/*@C
DMMGDestroy - Destroys a DA based multigrid solver object.
Collective on DMMG
Input Parameter:
. - the context
Level: advanced
.seealso DMMGCreate()
@*/
PetscErrorCode PETSCSNES_DLLEXPORT DMMGDestroy(DMMG *dmmg)
{
PetscErrorCode ierr;
PetscInt i,nlevels = dmmg[0]->nlevels;
PetscFunctionBegin;
if (!dmmg) SETERRQ(PETSC_ERR_ARG_NULL,"Passing null as DMMG");
for (i=1; i<nlevels; i++) {
if (dmmg[i]->R) {ierr = MatDestroy(dmmg[i]->R);CHKERRQ(ierr);}
}
for (i=0; i<nlevels; i++) {
ierr = PetscStrfree(dmmg[i]->prefix);CHKERRQ(ierr);
ierr = PetscStrfree(dmmg[i]->mtype);CHKERRQ(ierr);
if (dmmg[i]->dm) {ierr = DMDestroy(dmmg[i]->dm);CHKERRQ(ierr);}
if (dmmg[i]->x) {ierr = VecDestroy(dmmg[i]->x);CHKERRQ(ierr);}
if (dmmg[i]->b) {ierr = VecDestroy(dmmg[i]->b);CHKERRQ(ierr);}
if (dmmg[i]->r) {ierr = VecDestroy(dmmg[i]->r);CHKERRQ(ierr);}
if (dmmg[i]->work1) {ierr = VecDestroy(dmmg[i]->work1);CHKERRQ(ierr);}
if (dmmg[i]->w) {ierr = VecDestroy(dmmg[i]->w);CHKERRQ(ierr);}
if (dmmg[i]->work2) {ierr = VecDestroy(dmmg[i]->work2);CHKERRQ(ierr);}
if (dmmg[i]->lwork1) {ierr = VecDestroy(dmmg[i]->lwork1);CHKERRQ(ierr);}
if (dmmg[i]->B) {ierr = MatDestroy(dmmg[i]->B);CHKERRQ(ierr);}
if (dmmg[i]->J) {ierr = MatDestroy(dmmg[i]->J);CHKERRQ(ierr);}
if (dmmg[i]->Rscale) {ierr = VecDestroy(dmmg[i]->Rscale);CHKERRQ(ierr);}
if (dmmg[i]->fdcoloring){ierr = MatFDColoringDestroy(dmmg[i]->fdcoloring);CHKERRQ(ierr);}
if (dmmg[i]->ksp && !dmmg[i]->snes) {ierr = KSPDestroy(dmmg[i]->ksp);CHKERRQ(ierr);}
if (dmmg[i]->snes) {ierr = PetscObjectDestroy((PetscObject)dmmg[i]->snes);CHKERRQ(ierr);}
if (dmmg[i]->inject) {ierr = VecScatterDestroy(dmmg[i]->inject);CHKERRQ(ierr);}
ierr = PetscFree(dmmg[i]);CHKERRQ(ierr);
}
ierr = PetscFree(dmmg);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
int main(int argc,char **args)
{
Mat A,Asp;
PetscViewer fd; /* viewer */
char file[PETSC_MAX_PATH_LEN]; /* input file name */
PetscErrorCode ierr;
PetscInt m,n,rstart,rend;
PetscBool flg;
PetscInt row,ncols,j,nrows,nnzA=0,nnzAsp=0;
const PetscInt *cols;
const PetscScalar *vals;
PetscReal norm,percent,val,dtol=1.e-16;
PetscMPIInt rank;
MatInfo matinfo;
PetscInt Dnnz,Onnz;
PetscInitialize(&argc,&args,(char *)0,help);
ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr);
/* Determine files from which we read the linear systems. */
ierr = PetscOptionsGetString(PETSC_NULL,"-f",file,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
if (!flg) SETERRQ(PETSC_COMM_WORLD,1,"Must indicate binary file with the -f option");
/* Open binary file. Note that we use FILE_MODE_READ to indicate
reading from this file. */
ierr = PetscViewerBinaryOpen(PETSC_COMM_WORLD,file,FILE_MODE_READ,&fd);CHKERRQ(ierr);
/* Load the matrix; then destroy the viewer. */
ierr = MatCreate(PETSC_COMM_WORLD,&A);CHKERRQ(ierr);
ierr = MatSetOptionsPrefix(A,"a_");CHKERRQ(ierr);
ierr = MatSetFromOptions(A);CHKERRQ(ierr);
ierr = MatLoad(A,fd);CHKERRQ(ierr);
ierr = PetscViewerDestroy(&fd);CHKERRQ(ierr);
ierr = MatGetSize(A,&m,&n);CHKERRQ(ierr);
ierr = MatGetInfo(A,MAT_LOCAL,&matinfo);CHKERRQ(ierr);
//printf("matinfo.nz_used %g\n",matinfo.nz_used);
/* Get a sparse matrix Asp by dumping zero entries of A */
ierr = MatCreate(PETSC_COMM_WORLD,&Asp);CHKERRQ(ierr);
ierr = MatSetSizes(Asp,m,n,PETSC_DECIDE,PETSC_DECIDE);CHKERRQ(ierr);
ierr = MatSetOptionsPrefix(Asp,"asp_");CHKERRQ(ierr);
ierr = MatSetFromOptions(Asp);CHKERRQ(ierr);
Dnnz = (PetscInt)matinfo.nz_used/m + 1;
Onnz = Dnnz/2;
printf("Dnnz %d %d\n",Dnnz,Onnz);
ierr = MatSeqAIJSetPreallocation(Asp,Dnnz,PETSC_NULL);CHKERRQ(ierr);
ierr = MatMPIAIJSetPreallocation(Asp,Dnnz,PETSC_NULL,Onnz,PETSC_NULL);CHKERRQ(ierr);
/* Check zero rows */
ierr = MatGetOwnershipRange(A,&rstart,&rend);CHKERRQ(ierr);
nrows = 0;
for (row=rstart; row<rend; row++){
ierr = MatGetRow(A,row,&ncols,&cols,&vals);CHKERRQ(ierr);
nnzA += ncols;
norm = 0.0;
for (j=0; j<ncols; j++){
val = PetscAbsScalar(vals[j]);
if (norm < val) norm = norm;
if (val > dtol){
ierr = MatSetValues(Asp,1,&row,1,&cols[j],&vals[j],INSERT_VALUES);CHKERRQ(ierr);
nnzAsp++;
}
}
if (!norm) nrows++;
ierr = MatRestoreRow(A,row,&ncols,&cols,&vals);CHKERRQ(ierr);
}
ierr = MatAssemblyBegin(Asp,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
ierr = MatAssemblyEnd(Asp,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
percent=(PetscReal)nnzA*100/(m*n);
ierr = PetscPrintf(PETSC_COMM_SELF," [%d] Matrix A local size %d,%d; nnzA %d, %g percent; No. of zero rows: %d\n",rank,m,n,nnzA,percent,nrows);
percent=(PetscReal)nnzAsp*100/(m*n);
ierr = PetscPrintf(PETSC_COMM_SELF," [%d] Matrix Asp nnzAsp %d, %g percent\n",rank,nnzAsp,percent);
/* investigate matcoloring for Asp */
PetscBool Asp_coloring = PETSC_FALSE;
ierr = PetscOptionsHasName(PETSC_NULL,"-Asp_color",&Asp_coloring);CHKERRQ(ierr);
if (Asp_coloring){
ISColoring iscoloring;
MatFDColoring matfdcoloring;
ierr = PetscPrintf(PETSC_COMM_WORLD," Create coloring of Asp...\n");
ierr = MatGetColoring(Asp,MATCOLORINGSL,&iscoloring);CHKERRQ(ierr);
ierr = MatFDColoringCreate(Asp,iscoloring,&matfdcoloring);CHKERRQ(ierr);
ierr = MatFDColoringSetFromOptions(matfdcoloring);CHKERRQ(ierr);
//ierr = MatFDColoringView(matfdcoloring,PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
ierr = MatFDColoringDestroy(&matfdcoloring);CHKERRQ(ierr);
}
/* Write Asp in binary for study - see ~petsc/src/mat/examples/tests/ex124.c */
PetscBool Asp_write = PETSC_FALSE;
ierr = PetscOptionsHasName(PETSC_NULL,"-Asp_write",&Asp_write);CHKERRQ(ierr);
if (Asp_write){
PetscViewer viewer;
ierr = PetscPrintf(PETSC_COMM_SELF,"Write Asp into file Asp.dat ...\n");
ierr = PetscViewerBinaryOpen(PETSC_COMM_WORLD,"Asp.dat",FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
ierr = MatView(Asp,viewer);CHKERRQ(ierr);
ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
}
ierr = MatDestroy(&A);CHKERRQ(ierr);
ierr = MatDestroy(&Asp);CHKERRQ(ierr);
ierr = PetscFinalize();
return 0;
}
int main(int argc,char **argv)
