PetscErrorCode SetInitialGuess(Vec X,AppCtx *user)
{
PetscErrorCode ierr;
PetscInt n,i;
PetscScalar *xx,*cv_p,*ci_p,*wv_p,*wi_p;
PetscViewer view;
PetscScalar initv = .00069;
PetscFunctionBeginUser;
ierr = PetscViewerBinaryOpen(PETSC_COMM_WORLD,"file_initial",FILE_MODE_WRITE,&view);CHKERRQ(ierr);
ierr = VecGetLocalSize(X,&n);CHKERRQ(ierr);
ierr = VecSet(user->cv,initv);CHKERRQ(ierr);
ierr = VecSet(user->ci,initv);CHKERRQ(ierr);
ierr = VecSet(user->eta,0.0);CHKERRQ(ierr);
ierr = DPsi(user);CHKERRQ(ierr);
ierr = VecCopy(user->DPsiv,user->wv);CHKERRQ(ierr);
ierr = VecCopy(user->DPsii,user->wi);CHKERRQ(ierr);
ierr = VecGetArray(X,&xx);CHKERRQ(ierr);
ierr = VecGetArray(user->cv,&cv_p);CHKERRQ(ierr);
ierr = VecGetArray(user->ci,&ci_p);CHKERRQ(ierr);
ierr = VecGetArray(user->wv,&wv_p);CHKERRQ(ierr);
ierr = VecGetArray(user->wi,&wi_p);CHKERRQ(ierr);
for (i=0; i<n/5; i++) {
xx[5*i] =wv_p[i];
xx[5*i+1]=cv_p[i];
xx[5*i+2]=wi_p[i];
xx[5*i+3]=ci_p[i];
xx[5*i+4]=0.0;
}
ierr = VecView(user->wv,view);CHKERRQ(ierr);
ierr = VecView(user->cv,view);CHKERRQ(ierr);
ierr = VecView(user->wi,view);CHKERRQ(ierr);
ierr = VecView(user->ci,view);CHKERRQ(ierr);
ierr = PetscViewerDestroy(&view);CHKERRQ(ierr);
ierr = VecRestoreArray(X,&xx);CHKERRQ(ierr);
ierr = VecRestoreArray(user->cv,&cv_p);CHKERRQ(ierr);
ierr = VecRestoreArray(user->ci,&ci_p);CHKERRQ(ierr);
ierr = VecRestoreArray(user->wv,&wv_p);CHKERRQ(ierr);
ierr = VecRestoreArray(user->wi,&wi_p);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
PetscErrorCode SetInitialGuess(Vec X,AppCtx *user)
{
PetscErrorCode ierr;
PetscInt n,i,Mda;
PetscScalar *xx,*cv_p,*wv_p,*eta_p;
PetscViewer view_out;
/* needed for the void growth case */
PetscScalar xmid,cv_v=1.0,cv_m=user->Sv*user->cv0,eta_v=1.0,eta_m=0.0,h,lambda;
PetscInt nele,nen,idx[2];
const PetscInt *ele;
PetscScalar x[2];
Vec coords;
const PetscScalar *_coords;
PetscScalar xwidth = user->xmax - user->xmin;
PetscFunctionBeginUser;
ierr = VecGetLocalSize(X,&n);CHKERRQ(ierr);
ierr = DMDAGetInfo(user->da2,NULL,&Mda,NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL);CHKERRQ(ierr);
ierr = DMGetCoordinatesLocal(user->da2,&coords);CHKERRQ(ierr);
ierr = VecGetArrayRead(coords,&_coords);CHKERRQ(ierr);
if (user->periodic) h = (user->xmax-user->xmin)/Mda;
else h = (user->xmax-user->xmin)/(Mda-1.0);
xmid = (user->xmax + user->xmin)/2.0;
lambda = 4.0*h;
