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static char help[] = "Model multi-physics solver. Modified from src/snes/examples/tutorials/ex19.c \n\\n";
/* ------------------------------------------------------------------------
See ex19.c for discussion of the problem
Examples of command line options:
./mp -dmmg_jacobian_mf_fd_operator
./mp -dmcomposite_dense_jacobian #inefficient, but compute entire Jacobian for testing
----------------------------------------------------------------------------------------- */
#include "mp.h"
extern PetscErrorCode FormInitialGuessComp(DMMG,Vec);
extern PetscErrorCode FormFunctionComp(SNES,Vec,Vec,void*);
extern PetscLogEvent EVENT_FORMFUNCTIONLOCAL1, EVENT_FORMFUNCTIONLOCAL2;
extern PetscErrorCode FormCoupleLocations(DMComposite,Mat,PetscInt*,PetscInt*,PetscInt,PetscInt,PetscInt,PetscInt);
#undef __FUNCT__
#define __FUNCT__ "main"
int main(int argc,char **argv)
{
DMMG *dmmg_comp; /* multilevel grid structure */
AppCtx user; /* user-defined work context */
PetscInt mx,my,its;
PetscErrorCode ierr;
MPI_Comm comm;
SNES snes;
DA da1,da2;
DMComposite pack;
PetscTruth couple = PETSC_FALSE;
PetscInitialize(&argc,&argv,(char *)0,help);
ierr = PetscLogEventRegister("FormFunc1", 0,&EVENT_FORMFUNCTIONLOCAL1);CHKERRQ(ierr);
ierr = PetscLogEventRegister("FormFunc2", 0,&EVENT_FORMFUNCTIONLOCAL2);CHKERRQ(ierr);
comm = PETSC_COMM_WORLD;
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Create user context, set problem data, create vector data structures.
Also, compute the initial guess.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Setup Physics 1:
- Lap(U) - Grad_y(Omega) = 0
- Lap(V) + Grad_x(Omega) = 0
- Lap(Omega) + Div([U*Omega,V*Omega]) - GR*Grad_x(T) = 0
where T is given by the given x.temp
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = DACreate2d(comm,DA_NONPERIODIC,DA_STENCIL_STAR,-4,-4,PETSC_DECIDE,PETSC_DECIDE,3,1,0,0,&da1);CHKERRQ(ierr);
ierr = DASetFieldName(da1,0,"x-velocity");CHKERRQ(ierr);
ierr = DASetFieldName(da1,1,"y-velocity");CHKERRQ(ierr);
ierr = DASetFieldName(da1,2,"Omega");CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Setup Physics 2:
- Lap(T) + PR*Div([U*T,V*T]) = 0
where U and V are given by the given x.u and x.v
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = DACreate2d(comm,DA_NONPERIODIC,DA_STENCIL_STAR,-4,-4,PETSC_DECIDE,PETSC_DECIDE,1,1,0,0,&da2);CHKERRQ(ierr);
ierr = DASetFieldName(da2,0,"temperature");CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Create the DMComposite object to manage the two grids/physics.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = DMCompositeCreate(comm,&pack);CHKERRQ(ierr);
ierr = DMCompositeAddDM(pack,(DM)da1);CHKERRQ(ierr);
ierr = DMCompositeAddDM(pack,(DM)da2);CHKERRQ(ierr);
ierr = PetscOptionsHasName(PETSC_NULL,"-couple",&couple);CHKERRQ(ierr);
if (couple) {
ierr = DMCompositeSetCoupling(pack,FormCoupleLocations);CHKERRQ(ierr);
}
/* Create the solver object and attach the grid/physics info */
ierr = DMMGCreate(comm,1,&user,&dmmg_comp);CHKERRQ(ierr);
ierr = DMMGSetDM(dmmg_comp,(DM)pack);CHKERRQ(ierr);
ierr = DMMGSetISColoringType(dmmg_comp,IS_COLORING_GLOBAL);CHKERRQ(ierr);
ierr = DMMGSetInitialGuess(dmmg_comp,FormInitialGuessComp);CHKERRQ(ierr);
ierr = DMMGSetSNES(dmmg_comp,FormFunctionComp,0);CHKERRQ(ierr);
ierr = DMMGSetFromOptions(dmmg_comp);CHKERRQ(ierr);