{
PetscErrorCode ierr;
DM da; /* structured grid topology object */
TS ts; /* time-stepping object (contains snes) */
SNES snes; /* Newton solver object */
Vec X,residual; /* solution, residual */
Mat J; /* Jacobian matrix */
PetscInt Mx,My,fsteps,steps;
ISColoring iscoloring;
PetscReal tstart,tend,ftime,secperday=3600.0*24.0,Y0;
PetscBool fdflg = PETSC_FALSE, mfileflg = PETSC_FALSE, optflg = PETSC_FALSE;
char mfile[PETSC_MAX_PATH_LEN] = "out.m";
MatFDColoring matfdcoloring;
PorousCtx user; /* user-defined work context */
PetscInitialize(&argc,&argv,(char *)0,help);
ierr = DMDACreate2d(PETSC_COMM_WORLD,
DMDA_BOUNDARY_NONE, DMDA_BOUNDARY_NONE, // correct for zero Dirichlet
DMDA_STENCIL_STAR, // nonlinear diffusion but diffusivity
// depends on soln W not grad W
-21,-21, // default to 20x20 grid but override with
// -da_grid_x, -da_grid_y (or -da_refine)
PETSC_DECIDE,PETSC_DECIDE, // num of procs in each dim
2, // dof = 2: node = (W,Y)
// or node = (P,dPsqr)
// or node = (ddxE,ddyN)
1, // s = 1 (stencil extends out one cell)
PETSC_NULL,PETSC_NULL, // no specify proc decomposition
&da);CHKERRQ(ierr);
ierr = DMSetApplicationContext(da,&user);CHKERRQ(ierr);
/* get Vecs and Mats for this grid */
ierr = DMCreateGlobalVector(da,&X);CHKERRQ(ierr);
ierr = VecDuplicate(X,&residual);CHKERRQ(ierr);
ierr = VecDuplicate(X,&user.geom);CHKERRQ(ierr);
ierr = DMGetMatrix(da,MATAIJ,&J);CHKERRQ(ierr);
/* set up contexts */
tstart = 10.0 * secperday; /* 10 days in seconds */
tend = 30.0 * secperday;
steps = 20;
Y0 = 1.0; /* initial value of Y, for computing initial
value of P; note Ymin = 0.1 is different */
user.da = da;
ierr = DefaultContext(&user);CHKERRQ(ierr);
ierr = PetscOptionsBegin(PETSC_COMM_WORLD,
"","options to (W,P)-space better hydrology model alt","");CHKERRQ(ierr);
{
ierr = PetscOptionsReal("-alt_sigma","nonlinear power","",
user.sigma,&user.sigma,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-alt_Ymin",
"min capacity thickness (esp. in pressure computation)","",
user.Ymin,&user.Ymin,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-alt_Wmin",
"min water amount (esp. in pressure computation)","",
user.Wmin,&user.Wmin,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-alt_Y0",
"constant initial capacity thickness","",
Y0,&Y0,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-alt_Cmelt",
"additional coefficient for amount of melt","",
user.Cmelt,&user.Cmelt,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-alt_Creep",
"creep closure coefficient","",
user.Creep,&user.Creep,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-alt_L","half-width of square region in meters","",
user.L,&user.L,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-alt_tstart_days","start time in days","",
tstart/secperday,&tstart,&optflg);CHKERRQ(ierr);
if (optflg) { tstart *= secperday; }
ierr = PetscOptionsReal("-alt_tend_days","end time in days","",
tend/secperday,&tend,&optflg);CHKERRQ(ierr);
if (optflg) { tend *= secperday; }
ierr = PetscOptionsInt("-alt_steps","number of timesteps to take","",
steps,&steps,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsBool("-alt_converge_check",
"run silent and check for convergence",
"",user.run_silent,&user.run_silent,PETSC_NULL);
CHKERRQ(ierr);
ierr = PetscOptionsString("-mfile",
"name of Matlab file to write results","",
mfile,mfile,PETSC_MAX_PATH_LEN,&mfileflg);
CHKERRQ(ierr);
}
ierr = PetscOptionsEnd();CHKERRQ(ierr);
/* fix remaining parameters */
ierr = DerivedConstants(&user);CHKERRQ(ierr);
ierr = VecStrideSet(user.geom,0,user.H0);CHKERRQ(ierr); /* H(x,y) = H0 */
ierr = VecStrideSet(user.geom,1,0.0);CHKERRQ(ierr); /* b(x,y) = 0 */
ierr = DMDASetUniformCoordinates(da, // square domain
-user.L, user.L, -user.L, user.L, 0.0, 1.0);CHKERRQ(ierr);
ierr = DMDAGetInfo(da,PETSC_IGNORE,&Mx,&My,
PETSC_IGNORE,PETSC_IGNORE,PETSC_IGNORE,
PETSC_IGNORE,PETSC_IGNORE,PETSC_IGNORE,PETSC_IGNORE,
PETSC_IGNORE,PETSC_IGNORE,PETSC_IGNORE);CHKERRQ(ierr);
user.dx = 2.0 * user.L / (Mx-1);
user.dy = 2.0 * user.L / (My-1);
/* setup TS = timestepping object */
ierr = TSCreate(PETSC_COMM_WORLD,&ts);CHKERRQ(ierr);
ierr = TSSetType(ts,TSCN);CHKERRQ(ierr);
ierr = TSSetRHSFunction(ts,residual,RHSFunction,&user);CHKERRQ(ierr);
/* use coloring to compute rhs Jacobian efficiently */
ierr = PetscOptionsGetBool(PETSC_NULL,"-fd",&fdflg,PETSC_NULL);CHKERRQ(ierr);
if (fdflg){
ierr = DMGetColoring(da,IS_COLORING_GLOBAL,MATAIJ,&iscoloring);CHKERRQ(ierr);
ierr = MatFDColoringCreate(J,iscoloring,&matfdcoloring);CHKERRQ(ierr);
ierr = MatFDColoringSetFromOptions(matfdcoloring);CHKERRQ(ierr);
ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
ierr = MatFDColoringSetFunction(matfdcoloring,
(PetscErrorCode (*)(void))RHSFunction,&user);CHKERRQ(ierr);
ierr = TSSetRHSJacobian(ts,J,J,TSDefaultComputeJacobianColor,
matfdcoloring);CHKERRQ(ierr);
} else { /* default case */
ierr = TSSetRHSJacobian(ts,J,J,RHSJacobian,&user);CHKERRQ(ierr);
}
/* set initial state: W = barenblatt, P = pi (W/Y0)^sigma */
ierr = InitialState(da,&user,tstart,Y0,X);CHKERRQ(ierr);
/* set up times for time-stepping */
ierr = TSSetInitialTimeStep(ts,tstart,
(tend - tstart) / (PetscReal)steps);CHKERRQ(ierr);
ierr = TSSetDuration(ts,steps,tend);CHKERRQ(ierr);
ierr = TSSetExactFinalTime(ts,PETSC_TRUE);CHKERRQ(ierr);
ierr = TSMonitorSet(ts,MyTSMonitor,&user,PETSC_NULL);CHKERRQ(ierr);
/* Set SNESVI type and supply upper and lower bounds. */
ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
ierr = SNESVISetComputeVariableBounds(snes,FormPositivityBounds);
CHKERRQ(ierr);
/* ask user to finalize settings */
ierr = TSSetFromOptions(ts);CHKERRQ(ierr);
/* report on setup */
if (!user.run_silent) {
ierr = PetscPrintf(PETSC_COMM_WORLD,
"setup done: square side length = %.3f km\n"
" grid Mx,My = %d,%d\n"
" spacing dx,dy = %.3f,%.3f m\n"
" times tstart:dt:tend = %.3f:%.3f:%.3f days\n",
2.0 * user.L / 1000.0, Mx, My, user.dx, user.dy,
