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NSI3d-carac-mumps.edp
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NSI3d-carac-mumps.edp
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// run with MPI: ff-mpirun -np 4 script.edp
// NBPROC 4
load "msh3"
load "MUMPS_mpi"
////////////////////
// parameters
real ttgv=1e30;
//string ssparams="nprow=1, npcol="+mpisize;
////////////////////
real nu=0.01,dt=0.3;
real alpha=1./dt,alpha2=sqrt(alpha);
int nn=7;
mesh Th2=square(nn,nn);
fespace Vh2(Th2,P2);
Vh2 ux,uz,p2;
int[int] rup=[0,2], rdown=[0,1], rmid=[1,1,2,1,3,1,4,1];
real zmin=0,zmax=1;
mesh3 Th=buildlayers(Th2,nn,
zbound=[zmin,zmax],
// region=r1,
labelmid=rmid,
reffaceup = rup,
reffacelow = rdown);
fespace VVh(Th,[P23d,P23d,P23d,P13d]);
fespace Vh(Th,P23d);
fespace Ph(Th,P13d);
macro Grad(u) [dx(u),dy(u),dz(u)]// EOM
macro div(u1,u2,u3) (dx(u1)+dy(u2)+dz(u3)) //EOM
cout << "initilisation" << endl;
real t1,t2,t3,t4;
t1=clock();
varf vStokes([u1,u2,u3,p],[v1,v2,v3,q]) =
int3d(Th,qforder=3)( Grad(u1)'*Grad(v1) + Grad(u2)'*Grad(v2) + Grad(u3)'*Grad(v3) //' for emacs
- div(u1,u2,u3)*q - div(v1,v2,v3)*p + 1e-10*q*p )
+ on(2,u1=1.,u2=0,u3=0)
+ on(1,u1=0,u2=0,u3=0)
;
matrix A=vStokes( VVh, VVh, tgv=ttgv );
t1=clock()-t1;
t4=clock();
set(A,solver=sparsesolver );
t4=clock()-t4;
t2=clock();
real[int] b= vStokes(0,VVh);
t2=clock()-t2;
VVh [u1,u2,u3,p];
VVh [X1,X2,X3,Xp];
VVh [x1,x2,x3,xp]=[x,y,z,0];
t3=clock();
u1[]= A^-1 * b;
t3=clock()-t3;
ux= u1(x,0.5,y);
uz= u3(x,0.5,y);
p2= p(x,0.5,y);
plot([ux,uz],p2,cmm=" cut y = 0.5",wait=1);
macro XX1() (x-u1*dt)//
macro XX2() (y-u2*dt)//
macro XX3() (z-u3*dt)//
varf vNS([uu1,uu2,uu3,p],[v1,v2,v3,q]) =
int3d(Th)( alpha*(uu1*v1+uu2*v2+uu3*v3) + nu*(Grad(uu1)'*Grad(v1) + Grad(uu2)'*Grad(v2) + Grad(uu3)'*Grad(v3)) //' for emacs
- div(uu1,uu2,uu3)*q - div(v1,v2,v3)*p + 1e-10*q*p )
+ on(2,uu1=1,uu2=0,uu3=0)
+ on(1,uu1=0,uu2=0,uu3=0)
+ int3d(Th,optimize=1,qforder=4)( alpha*( convect([u1,u2,u3],-dt,u1)*v1 + convect([u1,u2,u3],-dt,u2)*v2 + convect([u1,u2,u3],-dt,u3)*v3 ) ) ;
// + int3d(Th,optimize=1)( alpha*( u1(X1,X2,X3)*v1 + u2(X1,X2,X3)*v2 + u3(X1,X2,X3)*v3 ) ) ;
// + int3d(Th,optimize=1)( alpha*( u1(XX1,XX2,XX3)*v1 + u2(XX1,XX2,XX3)*v2 + u3(XX1,XX2,XX3)*v3 ) ) ;
//+ int3d(Th,optimize=1)( alpha*( u1(x,y,z)*v1 + u2(x,y,z)*v2 + u3(x,y,z)*v3 ) ) ;
//+ int3d(Th,optimize=1)( alpha*( u1*v1 + u2*v2 + u3*v3 ) ) ;
real time1,time2=0.,time3=0.,time4,time5;
time1=clock();
A = vNS( VVh, VVh, tgv=ttgv);
time1=clock()-time1;
time5=clock();
set(A,solver=sparsesolver,verb=1);
time5=clock()-time5;
time4=clock();
real t=0;
int nbtemps=5;
for(int i=0;i<nbtemps;++i)
{
real time2tmp,time3tmp;
t += dt;
cout << " iteration " << i << " t = " << t << endl;
X1[]=x1[]+u1[]*(-dt);
// verbosity=1000;
time2tmp=clock();
b=vNS(0,VVh);
time2=time2+(clock()-time2tmp);
time3tmp=clock();
u1[]= A^-1 * b;
time3=time3+(clock()-time3tmp);
ux= u1(x,0.5,y);
uz= u3(x,0.5,y);
p2= p(x,0.5,y);
plot([ux,uz],p2,cmm=" cut y = 0.5, time ="+t,wait=0);
if(i%5==6)
{
//exec("mkdir dd");
string prefu="dd/pastix-nn-"+nn+"+u-"+(100+i);
string prefp="dd/pastix-nn-"+nn+"p-"+(100+i);
savemesh(Th,prefu+".mesh");
savemesh(Th,prefp+".mesh");
ofstream file(prefu+".bb");
ofstream filep(prefp+".bb");
Ph up1=u1,up2=u2,up3=u3,pp=p;
file << "3 1 3 "<< up1[].n << " 2 \n";
filep << "3 1 1 "<< pp[].n << " 2 \n";
for (int j=0;j<up1[].n ; j++)
{
file << up1[][j] <<" " <<up2[][j] <<" "<< up3[][j] <<"\n";
filep << pp[][j] << endl;
}
}
}
time4=clock()-time4;
//plot([ux,uz],p2,cmm=" cut y = 0.5, time ="+t,wait=1);
cout << "============ CPU TIME ==========================" << endl;
cout << "= Intialisation Stokes ::: =" << endl;
cout << "= matrix =" << t1<< endl;
cout << "= Factorization =" << t4 << endl;
cout << "= second member =" << t2 << endl;
cout << "= solving =" << t3<< endl;
cout << "= all =" << t1+t2+t3+t4 << endl;
cout << "============ CPU TIME ==========================" << endl;
cout << "= Navier Stokes ::: =" << endl;
cout << "= matrix =" << time1<< endl;
cout << "= Factorization =" << time5 << endl;
cout << "= second member by step (dt) =" << time2/nbtemps << endl;
cout << "= solving by step (dt) =" << time3/nbtemps<< endl;
cout << "= all step solving =" << time4 << endl;
cout << "= solving Navier Stokes =" << time1+time2+time3+time4+time5 << endl;
cout << "============ CPU TIME ==========================" << endl;