int main(int argc,char **argv)
{
SNES snes;
PetscErrorCode ierr;
PetscInt its,lits;
PetscReal litspit;
DM da;
PetscInitialize(&argc,&argv,PETSC_NULL,help);
/*
Set the DMDA (grid structure) for the grids.
*/
ierr = DMDACreate2d(PETSC_COMM_WORLD, DMDA_BOUNDARY_NONE, DMDA_BOUNDARY_NONE,DMDA_STENCIL_STAR,-5,-5,PETSC_DECIDE,PETSC_DECIDE,1,1,0,0,&da);CHKERRQ(ierr);
ierr = DMDASNESSetFunctionLocal(da,INSERT_VALUES,(PetscErrorCode (*)(DMDALocalInfo*,void*,void*,void*))FormFunctionLocal,PETSC_NULL);CHKERRQ(ierr);
ierr = SNESCreate(PETSC_COMM_WORLD,&snes);CHKERRQ(ierr);
ierr = SNESSetDM(snes,da);CHKERRQ(ierr);
ierr = DMDestroy(&da);CHKERRQ(ierr);
ierr = SNESSetFromOptions(snes);CHKERRQ(ierr);
ierr = SNESSolve(snes,0,0);CHKERRQ(ierr);
ierr = SNESGetIterationNumber(snes,&its);CHKERRQ(ierr);
ierr = SNESGetLinearSolveIterations(snes,&lits);CHKERRQ(ierr);
litspit = ((PetscReal)lits)/((PetscReal)its);
ierr = PetscPrintf(PETSC_COMM_WORLD,"Number of SNES iterations = %D\n",its);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD,"Number of Linear iterations = %D\n",lits);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD,"Average Linear its / SNES = %e\n",litspit);CHKERRQ(ierr);
ierr = SNESDestroy(&snes);CHKERRQ(ierr);
ierr = PetscFinalize();
return 0;
}
void PetscDiffSolver::init ()
{
START_LOG("init()", "PetscDiffSolver");
Parent::init();
int ierr=0;
#if PETSC_VERSION_LESS_THAN(2,1,2)
// At least until Petsc 2.1.1, the SNESCreate had a different
// calling syntax. The second argument was of type SNESProblemType,
// and could have a value of either SNES_NONLINEAR_EQUATIONS or
// SNES_UNCONSTRAINED_MINIMIZATION.
ierr = SNESCreate(libMesh::COMM_WORLD, SNES_NONLINEAR_EQUATIONS, &_snes);
CHKERRABORT(libMesh::COMM_WORLD,ierr);
#else
ierr = SNESCreate(libMesh::COMM_WORLD,&_snes);
CHKERRABORT(libMesh::COMM_WORLD,ierr);
#endif
#if PETSC_VERSION_LESS_THAN(2,3,3)
ierr = SNESSetMonitor (_snes, __libmesh_petsc_diff_solver_monitor,
this, PETSC_NULL);
#else
// API name change in PETSc 2.3.3
ierr = SNESMonitorSet (_snes, __libmesh_petsc_diff_solver_monitor,
this, PETSC_NULL);
#endif
CHKERRABORT(libMesh::COMM_WORLD,ierr);
ierr = SNESSetFromOptions(_snes);
CHKERRABORT(libMesh::COMM_WORLD,ierr);
STOP_LOG("init()", "PetscDiffSolver");
}
static PetscErrorCode TSSetFromOptions_Alpha(TS ts)
{
TS_Alpha *th = (TS_Alpha*)ts->data;
PetscErrorCode ierr;
PetscFunctionBegin;
ierr = PetscOptionsHead("Alpha ODE solver options");CHKERRQ(ierr);
{
PetscBool flag, adapt = PETSC_FALSE;
PetscReal radius = 1.0;
ierr = PetscOptionsReal("-ts_alpha_radius","spectral radius","TSAlphaSetRadius",radius,&radius,&flag);CHKERRQ(ierr);
if (flag) { ierr = TSAlphaSetRadius(ts,radius);CHKERRQ(ierr); }
ierr = PetscOptionsReal("-ts_alpha_alpha_m","algoritmic parameter alpha_m","TSAlphaSetParams",th->Alpha_m,&th->Alpha_m,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-ts_alpha_alpha_f","algoritmic parameter alpha_f","TSAlphaSetParams",th->Alpha_f,&th->Alpha_f,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-ts_alpha_gamma","algoritmic parameter gamma","TSAlphaSetParams",th->Gamma,&th->Gamma,PETSC_NULL);CHKERRQ(ierr);
ierr = TSAlphaSetParams(ts,th->Alpha_m,th->Alpha_f,th->Gamma);CHKERRQ(ierr);
ierr = PetscOptionsBool("-ts_alpha_adapt","default time step adaptativity","TSAlphaSetAdapt",adapt,&adapt,&flag);CHKERRQ(ierr);
if (flag) { ierr = TSAlphaSetAdapt(ts,adapt?TSAlphaAdaptDefault:PETSC_NULL,PETSC_NULL);CHKERRQ(ierr); }
ierr = PetscOptionsReal("-ts_alpha_adapt_rtol","relative tolerance for dt adaptativity","",th->rtol,&th->rtol,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-ts_alpha_adapt_atol","absolute tolerance for dt adaptativity","",th->atol,&th->atol,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-ts_alpha_adapt_min","minimum dt scale","",th->scale_min,&th->scale_min,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-ts_alpha_adapt_max","maximum dt scale","",th->scale_max,&th->scale_max,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-ts_alpha_adapt_dt_min","minimum dt","",th->dt_min,&th->dt_min,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-ts_alpha_adapt_dt_max","maximum dt","",th->dt_max,&th->dt_max,PETSC_NULL);CHKERRQ(ierr);
ierr = SNESSetFromOptions(ts->snes);CHKERRQ(ierr);
}
ierr = PetscOptionsTail();CHKERRQ(ierr);
PetscFunctionReturn(0);
}
int main(int argc,char **argv) {
PetscErrorCode ierr;
SNES snes; // nonlinear solver context
Vec x, r; // solution, residual vectors
PetscReal x0 = 2.0;
PetscInitialize(&argc,&argv,(char*)0,help);
ierr = PetscOptionsBegin(PETSC_COMM_WORLD,"","options to atan","");CHKERRQ(ierr);
ierr = PetscOptionsReal("-x0","initial value","atan.c",x0,&x0,NULL); CHKERRQ(ierr);
ierr = PetscOptionsEnd();CHKERRQ(ierr);
ierr = VecCreate(PETSC_COMM_WORLD,&x); CHKERRQ(ierr);
ierr = VecSetSizes(x,PETSC_DECIDE,1); CHKERRQ(ierr);
ierr = VecSetFromOptions(x); CHKERRQ(ierr);
ierr = VecSet(x,x0); CHKERRQ(ierr);
ierr = VecDuplicate(x,&r); CHKERRQ(ierr);
ierr = SNESCreate(PETSC_COMM_WORLD,&snes); CHKERRQ(ierr);
ierr = SNESSetFunction(snes,r,FormFunction,NULL); CHKERRQ(ierr);
ierr = SNESSetFromOptions(snes); CHKERRQ(ierr);
ierr = SNESSolve(snes,NULL,x); CHKERRQ(ierr);
ierr = VecView(x,PETSC_VIEWER_STDOUT_WORLD); CHKERRQ(ierr);
VecDestroy(&x); VecDestroy(&r); SNESDestroy(&snes);
PetscFinalize();
return 0;
}
static PetscErrorCode TSSetFromOptions_EIMEX(TS ts)
{
TS_EIMEX *ext = (TS_EIMEX*)ts->data;
PetscErrorCode ierr;
PetscInt tindex[2]={TSEIMEXDefault,TSEIMEXDefault};
PetscInt np = 2, nrows=TSEIMEXDefault;
PetscFunctionBegin;
ierr = PetscOptionsHead("EIMEX ODE solver options");CHKERRQ(ierr);
{
PetscBool flg;
flg = PETSC_FALSE;
ierr = PetscOptionsInt("-ts_eimex_max_rows","Define the maximum number of rows used","TSEIMEXSetMaxRows",nrows,&nrows,&flg);CHKERRQ(ierr); /*default value 3*/
if(flg){
ierr = TSEIMEXSetMaxRows(ts,nrows);CHKERRQ(ierr);
}
ierr = PetscOptionsIntArray("-ts_eimex_row_col","Return the specific term in the T table","TSEIMEXSetRowCol",tindex,&np,&flg);CHKERRQ(ierr);
if(flg){
ierr = TSEIMEXSetRowCol(ts,tindex[0],tindex[1]);CHKERRQ(ierr);
}
ierr = PetscOptionsBool("-ts_eimex_order_adapt","Solve the problem with adaptive order","TSEIMEXSetOrdAdapt",ext->ord_adapt,&ext->ord_adapt,NULL);CHKERRQ(ierr);
ierr = SNESSetFromOptions(ts->snes);CHKERRQ(ierr);
}
ierr = PetscOptionsTail();CHKERRQ(ierr);
PetscFunctionReturn(0);
}
static PetscErrorCode TSSetFromOptions_Pseudo(TS ts)
{
TS_Pseudo *pseudo = (TS_Pseudo*)ts->data;
PetscErrorCode ierr;
PetscBool flg = PETSC_FALSE;
PetscViewer viewer;
PetscFunctionBegin;
ierr = PetscOptionsHead("Pseudo-timestepping options");CHKERRQ(ierr);
ierr = PetscOptionsBool("-ts_monitor_pseudo","Monitor convergence","TSPseudoMonitorDefault",flg,&flg,NULL);CHKERRQ(ierr);
if (flg) {
ierr = PetscViewerASCIIOpen(PetscObjectComm((PetscObject)ts),"stdout",&viewer);CHKERRQ(ierr);
ierr = TSMonitorSet(ts,TSPseudoMonitorDefault,viewer,(PetscErrorCode (*)(void**))PetscViewerDestroy);CHKERRQ(ierr);
}
flg = PETSC_FALSE;
ierr = PetscOptionsBool("-ts_pseudo_increment_dt_from_initial_dt","Increase dt as a ratio from original dt","TSPseudoIncrementDtFromInitialDt",flg,&flg,NULL);CHKERRQ(ierr);
if (flg) {
ierr = TSPseudoIncrementDtFromInitialDt(ts);CHKERRQ(ierr);
}
ierr = PetscOptionsReal("-ts_pseudo_increment","Ratio to increase dt","TSPseudoSetTimeStepIncrement",pseudo->dt_increment,&pseudo->dt_increment,0);CHKERRQ(ierr);
ierr = PetscOptionsReal("-ts_pseudo_max_dt","Maximum value for dt","TSPseudoSetMaxTimeStep",pseudo->dt_max,&pseudo->dt_max,0);CHKERRQ(ierr);
ierr = SNESSetFromOptions(ts->snes);CHKERRQ(ierr);
ierr = PetscOptionsTail();CHKERRQ(ierr);
PetscFunctionReturn(0);
}
int main(int argc, char **argv)
{
DM dm; /* Problem specification */
SNES snes; /* Nonlinear solver */
Vec u; /* Solutions */
AppCtx user; /* User-defined work context */
PetscErrorCode ierr;
ierr = PetscInitialize(&argc, &argv, NULL,help);if (ierr) return ierr;
ierr = ProcessOptions(PETSC_COMM_WORLD, &user);CHKERRQ(ierr);
/* Primal system */
ierr = SNESCreate(PETSC_COMM_WORLD, &snes);CHKERRQ(ierr);
ierr = CreateMesh(PETSC_COMM_WORLD, &user, &dm);CHKERRQ(ierr);
ierr = SNESSetDM(snes, dm);CHKERRQ(ierr);
ierr = SetupFE(dm, user.dim, user.simplex, "displacement", SetupPrimalProblem, &user);CHKERRQ(ierr);
ierr = DMCreateGlobalVector(dm, &u);CHKERRQ(ierr);
ierr = VecSet(u, 0.0);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) u, "displacement");CHKERRQ(ierr);
ierr = DMPlexSetSNESLocalFEM(dm, &user, &user, &user);CHKERRQ(ierr);
ierr = SNESSetFromOptions(snes);CHKERRQ(ierr);
ierr = DMSNESCheckFromOptions(snes, u, NULL, NULL);CHKERRQ(ierr);
ierr = SNESSolve(snes, NULL, u);CHKERRQ(ierr);
ierr = SNESGetSolution(snes, &u);CHKERRQ(ierr);
ierr = VecViewFromOptions(u, NULL, "-displacement_view");CHKERRQ(ierr);
/* Cleanup */
ierr = VecDestroy(&u);CHKERRQ(ierr);
ierr = SNESDestroy(&snes);CHKERRQ(ierr);
ierr = DMDestroy(&dm);CHKERRQ(ierr);
ierr = PetscFinalize();
return ierr;
}
void PetscDMNonlinearSolver<T>::init()
{
PetscErrorCode ierr;
DM dm;
this->PetscNonlinearSolver<T>::init();
// Attaching a DM with the function and Jacobian callbacks to SNES.