tstart / secperday, (tend-tstart)/(steps*secperday), tend / secperday);
CHKERRQ(ierr);
}
if (mfileflg) {
if (!user.run_silent) {
ierr = PetscPrintf(PETSC_COMM_WORLD,
"writing initial W,P and geometry H,b to Matlab file %s ...\n",
mfile);CHKERRQ(ierr);
}
ierr = print2vecmatlab(da,X,"W_init","P_init",mfile,PETSC_FALSE);CHKERRQ(ierr);
ierr = print2vecmatlab(da,user.geom,"H","b",mfile,PETSC_TRUE);CHKERRQ(ierr);
}
/* run time-stepping with implicit steps */
ierr = TSSolve(ts,X,&ftime);CHKERRQ(ierr);
/* make a report on run and final state */
ierr = TSGetTimeStepNumber(ts,&fsteps);CHKERRQ(ierr);
if ((!user.run_silent) && (ftime != tend)) {
ierr = PetscPrintf(PETSC_COMM_WORLD,
"***WARNING3***: reported final time wrong: ftime(=%.12e) != tend(=%.12e) (days)\n",
ftime / secperday, tend / secperday);CHKERRQ(ierr); }
if ((!user.run_silent) && (fsteps != steps)) {
ierr = PetscPrintf(PETSC_COMM_WORLD,
"***WARNING4***: reported number of steps wrong: fsteps(=%D) != steps(=%D)\n",
fsteps, steps);CHKERRQ(ierr); }
if (mfileflg) {
if (!user.run_silent) {
ierr = PetscPrintf(PETSC_COMM_WORLD,
"writing final fields to %s ...\n",mfile);CHKERRQ(ierr);
}
ierr = print2vecmatlab(da,X,"W_final","P_final",mfile,PETSC_TRUE);CHKERRQ(ierr);
ierr = printfigurematlab(da,2,"W_init","W_final",mfile,PETSC_TRUE);CHKERRQ(ierr);
ierr = printfigurematlab(da,3,"P_init","P_final",mfile,PETSC_TRUE);CHKERRQ(ierr);
}
if (user.run_silent) {
ierr = PetscPrintf(PETSC_COMM_WORLD, "%6d %6d %9.3f %.12e\n",
Mx, My, (tend-tstart)/secperday, user.maxrnorm);CHKERRQ(ierr);
}
/* Free work space. */
ierr = MatDestroy(&J);CHKERRQ(ierr);
if (fdflg) { ierr = MatFDColoringDestroy(&matfdcoloring);CHKERRQ(ierr); }
ierr = VecDestroy(&X);CHKERRQ(ierr);
ierr = VecDestroy(&user.geom);CHKERRQ(ierr);
ierr = VecDestroy(&residual);CHKERRQ(ierr);
ierr = TSDestroy(&ts);CHKERRQ(ierr);
ierr = DMDestroy(&da);CHKERRQ(ierr);
ierr = PetscFinalize();CHKERRQ(ierr);
PetscFunctionReturn((PetscInt)(user.not_converged_warning));
}
int main(int argc,char **argv)
{
PetscErrorCode ierr;
int time; /* amount of loops */
struct in put;
PetscScalar rh; /* relative humidity */
PetscScalar x; /* memory varialbe for relative humidity calculation */
PetscScalar deep_grnd_temp; /* temperature of ground under top soil surface layer */
PetscScalar emma; /* absorption-emission constant for air */
PetscScalar pressure1 = 101300; /* surface pressure */
PetscScalar mixratio; /* mixing ratio */
PetscScalar airtemp; /* temperature of air near boundary layer inversion */
PetscScalar dewtemp; /* dew point temperature */
PetscScalar sfctemp; /* temperature at surface */
PetscScalar pwat; /* total column precipitable water */
PetscScalar cloudTemp; /* temperature at base of cloud */
AppCtx user; /* user-defined work context */
MonitorCtx usermonitor; /* user-defined monitor context */
PetscMPIInt rank,size;
TS ts;
SNES snes;
DM da;
Vec T,rhs; /* solution vector */
Mat J; /* Jacobian matrix */
PetscReal ftime,dt;
PetscInt steps,dof = 5;
PetscBool use_coloring = PETSC_TRUE;
MatFDColoring matfdcoloring = 0;
PetscBool monitor_off = PETSC_FALSE;
PetscInitialize(&argc,&argv,(char*)0,help);
ierr = MPI_Comm_size(PETSC_COMM_WORLD,&size);CHKERRQ(ierr);
ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr);
/* Inputs */
readinput(&put);
sfctemp = put.Ts;
dewtemp = put.Td;
cloudTemp = put.Tc;
airtemp = put.Ta;
pwat = put.pwt;
if (!rank) PetscPrintf(PETSC_COMM_SELF,"Initial Temperature = %g\n",sfctemp); /* input surface temperature */
deep_grnd_temp = sfctemp - 10; /* set underlying ground layer temperature */
emma = emission(pwat); /* accounts for radiative effects of water vapor */
/* Converts from Fahrenheit to Celsuis */
sfctemp = fahr_to_cel(sfctemp);
airtemp = fahr_to_cel(airtemp);
dewtemp = fahr_to_cel(dewtemp);
cloudTemp = fahr_to_cel(cloudTemp);
deep_grnd_temp = fahr_to_cel(deep_grnd_temp);
/* Converts from Celsius to Kelvin */
sfctemp += 273;
airtemp += 273;
dewtemp += 273;
cloudTemp += 273;
deep_grnd_temp += 273;
/* Calculates initial relative humidity */
x = calcmixingr(dewtemp,pressure1);
mixratio = calcmixingr(sfctemp,pressure1);
rh = (x/mixratio)*100;
if (!rank) printf("Initial RH = %.1f percent\n\n",rh); /* prints initial relative humidity */
time = 3600*put.time; /* sets amount of timesteps to run model */
/* Configure PETSc TS solver */
/*------------------------------------------*/
/* Create grid */
ierr = DMDACreate2d(PETSC_COMM_WORLD,DMDA_BOUNDARY_PERIODIC,DMDA_BOUNDARY_PERIODIC,DMDA_STENCIL_STAR,-20,-20,
PETSC_DECIDE,PETSC_DECIDE,dof,1,NULL,NULL,&da);CHKERRQ(ierr);
ierr = DMDASetUniformCoordinates(da, 0.0, 1.0, 0.0, 1.0, 0.0, 1.0);CHKERRQ(ierr);
/* Define output window for each variable of interest */
ierr = DMDASetFieldName(da,0,"Ts");CHKERRQ(ierr);
ierr = DMDASetFieldName(da,1,"Ta");CHKERRQ(ierr);
ierr = DMDASetFieldName(da,2,"u");CHKERRQ(ierr);
ierr = DMDASetFieldName(da,3,"v");CHKERRQ(ierr);
ierr = DMDASetFieldName(da,4,"p");CHKERRQ(ierr);
/* set values for appctx */
user.da = da;
user.Ts = sfctemp;
user.fract = put.fr; /* fraction of sky covered by clouds */
user.dewtemp = dewtemp; /* dew point temperature (mositure in air) */
user.csoil = 2000000; /* heat constant for layer */
user.dzlay = 0.08; /* thickness of top soil layer */
user.emma = emma; /* emission parameter */
user.wind = put.wnd; /* wind spped */
user.pressure1 = pressure1; /* sea level pressure */
user.airtemp = airtemp; /* temperature of air near boundar layer inversion */
user.Tc = cloudTemp; /* temperature at base of lowest cloud layer */
user.init = put.init; /* user chosen initiation scenario */
user.lat = 70*0.0174532; /* converts latitude degrees to latitude in radians */
user.deep_grnd_temp = deep_grnd_temp; /* temp in lowest ground layer */
/* set values for MonitorCtx */
usermonitor.drawcontours = PETSC_FALSE;
ierr = PetscOptionsHasName(NULL,"-drawcontours",&usermonitor.drawcontours);CHKERRQ(ierr);
if (usermonitor.drawcontours) {