ierr = DMMGSetUp(dmmg_comp);CHKERRQ(ierr);
/* Problem parameters (velocity of lid, prandtl, and grashof numbers) */
ierr = DAGetInfo(da1,PETSC_NULL,&mx,&my,0,0,0,0,0,0,0,0);CHKERRQ(ierr);
user.lidvelocity = 1.0/(mx*my);
user.prandtl = 1.0;
user.grashof = 1000.0;
ierr = PetscOptionsGetReal(PETSC_NULL,"-lidvelocity",&user.lidvelocity,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetReal(PETSC_NULL,"-prandtl",&user.prandtl,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetReal(PETSC_NULL,"-grashof",&user.grashof,PETSC_NULL);CHKERRQ(ierr);
/* Solve the nonlinear system */
ierr = DMMGSolve(dmmg_comp);CHKERRQ(ierr);
snes = DMMGGetSNES(dmmg_comp);
ierr = SNESGetIterationNumber(snes,&its);CHKERRQ(ierr);
ierr = PetscPrintf(comm,"Composite Physics: Number of Newton iterations = %D\n\n", its);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Free spaces
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = DMCompositeDestroy(pack);CHKERRQ(ierr);
ierr = DADestroy(da1);CHKERRQ(ierr);
ierr = DADestroy(da2);CHKERRQ(ierr);
ierr = DMMGDestroy(dmmg_comp);CHKERRQ(ierr);
ierr = PetscFinalize();CHKERRQ(ierr);
return 0;
}
#undef __FUNCT__
#define __FUNCT__ "FormInitialGuessComp"
/*
FormInitialGuessComp -
Forms the initial guess for the composite model
Unwraps the global solution vector and passes its local pieces into the user functions
*/
PetscErrorCode FormInitialGuessComp(DMMG dmmg,Vec X)
{
PetscErrorCode ierr;
AppCtx *user = (AppCtx*)dmmg->user;
DMComposite dm = (DMComposite)dmmg->dm;
Vec X1,X2;
Field1 **x1;
Field2 **x2;
DALocalInfo info1,info2;
DA da1,da2;
PetscFunctionBegin;
ierr = DMCompositeGetEntries(dm,&da1,&da2);CHKERRQ(ierr);
/* Access the subvectors in X */
ierr = DMCompositeGetAccess(dm,X,&X1,&X2);CHKERRQ(ierr);
/* Access the arrays inside the subvectors of X */
ierr = DAVecGetArray(da1,X1,(void**)&x1);CHKERRQ(ierr);
ierr = DAVecGetArray(da2,X2,(void**)&x2);CHKERRQ(ierr);
ierr = DAGetLocalInfo(da1,&info1);CHKERRQ(ierr);
ierr = DAGetLocalInfo(da2,&info2);CHKERRQ(ierr);
/* Evaluate local user provided function */
ierr = FormInitialGuessLocal1(&info1,x1);CHKERRQ(ierr);
ierr = FormInitialGuessLocal2(&info2,x2,user);CHKERRQ(ierr);
ierr = DAVecRestoreArray(da1,X1,(void**)&x1);CHKERRQ(ierr);
ierr = DAVecRestoreArray(da2,X2,(void**)&x2);CHKERRQ(ierr);
ierr = DMCompositeRestoreAccess(dm,X,&X1,&X2);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "FormFunctionComp"
/*
FormFunctionComp - Unwraps the input vector and passes its local ghosted pieces into the user function
*/
PetscErrorCode FormFunctionComp(SNES snes,Vec X,Vec F,void *ctx)
{
PetscErrorCode ierr;
DMMG dmmg = (DMMG)ctx;
AppCtx *user = (AppCtx*)dmmg->user;
DMComposite dm = (DMComposite)dmmg->dm;
DALocalInfo info1,info2;
DA da1,da2;
Field1 **x1,**f1;
Field2 **x2,**f2;
Vec X1,X2,F1,F2;
PetscFunctionBegin;
ierr = DMCompositeGetEntries(dm,&da1,&da2);CHKERRQ(ierr);
ierr = DAGetLocalInfo(da1,&info1);CHKERRQ(ierr);
ierr = DAGetLocalInfo(da2,&info2);CHKERRQ(ierr);
/* Get local vectors to hold ghosted parts of X */
ierr = DMCompositeGetLocalVectors(dm,&X1,&X2);CHKERRQ(ierr);
ierr = DMCompositeScatter(dm,X,X1,X2);CHKERRQ(ierr);
/* Access the arrays inside the subvectors of X */
ierr = DAVecGetArray(da1,X1,(void**)&x1);CHKERRQ(ierr);
ierr = DAVecGetArray(da2,X2,(void**)&x2);CHKERRQ(ierr);
/* Access the subvectors in F.