ierr = DMDAGetElements(user->da2,&nele,&nen,&ele);CHKERRQ(ierr);
for (i=0; i < nele; i++) {
idx[0] = ele[2*i]; idx[1] = ele[2*i+1];
x[0] = _coords[idx[0]];
x[1] = _coords[idx[1]];
PetscInt k;
PetscScalar vals_DDcv[2],vals_cv[2],vals_eta[2],s,hhr,r;
for (k=0; k < 2; k++) {
s = PetscAbs(x[k] - xmid);
if (s <= xwidth*(5.0/64.0)) {
vals_cv[k] = cv_v;
vals_eta[k] = eta_v;
vals_DDcv[k] = 0.0;
} else if (s> xwidth*(5.0/64.0) && s<= xwidth*(7.0/64.0)) {
/*r = (s - xwidth*(6.0/64.0))/(0.5*lambda);*/
r = (s - xwidth*(6.0/64.0))/(xwidth/64.0);
hhr = 0.25*(-r*r*r + 3*r + 2);
vals_cv[k] = cv_m + (1.0 - hhr)*(cv_v - cv_m);
vals_eta[k] = eta_m + (1.0 - hhr)*(eta_v - eta_m);
vals_DDcv[k] = (cv_v - cv_m)*r*6.0/(lambda*lambda);
} else {
vals_cv[k] = cv_m;
vals_eta[k] = eta_m;
vals_DDcv[k] = 0.0;
}
}
ierr = VecSetValuesLocal(user->cv,2,idx,vals_cv,INSERT_VALUES);CHKERRQ(ierr);
ierr = VecSetValuesLocal(user->eta,2,idx,vals_eta,INSERT_VALUES);CHKERRQ(ierr);
ierr = VecSetValuesLocal(user->work2,2,idx,vals_DDcv,INSERT_VALUES);CHKERRQ(ierr);
}
ierr = DMDARestoreElements(user->da2,&nele,&nen,&ele);CHKERRQ(ierr);
ierr = VecRestoreArrayRead(coords,&_coords);CHKERRQ(ierr);
ierr = VecAssemblyBegin(user->cv);CHKERRQ(ierr);
ierr = VecAssemblyEnd(user->cv);CHKERRQ(ierr);
ierr = VecAssemblyBegin(user->eta);CHKERRQ(ierr);
ierr = VecAssemblyEnd(user->eta);CHKERRQ(ierr);
ierr = VecAssemblyBegin(user->work2);CHKERRQ(ierr);
ierr = VecAssemblyEnd(user->work2);CHKERRQ(ierr);
ierr = DPsi(user);CHKERRQ(ierr);
ierr = VecCopy(user->DPsiv,user->wv);CHKERRQ(ierr);
ierr = VecAXPY(user->wv,-2.0*user->kav,user->work2);CHKERRQ(ierr);
ierr = VecGetArray(X,&xx);CHKERRQ(ierr);
ierr = VecGetArray(user->wv,&wv_p);CHKERRQ(ierr);
ierr = VecGetArray(user->cv,&cv_p);CHKERRQ(ierr);
ierr = VecGetArray(user->eta,&eta_p);CHKERRQ(ierr);
for (i=0; i<n/3; i++) {
xx[3*i] =wv_p[i];
xx[3*i+1]=cv_p[i];
xx[3*i+2]=eta_p[i];
}
ierr = PetscViewerBinaryOpen(PETSC_COMM_WORLD,"file_initial",FILE_MODE_WRITE,&view_out);CHKERRQ(ierr);
ierr = VecView(user->wv,view_out);CHKERRQ(ierr);
ierr = VecView(user->cv,view_out);CHKERRQ(ierr);
ierr = VecView(user->eta,view_out);CHKERRQ(ierr);
ierr = PetscViewerDestroy(&view_out);CHKERRQ(ierr);
ierr = VecRestoreArray(X,&xx);CHKERRQ(ierr);
ierr = VecRestoreArray(user->wv,&wv_p);CHKERRQ(ierr);
ierr = VecRestoreArray(user->cv,&cv_p);CHKERRQ(ierr);
ierr = VecRestoreArray(user->eta,&eta_p);CHKERRQ(ierr);
PetscFunctionReturn(0);
}