PetscReal bounds[] = {1000.0,-1000., -1000.,-1000., 1000.,-1000., 1000.,-1000., 1000,-1000, 100700,100800};
ierr = PetscViewerDrawOpen(PETSC_COMM_WORLD,0,0,0,0,300,300,&usermonitor.drawviewer);CHKERRQ(ierr);
ierr = PetscViewerDrawSetBounds(usermonitor.drawviewer,dof,bounds);CHKERRQ(ierr);
}
usermonitor.interval = 1;
ierr = PetscOptionsGetInt(NULL,"-monitor_interval",&usermonitor.interval,NULL);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Extract global vectors from DA;
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = DMCreateGlobalVector(da,&T);CHKERRQ(ierr);
ierr = VecDuplicate(T,&rhs);CHKERRQ(ierr); /* r: vector to put the computed right hand side */
ierr = TSCreate(PETSC_COMM_WORLD,&ts);CHKERRQ(ierr);
ierr = TSSetProblemType(ts,TS_NONLINEAR);CHKERRQ(ierr);
ierr = TSSetType(ts,TSBEULER);CHKERRQ(ierr);
ierr = TSSetRHSFunction(ts,rhs,RhsFunc,&user);CHKERRQ(ierr);
/* Set Jacobian evaluation routine - use coloring to compute finite difference Jacobian efficiently */
ierr = DMSetMatType(da,MATAIJ);CHKERRQ(ierr);
ierr = DMCreateMatrix(da,&J);CHKERRQ(ierr);
ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
if (use_coloring) {
ISColoring iscoloring;
ierr = DMCreateColoring(da,IS_COLORING_GLOBAL,&iscoloring);CHKERRQ(ierr);
ierr = MatFDColoringCreate(J,iscoloring,&matfdcoloring);CHKERRQ(ierr);
ierr = MatFDColoringSetFromOptions(matfdcoloring);CHKERRQ(ierr);
ierr = MatFDColoringSetUp(J,iscoloring,matfdcoloring);CHKERRQ(ierr);
ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
ierr = MatFDColoringSetFunction(matfdcoloring,(PetscErrorCode (*)(void))SNESTSFormFunction,ts);CHKERRQ(ierr);
ierr = SNESSetJacobian(snes,J,J,SNESComputeJacobianDefaultColor,matfdcoloring);CHKERRQ(ierr);
} else {
ierr = SNESSetJacobian(snes,J,J,SNESComputeJacobianDefault,NULL);CHKERRQ(ierr);
}
/* Define what to print for ts_monitor option */
ierr = PetscOptionsHasName(NULL,"-monitor_off",&monitor_off);CHKERRQ(ierr);
if (!monitor_off) {
ierr = TSMonitorSet(ts,Monitor,&usermonitor,NULL);CHKERRQ(ierr);
}
ierr = FormInitialSolution(da,T,&user);CHKERRQ(ierr);
dt = TIMESTEP; /* initial time step */
ftime = TIMESTEP*time;
if (!rank) printf("time %d, ftime %g hour, TIMESTEP %g\n",time,ftime/3600,dt);
ierr = TSSetInitialTimeStep(ts,0.0,dt);CHKERRQ(ierr);
ierr = TSSetDuration(ts,time,ftime);CHKERRQ(ierr);
ierr = TSSetSolution(ts,T);CHKERRQ(ierr);
ierr = TSSetDM(ts,da);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Set runtime options
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = TSSetFromOptions(ts);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Solve nonlinear system
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = TSSolve(ts,T);CHKERRQ(ierr);
ierr = TSGetSolveTime(ts,&ftime);CHKERRQ(ierr);
ierr = TSGetTimeStepNumber(ts,&steps);CHKERRQ(ierr);
if (!rank) PetscPrintf(PETSC_COMM_WORLD,"Solution T after %g hours %d steps\n",ftime/3600,steps);
if (matfdcoloring) {ierr = MatFDColoringDestroy(&matfdcoloring);CHKERRQ(ierr);}
if (usermonitor.drawcontours) {
ierr = PetscViewerDestroy(&usermonitor.drawviewer);CHKERRQ(ierr);
}
ierr = MatDestroy(&J);CHKERRQ(ierr);
ierr = VecDestroy(&T);CHKERRQ(ierr);
ierr = VecDestroy(&rhs);CHKERRQ(ierr);
ierr = TSDestroy(&ts);CHKERRQ(ierr);
ierr = DMDestroy(&da);CHKERRQ(ierr);
PetscFinalize();
return 0;
}
void PETSC_STDCALL matfdcoloringdestroy_(MatFDColoring c, int *__ierr ){
*__ierr = MatFDColoringDestroy(
(MatFDColoring)PetscToPointer((c) ));
}
int main(int argc,char **argv)
{
PetscInt i,M = 3,N = 5,P=3,s=1,w=2,m = PETSC_DECIDE,n = PETSC_DECIDE,p = PETSC_DECIDE;
PetscErrorCode ierr;
PetscInt *lx = NULL,*ly = NULL,*lz = NULL;
DM da;
PetscBool flg = PETSC_FALSE,test_order = PETSC_FALSE;
ISColoring coloring;
Mat mat;
DMDAStencilType stencil_type = DMDA_STENCIL_BOX;
Vec lvec,dvec;
MatFDColoring fdcoloring;
ierr = PetscInitialize(&argc,&argv,(char*)0,help);CHKERRQ(ierr);
/* Read options */
ierr = PetscOptionsGetInt(NULL,"-M",&M,NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetInt(NULL,"-N",&N,NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetInt(NULL,"-P",&P,NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetInt(NULL,"-m",&m,NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetInt(NULL,"-n",&n,NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetInt(NULL,"-p",&p,NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetInt(NULL,"-s",&s,NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetInt(NULL,"-w",&w,NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetBool(NULL,"-star",&flg,NULL);CHKERRQ(ierr);
if (flg) stencil_type = DMDA_STENCIL_STAR;
ierr = PetscOptionsGetBool(NULL,"-test_order",&test_order,NULL);CHKERRQ(ierr);
flg = PETSC_FALSE;
ierr = PetscOptionsGetBool(NULL,"-distribute",&flg,NULL);CHKERRQ(ierr);
if (flg) {
if (m == PETSC_DECIDE) SETERRQ(PETSC_COMM_WORLD,1,"Must set -m option with -distribute option");
ierr = PetscMalloc1(m,&lx);CHKERRQ(ierr);
for (i=0; i<m-1; i++) lx[i] = 4;
lx[m-1] = M - 4*(m-1);
if (n == PETSC_DECIDE) SETERRQ(PETSC_COMM_WORLD,1,"Must set -n option with -distribute option");
ierr = PetscMalloc1(n,&ly);CHKERRQ(ierr);
for (i=0; i<n-1; i++) ly[i] = 2;
ly[n-1] = N - 2*(n-1);
if (p == PETSC_DECIDE) SETERRQ(PETSC_COMM_WORLD,1,"Must set -p option with -distribute option");
ierr = PetscMalloc1(p,&lz);CHKERRQ(ierr);
for (i=0; i<p-1; i++) lz[i] = 2;
lz[p-1] = P - 2*(p-1);
}
/* Create distributed array and get vectors */
ierr = DMDACreate3d(PETSC_COMM_WORLD,DM_BOUNDARY_NONE,DM_BOUNDARY_NONE,DM_BOUNDARY_NONE,stencil_type,M,N,P,m,n,p,w,s,lx,ly,lz,&da);CHKERRQ(ierr);
ierr = PetscFree(lx);CHKERRQ(ierr);
ierr = PetscFree(ly);CHKERRQ(ierr);
ierr = PetscFree(lz);CHKERRQ(ierr);
ierr = DMSetMatType(da,MATMPIAIJ);CHKERRQ(ierr);
ierr = DMCreateColoring(da,IS_COLORING_GLOBAL,&coloring);CHKERRQ(ierr);
ierr = DMSetMatType(da,MATMPIAIJ);CHKERRQ(ierr);
ierr = DMCreateMatrix(da,&mat);CHKERRQ(ierr);
ierr = MatFDColoringCreate(mat,coloring,&fdcoloring);CHKERRQ(ierr);