ierr = DMCreateLibMesh(libMesh::COMM_WORLD, this->system(), &dm); CHKERRABORT(libMesh::COMM_WORLD, ierr);
ierr = DMSetFromOptions(dm); CHKERRABORT(libMesh::COMM_WORLD, ierr);
ierr = DMSetUp(dm); CHKERRABORT(libMesh::COMM_WORLD, ierr);
ierr = SNESSetDM(this->_snes, dm); CHKERRABORT(libMesh::COMM_WORLD, ierr);
// SNES now owns the reference to dm.
ierr = DMDestroy(&dm); CHKERRABORT(libMesh::COMM_WORLD, ierr);
KSP ksp;
ierr = SNESGetKSP (this->_snes, &ksp); CHKERRABORT(libMesh::COMM_WORLD,ierr);
// Set the tolerances for the iterative solver. Use the user-supplied
// tolerance for the relative residual & leave the others at default values
ierr = KSPSetTolerances (ksp, this->initial_linear_tolerance, PETSC_DEFAULT,PETSC_DEFAULT, this->max_linear_iterations); CHKERRABORT(libMesh::COMM_WORLD,ierr);
// Set the tolerances for the non-linear solver.
ierr = SNESSetTolerances(this->_snes,
this->absolute_residual_tolerance,
this->relative_residual_tolerance,
this->absolute_step_tolerance,
this->max_nonlinear_iterations,
this->max_function_evaluations);
CHKERRABORT(libMesh::COMM_WORLD,ierr);
//Pull in command-line options
KSPSetFromOptions(ksp);
SNESSetFromOptions(this->_snes);
}
int main(int argc,char **argv)
{
PetscErrorCode ierr;
AppCtx ctx;
TS ts;
Vec tsrhs,U;
ierr = PetscInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
ierr = TSCreate(PETSC_COMM_WORLD,&ts);CHKERRQ(ierr);
ierr = TSSetProblemType(ts,TS_NONLINEAR);CHKERRQ(ierr);
ierr = TSSetType(ts,TSEULER);CHKERRQ(ierr);
ierr = TSSetFromOptions(ts);CHKERRQ(ierr);
ierr = VecCreateMPI(PETSC_COMM_WORLD,PETSC_DECIDE,1,&tsrhs);CHKERRQ(ierr);
ierr = VecCreateMPI(PETSC_COMM_WORLD,PETSC_DECIDE,1,&U);CHKERRQ(ierr);
ierr = TSSetRHSFunction(ts,tsrhs,TSFunction,&ctx);CHKERRQ(ierr);
ctx.f = f;
ierr = SNESCreate(PETSC_COMM_WORLD,&ctx.snes);CHKERRQ(ierr);
ierr = SNESSetFromOptions(ctx.snes);CHKERRQ(ierr);
ierr = SNESSetFunction(ctx.snes,NULL,SNESFunction,&ctx);CHKERRQ(ierr);
ierr = SNESSetJacobian(ctx.snes,NULL,NULL,SNESComputeJacobianDefault,&ctx);CHKERRQ(ierr);
ctx.F = F;
ierr = VecCreateMPI(PETSC_COMM_WORLD,PETSC_DECIDE,1,&ctx.V);CHKERRQ(ierr);
ierr = VecSet(U,1.0);CHKERRQ(ierr);
ierr = TSSolve(ts,U);CHKERRQ(ierr);
ierr = VecDestroy(&ctx.V);CHKERRQ(ierr);
ierr = VecDestroy(&tsrhs);CHKERRQ(ierr);
ierr = VecDestroy(&U);CHKERRQ(ierr);
ierr = SNESDestroy(&ctx.snes);CHKERRQ(ierr);
ierr = TSDestroy(&ts);CHKERRQ(ierr);
ierr = PetscFinalize();
return ierr;
}
int main(int argc,char **argv)
{
PetscErrorCode ierr;
UserCtx user;
DM red,da;
SNES snes;
DM packer;
PetscBool use_monitor = PETSC_FALSE;
ierr = PetscInitialize(&argc,&argv,NULL,help);if (ierr) return ierr;
ierr = PetscOptionsSetFromOptions(NULL);CHKERRQ(ierr);
/* Hardwire several options; can be changed at command line */
ierr = PetscOptionsInsertString(NULL,common_options);CHKERRQ(ierr);
ierr = PetscOptionsInsertString(NULL,matrix_free_options);CHKERRQ(ierr);
ierr = PetscOptionsInsert(NULL,&argc,&argv,NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetBool(NULL,NULL,"-use_monitor",&use_monitor,PETSC_IGNORE);CHKERRQ(ierr);
/* Create a global vector that includes a single redundant array and two da arrays */
ierr = DMCompositeCreate(PETSC_COMM_WORLD,&packer);CHKERRQ(ierr);
ierr = DMRedundantCreate(PETSC_COMM_WORLD,0,1,&red);CHKERRQ(ierr);
ierr = DMSetOptionsPrefix(red,"red_");CHKERRQ(ierr);
ierr = DMCompositeAddDM(packer,red);CHKERRQ(ierr);
ierr = DMDACreate1d(PETSC_COMM_WORLD,DM_BOUNDARY_NONE,-5,2,1,NULL,&da);CHKERRQ(ierr);
ierr = DMSetOptionsPrefix(red,"da_");CHKERRQ(ierr);
ierr = DMCompositeAddDM(packer,(DM)da);CHKERRQ(ierr);
ierr = DMSetApplicationContext(packer,&user);CHKERRQ(ierr);
packer->ops->creatematrix = DMCreateMatrix_MF;
/* create nonlinear multi-level solver */
ierr = SNESCreate(PETSC_COMM_WORLD,&snes);CHKERRQ(ierr);
ierr = SNESSetDM(snes,packer);CHKERRQ(ierr);
ierr = SNESSetFunction(snes,NULL,ComputeFunction,NULL);CHKERRQ(ierr);
ierr = SNESSetJacobian(snes,NULL, NULL,ComputeJacobian_MF,NULL);CHKERRQ(ierr);
ierr = SNESSetFromOptions(snes);CHKERRQ(ierr);
if (use_monitor) {
/* create graphics windows */
ierr = PetscViewerDrawOpen(PETSC_COMM_WORLD,0,"u_lambda - state variables and Lagrange multipliers",-1,-1,-1,-1,&user.u_lambda_viewer);CHKERRQ(ierr);
ierr = PetscViewerDrawOpen(PETSC_COMM_WORLD,0,"fu_lambda - derivate w.r.t. state variables and Lagrange multipliers",-1,-1,-1,-1,&user.fu_lambda_viewer);CHKERRQ(ierr);
ierr = SNESMonitorSet(snes,Monitor,0,0);CHKERRQ(ierr);
}
ierr = SNESSolve(snes,NULL,NULL);CHKERRQ(ierr);
ierr = SNESDestroy(&snes);CHKERRQ(ierr);
ierr = DMDestroy(&red);CHKERRQ(ierr);
ierr = DMDestroy(&da);CHKERRQ(ierr);
ierr = DMDestroy(&packer);CHKERRQ(ierr);
if (use_monitor) {
ierr = PetscViewerDestroy(&user.u_lambda_viewer);CHKERRQ(ierr);
ierr = PetscViewerDestroy(&user.fu_lambda_viewer);CHKERRQ(ierr);
}
ierr = PetscFinalize();
return ierr;
}
int main(int argc, char **argv)
{
SNES snes; /* nonlinear solver */
Mat A,J; /* Jacobian,preconditioner matrix */
Vec u,r; /* solution, residual vectors */
AppCtx user; /* user-defined work context */
PetscReal error = 0.0; /* L_2 error in the solution */
PetscErrorCode ierr;
ierr = PetscInitialize(&argc, &argv, NULL, help);CHKERRQ(ierr);
ierr = ProcessOptions(PETSC_COMM_WORLD, &user);CHKERRQ(ierr);
ierr = SNESCreate(PETSC_COMM_WORLD, &snes);CHKERRQ(ierr);
ierr = CreateMesh(PETSC_COMM_WORLD, &user, &user.dm);CHKERRQ(ierr);
ierr = SNESSetDM(snes, user.dm);CHKERRQ(ierr);
ierr = SetupExactSolution(&user);CHKERRQ(ierr);
ierr = SetupQuadrature(&user);CHKERRQ(ierr);
ierr = SetupSection(user.dm, &user);CHKERRQ(ierr);
ierr = DMCreateGlobalVector(user.dm, &u);CHKERRQ(ierr);
ierr = VecDuplicate(u, &r);CHKERRQ(ierr);
ierr = DMSetMatType(user.dm,MATAIJ);CHKERRQ(ierr);
ierr = DMCreateMatrix(user.dm, &J);CHKERRQ(ierr);
A = J;
ierr = DMSNESSetFunctionLocal(user.dm, (PetscErrorCode (*)(DM,Vec,Vec,void*))FormFunctionLocal,&user);CHKERRQ(ierr);
ierr = DMSNESSetJacobianLocal(user.dm, (PetscErrorCode (*)(DM,Vec,Mat,Mat,void*))FormJacobianLocal,&user);CHKERRQ(ierr);
ierr = SNESSetFromOptions(snes);CHKERRQ(ierr);
{
PetscReal res;
/* Check discretization error */
ierr = PetscPrintf(PETSC_COMM_WORLD, "Initial guess\n");CHKERRQ(ierr);
ierr = VecView(u, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
/* ierr = ComputeError(u, &error, &user);CHKERRQ(ierr); */
ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: %g\n", error);CHKERRQ(ierr);
/* Check residual */
ierr = SNESComputeFunction(snes,u,r);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD, "Initial Residual\n");CHKERRQ(ierr);
ierr = VecChop(r, 1.0e-10);CHKERRQ(ierr);
ierr = VecView(r, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
ierr = VecNorm(r, NORM_2, &res);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Residual: %g\n", res);CHKERRQ(ierr);
}
ierr = VecDestroy(&u);CHKERRQ(ierr);
ierr = VecDestroy(&r);CHKERRQ(ierr);
ierr = SNESDestroy(&snes);CHKERRQ(ierr);
ierr = DMDestroy(&user.dm);CHKERRQ(ierr);
ierr = PetscFinalize();
return 0;
}
int main(int argc,char **argv) {
PetscErrorCode ierr;
SNES snes;
KSP ksp;
Vec u, uexact;
FishCtx user;
DMDALocalInfo info;
double errnorm;
PetscInitialize(&argc,&argv,NULL,help);
user.printevals = PETSC_FALSE;
ierr = PetscOptionsBegin(PETSC_COMM_WORLD, "f3_", "options for fish3", ""); CHKERRQ(ierr);
ierr = PetscOptionsBool("-printevals","residual and Jacobian routines report grid",
"fish3.c",user.printevals,&user.printevals,NULL);CHKERRQ(ierr);
ierr = PetscOptionsEnd(); CHKERRQ(ierr);
ierr = DMDACreate3d(COMM,
DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, DM_BOUNDARY_NONE,
DMDA_STENCIL_STAR,
3,3,3,PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE,
1,1,
NULL,NULL,NULL,&(user.da)); CHKERRQ(ierr);
ierr = DMSetFromOptions(user.da); CHKERRQ(ierr);
ierr = DMSetUp(user.da); CHKERRQ(ierr);
ierr = DMSetApplicationContext(user.da,&user);CHKERRQ(ierr);
ierr = DMDAGetLocalInfo(user.da,&info); CHKERRQ(ierr);
ierr = DMCreateGlobalVector(user.da,&u);CHKERRQ(ierr);
ierr = VecDuplicate(u,&uexact);CHKERRQ(ierr);
ierr = VecDuplicate(u,&(user.b));CHKERRQ(ierr);
ierr = formExactRHS(&info,uexact,user.b,&user); CHKERRQ(ierr);