These are not ghosted so directly access the memory locations in F */
ierr = DMCompositeGetAccess(dm,F,&F1,&F2);CHKERRQ(ierr);
/* Access the arrays inside the subvectors of F */
ierr = DAVecGetArray(da1,F1,(void**)&f1);CHKERRQ(ierr);
ierr = DAVecGetArray(da2,F2,(void**)&f2);CHKERRQ(ierr);
/* Evaluate local user provided function */
ierr = FormFunctionLocal1(&info1,x1,x2,f1,(void**)user);CHKERRQ(ierr);
ierr = FormFunctionLocal2(&info2,x1,x2,f2,(void**)user);CHKERRQ(ierr);
ierr = DAVecRestoreArray(da1,F1,(void**)&f1);CHKERRQ(ierr);
ierr = DAVecRestoreArray(da2,F2,(void**)&f2);CHKERRQ(ierr);
ierr = DMCompositeRestoreAccess(dm,F,&F1,&F2);CHKERRQ(ierr);
ierr = DAVecRestoreArray(da1,X1,(void**)&x1);CHKERRQ(ierr);
ierr = DAVecRestoreArray(da2,X2,(void**)&x2);CHKERRQ(ierr);
ierr = DMCompositeRestoreLocalVectors(dm,&X1,&X2);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "FormCoupleLocations"
/*
Computes the coupling between DA1 and DA2. This determines the location of each coupling between DA1 and DA2.
*/
PetscErrorCode FormCoupleLocations(DMComposite dmcomposite,Mat A,PetscInt *dnz,PetscInt *onz,PetscInt __rstart,PetscInt __nrows,PetscInt __start,PetscInt __end)
{
PetscInt i,j,cols[2],istart,jstart,in,jn,row,col,M;
PetscErrorCode ierr;
DA da1,da2;
PetscFunctionBegin;
ierr = DMCompositeGetEntries(dmcomposite,&da1,&da2);CHKERRQ(ierr);
ierr = DAGetInfo(da1,0,&M,0,0,0,0,0,0,0,0,0);CHKERRQ(ierr);
ierr = DAGetCorners(da1,&istart,&jstart,PETSC_NULL,&in,&jn,PETSC_NULL);CHKERRQ(ierr);
/* coupling from physics 1 to physics 2 */
row = __rstart + 2; /* global location of first omega on this process */
col = __rstart + 3*in*jn; /* global location of first temp on this process */
for (j=jstart; j<jstart+jn; j++) {
for (i=istart; i<istart+in; i++) {
/* each omega is coupled to the temp to the left and right */
if (i == 0) {
cols[0] = col + 1;
ierr = MatPreallocateLocation(A,row,1,cols,dnz,onz);CHKERRQ(ierr);
} else if (i == M-1) {
cols[0] = col - 1;
ierr = MatPreallocateLocation(A,row,1,cols,dnz,onz);CHKERRQ(ierr);
} else {
cols[0] = col - 1;
cols[1] = col + 1;
ierr = MatPreallocateLocation(A,row,2,cols,dnz,onz);CHKERRQ(ierr);
}
row += 3;
col += 1;
}
}
/* coupling from physics 2 to physics 1 */
col = __rstart; /* global location of first u on this process */
row = __rstart + 3*in*jn; /* global location of first temp on this process */
for (j=jstart; j<jstart+jn; j++) {
for (i=istart; i<istart+in; i++) {
/* temp is coupled to both u and v at each point */
cols[0] = col;
cols[1] = col + 1;
ierr = MatPreallocateLocation(A,row,2,cols,dnz,onz);CHKERRQ(ierr);
row += 1;
col += 3;
}
}
PetscFunctionReturn(0);
}
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