ierr = MatFDColoringSetUp(mat,coloring,fdcoloring);CHKERRQ(ierr);
ierr = DMCreateGlobalVector(da,&dvec);CHKERRQ(ierr);
ierr = DMCreateLocalVector(da,&lvec);CHKERRQ(ierr);
/* Free memory */
ierr = MatFDColoringDestroy(&fdcoloring);CHKERRQ(ierr);
ierr = VecDestroy(&dvec);CHKERRQ(ierr);
ierr = VecDestroy(&lvec);CHKERRQ(ierr);
ierr = MatDestroy(&mat);CHKERRQ(ierr);
ierr = ISColoringDestroy(&coloring);CHKERRQ(ierr);
ierr = DMDestroy(&da);CHKERRQ(ierr);
ierr = PetscFinalize();
return 0;
}
int main(int argc,char **argv)
{
PetscErrorCode ierr;
PetscInt time_steps=100,iout,NOUT=1;
PetscMPIInt size;
Vec global;
PetscReal dt,ftime,ftime_original;
TS ts;
PetscViewer viewfile;
Mat J = 0;
Vec x;
Data data;
PetscInt mn;
PetscBool flg;
MatColoring mc;
ISColoring iscoloring;
MatFDColoring matfdcoloring = 0;
PetscBool fd_jacobian_coloring = PETSC_FALSE;
SNES snes;
KSP ksp;
PC pc;
PetscViewer viewer;
char pcinfo[120],tsinfo[120];
TSType tstype;
PetscBool sundials;
ierr = PetscInitialize(&argc,&argv,(char*)0,help);CHKERRQ(ierr);
ierr = MPI_Comm_size(PETSC_COMM_WORLD,&size);CHKERRQ(ierr);
/* set data */
data.m = 9;
data.n = 9;
data.a = 1.0;
data.epsilon = 0.1;
data.dx = 1.0/(data.m+1.0);
data.dy = 1.0/(data.n+1.0);
mn = (data.m)*(data.n);
ierr = PetscOptionsGetInt(NULL,"-time",&time_steps,NULL);CHKERRQ(ierr);
/* set initial conditions */
ierr = VecCreate(PETSC_COMM_WORLD,&global);CHKERRQ(ierr);
ierr = VecSetSizes(global,PETSC_DECIDE,mn);CHKERRQ(ierr);
ierr = VecSetFromOptions(global);CHKERRQ(ierr);
ierr = Initial(global,&data);CHKERRQ(ierr);
ierr = VecDuplicate(global,&x);CHKERRQ(ierr);
/* create timestep context */
ierr = TSCreate(PETSC_COMM_WORLD,&ts);CHKERRQ(ierr);
ierr = TSMonitorSet(ts,Monitor,&data,NULL);CHKERRQ(ierr);
#if defined(PETSC_HAVE_SUNDIALS)
ierr = TSSetType(ts,TSSUNDIALS);CHKERRQ(ierr);
#else
ierr = TSSetType(ts,TSEULER);CHKERRQ(ierr);
#endif
dt = 0.1;
ftime_original = data.tfinal = 1.0;
ierr = TSSetInitialTimeStep(ts,0.0,dt);CHKERRQ(ierr);
ierr = TSSetDuration(ts,time_steps,ftime_original);CHKERRQ(ierr);
ierr = TSSetSolution(ts,global);CHKERRQ(ierr);
/* set user provided RHSFunction and RHSJacobian */
ierr = TSSetRHSFunction(ts,NULL,RHSFunction,&data);CHKERRQ(ierr);
ierr = MatCreate(PETSC_COMM_WORLD,&J);CHKERRQ(ierr);
ierr = MatSetSizes(J,PETSC_DECIDE,PETSC_DECIDE,mn,mn);CHKERRQ(ierr);
ierr = MatSetFromOptions(J);CHKERRQ(ierr);
ierr = MatSeqAIJSetPreallocation(J,5,NULL);CHKERRQ(ierr);
ierr = MatMPIAIJSetPreallocation(J,5,NULL,5,NULL);CHKERRQ(ierr);
ierr = PetscOptionsHasName(NULL,"-ts_fd",&flg);CHKERRQ(ierr);
if (!flg) {
ierr = TSSetRHSJacobian(ts,J,J,RHSJacobian,&data);CHKERRQ(ierr);
} else {
ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
ierr = PetscOptionsHasName(NULL,"-fd_color",&fd_jacobian_coloring);CHKERRQ(ierr);
if (fd_jacobian_coloring) { /* Use finite differences with coloring */
/* Get data structure of J */
PetscBool pc_diagonal;
ierr = PetscOptionsHasName(NULL,"-pc_diagonal",&pc_diagonal);CHKERRQ(ierr);
if (pc_diagonal) { /* the preconditioner of J is a diagonal matrix */
PetscInt rstart,rend,i;
PetscScalar zero=0.0;
ierr = MatGetOwnershipRange(J,&rstart,&rend);CHKERRQ(ierr);
for (i=rstart; i<rend; i++) {
ierr = MatSetValues(J,1,&i,1,&i,&zero,INSERT_VALUES);CHKERRQ(ierr);
}
ierr = MatAssemblyBegin(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
ierr = MatAssemblyEnd(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
} else {
/* Fill the structure using the expensive SNESComputeJacobianDefault. Temporarily set up the TS so we can call this function */
ierr = TSSetType(ts,TSBEULER);CHKERRQ(ierr);
ierr = TSSetUp(ts);CHKERRQ(ierr);
ierr = SNESComputeJacobianDefault(snes,x,J,J,ts);CHKERRQ(ierr);
}
/* create coloring context */
ierr = MatColoringCreate(J,&mc);CHKERRQ(ierr);
ierr = MatColoringSetType(mc,MATCOLORINGSL);CHKERRQ(ierr);
ierr = MatColoringSetFromOptions(mc);CHKERRQ(ierr);
ierr = MatColoringApply(mc,&iscoloring);CHKERRQ(ierr);
ierr = MatColoringDestroy(&mc);CHKERRQ(ierr);
ierr = MatFDColoringCreate(J,iscoloring,&matfdcoloring);CHKERRQ(ierr);
ierr = MatFDColoringSetFunction(matfdcoloring,(PetscErrorCode (*)(void))SNESTSFormFunction,ts);CHKERRQ(ierr);
ierr = MatFDColoringSetFromOptions(matfdcoloring);CHKERRQ(ierr);
ierr = MatFDColoringSetUp(J,iscoloring,matfdcoloring);CHKERRQ(ierr);
ierr = SNESSetJacobian(snes,J,J,SNESComputeJacobianDefaultColor,matfdcoloring);CHKERRQ(ierr);
ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
} else { /* Use finite differences (slow) */
ierr = SNESSetJacobian(snes,J,J,SNESComputeJacobianDefault,NULL);CHKERRQ(ierr);
}
}
/* Pick up a Petsc preconditioner */
/* one can always set method or preconditioner during the run time */
ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
ierr = SNESGetKSP(snes,&ksp);CHKERRQ(ierr);
ierr = KSPGetPC(ksp,&pc);CHKERRQ(ierr);
ierr = PCSetType(pc,PCJACOBI);CHKERRQ(ierr);
ierr = TSSetFromOptions(ts);CHKERRQ(ierr);
ierr = TSSetUp(ts);CHKERRQ(ierr);
/* Test TSSetPostStep() */
ierr = PetscOptionsHasName(NULL,"-test_PostStep",&flg);CHKERRQ(ierr);
if (flg) {
ierr = TSSetPostStep(ts,PostStep);CHKERRQ(ierr);
}
ierr = PetscOptionsGetInt(NULL,"-NOUT",&NOUT,NULL);CHKERRQ(ierr);
for (iout=1; iout<=NOUT; iout++) {
ierr = TSSetDuration(ts,time_steps,iout*ftime_original/NOUT);CHKERRQ(ierr);
ierr = TSSolve(ts,global);CHKERRQ(ierr);
ierr = TSGetSolveTime(ts,&ftime);CHKERRQ(ierr);
ierr = TSSetInitialTimeStep(ts,ftime,dt);CHKERRQ(ierr);
}
/* Interpolate solution at tfinal */
ierr = TSGetSolution(ts,&global);CHKERRQ(ierr);
ierr = TSInterpolate(ts,ftime_original,global);CHKERRQ(ierr);
ierr = PetscOptionsHasName(NULL,"-matlab_view",&flg);CHKERRQ(ierr);
if (flg) { /* print solution into a MATLAB file */
ierr = PetscViewerASCIIOpen(PETSC_COMM_WORLD,"out.m",&viewfile);CHKERRQ(ierr);
ierr = PetscViewerSetFormat(viewfile,PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr);
ierr = VecView(global,viewfile);CHKERRQ(ierr);