ierr = SNESCreate(COMM,&snes); CHKERRQ(ierr);
ierr = SNESSetDM(snes,user.da); CHKERRQ(ierr);
ierr = DMDASNESSetFunctionLocal(user.da,INSERT_VALUES,
(DMDASNESFunction)FormFunctionLocal,&user); CHKERRQ(ierr);
ierr = DMDASNESSetJacobianLocal(user.da,
(DMDASNESJacobian)FormJacobianLocal,&user); CHKERRQ(ierr);
ierr = SNESGetKSP(snes,&ksp); CHKERRQ(ierr);
ierr = KSPSetType(ksp,KSPCG); CHKERRQ(ierr);
ierr = SNESSetFromOptions(snes); CHKERRQ(ierr);
ierr = VecSet(u,0.0); CHKERRQ(ierr);
ierr = SNESSolve(snes,NULL,u); CHKERRQ(ierr);
ierr = VecAXPY(u,-1.0,uexact); CHKERRQ(ierr); // u <- u + (-1.0) uexact
ierr = VecNorm(u,NORM_INFINITY,&errnorm); CHKERRQ(ierr);
ierr = PetscPrintf(COMM,"on %d x %d x %d grid: error |u-uexact|_inf = %g\n",
info.mx,info.my,info.mz,errnorm); CHKERRQ(ierr);
VecDestroy(&u); VecDestroy(&uexact); VecDestroy(&(user.b));
SNESDestroy(&snes); DMDestroy(&(user.da));
PetscFinalize();
return 0;
}
int main(int argc, char **argv)
{
SNES snes; /* nonlinear solver */
DM da; /* grid */
Vec u; /* solution vector */
AppCtx user; /* user-defined work context */
PetscReal t; /* time */
PetscErrorCode ierr;
ierr = PetscInitialize(&argc, &argv, PETSC_NULL, help);CHKERRQ(ierr);
/* Create solver */
ierr = SNESCreate(PETSC_COMM_WORLD, &snes);CHKERRQ(ierr);
/* Create mesh */
ierr = DMDACreate1d(PETSC_COMM_WORLD,DMDA_BOUNDARY_NONE,-4,3,1,PETSC_NULL,&da);CHKERRQ(ierr);
ierr = DMSetApplicationContext(da, &user);CHKERRQ(ierr);
ierr = SNESSetDM(snes, da);CHKERRQ(ierr);
/* Create coefficient */
ierr = DMDACreate1d(PETSC_COMM_WORLD,DMDA_BOUNDARY_NONE,-4,1,1,PETSC_NULL,&user.cda);CHKERRQ(ierr);
ierr = DMDASetUniformCoordinates(user.cda, 0.0, 1.0, 0.0, 1.0, 0.0, 1.0);CHKERRQ(ierr);
ierr = DMGetGlobalVector(user.cda, &user.Kappa);CHKERRQ(ierr);
ierr = FormPermeability(user.cda, user.Kappa, &user);CHKERRQ(ierr);
/* Setup Problem */
ierr = DMDASetLocalFunction(da, (DMDALocalFunction1) FormFunctionLocal);CHKERRQ(ierr);
ierr = DMGetGlobalVector(da, &u);CHKERRQ(ierr);
ierr = DMGetGlobalVector(da, &user.uold);CHKERRQ(ierr);
user.sl = 1.0;
user.vl = 0.1;
user.pl = 1.0;
user.phi = 1.0;
user.kappaWet = 1.0;
user.kappaNoWet = 0.3;
/* Time Loop */
user.dt = 0.1;
for(PetscInt n = 0; n < 100; ++n, t += user.dt) {
ierr = PetscPrintf(PETSC_COMM_WORLD, "Starting time %g\n", t);CHKERRQ(ierr);
ierr = VecView(u, PETSC_VIEWER_DRAW_WORLD);CHKERRQ(ierr);
/* Solve */
ierr = SNESSetFromOptions(snes);CHKERRQ(ierr);
ierr = SNESSolve(snes, PETSC_NULL, u);CHKERRQ(ierr);
/* Update */
ierr = VecCopy(u, user.uold);CHKERRQ(ierr);
ierr = VecView(u, PETSC_VIEWER_DRAW_WORLD);CHKERRQ(ierr);
}
/* Cleanup */
ierr = DMRestoreGlobalVector(da, &u);CHKERRQ(ierr);
ierr = DMRestoreGlobalVector(da, &user.uold);CHKERRQ(ierr);
ierr = DMRestoreGlobalVector(user.cda, &user.Kappa);CHKERRQ(ierr);
ierr = DMDestroy(&user.cda);CHKERRQ(ierr);
ierr = DMDestroy(&da);CHKERRQ(ierr);
ierr = SNESDestroy(&snes);CHKERRQ(ierr);
ierr = PetscFinalize();
return 0;
}
int main(int argc, char **argv)
{
SNES snes; /* nonlinear solver */
DM dm; /* problem definition */
Vec u, r; /* solution and residual */
AppCtx user; /* user-defined work context */
PetscErrorCode ierr;
ierr = PetscInitialize(&argc, &argv, NULL,help);if (ierr) return ierr;
ierr = ProcessOptions(PETSC_COMM_WORLD, &user);CHKERRQ(ierr);
ierr = PetscBagCreate(PETSC_COMM_WORLD, sizeof(Parameter), &user.bag);CHKERRQ(ierr);
ierr = SetupParameters(&user);CHKERRQ(ierr);
ierr = SNESCreate(PETSC_COMM_WORLD, &snes);CHKERRQ(ierr);
ierr = CreateMesh(PETSC_COMM_WORLD, &user, &dm);CHKERRQ(ierr);
ierr = SNESSetDM(snes, dm);CHKERRQ(ierr);
ierr = DMSetApplicationContext(dm, &user);CHKERRQ(ierr);
/* Setup problem */
ierr = PetscMalloc(2 * sizeof(void (*)(const PetscReal[], PetscScalar *, void *)), &user.exactFuncs);CHKERRQ(ierr);
ierr = SetupDiscretization(dm, &user);CHKERRQ(ierr);
ierr = DMPlexCreateClosureIndex(dm, NULL);CHKERRQ(ierr);
ierr = DMCreateGlobalVector(dm, &u);CHKERRQ(ierr);
ierr = VecDuplicate(u, &r);CHKERRQ(ierr);
ierr = DMPlexSetSNESLocalFEM(dm,&user,&user,&user);CHKERRQ(ierr);
ierr = SNESSetFromOptions(snes);CHKERRQ(ierr);
{
Parameter *param;
void *ctxs[2];
ierr = PetscBagGetData(user.bag, (void **) ¶m);CHKERRQ(ierr);
ctxs[0] = ctxs[1] = param;
ierr = DMProjectFunction(dm, 0.0, user.exactFuncs, ctxs, INSERT_ALL_VALUES, u);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) u, "Exact Solution");CHKERRQ(ierr);
ierr = VecViewFromOptions(u, NULL, "-exact_vec_view");CHKERRQ(ierr);
}
ierr = DMSNESCheckFromOptions(snes, u, NULL, NULL);CHKERRQ(ierr);
ierr = VecSet(u, 0.0);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) u, "Solution");CHKERRQ(ierr);
ierr = SNESSolve(snes, NULL, u);CHKERRQ(ierr);
ierr = VecViewFromOptions(u, NULL, "-sol_vec_view");CHKERRQ(ierr);
ierr = VecDestroy(&u);CHKERRQ(ierr);
ierr = VecDestroy(&r);CHKERRQ(ierr);
ierr = PetscFree(user.exactFuncs);CHKERRQ(ierr);
ierr = DMDestroy(&dm);CHKERRQ(ierr);
ierr = SNESDestroy(&snes);CHKERRQ(ierr);
ierr = PetscBagDestroy(&user.bag);CHKERRQ(ierr);
ierr = PetscFinalize();
return ierr;
}
int main(int argc,char **argv)
{
PetscErrorCode ierr;
AppCtx ctx;
TS ts;
Vec tsrhs,U;
IS is;
PetscInt I;
PetscMPIInt rank;
ierr = PetscInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr);
ierr = TSCreate(PETSC_COMM_WORLD,&ts);CHKERRQ(ierr);
ierr = TSSetProblemType(ts,TS_NONLINEAR);CHKERRQ(ierr);
ierr = TSSetType(ts,TSEULER);CHKERRQ(ierr);
ierr = TSSetFromOptions(ts);CHKERRQ(ierr);
ierr = VecCreateMPI(PETSC_COMM_WORLD,1,PETSC_DETERMINE,&tsrhs);CHKERRQ(ierr);
ierr = VecCreateMPI(PETSC_COMM_WORLD,1,PETSC_DETERMINE,&U);CHKERRQ(ierr);
ierr = TSSetRHSFunction(ts,tsrhs,TSFunction,&ctx);CHKERRQ(ierr);
ctx.f = f;
ierr = SNESCreate(PETSC_COMM_WORLD,&ctx.snes);CHKERRQ(ierr);
ierr = SNESSetFromOptions(ctx.snes);CHKERRQ(ierr);
ierr = SNESSetFunction(ctx.snes,NULL,SNESFunction,&ctx);CHKERRQ(ierr);
ierr = SNESSetJacobian(ctx.snes,NULL,NULL,SNESComputeJacobianDefault,&ctx);CHKERRQ(ierr);
ctx.F = F;
ierr = VecCreateMPI(PETSC_COMM_WORLD,1,PETSC_DETERMINE,&ctx.V);CHKERRQ(ierr);
/* Create scatters to move between separate U and V representation and UV representation of solution */
ierr = VecCreateMPI(PETSC_COMM_WORLD,2,PETSC_DETERMINE,&ctx.UV);CHKERRQ(ierr);
I = 2*rank;
ierr = ISCreateGeneral(PETSC_COMM_WORLD,1,&I,PETSC_COPY_VALUES,&is);CHKERRQ(ierr);
ierr = VecScatterCreateWithData(U,NULL,ctx.UV,is,&ctx.scatterU);CHKERRQ(ierr);
ierr = ISDestroy(&is);CHKERRQ(ierr);
I = 2*rank + 1;
ierr = ISCreateGeneral(PETSC_COMM_WORLD,1,&I,PETSC_COPY_VALUES,&is);CHKERRQ(ierr);
ierr = VecScatterCreateWithData(ctx.V,NULL,ctx.UV,is,&ctx.scatterV);CHKERRQ(ierr);
ierr = ISDestroy(&is);CHKERRQ(ierr);
ierr = VecSet(U,1.0);CHKERRQ(ierr);
ierr = TSSolve(ts,U);CHKERRQ(ierr);
ierr = VecDestroy(&ctx.V);CHKERRQ(ierr);
ierr = VecDestroy(&ctx.UV);CHKERRQ(ierr);
ierr = VecScatterDestroy(&ctx.scatterU);CHKERRQ(ierr);
ierr = VecScatterDestroy(&ctx.scatterV);CHKERRQ(ierr);
ierr = VecDestroy(&tsrhs);CHKERRQ(ierr);
ierr = VecDestroy(&U);CHKERRQ(ierr);
ierr = SNESDestroy(&ctx.snes);CHKERRQ(ierr);
ierr = TSDestroy(&ts);CHKERRQ(ierr);
ierr = PetscFinalize();
return ierr;
}
int main(int argc, char **argv)
{
DM dm;
SNES snes;
Vec u, r;
AppCtx user;
PetscErrorCode ierr;
ierr = PetscInitialize(&argc, &argv, NULL, help);CHKERRQ(ierr);
ierr = ProcessOptions(PETSC_COMM_WORLD, &user);CHKERRQ(ierr);
ierr = SNESCreate(PETSC_COMM_WORLD, &snes);CHKERRQ(ierr);
ierr = CreateMesh(PETSC_COMM_WORLD, &user, &dm);CHKERRQ(ierr);
ierr = SNESSetDM(snes, dm);CHKERRQ(ierr);
ierr = PetscMalloc(3 * sizeof(void (*)()), &user.exactFuncs);CHKERRQ(ierr);
ierr = SetupDiscretization(dm, &user);CHKERRQ(ierr);
ierr = DMCreateGlobalVector(dm, &u);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) u, "solution");CHKERRQ(ierr);
ierr = VecDuplicate(u, &r);CHKERRQ(ierr);
ierr = DMPlexSetSNESLocalFEM(dm,&user,&user,&user);CHKERRQ(ierr);
ierr = SNESSetFromOptions(snes);CHKERRQ(ierr);
ierr = DMProjectFunction(dm, user.exactFuncs, NULL, INSERT_ALL_VALUES, u);CHKERRQ(ierr);
ierr = DMSNESCheckFromOptions(snes, u, user.exactFuncs, NULL);CHKERRQ(ierr);
if (user.runType == RUN_FULL) {
