i = grid.dim-1; i > 0 && tindex[i] > grid.nx[i]; i--)
{
tindex[i] = 0;
(tindex[i-1])++;
}
}
grid.t += grid.dt;
grid.radius = getexactradius(grid.t,grid.radius0,grid.radius,1.0e-14,100,grid);
}
else
{
double tempr, tempt, tempdt;
if (!globexactmotion && !globexactvn)
getRHS(temp,u,pb,march,tmp,grid);
else if (globexactmotion && !globexactvn)
getRHShyp(temp,u,pb,march,tmp,grid);
else if (globexactvn)
getRHSexactvn(temp,u,pb,march,tmp,grid);
for (i = 0; i < grid.dim; i++)
tindex[i] = 0;
while (tindex[0] <= grid.nx[0])
{
setvalarray(temp,tindex,evalarray(u,tindex)+
grid.dt*evalarray(temp,tindex));
(tindex[grid.dim-1])++;
for (i = grid.dim-1; i > 0 && tindex[i] > grid.nx[i]; i--)
{
tindex[i] = 0;
(tindex[i-1])++;
}
}
if (globperturb == 0)
perturb(temp,grid.tol,pb,grid);
else if (globperturb > 0)
perturbstatus(temp,grid.tol,globperturb,pb,grid);
cout << "max vn error = " << grid.maxvn << endl;
//delta2d << grid.t << " " << grid.maxvn << endl;
double ***temp2 = setfourd(tmp.fourd,tmp.fdstatus,tmp.Nfd,grid);
tempt = grid.t;
tempr = grid.radius;
tempdt = grid.dt;
grid.t += grid.dt;
grid.radius = getexactradius(grid.t,grid.radius0,grid.radius,1.0e-14,100,grid);
if (!globexactmotion && !globexactvn)
getRHS(temp2,temp,pb,march,tmp,grid);
else if (globexactmotion && !globexactvn)
getRHShyp(temp2,temp,pb,march,tmp,grid);
else if (globexactvn)
getRHSexactvn(temp2,temp,pb,march,tmp,grid);
// grid.t = tempt;
// grid.radius = tempr;
grid.dt = tempdt;
cout << " actually using in 2nd step dt = " << grid.dt << endl;
for (i = 0; i < grid.dim; i++)
tindex[i] = 0;
while (tindex[0] <= grid.nx[0])
{
setvalarray(u,tindex,0.5*evalarray(u,tindex)+0.5*evalarray(temp,tindex)+
0.5*grid.dt*evalarray(temp2,tindex));
(tindex[grid.dim-1])++;
for (i = grid.dim-1; i > 0 && tindex[i] > grid.nx[i]; i--)
{
tindex[i] = 0;
(tindex[i-1])++;
}
}
removefourd(temp2,tmp.fourd,tmp.fdstatus,tmp.Nfd);
}
removefourd(temp,tmp.fourd,tmp.fdstatus,tmp.Nfd);
}
//u is extended velocity, one euler step of du/dt = laplacian(u), u(t+1) = u(t) + dt(uxx+uyy+uzz)
void advanceheat(double ***u, TempStruct &tmp, GridData &grid)
{
int i, r, s, tindex[grid.dim], rindex[grid.dim];
double deriv;
double dtheat = grid.mindx*grid.mindx/(2.0*grid.dim); //dt = dx^2/(2*dim)/2
double ***temp = setfourd(tmp.fourd,tmp.fdstatus,tmp.Nfd,grid);
for (i = 0; i < grid.dim; i++)
tindex[i] = 0;
while (tindex[0] <= grid.nx[0])
{
setvalarray(temp,tindex,0.0);
for (r = 0; r < grid.dim; r++)
rindex[r] = tindex[r];
for (r = 0; r < grid.dim; r++)
{
deriv = 0.0;
for (s = -1; s <= 1; s += 2)
{
rindex[r] = tindex[r]+s;
if (rindex[r] >= 0 && rindex[r] <= grid.nx[r])
deriv += evalarray(u,rindex);
else
deriv += evalarray(u,tindex); //treat boundary as current, von Neumann BC, gradient = 0
}
rindex[r] = tindex[r];
deriv += -2.0*evalarray(u,rindex);
deriv /= grid.dx[r]*grid.dx[r]; //deriv is second derivative by central differencing
setvalarray(temp,tindex,evalarray(temp,tindex)+deriv);
}
(tindex[grid.dim-1])++;
for (i = grid.dim-1; i > 0 && tindex[i] > grid.nx[i]; i--)
{
tindex[i] = 0;
(tindex[i-1])++;
}
}
for (i = 0; i < grid.dim; i++)
tindex[i] = 0;
while (tindex[0] <= grid.nx[0])
{
setvalarray(u,tindex,evalarray(u,tindex)+dtheat*evalarray(temp,tindex));
(tindex[grid.dim-1])++;
for (i = grid.dim-1; i > 0 && tindex[i] > grid.nx[i]; i--)
{
tindex[i] = 0;
(tindex[i-1])++;
}
}
cout<<"heatsmooth with dt = " <<dtheat<<endl;
removefourd(temp,tmp.fourd,tmp.fdstatus,tmp.Nfd);
}
//u is extended velocity, solve du/dt = laplacian(u) unitl finaltime, u(t+1) = u(t) + dt(uxx+uyy+uzz)
void advanceheat(double ***u, double finaltime, TempStruct &tmp, GridData &grid)
{
int i, r, s, tindex[grid.dim], rindex[grid.dim];
double deriv, dtheat, thetime;
double ***temp = setfourd(tmp.fourd,tmp.fdstatus,tmp.Nfd,grid);
thetime = 0.0;
while (thetime < finaltime)
{
dtheat = grid.mindx*grid.mindx/(2.0*grid.dim);
if (thetime+dtheat > finaltime)
dtheat = finaltime-thetime;
for (i = 0; i < grid.dim; i++)
tindex[i] = 0;
while (tindex[0] <= grid.nx[0])
{
setvalarray(temp,tindex,0.0);
for (r = 0; r < grid.dim; r++)
rindex[r] = tindex[r];
for (r = 0; r < grid.dim; r++)
{
deriv = 0.0;
for (s = -1; s <= 1; s += 2)
{
rindex[r] = tindex[r]+s;
if (rindex[r] >= 0 && rindex[r] <= grid.nx[r])
deriv += evalarray(u,rindex);
else
deriv += evalarray(u,tindex);
}
rindex[r] = tindex[r];
deriv += -2.0*evalarray(u,rindex);
deriv /= grid.dx[r]*grid.dx[r];
setvalarray(temp,tindex,evalarray(temp,tindex)+deriv);
}
(tindex[grid.dim-1])++;
for (i = grid.dim-1; i > 0 && tindex[i] > grid.nx[i]; i--)
{
tindex[i] = 0;
(tindex[i-1])++;
}
}
for (i = 0; i < grid.dim; i++)
tindex[i] = 0;
while (tindex[0] <= grid.nx[0])
{
setvalarray(u,tindex,evalarray(u,tindex)+dtheat*evalarray(temp,tindex));
(tindex[grid.dim-1])++;
for (i = grid.dim-1; i > 0 && tindex[i] > grid.nx[i]; i--)
{
tindex[i] = 0;
(tindex[i-1])++;
}
}
cout<<"heatsmooth with dt = " <<dtheat<<endl;
thetime += dtheat;
}
removefourd(temp,tmp.fourd,tmp.fdstatus,tmp.Nfd);
}