ierr = PetscViewerDestroy(&viewfile);CHKERRQ(ierr);
}
/* display solver info for Sundials */
ierr = TSGetType(ts,&tstype);CHKERRQ(ierr);
ierr = PetscObjectTypeCompare((PetscObject)ts,TSSUNDIALS,&sundials);CHKERRQ(ierr);
if (sundials) {
ierr = PetscViewerStringOpen(PETSC_COMM_WORLD,tsinfo,120,&viewer);CHKERRQ(ierr);
ierr = TSView(ts,viewer);CHKERRQ(ierr);
ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
ierr = PetscViewerStringOpen(PETSC_COMM_WORLD,pcinfo,120,&viewer);CHKERRQ(ierr);
ierr = PCView(pc,viewer);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD,"%d Procs,%s TSType, %s Preconditioner\n",size,tsinfo,pcinfo);CHKERRQ(ierr);
ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
}
/* free the memories */
ierr = TSDestroy(&ts);CHKERRQ(ierr);
ierr = VecDestroy(&global);CHKERRQ(ierr);
ierr = VecDestroy(&x);CHKERRQ(ierr);
ierr = MatDestroy(&J);CHKERRQ(ierr);
if (fd_jacobian_coloring) {ierr = MatFDColoringDestroy(&matfdcoloring);CHKERRQ(ierr);}
ierr = PetscFinalize();
return 0;
}
void PETSC_STDCALL matfdcoloringdestroy_(MatFDColoring *c, int *__ierr ){
*__ierr = MatFDColoringDestroy(c);
}
void
NonlinearSystem::solve()
{
// Only attach the postcheck function to the solver if we actually
// have dampers or if the FEProblemBase needs to update the solution,
// which is also done during the linesearch postcheck. It doesn't
// hurt to do this multiple times, it is just setting a pointer.
if (_fe_problem.hasDampers() || _fe_problem.shouldUpdateSolution() ||
_fe_problem.needsPreviousNewtonIteration())
_transient_sys.nonlinear_solver->postcheck = Moose::compute_postcheck;
if (_fe_problem.solverParams()._type != Moose::ST_LINEAR)
{
// Calculate the initial residual for use in the convergence criterion.
_computing_initial_residual = true;
_fe_problem.computeResidualSys(_transient_sys, *_current_solution, *_transient_sys.rhs);
_computing_initial_residual = false;
_transient_sys.rhs->close();
_initial_residual_before_preset_bcs = _transient_sys.rhs->l2_norm();
if (_compute_initial_residual_before_preset_bcs)
_console << "Initial residual before setting preset BCs: "
<< _initial_residual_before_preset_bcs << '\n';
}
// Clear the iteration counters
_current_l_its.clear();
_current_nl_its = 0;
// Initialize the solution vector using a predictor and known values from nodal bcs
setInitialSolution();
if (_use_finite_differenced_preconditioner)
{
_transient_sys.nonlinear_solver->fd_residual_object = &_fd_residual_functor;
setupFiniteDifferencedPreconditioner();
}
#ifdef LIBMESH_HAVE_PETSC
PetscNonlinearSolver<Real> & solver =
static_cast<PetscNonlinearSolver<Real> &>(*_transient_sys.nonlinear_solver);
solver.mffd_residual_object = &_fd_residual_functor;
#endif
if (_time_integrator)
{
_time_integrator->solve();
_time_integrator->postSolve();
_n_iters = _time_integrator->getNumNonlinearIterations();
_n_linear_iters = _time_integrator->getNumLinearIterations();
}
else
{
system().solve();
_n_iters = _transient_sys.n_nonlinear_iterations();
#ifdef LIBMESH_HAVE_PETSC
_n_linear_iters = solver.get_total_linear_iterations();
#endif
}
// store info about the solve
_final_residual = _transient_sys.final_nonlinear_residual();
#ifdef LIBMESH_HAVE_PETSC
if (_use_coloring_finite_difference)
#if PETSC_VERSION_LESS_THAN(3, 2, 0)
MatFDColoringDestroy(_fdcoloring);
#else
MatFDColoringDestroy(&_fdcoloring);
#endif
#endif
}
int main(int argc,char **argv)
{
TS ts; /* nonlinear solver */
Vec x,r; /* solution, residual vectors */
Mat J; /* Jacobian matrix */
PetscInt steps,Mx,maxsteps = 10000000;
PetscErrorCode ierr;
DM da;
MatFDColoring matfdcoloring;
ISColoring iscoloring;
PetscReal dt;
PetscReal vbounds[] = {-100000,100000,-1.1,1.1};
PetscBool wait;
Vec ul,uh;
SNES snes;
UserCtx ctx;
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Initialize program
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = PetscInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
ctx.kappa = 1.0;
ierr = PetscOptionsGetReal(NULL,"-kappa",&ctx.kappa,NULL);CHKERRQ(ierr);
ctx.cahnhillard = PETSC_FALSE;
ierr = PetscOptionsGetBool(NULL,NULL,"-cahn-hillard",&ctx.cahnhillard,NULL);CHKERRQ(ierr);
ierr = PetscViewerDrawSetBounds(PETSC_VIEWER_DRAW_(PETSC_COMM_WORLD),2,vbounds);CHKERRQ(ierr);
ierr = PetscViewerDrawResize(PETSC_VIEWER_DRAW_(PETSC_COMM_WORLD),600,600);CHKERRQ(ierr);
ctx.energy = 1;
/* ierr = PetscOptionsGetInt(NULL,NULL,"-energy",&ctx.energy,NULL);CHKERRQ(ierr); */
ierr = PetscOptionsGetInt(NULL,NULL,"-energy",&ctx.energy,NULL);CHKERRQ(ierr);
ctx.tol = 1.0e-8;
ierr = PetscOptionsGetReal(NULL,"-tol",&ctx.tol,NULL);CHKERRQ(ierr);
ctx.theta = .001;
ctx.theta_c = 1.0;
ierr = PetscOptionsGetReal(NULL,"-theta",&ctx.theta,NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetReal(NULL,"-theta_c",&ctx.theta_c,NULL);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Create distributed array (DMDA) to manage parallel grid and vectors
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = DMDACreate1d(PETSC_COMM_WORLD, DM_BOUNDARY_PERIODIC, -10,2,2,NULL,&da);CHKERRQ(ierr);
ierr = DMSetFromOptions(da);CHKERRQ(ierr);
ierr = DMSetUp(da);CHKERRQ(ierr);
ierr = DMDASetFieldName(da,0,"Biharmonic heat equation: w = -kappa*u_xx");CHKERRQ(ierr);
ierr = DMDASetFieldName(da,1,"Biharmonic heat equation: u");CHKERRQ(ierr);
ierr = DMDAGetInfo(da,0,&Mx,0,0,0,0,0,0,0,0,0,0,0);CHKERRQ(ierr);
dt = 1.0/(10.*ctx.kappa*Mx*Mx*Mx*Mx);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Extract global vectors from DMDA; then duplicate for remaining
vectors that are the same types
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = DMCreateGlobalVector(da,&x);CHKERRQ(ierr);
ierr = VecDuplicate(x,&r);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Create timestepping solver context
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = TSCreate(PETSC_COMM_WORLD,&ts);CHKERRQ(ierr);
ierr = TSSetDM(ts,da);CHKERRQ(ierr);
ierr = TSSetProblemType(ts,TS_NONLINEAR);CHKERRQ(ierr);