PetscErrorCode (*initialGuess[3])(PetscInt dim, const PetscReal x[], PetscInt Nf, PetscScalar u[], void *ctx);
PetscReal error;
initialGuess[0] = zero;
initialGuess[1] = zero;
initialGuess[2] = zero;
ierr = DMProjectFunction(dm, initialGuess, NULL, INSERT_VALUES, u);CHKERRQ(ierr);
ierr = VecViewFromOptions(u, NULL, "-initial_vec_view");CHKERRQ(ierr);
ierr = DMComputeL2Diff(dm, user.exactFuncs, NULL, u, &error);CHKERRQ(ierr);
if (error < 1.0e-11) {ierr = PetscPrintf(PETSC_COMM_WORLD, "Initial L_2 Error: < 1.0e-11\n");CHKERRQ(ierr);}
else {ierr = PetscPrintf(PETSC_COMM_WORLD, "Initial L_2 Error: %g\n", error);CHKERRQ(ierr);}
ierr = SNESSolve(snes, NULL, u);CHKERRQ(ierr);
ierr = DMComputeL2Diff(dm, user.exactFuncs, NULL, u, &error);CHKERRQ(ierr);
if (error < 1.0e-11) {ierr = PetscPrintf(PETSC_COMM_WORLD, "Final L_2 Error: < 1.0e-11\n");CHKERRQ(ierr);}
else {ierr = PetscPrintf(PETSC_COMM_WORLD, "Final L_2 Error: %g\n", error);CHKERRQ(ierr);}
}
ierr = VecViewFromOptions(u, NULL, "-sol_vec_view");CHKERRQ(ierr);
ierr = VecDestroy(&u);CHKERRQ(ierr);
ierr = VecDestroy(&r);CHKERRQ(ierr);
ierr = SNESDestroy(&snes);CHKERRQ(ierr);
ierr = DMDestroy(&dm);CHKERRQ(ierr);
ierr = PetscFree(user.exactFuncs);CHKERRQ(ierr);
ierr = PetscFinalize();
return 0;
}
int main(int argc,char **argv)
{
PetscErrorCode ierr;
PetscInt its;
Vec U,FU;
SNES snes;
UserCtx user;
ierr = PetscInitialize(&argc,&argv,(char*)0,help);CHKERRQ(ierr);
/* Create a global vector that includes a single redundant array and two da arrays */
ierr = DMCompositeCreate(PETSC_COMM_WORLD,&user.packer);CHKERRQ(ierr);
ierr = DMRedundantCreate(PETSC_COMM_WORLD,0,1,&user.red1);CHKERRQ(ierr);
ierr = DMCompositeAddDM(user.packer,user.red1);CHKERRQ(ierr);
ierr = DMDACreate1d(PETSC_COMM_WORLD,DM_BOUNDARY_NONE,-5,1,1,NULL,&user.da1);CHKERRQ(ierr);
ierr = DMCompositeAddDM(user.packer,user.da1);CHKERRQ(ierr);
ierr = DMDACreate1d(PETSC_COMM_WORLD,DM_BOUNDARY_NONE,-5,1,1,NULL,&user.da2);CHKERRQ(ierr);
ierr = DMCompositeAddDM(user.packer,user.da2);CHKERRQ(ierr);
ierr = DMCreateGlobalVector(user.packer,&U);CHKERRQ(ierr);
ierr = VecDuplicate(U,&FU);CHKERRQ(ierr);
/* create graphics windows */
ierr = PetscViewerDrawOpen(PETSC_COMM_WORLD,0,"u - state variables",-1,-1,-1,-1,&user.u_viewer);CHKERRQ(ierr);
ierr = PetscViewerDrawOpen(PETSC_COMM_WORLD,0,"lambda - Lagrange multipliers",-1,-1,-1,-1,&user.lambda_viewer);CHKERRQ(ierr);
ierr = PetscViewerDrawOpen(PETSC_COMM_WORLD,0,"fu - derivate w.r.t. state variables",-1,-1,-1,-1,&user.fu_viewer);CHKERRQ(ierr);
ierr = PetscViewerDrawOpen(PETSC_COMM_WORLD,0,"flambda - derivate w.r.t. Lagrange multipliers",-1,-1,-1,-1,&user.flambda_viewer);CHKERRQ(ierr);
/* create nonlinear solver */
ierr = SNESCreate(PETSC_COMM_WORLD,&snes);CHKERRQ(ierr);
ierr = SNESSetFunction(snes,FU,FormFunction,&user);CHKERRQ(ierr);
ierr = SNESSetFromOptions(snes);CHKERRQ(ierr);
ierr = SNESMonitorSet(snes,Monitor,&user,0);CHKERRQ(ierr);
ierr = SNESSolve(snes,NULL,U);CHKERRQ(ierr);
ierr = SNESGetIterationNumber(snes,&its);CHKERRQ(ierr);
ierr = SNESDestroy(&snes);CHKERRQ(ierr);
ierr = DMDestroy(&user.red1);CHKERRQ(ierr);
ierr = DMDestroy(&user.da1);CHKERRQ(ierr);
ierr = DMDestroy(&user.da2);CHKERRQ(ierr);
ierr = DMDestroy(&user.packer);CHKERRQ(ierr);
ierr = VecDestroy(&U);CHKERRQ(ierr);
ierr = VecDestroy(&FU);CHKERRQ(ierr);
ierr = PetscViewerDestroy(&user.u_viewer);CHKERRQ(ierr);
ierr = PetscViewerDestroy(&user.lambda_viewer);CHKERRQ(ierr);
ierr = PetscViewerDestroy(&user.fu_viewer);CHKERRQ(ierr);
ierr = PetscViewerDestroy(&user.flambda_viewer);CHKERRQ(ierr);
ierr = PetscFinalize();
return 0;
}
int main(int argc,char **argv) {
PetscErrorCode ierr;
SNES snes;
Vec u;
DMDALocalInfo info;
Ctx user;
PetscInitialize(&argc,&argv,(char*)0,help);
ierr = configureCtx(&user); CHKERRQ(ierr);
ierr = DMDACreate2d(PETSC_COMM_WORLD,
DM_BOUNDARY_NONE, DM_BOUNDARY_NONE,
DMDA_STENCIL_STAR,
-3,-3,
PETSC_DECIDE,PETSC_DECIDE,
1,1,
NULL,NULL,
&user.da); CHKERRQ(ierr);
ierr = DMDASetUniformCoordinates(user.da,-1.0,1.0,-1.0,1.0,0.0,1.0); CHKERRQ(ierr);
ierr = DMSetApplicationContext(user.da,&user); CHKERRQ(ierr);
ierr = DMDAGetLocalInfo(user.da,&info); CHKERRQ(ierr);
if ((info.mx < 2) || (info.my < 2)) {
SETERRQ(PETSC_COMM_WORLD,1,"grid too coarse ... require (mx,my) > (2,2)");
}
ierr = DMCreateGlobalVector(user.da,&u); CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject)u,"u_vec");CHKERRQ(ierr);
ierr = formInitial(&info,&user,u); CHKERRQ(ierr);
ierr = SNESCreate(PETSC_COMM_WORLD,&snes);CHKERRQ(ierr);
ierr = SNESSetDM(snes,user.da);CHKERRQ(ierr);
ierr = DMDASNESSetFunctionLocal(user.da,INSERT_VALUES,
(DMDASNESFunction)FormFunctionLocal,&user);CHKERRQ(ierr);
ierr = DMDASNESSetJacobianLocal(user.da,
(DMDASNESJacobian)FormJacobianLocal,&user);CHKERRQ(ierr);
ierr = SNESSetFromOptions(snes);CHKERRQ(ierr);
ierr = SNESSolve(snes,NULL,u); CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD,
"done on %d x %d x %d grid with eps=%g ...\n",
info.mx,info.my,info.mz,user.eps); CHKERRQ(ierr);
VecDestroy(&u);
SNESDestroy(&snes); DMDestroy(&user.da);
ierr = PetscFinalize(); CHKERRQ(ierr);
return 0;
}
static PetscErrorCode TSSetFromOptions_Theta(TS ts)
{
TS_Theta *th = (TS_Theta*)ts->data;
PetscErrorCode ierr;
PetscFunctionBegin;
ierr = PetscOptionsHead("Theta ODE solver options");CHKERRQ(ierr);
{
ierr = PetscOptionsReal("-ts_theta_theta","Location of stage (0<Theta<=1)","TSThetaSetTheta",th->Theta,&th->Theta,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsBool("-ts_theta_extrapolate","Extrapolate stage solution from previous solution (sometimes unstable)","TSThetaSetExtrapolate",th->extrapolate,&th->extrapolate,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsBool("-ts_theta_endpoint","Use the endpoint instead of midpoint form of the Theta method","TSThetaSetEndpoint",th->endpoint,&th->endpoint,PETSC_NULL);CHKERRQ(ierr);
ierr = SNESSetFromOptions(ts->snes);CHKERRQ(ierr);
}
ierr = PetscOptionsTail();CHKERRQ(ierr);
PetscFunctionReturn(0);
}
int main(int argc,char **argv) {
SNES snes; Vec x,f; Mat J; DA da;
PetscInitialize(&argc,&argv,(char *)0,help);
DACreate1d(PETSC_COMM_WORLD,DA_NONPERIODIC,8,1,1,PETSC_NULL,&da);
DACreateGlobalVector(da,&x); VecDuplicate(x,&f);
DAGetMatrix(da,MATAIJ,&J);
SNESCreate(PETSC_COMM_WORLD,&snes);
SNESSetFunction(snes,f,ComputeFunction,da);
SNESSetJacobian(snes,J,J,ComputeJacobian,da);
SNESSetFromOptions(snes);
SNESSolve(snes,PETSC_NULL,x);
MatDestroy(J); VecDestroy(x); VecDestroy(f); SNESDestroy(snes); DADestroy(da);
PetscFinalize();
return 0;}
// -------------------------------------------------------------
// PetscNonlinearSolverImplementation::p_build
// -------------------------------------------------------------
void
PetscNonlinearSolverImplementation::p_build(const std::string& option_prefix)
{
PetscErrorCode ierr(0);
try {
ierr = SNESCreate(this->communicator(), &p_snes); CHKERRXX(ierr);
p_petsc_F = PETScVector(*p_F);
if (!p_function.empty()) {
ierr = SNESSetFunction(p_snes, *p_petsc_F, FormFunction,
static_cast<void *>(this)); CHKERRXX(ierr);
}
p_petsc_J = PETScMatrix(*p_J);
if (!p_jacobian.empty()) {
ierr = SNESSetJacobian(p_snes, *p_petsc_J, *p_petsc_J, FormJacobian,
static_cast<void *>(this)); CHKERRXX(ierr);
}
// set the
ierr = SNESSetOptionsPrefix(p_snes, option_prefix.c_str()); CHKERRXX(ierr);
KSP ksp;
ierr = SNESGetKSP(p_snes, &ksp); CHKERRXX(ierr);
ierr = KSPSetOptionsPrefix(ksp, option_prefix.c_str()); CHKERRXX(ierr);
PC pc;
ierr = KSPGetPC(ksp, &pc); CHKERRXX(ierr);
ierr = PCSetOptionsPrefix(pc, option_prefix.c_str()); CHKERRXX(ierr);
ierr = SNESMonitorSet(p_snes, MonitorNorms, PETSC_NULL, PETSC_NULL); CHKERRXX(ierr);
ierr = SNESSetTolerances(p_snes,
p_functionTolerance,
PETSC_DEFAULT,
p_solutionTolerance,
p_maxIterations,
PETSC_DEFAULT);
ierr = SNESSetFromOptions(p_snes); CHKERRXX(ierr);
} catch (const PETSC_EXCEPTION_TYPE& e) {
throw PETScException(ierr, e);
}
}
int main(int argc,char **argv)
{
TS ts;
SNES snes;
SNESLineSearch linesearch;
Vec x;
AppCtx ctx;
PetscErrorCode ierr;
DM da;
ierr = PetscInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
ierr = SetFromOptions(&ctx);CHKERRQ(ierr);