ierr = TSSetIFunction(ts,NULL,FormFunction,&ctx);CHKERRQ(ierr);
ierr = TSSetDuration(ts,maxsteps,.02);CHKERRQ(ierr);
ierr = TSSetExactFinalTime(ts,TS_EXACTFINALTIME_STEPOVER);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Create matrix data structure; set Jacobian evaluation routine
< Set Jacobian matrix data structure and default Jacobian evaluation
routine. User can override with:
-snes_mf : matrix-free Newton-Krylov method with no preconditioning
(unless user explicitly sets preconditioner)
-snes_mf_operator : form preconditioning matrix as set by the user,
but use matrix-free approx for Jacobian-vector
products within Newton-Krylov method
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
ierr = DMCreateColoring(da,IS_COLORING_GLOBAL,&iscoloring);CHKERRQ(ierr);
ierr = DMSetMatType(da,MATAIJ);CHKERRQ(ierr);
ierr = DMCreateMatrix(da,&J);CHKERRQ(ierr);
ierr = MatFDColoringCreate(J,iscoloring,&matfdcoloring);CHKERRQ(ierr);
ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
ierr = MatFDColoringSetFunction(matfdcoloring,(PetscErrorCode (*)(void))SNESTSFormFunction,ts);CHKERRQ(ierr);
ierr = MatFDColoringSetFromOptions(matfdcoloring);CHKERRQ(ierr);
ierr = MatFDColoringSetUp(J,iscoloring,matfdcoloring);CHKERRQ(ierr);
ierr = SNESSetJacobian(snes,J,J,SNESComputeJacobianDefaultColor,matfdcoloring);CHKERRQ(ierr);
{
ierr = VecDuplicate(x,&ul);CHKERRQ(ierr);
ierr = VecDuplicate(x,&uh);CHKERRQ(ierr);
ierr = VecStrideSet(ul,0,PETSC_NINFINITY);CHKERRQ(ierr);
ierr = VecStrideSet(ul,1,-1.0);CHKERRQ(ierr);
ierr = VecStrideSet(uh,0,PETSC_INFINITY);CHKERRQ(ierr);
ierr = VecStrideSet(uh,1,1.0);CHKERRQ(ierr);
ierr = TSVISetVariableBounds(ts,ul,uh);CHKERRQ(ierr);
}
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Customize nonlinear solver
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = TSSetType(ts,TSBEULER);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Set initial conditions
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = FormInitialSolution(da,x,ctx.kappa);CHKERRQ(ierr);
ierr = TSSetInitialTimeStep(ts,0.0,dt);CHKERRQ(ierr);
ierr = TSSetSolution(ts,x);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Set runtime options
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = TSSetFromOptions(ts);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Solve nonlinear system
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = TSSolve(ts,x);CHKERRQ(ierr);
wait = PETSC_FALSE;
ierr = PetscOptionsGetBool(NULL,NULL,"-wait",&wait,NULL);CHKERRQ(ierr);
if (wait) {
ierr = PetscSleep(-1);CHKERRQ(ierr);
}
ierr = TSGetTimeStepNumber(ts,&steps);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Free work space. All PETSc objects should be destroyed when they
are no longer needed.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
{
ierr = VecDestroy(&ul);CHKERRQ(ierr);
ierr = VecDestroy(&uh);CHKERRQ(ierr);
}
ierr = MatDestroy(&J);CHKERRQ(ierr);
ierr = MatFDColoringDestroy(&matfdcoloring);CHKERRQ(ierr);
ierr = VecDestroy(&x);CHKERRQ(ierr);
ierr = VecDestroy(&r);CHKERRQ(ierr);
ierr = TSDestroy(&ts);CHKERRQ(ierr);
ierr = DMDestroy(&da);CHKERRQ(ierr);
ierr = PetscFinalize();
PetscFunctionReturn(0);
}
int main(int argc,char **argv)
{
TS ts; /* nonlinear solver */
Vec u; /* solution, residual vectors */
Mat J; /* Jacobian matrix */
PetscInt steps,maxsteps = 1000; /* iterations for convergence */
PetscErrorCode ierr;
DM da;
MatFDColoring matfdcoloring = PETSC_NULL;
PetscReal ftime,dt;
MonitorCtx usermonitor; /* user-defined monitor context */
AppCtx user; /* user-defined work context */
JacobianType jacType;
PetscInitialize(&argc,&argv,(char *)0,help);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Create distributed array (DMDA) to manage parallel grid and vectors
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = DMDACreate1d(PETSC_COMM_WORLD,DMDA_BOUNDARY_NONE,-11,1,1,PETSC_NULL,&da);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Extract global vectors from DMDA;
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = DMCreateGlobalVector(da,&u);CHKERRQ(ierr);
/* Initialize user application context */
user.c = -30.0;
user.boundary = 0; /* 0: Dirichlet BC; 1: Neumann BC */
user.viewJacobian = PETSC_FALSE;
ierr = PetscOptionsGetInt(PETSC_NULL,"-boundary",&user.boundary,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsHasName(PETSC_NULL,"-viewJacobian",&user.viewJacobian);CHKERRQ(ierr);
usermonitor.drawcontours = PETSC_FALSE;
ierr = PetscOptionsHasName(PETSC_NULL,"-drawcontours",&usermonitor.drawcontours);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Create timestepping solver context
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = TSCreate(PETSC_COMM_WORLD,&ts);CHKERRQ(ierr);
ierr = TSSetProblemType(ts,TS_NONLINEAR);CHKERRQ(ierr);
ierr = TSSetType(ts,TSTHETA);CHKERRQ(ierr);
ierr = TSThetaSetTheta(ts,1.0);CHKERRQ(ierr); /* Make the Theta method behave like backward Euler */
ierr = TSSetIFunction(ts,PETSC_NULL,FormIFunction,&user);CHKERRQ(ierr);
ierr = DMCreateMatrix(da,MATAIJ,&J);CHKERRQ(ierr);
jacType = JACOBIAN_ANALYTIC; /* use user-provide Jacobian */
ierr = TSSetIJacobian(ts,J,J,FormIJacobian,&user);CHKERRQ(ierr);
ierr = TSSetDM(ts,da);CHKERRQ(ierr); /* Use TSGetDM() to access. Setting here allows easy use of geometric multigrid. */
ftime = 1.0;
ierr = TSSetDuration(ts,maxsteps,ftime);CHKERRQ(ierr);
ierr = TSMonitorSet(ts,MyTSMonitor,&usermonitor,PETSC_NULL);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Set initial conditions
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = FormInitialSolution(ts,u,&user);CHKERRQ(ierr);
ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
dt = .01;
ierr = TSSetInitialTimeStep(ts,0.0,dt);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Set runtime options
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = TSSetFromOptions(ts);CHKERRQ(ierr);
/* Use slow fd Jacobian or fast fd Jacobian with colorings.