ierr = TSCreate(PETSC_COMM_WORLD, &ts);CHKERRQ(ierr);
ierr = TSSetType(ts,TSCN);CHKERRQ(ierr);
ierr = TSSetProblemType(ts,TS_NONLINEAR);CHKERRQ(ierr);
ierr = TSSetIFunction(ts, NULL, FormIFunction, &ctx);CHKERRQ(ierr);
ierr = DMDACreate2d(PETSC_COMM_WORLD, DM_BOUNDARY_NONE, DM_BOUNDARY_NONE,DMDA_STENCIL_STAR,-4,-4,PETSC_DECIDE,PETSC_DECIDE,N_SPECIES,1,NULL,NULL,&da);CHKERRQ(ierr);
ierr = DMDASetUniformCoordinates(da, 0.0, 1.0, 0.0, 1.0, 0.0, 1.0);CHKERRQ(ierr);
ierr = DMDASetFieldName(da,0,"species A");CHKERRQ(ierr);
ierr = DMDASetFieldName(da,1,"species B");CHKERRQ(ierr);
ierr = DMDASetFieldName(da,2,"species C");CHKERRQ(ierr);
ierr = DMSetApplicationContext(da,&ctx);CHKERRQ(ierr);
ierr = DMCreateGlobalVector(da,&x);CHKERRQ(ierr);
ierr = FormInitialGuess(da, &ctx, x);CHKERRQ(ierr);
ierr = TSSetDM(ts, da);CHKERRQ(ierr);
ierr = TSSetDuration(ts,10000,1000.0);CHKERRQ(ierr);
ierr = TSSetExactFinalTime(ts,TS_EXACTFINALTIME_STEPOVER);CHKERRQ(ierr);
ierr = TSSetInitialTimeStep(ts,0.0,1.0);CHKERRQ(ierr);
ierr = TSSetSolution(ts,x);CHKERRQ(ierr);
ierr = TSSetFromOptions(ts);CHKERRQ(ierr);
ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
ierr = SNESGetLineSearch(snes,&linesearch);CHKERRQ(ierr);
ierr = SNESLineSearchSetPostCheck(linesearch, ReactingFlowPostCheck, (void*)&ctx);CHKERRQ(ierr);
ierr = SNESSetFromOptions(snes);CHKERRQ(ierr);
ierr = TSSolve(ts,x);CHKERRQ(ierr);
ierr = VecDestroy(&x);CHKERRQ(ierr);
ierr = TSDestroy(&ts);CHKERRQ(ierr);
ierr = DMDestroy(&da);CHKERRQ(ierr);
ierr = PetscFinalize();
PetscFunctionReturn(0);
}
int main(int argc, char** argv) {
PetscInitialize( &argc, &argv, (char *)0, 0 ) ;
int ncpus;
MPI_Comm_size(PETSC_COMM_WORLD,&ncpus);
if (ncpus > 1) SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_SUP,
"Example is only for sequential runs");
Vec x, r;
VecCreate(PETSC_COMM_WORLD, &x);
VecSetSizes(x, PETSC_DECIDE, 2);
VecSetFromOptions(x);
VecDuplicate(x, &r);
Mat J;
MatCreate(PETSC_COMM_WORLD, &J);
MatSetSizes(J, PETSC_DECIDE, PETSC_DECIDE, 2, 2);
MatSetFromOptions(J);
MatSetUp(J);
SNES snes;
SNESCreate(PETSC_COMM_WORLD, &snes);
SNESSetFunction(snes, r, CalculateFunc, NULL);
SNESSetJacobian(snes, J, J, CalculateJacobian, NULL);
SNESSetFromOptions(snes);
VecSet(x, 1.0);
SNESSolve(snes, NULL, x);
VecView(x,PETSC_VIEWER_STDOUT_WORLD);
SNESGetFunction(snes,&r,0,0);
VecView(r,PETSC_VIEWER_STDOUT_WORLD);
SNESDestroy(&snes);
MatDestroy(&J);
VecDestroy(&r);
VecDestroy(&x);
PetscFinalize();
return 0;
}
int main(int argc,char **argv)
{
SNES snes; /* nonlinear solver context */
Vec r; /* solution, residual vectors */
PetscErrorCode ierr;
AppCtx user; /* user-defined work context */
PetscViewer viewer;
PetscInitialize(&argc,&argv,(char*)0,help);
ierr = PetscViewerBinaryOpen(PETSC_COMM_SELF,"videfinition",FILE_MODE_READ,&viewer);CHKERRQ(ierr);
ierr = MatCreate(PETSC_COMM_SELF,&user.M);CHKERRQ(ierr); ierr = MatLoad(user.M,viewer);CHKERRQ(ierr);
ierr = MatDuplicate(user.M,MAT_COPY_VALUES,&user.Jac);CHKERRQ(ierr);
ierr = VecCreate(PETSC_COMM_SELF,&user.q);CHKERRQ(ierr); ierr = VecLoad(user.q,viewer);CHKERRQ(ierr);
ierr = VecCreate(PETSC_COMM_SELF,&user.lb);CHKERRQ(ierr); ierr = VecLoad(user.lb,viewer);CHKERRQ(ierr);
ierr = VecCreate(PETSC_COMM_SELF,&user.ub);CHKERRQ(ierr);ierr = VecLoad(user.ub,viewer);CHKERRQ(ierr);
ierr = VecCreate(PETSC_COMM_SELF,&user.zz);CHKERRQ(ierr);ierr = VecLoad(user.zz,viewer);CHKERRQ(ierr);
ierr = VecView(user.zz,PETSC_VIEWER_STDOUT_SELF);CHKERRQ(ierr);
/* ierr = VecSet(user.zz,0.01);CHKERRQ(ierr);*/
ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
ierr = VecDuplicate(user.q,&r);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Create nonlinear solver context
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = SNESCreate(PETSC_COMM_WORLD,&snes);CHKERRQ(ierr);
ierr = SNESSetFunction(snes,r,FormFunction1,&user);CHKERRQ(ierr);
ierr = SNESSetJacobian(snes,user.Jac,user.Jac,FormJacobian1,&user);CHKERRQ(ierr);
ierr = SNESVISetVariableBounds(snes,user.lb,user.ub);CHKERRQ(ierr);
ierr = SNESSetFromOptions(snes);CHKERRQ(ierr);
ierr = SNESSolve(snes,NULL,user.zz);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject)user.zz,"x*");CHKERRQ(ierr);
ierr = VecView(user.zz,PETSC_VIEWER_STDOUT_SELF);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject)r,"f(x*)");CHKERRQ(ierr);
ierr = FormFunction1(snes,user.zz,r,&user);CHKERRQ(ierr);
ierr = VecView(r,PETSC_VIEWER_STDOUT_SELF);CHKERRQ(ierr);
ierr = PetscFinalize();
return 0;
}
int main(int argc,char **argv) {
PetscErrorCode ierr;
SNES snes; // nonlinear solver context
Vec x, r; // solution, residual vectors
PetscInitialize(&argc,&argv,NULL,help);
ierr = VecCreate(PETSC_COMM_WORLD,&x); CHKERRQ(ierr);
ierr = VecSetSizes(x,PETSC_DECIDE,2); CHKERRQ(ierr);
ierr = VecSetFromOptions(x); CHKERRQ(ierr);
ierr = VecSet(x,1.0); CHKERRQ(ierr);
ierr = VecDuplicate(x,&r); CHKERRQ(ierr);
ierr = SNESCreate(PETSC_COMM_WORLD,&snes); CHKERRQ(ierr);
ierr = SNESSetFunction(snes,r,FormFunction,NULL); CHKERRQ(ierr);
ierr = SNESSetFromOptions(snes); CHKERRQ(ierr);
ierr = SNESSolve(snes,NULL,x); CHKERRQ(ierr);
ierr = VecView(x,PETSC_VIEWER_STDOUT_WORLD); CHKERRQ(ierr);
VecDestroy(&x); VecDestroy(&r); SNESDestroy(&snes);
return PetscFinalize();
}
static PetscErrorCode SNESSetFromOptions_Composite(PetscOptionItems *PetscOptionsObject,SNES snes)
{
SNES_Composite *jac = (SNES_Composite*)snes->data;
PetscErrorCode ierr;
PetscInt nmax = 8,i;
SNES_CompositeLink next;
char *sneses[8];
PetscReal dmps[8];
PetscBool flg;
PetscFunctionBegin;
ierr = PetscOptionsHead(PetscOptionsObject,"Composite preconditioner options");CHKERRQ(ierr);
ierr = PetscOptionsEnum("-snes_composite_type","Type of composition","SNESCompositeSetType",SNESCompositeTypes,(PetscEnum)jac->type,(PetscEnum*)&jac->type,&flg);CHKERRQ(ierr);
if (flg) {
ierr = SNESCompositeSetType(snes,jac->type);CHKERRQ(ierr);
}
ierr = PetscOptionsStringArray("-snes_composite_sneses","List of composite solvers","SNESCompositeAddSNES",sneses,&nmax,&flg);CHKERRQ(ierr);
if (flg) {
for (i=0; i<nmax; i++) {
ierr = SNESCompositeAddSNES(snes,sneses[i]);CHKERRQ(ierr);
ierr = PetscFree(sneses[i]);CHKERRQ(ierr); /* deallocate string sneses[i], which is allocated in PetscOptionsStringArray() */
}
}
ierr = PetscOptionsRealArray("-snes_composite_damping","Damping of the additive composite solvers","SNESCompositeSetDamping",dmps,&nmax,&flg);CHKERRQ(ierr);
if (flg) {
for (i=0; i<nmax; i++) {
ierr = SNESCompositeSetDamping(snes,i,dmps[i]);CHKERRQ(ierr);
}
}
ierr = PetscOptionsReal("-snes_composite_stol","Step tolerance for restart on the additive composite solvers","",jac->stol,&jac->stol,NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-snes_composite_rtol","Residual tolerance for the additive composite solvers","",jac->rtol,&jac->rtol,NULL);CHKERRQ(ierr);
ierr = PetscOptionsTail();CHKERRQ(ierr);
next = jac->head;
while (next) {
ierr = SNESSetFromOptions(next->snes);CHKERRQ(ierr);
next = next->next;
}
PetscFunctionReturn(0);
}
int main(int argc,char **argv)
{
SNES snes; /* nonlinear solver context */
Vec x,r; /* solution, residual vectors */
Mat J; /* Jacobian matrix */
PetscErrorCode ierr;
PetscInt its;
PetscScalar *xx;
SNESConvergedReason reason;
PetscInitialize(&argc,&argv,(char *)0,help);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Create nonlinear solver context
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = SNESCreate(PETSC_COMM_WORLD,&snes);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Create matrix and vector data structures; set corresponding routines
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
/*
Create vectors for solution and nonlinear function
*/
ierr = VecCreate(PETSC_COMM_WORLD,&x);CHKERRQ(ierr);
ierr = VecSetSizes(x,PETSC_DECIDE,2);CHKERRQ(ierr);
ierr = VecSetFromOptions(x);CHKERRQ(ierr);
ierr = VecDuplicate(x,&r);CHKERRQ(ierr);
/*
Create Jacobian matrix data structure
*/
ierr = MatCreate(PETSC_COMM_WORLD,&J);CHKERRQ(ierr);
ierr = MatSetSizes(J,PETSC_DECIDE,PETSC_DECIDE,2,2);CHKERRQ(ierr);
ierr = MatSetFromOptions(J);CHKERRQ(ierr);
ierr = MatSetUp(J);CHKERRQ(ierr);
/*
Set function evaluation routine and vector.