Note: this requirs snes which is not created until TSSetUp()/TSSetFromOptions() is called */
ierr = PetscOptionsBegin(((PetscObject)da)->comm,PETSC_NULL,"Options for Jacobian evaluation",PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsEnum("-jac_type","Type of Jacobian","",JacobianTypes,(PetscEnum)jacType,(PetscEnum*)&jacType,0);CHKERRQ(ierr);
ierr = PetscOptionsEnd();CHKERRQ(ierr);
if (jacType == JACOBIAN_FD_COLORING) {
SNES snes;
ISColoring iscoloring;
ierr = DMCreateColoring(da,IS_COLORING_GLOBAL,MATAIJ,&iscoloring);CHKERRQ(ierr);
ierr = MatFDColoringCreate(J,iscoloring,&matfdcoloring);CHKERRQ(ierr);
ierr = MatFDColoringSetFromOptions(matfdcoloring);CHKERRQ(ierr);
ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
ierr = MatFDColoringSetFunction(matfdcoloring,(PetscErrorCode(*)(void))SNESTSFormFunction,ts);CHKERRQ(ierr);
ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
ierr = SNESSetJacobian(snes,J,J,SNESDefaultComputeJacobianColor,matfdcoloring);CHKERRQ(ierr);
} else if (jacType == JACOBIAN_FD_FULL){
SNES snes;
ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
ierr = SNESSetJacobian(snes,J,J,SNESDefaultComputeJacobian,&user);CHKERRQ(ierr);
}
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Solve nonlinear system
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = TSSolve(ts,u,&ftime);CHKERRQ(ierr);
ierr = TSGetTimeStepNumber(ts,&steps);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Free work space.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = MatDestroy(&J);CHKERRQ(ierr);
if (matfdcoloring) {ierr = MatFDColoringDestroy(&matfdcoloring);CHKERRQ(ierr);}
ierr = VecDestroy(&u);CHKERRQ(ierr);
ierr = TSDestroy(&ts);CHKERRQ(ierr);
ierr = DMDestroy(&da);CHKERRQ(ierr);
ierr = PetscFinalize();
PetscFunctionReturn(0);
}
EXTERN_C_END
EXTERN_C_BEGIN
#undef __FUNCT__
#define __FUNCT__ "TaoAppDefaultComputeHessianColor"
/*@C
TaoAppDefaultComputeHessianColor - Computes the Hessian using colored finite differences.
Collective on TAO_APPLICATION
Input Parameters:
+ tao - the TAO_APPLICATION context
. V - compute Hessian at this point
- ctx - the TAO_APPLICATION structure, cast to (void*)
Output Parameters:
+ H - Hessian matrix (not altered in this routine)
. B - newly computed Hessian matrix to use with preconditioner (generally the same as H)
- flag - flag indicating whether the matrix sparsity structure has changed
Options Database Keys:
+ -mat_fd_coloring_freq <freq>
- -tao_view_hessian - view the hessian after each evaluation using PETSC_VIEWER_STDOUT_WORLD
Level: intermediate
Note:
The gradient evaluation must be set using the routine TaoSetPetscGradient().
.keywords: TAO_APPLICATION, finite differences, Hessian, coloring, sparse
.seealso: TaoAppSetHessianRoutine(), TaoAppDefaultComputeHessian(),SNESDefaultComputeJacobianColor(),
TaoAppSetGradientRoutine(), TaoAppSetColoring()
@*/
int TaoAppDefaultComputeHessianColor(TAO_APPLICATION taoapp, Vec V, Mat *HH,Mat *BB,
MatStructure *flag,void *ctx){
int info;
MPI_Comm comm;
Vec G=0;
Mat H=*HH,B=*BB;
SNES snes;
ISColoring iscoloring;
MatFDColoring matfdcoloring;
TAO_SOLVER tao;
PetscFunctionBegin;
PetscValidHeaderSpecific(H,MAT_COOKIE,3);
PetscValidHeaderSpecific(B,MAT_COOKIE,4);
PetscCheckSameComm(V,2,H,3);
PetscCheckSameComm(H,3,B,4);
info = TaoAppGetTaoSolver(taoapp,&tao); CHKERRQ(info);
info = TaoAppGetColoring(taoapp,&iscoloring); CHKERRQ(info);
if (!iscoloring){
SETERRQ(1,"Must set coloring before using this routine. Try Finite Differences without coloring\n");
}
info = VecDuplicate(V,&G);CHKERRQ(info);
info=PetscInfo(G,"TAO computing matrix using finite differences and coloring\n"); CHKERRQ(info);
info=TaoAppComputeGradient(taoapp,V,G); CHKERRQ(info);
tao->ngrads++;
info = PetscObjectGetComm((PetscObject)(H),&comm);CHKERRQ(info);
info = SNESCreate(comm,&snes);CHKERRQ(info);
info = MatFDColoringCreate(H,iscoloring,&matfdcoloring);CHKERRQ(info);
info = MatFDColoringSetFunction(matfdcoloring,(int (*)(void)) Ftemp,taoapp);CHKERRQ(info);
info = MatFDColoringSetFromOptions(matfdcoloring);CHKERRQ(info);
info = SNESSetFunction(snes,G,Ftemp,taoapp);CHKERRQ(info);
info = SNESSetJacobian(snes,H,B,SNESDefaultComputeJacobianColor,(void*)matfdcoloring);CHKERRQ(info);
info = SNESDefaultComputeJacobianColor(snes,V,HH,BB,flag,matfdcoloring);CHKERRQ(info);
info = MatFDColoringDestroy(matfdcoloring);CHKERRQ(info);
info = SNESDestroy(snes);CHKERRQ(info);
info = VecDestroy(G);CHKERRQ(info);
PetscFunctionReturn(0);
}