*/
ierr = SNESSetFunction(snes,r,FormFunction1,PETSC_NULL);CHKERRQ(ierr);
/*
Set Jacobian matrix data structure and Jacobian evaluation routine
*/
ierr = SNESSetJacobian(snes,J,J,FormJacobian1,PETSC_NULL);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Customize nonlinear solver; set runtime options
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = SNESSetFromOptions(snes);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Evaluate initial guess; then solve nonlinear system
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = VecGetArray(x,&xx);CHKERRQ(ierr);
xx[0] = -1.2; xx[1] = 1.0;
ierr = VecRestoreArray(x,&xx);CHKERRQ(ierr);
/*
Note: The user should initialize the vector, x, with the initial guess
for the nonlinear solver prior to calling SNESSolve(). In particular,
to employ an initial guess of zero, the user should explicitly set
this vector to zero by calling VecSet().
*/
ierr = SNESSolve(snes,PETSC_NULL,x);CHKERRQ(ierr);
ierr = VecView(x,PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
ierr = SNESGetIterationNumber(snes,&its);CHKERRQ(ierr);
ierr = SNESGetConvergedReason(snes,&reason);CHKERRQ(ierr);
/*
Some systems computes a residual that is identically zero, thus converging
due to FNORM_ABS, others converge due to FNORM_RELATIVE. Here, we only
report the reason if the iteration did not converge so that the tests are
reproducible.
*/
ierr = PetscPrintf(PETSC_COMM_WORLD,"%s number of SNES iterations = %D\n\n",reason>0?"CONVERGED":SNESConvergedReasons[reason],its);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Free work space. All PETSc objects should be destroyed when they
are no longer needed.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = VecDestroy(&x);CHKERRQ(ierr); ierr = VecDestroy(&r);CHKERRQ(ierr);
ierr = MatDestroy(&J);CHKERRQ(ierr); ierr = SNESDestroy(&snes);CHKERRQ(ierr);
ierr = PetscFinalize();
return 0;
}
PetscErrorCode SNESSetFromOptions_FAS(PetscOptions *PetscOptionsObject,SNES snes)
{
SNES_FAS *fas = (SNES_FAS*) snes->data;
PetscInt levels = 1;
PetscBool flg = PETSC_FALSE, upflg = PETSC_FALSE, downflg = PETSC_FALSE, monflg = PETSC_FALSE, galerkinflg = PETSC_FALSE,continuationflg = PETSC_FALSE;
PetscErrorCode ierr;
char monfilename[PETSC_MAX_PATH_LEN];
SNESFASType fastype;
const char *optionsprefix;
SNESLineSearch linesearch;
PetscInt m, n_up, n_down;
SNES next;
PetscBool isFine;
PetscFunctionBegin;
ierr = SNESFASCycleIsFine(snes, &isFine);CHKERRQ(ierr);
ierr = PetscOptionsHead(PetscOptionsObject,"SNESFAS Options-----------------------------------");CHKERRQ(ierr);
/* number of levels -- only process most options on the finest level */
if (isFine) {
ierr = PetscOptionsInt("-snes_fas_levels", "Number of Levels", "SNESFASSetLevels", levels, &levels, &flg);CHKERRQ(ierr);
if (!flg && snes->dm) {
ierr = DMGetRefineLevel(snes->dm,&levels);CHKERRQ(ierr);
levels++;
fas->usedmfornumberoflevels = PETSC_TRUE;
}
ierr = SNESFASSetLevels(snes, levels, NULL);CHKERRQ(ierr);
fastype = fas->fastype;
ierr = PetscOptionsEnum("-snes_fas_type","FAS correction type","SNESFASSetType",SNESFASTypes,(PetscEnum)fastype,(PetscEnum*)&fastype,&flg);CHKERRQ(ierr);
if (flg) {
ierr = SNESFASSetType(snes, fastype);CHKERRQ(ierr);
}
ierr = SNESGetOptionsPrefix(snes, &optionsprefix);CHKERRQ(ierr);
ierr = PetscOptionsInt("-snes_fas_cycles","Number of cycles","SNESFASSetCycles",fas->n_cycles,&m,&flg);CHKERRQ(ierr);
if (flg) {
ierr = SNESFASSetCycles(snes, m);CHKERRQ(ierr);
}
ierr = PetscOptionsBool("-snes_fas_continuation","Corrected grid-sequence continuation","SNESFASSetContinuation",fas->continuation,&continuationflg,&flg);CHKERRQ(ierr);
if (flg) {
ierr = SNESFASSetContinuation(snes,continuationflg);CHKERRQ(ierr);
}
ierr = PetscOptionsBool("-snes_fas_galerkin", "Form coarse problems with Galerkin","SNESFASSetGalerkin",fas->galerkin,&galerkinflg,&flg);CHKERRQ(ierr);
if (flg) {
ierr = SNESFASSetGalerkin(snes, galerkinflg);CHKERRQ(ierr);
}
if (fas->fastype == SNES_FAS_FULL) {
ierr = PetscOptionsBool("-snes_fas_full_downsweep","Smooth on the initial upsweep for full FAS cycles","SNESFASFullSetDownSweep",fas->full_downsweep,&fas->full_downsweep,&flg);CHKERRQ(ierr);
if (flg) {SNESFASFullSetDownSweep(snes,fas->full_downsweep);CHKERRQ(ierr);}
}
ierr = PetscOptionsInt("-snes_fas_smoothup","Number of post-smoothing steps","SNESFASSetNumberSmoothUp",fas->max_up_it,&n_up,&upflg);CHKERRQ(ierr);
ierr = PetscOptionsInt("-snes_fas_smoothdown","Number of pre-smoothing steps","SNESFASSetNumberSmoothDown",fas->max_down_it,&n_down,&downflg);CHKERRQ(ierr);
ierr = PetscOptionsString("-snes_fas_monitor","Monitor FAS progress","SNESFASSetMonitor","stdout",monfilename,PETSC_MAX_PATH_LEN,&monflg);CHKERRQ(ierr);
if (monflg) ierr = SNESFASSetMonitor(snes, PETSC_TRUE);CHKERRQ(ierr);
flg = PETSC_FALSE;
monflg = PETSC_TRUE;
ierr = PetscOptionsBool("-snes_fas_log","Log times for each FAS level","SNESFASSetLog",monflg,&monflg,&flg);CHKERRQ(ierr);
if (flg) {ierr = SNESFASSetLog(snes,monflg);CHKERRQ(ierr);}
}
ierr = PetscOptionsTail();CHKERRQ(ierr);
/* setup from the determined types if there is no pointwise procedure or smoother defined */
if (upflg) {
ierr = SNESFASSetNumberSmoothUp(snes,n_up);CHKERRQ(ierr);
}
if (downflg) {
ierr = SNESFASSetNumberSmoothDown(snes,n_down);CHKERRQ(ierr);
}
/* set up the default line search for coarse grid corrections */
if (fas->fastype == SNES_FAS_ADDITIVE) {
if (!snes->linesearch) {
ierr = SNESGetLineSearch(snes, &linesearch);CHKERRQ(ierr);
ierr = SNESLineSearchSetType(linesearch, SNESLINESEARCHL2);CHKERRQ(ierr);
}
}
ierr = SNESFASCycleGetCorrection(snes, &next);CHKERRQ(ierr);
/* recursive option setting for the smoothers */
if (next) {ierr = SNESSetFromOptions(next);CHKERRQ(ierr);}
PetscFunctionReturn(0);
}
PetscErrorCode SNESSetUp_FAS(SNES snes)
{
SNES_FAS *fas = (SNES_FAS*) snes->data;
PetscErrorCode ierr;
PetscInt dm_levels;
Vec vec_sol, vec_func, vec_sol_update, vec_rhs; /* preserve these if they're set through the reset */
SNES next;
PetscBool isFine;
SNESLineSearch linesearch;
SNESLineSearch slinesearch;
void *lsprectx,*lspostctx;
PetscErrorCode (*precheck)(SNESLineSearch,Vec,Vec,PetscBool*,void*);
PetscErrorCode (*postcheck)(SNESLineSearch,Vec,Vec,Vec,PetscBool*,PetscBool*,void*);
PetscFunctionBegin;
ierr = SNESFASCycleIsFine(snes, &isFine);CHKERRQ(ierr);
if (fas->usedmfornumberoflevels && isFine) {
ierr = DMGetRefineLevel(snes->dm,&dm_levels);CHKERRQ(ierr);
dm_levels++;
if (dm_levels > fas->levels) {
/* we don't want the solution and func vectors to be destroyed in the SNESReset when it's called in SNESFASSetLevels_FAS*/
vec_sol = snes->vec_sol;
vec_func = snes->vec_func;
vec_sol_update = snes->vec_sol_update;
vec_rhs = snes->vec_rhs;
snes->vec_sol = NULL;
snes->vec_func = NULL;
snes->vec_sol_update = NULL;
snes->vec_rhs = NULL;
/* reset the number of levels */
ierr = SNESFASSetLevels(snes,dm_levels,NULL);CHKERRQ(ierr);
ierr = SNESSetFromOptions(snes);CHKERRQ(ierr);
snes->vec_sol = vec_sol;
snes->vec_func = vec_func;
snes->vec_rhs = vec_rhs;
snes->vec_sol_update = vec_sol_update;
}
}
ierr = SNESFASCycleGetCorrection(snes, &next);CHKERRQ(ierr);
if (!isFine) snes->gridsequence = 0; /* no grid sequencing inside the multigrid hierarchy! */
ierr = SNESSetWorkVecs(snes, 2);CHKERRQ(ierr); /* work vectors used for intergrid transfers */
/* set up the smoothers if they haven't already been set up */
if (!fas->smoothd) {
ierr = SNESFASCycleCreateSmoother_Private(snes, &fas->smoothd);CHKERRQ(ierr);
}
if (snes->dm) {
/* set the smoother DMs properly */
if (fas->smoothu) ierr = SNESSetDM(fas->smoothu, snes->dm);CHKERRQ(ierr);
ierr = SNESSetDM(fas->smoothd, snes->dm);CHKERRQ(ierr);
/* construct EVERYTHING from the DM -- including the progressive set of smoothers */
if (next) {
/* for now -- assume the DM and the evaluation functions have been set externally */
if (!next->dm) {
ierr = DMCoarsen(snes->dm, PetscObjectComm((PetscObject)next), &next->dm);CHKERRQ(ierr);
ierr = SNESSetDM(next, next->dm);CHKERRQ(ierr);
}
/* set the interpolation and restriction from the DM */
if (!fas->interpolate) {
ierr = DMCreateInterpolation(next->dm, snes->dm, &fas->interpolate, &fas->rscale);CHKERRQ(ierr);
if (!fas->restrct) {
ierr = PetscObjectReference((PetscObject)fas->interpolate);CHKERRQ(ierr);
fas->restrct = fas->interpolate;
}
}
/* set the injection from the DM */
if (!fas->inject) {
ierr = DMCreateInjection(next->dm, snes->dm, &fas->inject);CHKERRQ(ierr);
}
}
}
/*pass the smoother, function, and jacobian up to the next level if it's not user set already */
if (fas->galerkin) {
if (next) {
ierr = SNESSetFunction(next, NULL, SNESFASGalerkinDefaultFunction, next);CHKERRQ(ierr);
}
if (fas->smoothd && fas->level != fas->levels - 1) {
ierr = SNESSetFunction(fas->smoothd, NULL, SNESFASGalerkinDefaultFunction, snes);CHKERRQ(ierr);
}
if (fas->smoothu && fas->level != fas->levels - 1) {
ierr = SNESSetFunction(fas->smoothu, NULL, SNESFASGalerkinDefaultFunction, snes);CHKERRQ(ierr);
}
}
/* sets the down (pre) smoother's default norm and sets it from options */
if (fas->smoothd) {
if (fas->level == 0 && fas->levels != 1) {
ierr = SNESSetNormSchedule(fas->smoothd, SNES_NORM_NONE);CHKERRQ(ierr);
} else {
ierr = SNESSetNormSchedule(fas->smoothd, SNES_NORM_FINAL_ONLY);CHKERRQ(ierr);
}
ierr = PetscObjectCopyFortranFunctionPointers((PetscObject)snes, (PetscObject)fas->smoothd);CHKERRQ(ierr);
ierr = SNESSetFromOptions(fas->smoothd);CHKERRQ(ierr);
ierr = SNESGetLineSearch(snes,&linesearch);CHKERRQ(ierr);
ierr = SNESGetLineSearch(fas->smoothd,&slinesearch);CHKERRQ(ierr);
ierr = SNESLineSearchGetPreCheck(linesearch,&precheck,&lsprectx);CHKERRQ(ierr);
ierr = SNESLineSearchGetPostCheck(linesearch,&postcheck,&lspostctx);CHKERRQ(ierr);
ierr = SNESLineSearchSetPreCheck(slinesearch,precheck,lsprectx);CHKERRQ(ierr);
ierr = SNESLineSearchSetPostCheck(slinesearch,postcheck,lspostctx);CHKERRQ(ierr);
ierr = PetscObjectCopyFortranFunctionPointers((PetscObject)linesearch, (PetscObject)slinesearch);CHKERRQ(ierr);
fas->smoothd->vec_sol = snes->vec_sol;
ierr = PetscObjectReference((PetscObject)snes->vec_sol);CHKERRQ(ierr);
fas->smoothd->vec_sol_update = snes->vec_sol_update;
ierr = PetscObjectReference((PetscObject)snes->vec_sol_update);CHKERRQ(ierr);
fas->smoothd->vec_func = snes->vec_func;
ierr = PetscObjectReference((PetscObject)snes->vec_func);CHKERRQ(ierr);
if (fas->eventsmoothsetup) {ierr = PetscLogEventBegin(fas->eventsmoothsetup,0,0,0,0);CHKERRQ(ierr);}
ierr = SNESSetUp(fas->smoothd);CHKERRQ(ierr);
if (fas->eventsmoothsetup) {ierr = PetscLogEventEnd(fas->eventsmoothsetup,0,0,0,0);CHKERRQ(ierr);}
}
/* sets the up (post) smoother's default norm and sets it from options */
if (fas->smoothu) {
if (fas->level != fas->levels - 1) {
ierr = SNESSetNormSchedule(fas->smoothu, SNES_NORM_NONE);CHKERRQ(ierr);
} else {
ierr = SNESSetNormSchedule(fas->smoothu, SNES_NORM_FINAL_ONLY);CHKERRQ(ierr);
}
ierr = PetscObjectCopyFortranFunctionPointers((PetscObject)snes, (PetscObject)fas->smoothu);CHKERRQ(ierr);
ierr = SNESSetFromOptions(fas->smoothu);CHKERRQ(ierr);
ierr = SNESGetLineSearch(snes,&linesearch);CHKERRQ(ierr);
ierr = SNESGetLineSearch(fas->smoothu,&slinesearch);CHKERRQ(ierr);
ierr = SNESLineSearchGetPreCheck(linesearch,&precheck,&lsprectx);CHKERRQ(ierr);
ierr = SNESLineSearchGetPostCheck(linesearch,&postcheck,&lspostctx);CHKERRQ(ierr);
ierr = SNESLineSearchSetPreCheck(slinesearch,precheck,lsprectx);CHKERRQ(ierr);
ierr = SNESLineSearchSetPostCheck(slinesearch,postcheck,lspostctx);CHKERRQ(ierr);
ierr = PetscObjectCopyFortranFunctionPointers((PetscObject)linesearch, (PetscObject)slinesearch);CHKERRQ(ierr);
fas->smoothu->vec_sol = snes->vec_sol;
ierr = PetscObjectReference((PetscObject)snes->vec_sol);CHKERRQ(ierr);
fas->smoothu->vec_sol_update = snes->vec_sol_update;
ierr = PetscObjectReference((PetscObject)snes->vec_sol_update);CHKERRQ(ierr);
fas->smoothu->vec_func = snes->vec_func;
ierr = PetscObjectReference((PetscObject)snes->vec_func);CHKERRQ(ierr);
if (fas->eventsmoothsetup) {ierr = PetscLogEventBegin(fas->eventsmoothsetup,0,0,0,0);CHKERRQ(ierr);}
ierr = SNESSetUp(fas->smoothu);CHKERRQ(ierr);
if (fas->eventsmoothsetup) {ierr = PetscLogEventEnd(fas->eventsmoothsetup,0,0,0,0);CHKERRQ(ierr);}
}
if (next) {
/* gotta set up the solution vector for this to work */
if (!next->vec_sol) {ierr = SNESFASCreateCoarseVec(snes,&next->vec_sol);CHKERRQ(ierr);}
if (!next->vec_rhs) {ierr = SNESFASCreateCoarseVec(snes,&next->vec_rhs);CHKERRQ(ierr);}
ierr = PetscObjectCopyFortranFunctionPointers((PetscObject)snes, (PetscObject)next);CHKERRQ(ierr);
ierr = SNESGetLineSearch(snes,&linesearch);CHKERRQ(ierr);
ierr = SNESGetLineSearch(fas->next,&slinesearch);CHKERRQ(ierr);
ierr = SNESLineSearchGetPreCheck(linesearch,&precheck,&lsprectx);CHKERRQ(ierr);
ierr = SNESLineSearchGetPostCheck(linesearch,&postcheck,&lspostctx);CHKERRQ(ierr);
ierr = SNESLineSearchSetPreCheck(slinesearch,precheck,lsprectx);CHKERRQ(ierr);
ierr = SNESLineSearchSetPostCheck(slinesearch,postcheck,lspostctx);CHKERRQ(ierr);
ierr = PetscObjectCopyFortranFunctionPointers((PetscObject)linesearch, (PetscObject)slinesearch);CHKERRQ(ierr);
ierr = SNESSetUp(next);CHKERRQ(ierr);
}
/* setup FAS work vectors */
if (fas->galerkin) {
ierr = VecDuplicate(snes->vec_sol, &fas->Xg);CHKERRQ(ierr);
ierr = VecDuplicate(snes->vec_sol, &fas->Fg);CHKERRQ(ierr);
}
PetscFunctionReturn(0);
}
int main(int argc, char **argv)
{
MPI_Comm comm;
PetscMPIInt rank;
PetscErrorCode ierr;
User user;
PetscLogDouble v1, v2;
PetscInt nplot = 0;
char filename1[2048], fileName[2048];
PetscBool set = PETSC_FALSE;
PetscInt steps_output;
ierr = PetscInitialize(&argc, &argv, (char*) 0, help);CHKERRQ(ierr);
comm = PETSC_COMM_WORLD;
ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr);
ierr = PetscNew(&user);CHKERRQ(ierr);
ierr = PetscNew(&user->algebra);CHKERRQ(ierr);
ierr = PetscNew(&user->model);CHKERRQ(ierr);
ierr = PetscNew(&user->model->physics);CHKERRQ(ierr);
Algebra algebra = user->algebra;
ierr = LoadOptions(comm, user);CHKERRQ(ierr);
ierr = PetscTime(&v1);CHKERRQ(ierr);
ierr = CreateMesh(comm, user);CHKERRQ(ierr);
ierr = PetscTime(&v2);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD,
"Read and Distribute mesh takes %f sec \n", v2 - v1);CHKERRQ(ierr);
ierr = SetUpLocalSpace(user);CHKERRQ(ierr); //Set up the dofs of each element
ierr = ConstructGeometryFVM(&user->facegeom, &user->cellgeom, user);CHKERRQ(ierr);
ierr = LimiterSetup(user);CHKERRQ(ierr);
if(user->output_solution){
// the output file options
ierr = PetscOptionsBegin(PETSC_COMM_WORLD,0,"Options for output solution",0);CHKERRQ(ierr);
ierr = PetscOptionsString("-solutionfile", "solution file", "AeroSim.c", filename1,filename1, 2048, &set);CHKERRQ(ierr);
if(!set){SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_NULL,"please use option -solutionfile to specify solution file name \n");}
ierr = PetscOptionsInt("-steps_output", "the number of time steps between two outputs", "", steps_output, &steps_output, &set);CHKERRQ(ierr);
if(!set){ steps_output = 1;}
ierr = PetscOptionsEnd();CHKERRQ(ierr);
}
if (user->TimeIntegralMethod == EXPLICITMETHOD) {
if(user->myownexplicitmethod){
ierr = PetscPrintf(PETSC_COMM_WORLD,"Using the fully explicit method based on my own routing\n");CHKERRQ(ierr);
user->current_time = user->initial_time;
user->current_step = 1;
ierr = DMCreateGlobalVector(user->dm, &algebra->solution);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) algebra->solution, "solution");CHKERRQ(ierr);
ierr = SetInitialCondition(user->dm, algebra->solution, user);CHKERRQ(ierr);
ierr = VecDuplicate(algebra->solution, &algebra->fn);CHKERRQ(ierr);
ierr = VecDuplicate(algebra->solution, &algebra->oldsolution);CHKERRQ(ierr);
if(user->Explicit_RK2){
ierr = PetscPrintf(PETSC_COMM_WORLD,"Use the second order Runge Kutta method \n");CHKERRQ(ierr);
}else{
ierr = PetscPrintf(PETSC_COMM_WORLD,"Use the first order forward Euler method \n");CHKERRQ(ierr);
}
nplot = 0; //the plot step
while(user->current_time < (user->final_time - 0.05 * user->dt)){
user->current_time = user->current_time + user->dt;
ierr = FormTimeStepFunction(user, algebra, algebra->solution, algebra->fn);CHKERRQ(ierr);
PetscReal fnnorm;
ierr = VecNorm(algebra->fn,NORM_INFINITY,&fnnorm);CHKERRQ(ierr);
if(0){
PetscViewer viewer;
ierr = OutputVTK(user->dm, "function.vtk", &viewer);CHKERRQ(ierr);
ierr = VecView(algebra->fn, viewer);CHKERRQ(ierr);
ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD,"Step %D at time %g with founction norm = %g \n",
user->current_step, user->current_time, fnnorm);CHKERRQ(ierr);
//break;
}
if(user->Explicit_RK2){
ierr = VecCopy(algebra->solution, algebra->oldsolution);CHKERRQ(ierr);//U^n
ierr = VecAXPY(algebra->solution, user->dt, algebra->fn);CHKERRQ(ierr);//U^{(1)}
ierr = FormTimeStepFunction(user, algebra, algebra->solution, algebra->fn);CHKERRQ(ierr);//f(U^{(1)})
ierr = VecAXPY(algebra->solution, 1.0, algebra->oldsolution);CHKERRQ(ierr);//U^n + U^{(1)}
ierr = VecAXPY(algebra->solution, user->dt, algebra->fn);CHKERRQ(ierr);// + dt*f(U^{(1)})
ierr = VecScale(algebra->solution, 0.5);CHKERRQ(ierr);
}else{
ierr = VecCopy(algebra->solution, algebra->oldsolution);CHKERRQ(ierr);
ierr = VecAXPY(algebra->solution, user->dt, algebra->fn);CHKERRQ(ierr);
}
{// Monitor the solution and function norms
PetscReal norm;
PetscLogDouble space =0;
PetscInt size;
ierr = VecNorm(algebra->solution,NORM_INFINITY,&norm);CHKERRQ(ierr);
ierr = VecGetSize(algebra->solution, &size);CHKERRQ(ierr);
norm = norm/size;
if (norm>1.e5) {
SETERRQ2(PETSC_COMM_WORLD, PETSC_ERR_LIB,
"The norm of the solution is: %f (current time: %f). The explicit method is going to DIVERGE!!!", norm, user->current_time);
}
if (user->current_step%10==0) {
ierr = PetscPrintf(PETSC_COMM_WORLD,"Step %D at time %g with solution norm = %g and founction norm = %g \n",
user->current_step, user->current_time, norm, fnnorm);CHKERRQ(ierr);
}
ierr = PetscMallocGetCurrentUsage(&space);CHKERRQ(ierr);
// if (user->current_step%10==0) {
// ierr = PetscPrintf(PETSC_COMM_WORLD,"Current space PetscMalloc()ed %g M\n",
// space/(1024*1024));CHKERRQ(ierr);
// }
}
{ // Monitor the difference of two steps' solution
PetscReal norm;
ierr = VecAXPY(algebra->oldsolution, -1, algebra->solution);CHKERRQ(ierr);
ierr = VecNorm(algebra->oldsolution,NORM_INFINITY,&norm);CHKERRQ(ierr);
if (user->current_step%10==0) {
ierr = PetscPrintf(PETSC_COMM_WORLD,"Step %D at time %g with ||u_k-u_{k-1}|| = %g \n",
user->current_step, user->current_time, norm);CHKERRQ(ierr);
}
if((norm<1.e-6)||(user->current_step > user->max_time_its)) break;
}
// output the solution
if (user->output_solution && (user->current_step%steps_output==0)){
PetscViewer viewer;
// update file name for the current time step
ierr = PetscSNPrintf(fileName, sizeof(fileName),"%s_%d.vtk",filename1, nplot);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD,"Outputing solution %s (current time %f)\n", fileName, user->current_time);CHKERRQ(ierr);
ierr = OutputVTK(user->dm, fileName, &viewer);CHKERRQ(ierr);
ierr = VecView(algebra->solution, viewer);CHKERRQ(ierr);
ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
nplot++;
}
user->current_step++;
}
ierr = VecDestroy(&algebra->fn);CHKERRQ(ierr);
}else{
PetscReal ftime;
TS ts;
TSConvergedReason reason;
PetscInt nsteps;
ierr = PetscPrintf(PETSC_COMM_WORLD,"Using the fully explicit method based on the PETSC TS routing\n");CHKERRQ(ierr);
ierr = DMCreateGlobalVector(user->dm, &algebra->solution);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) algebra->solution, "solution");CHKERRQ(ierr);
ierr = SetInitialCondition(user->dm, algebra->solution, user);CHKERRQ(ierr);
ierr = TSCreate(comm, &ts);CHKERRQ(ierr);
ierr = TSSetType(ts, TSEULER);CHKERRQ(ierr);
ierr = TSSetDM(ts, user->dm);CHKERRQ(ierr);
ierr = TSMonitorSet(ts,TSMonitorFunctionError,&user,NULL);CHKERRQ(ierr);
ierr = TSSetRHSFunction(ts, NULL, MyRHSFunction, user);CHKERRQ(ierr);
ierr = TSSetDuration(ts, 1000, user->final_time);CHKERRQ(ierr);
ierr = TSSetInitialTimeStep(ts, user->initial_time, user->dt);CHKERRQ(ierr);
ierr = TSSetFromOptions(ts);CHKERRQ(ierr);
ierr = TSSolve(ts, algebra->solution);CHKERRQ(ierr);
ierr = TSGetSolveTime(ts, &ftime);CHKERRQ(ierr);
ierr = TSGetTimeStepNumber(ts, &nsteps);CHKERRQ(ierr);
ierr = TSGetConvergedReason(ts, &reason);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD,"%s at time %g after %D steps\n",TSConvergedReasons[reason],ftime,nsteps);CHKERRQ(ierr);
ierr = TSDestroy(&ts);CHKERRQ(ierr);
}
if(user->benchmark_couette) {
ierr = DMCreateGlobalVector(user->dm, &algebra->exactsolution);CHKERRQ(ierr);
ierr = ComputeExactSolution(user->dm, user->final_time, algebra->exactsolution, user);CHKERRQ(ierr);
}
if (user->output_solution){
PetscViewer viewer;
ierr = OutputVTK(user->dm, "solution.vtk", &viewer);CHKERRQ(ierr);
ierr = VecView(algebra->solution, viewer);CHKERRQ(ierr);
ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
}
if(user->benchmark_couette) {
PetscViewer viewer;
PetscReal norm;
ierr = OutputVTK(user->dm, "exact_solution.vtk", &viewer);CHKERRQ(ierr);
ierr = VecView(algebra->exactsolution, viewer);CHKERRQ(ierr);
ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
ierr = VecAXPY(algebra->exactsolution, -1, algebra->solution);CHKERRQ(ierr);
ierr = VecNorm(algebra->exactsolution,NORM_INFINITY,&norm);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD,"Final time at %f, Error: ||u_k-u|| = %g \n", user->final_time, norm);CHKERRQ(ierr);
ierr = OutputVTK(user->dm, "Error.vtk", &viewer);CHKERRQ(ierr);
ierr = VecView(algebra->exactsolution, viewer);CHKERRQ(ierr);
ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
}
ierr = VecDestroy(&algebra->solution);CHKERRQ(ierr);
ierr = VecDestroy(&algebra->oldsolution);CHKERRQ(ierr);
ierr = DMDestroy(&user->dm);CHKERRQ(ierr);
} else if (user->TimeIntegralMethod == IMPLICITMETHOD) {
ierr = PetscPrintf(PETSC_COMM_WORLD,"Using the fully implicit method\n");CHKERRQ(ierr);
ierr = SNESCreate(comm,&user->snes);CHKERRQ(ierr);
ierr = SNESSetDM(user->snes,user->dm);CHKERRQ(ierr);
ierr = DMCreateGlobalVector(user->dm, &algebra->solution);CHKERRQ(ierr);
ierr = VecDuplicate(algebra->solution, &algebra->oldsolution);CHKERRQ(ierr);
ierr = VecDuplicate(algebra->solution, &algebra->f);CHKERRQ(ierr);
ierr = VecDuplicate(algebra->solution, &algebra->fn);CHKERRQ(ierr);
ierr = VecDuplicate(algebra->solution, &algebra->oldfn);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) algebra->solution, "solution");CHKERRQ(ierr);
ierr = SetInitialCondition(user->dm, algebra->solution, user);CHKERRQ(ierr);
ierr = DMSetMatType(user->dm, MATAIJ);CHKERRQ(ierr);
// ierr = DMCreateMatrix(user->dm, &algebra->A);CHKERRQ(ierr);
ierr = DMCreateMatrix(user->dm, &algebra->J);CHKERRQ(ierr);
if (user->JdiffP) {
/*Set up the preconditioner matrix*/
ierr = DMCreateMatrix(user->dm, &algebra->P);CHKERRQ(ierr);
}else{
algebra->P = algebra->J;
}
ierr = MatSetOption(algebra->J, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE);CHKERRQ(ierr);
/*set nonlinear function */
ierr = SNESSetFunction(user->snes, algebra->f, FormFunction, (void*)user);CHKERRQ(ierr);
/* compute Jacobian */
ierr = SNESSetJacobian(user->snes, algebra->J, algebra->P, FormJacobian, (void*)user);CHKERRQ(ierr);
ierr = SNESSetFromOptions(user->snes);CHKERRQ(ierr);
/* do the solve */
if (user->timestep == TIMESTEP_STEADY_STATE) {
ierr = SolveSteadyState(user);CHKERRQ(ierr);
} else {
ierr = SolveTimeDependent(user);CHKERRQ(ierr);
}
if (user->output_solution){
PetscViewer viewer;
ierr = OutputVTK(user->dm, "solution.vtk", &viewer);CHKERRQ(ierr);
ierr = VecView(algebra->solution, viewer);CHKERRQ(ierr);
ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
}
if(user->benchmark_couette) {
PetscViewer viewer;
PetscReal norm;
ierr = OutputVTK(user->dm, "exact_solution.vtk", &viewer);CHKERRQ(ierr);
ierr = VecView(algebra->exactsolution, viewer);CHKERRQ(ierr);
ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
ierr = VecAXPY(algebra->exactsolution, -1, algebra->solution);CHKERRQ(ierr);
ierr = VecNorm(algebra->exactsolution,NORM_INFINITY,&norm);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD,"Error: ||u_k-u|| = %g \n", norm);CHKERRQ(ierr);
ierr = OutputVTK(user->dm, "Error.vtk", &viewer);CHKERRQ(ierr);
ierr = VecView(algebra->exactsolution, viewer);CHKERRQ(ierr);
ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
}
ierr = VecDestroy(&algebra->solution);CHKERRQ(ierr);
ierr = VecDestroy(&algebra->f);CHKERRQ(ierr);
ierr = VecDestroy(&algebra->oldsolution);CHKERRQ(ierr);
ierr = VecDestroy(&algebra->fn);CHKERRQ(ierr);
ierr = VecDestroy(&algebra->oldfn);CHKERRQ(ierr);
ierr = SNESDestroy(&user->snes);CHKERRQ(ierr);
ierr = DMDestroy(&user->dm);CHKERRQ(ierr);
} else {
SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"WRONG option for the time integral method. Using the option '-time_integral_method 0 or 1'");
}
ierr = VecDestroy(&user->cellgeom);CHKERRQ(ierr);
ierr = VecDestroy(&user->facegeom);CHKERRQ(ierr);
ierr = DMDestroy(&user->dmGrad);CHKERRQ(ierr);
ierr = PetscFunctionListDestroy(&LimitList);CHKERRQ(ierr);
ierr = PetscFree(user->model->physics);CHKERRQ(ierr);
ierr = PetscFree(user->algebra);CHKERRQ(ierr);
ierr = PetscFree(user->model);CHKERRQ(ierr);
ierr = PetscFree(user);CHKERRQ(ierr);
{
PetscLogDouble space =0;
ierr = PetscMallocGetCurrentUsage(&space);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD,"Unfreed space at the End %g M\n", space/(1024*1024));CHKERRQ(ierr);
}
ierr = PetscFinalize();
return(0);
}
