int main(void)
{
realtype dx, dy, reltol, abstol, t, tout, umax;
N_Vector u;
UserData data;
void *cvode_mem;
int iout, flag;
long int nst;
u = NULL;
data = NULL;
cvode_mem = NULL;
/* Create a serial vector */
u = N_VNew_Serial(NEQ); /* Allocate u vector */
if(check_flag((void*)u, "N_VNew_Serial", 0)) return(1);
reltol = ZERO; /* Set the tolerances */
abstol = ATOL;
data = (UserData) malloc(sizeof *data); /* Allocate data memory */
if(check_flag((void *)data, "malloc", 2)) return(1);
dx = data->dx = XMAX/(MX+1); /* Set grid coefficients in data */
dy = data->dy = YMAX/(MY+1);
data->hdcoef = ONE/(dx*dx);
data->hacoef = HALF/(TWO*dx);
data->vdcoef = ONE/(dy*dy);
SetIC(u, data); /* Initialize u vector */
/*
Call CvodeCreate to create integrator memory
CV_BDF specifies the Backward Differentiation Formula
CV_NEWTON specifies a Newton iteration
A pointer to the integrator problem memory is returned and
stored in cvode_mem.
*/
cvode_mem = CVodeCreate(CV_BDF, CV_NEWTON);
if(check_flag((void *)cvode_mem, "CVodeCreate", 0)) return(1);
/*
Call CVodeMalloc to initialize the integrator memory:
cvode_mem is the pointer to the integrator memory returned by CVodeCreate
f is the user's right hand side function in y'=f(t,y)
T0 is the initial time
u is the initial dependent variable vector
CV_SS specifies scalar relative and absolute tolerances
reltol is the scalar relative tolerance
&abstol is a pointer to the scalar absolute tolerance
*/
flag = CVodeMalloc(cvode_mem, f, T0, u, CV_SS, reltol, &abstol);
if(check_flag(&flag, "CVodeMalloc", 1)) return(1);
/* Set the pointer to user-defined data */
flag = CVodeSetFdata(cvode_mem, data);
if(check_flag(&flag, "CVodeSetFdata", 1)) return(1);
/* Call CVBand to specify the CVBAND band linear solver */
flag = CVBand(cvode_mem, NEQ, MY, MY);
if(check_flag(&flag, "CVBand", 1)) return(1);
/* Set the user-supplied Jacobian routine Jac and
the pointer to the user-defined block data. */
flag = CVBandSetJacFn(cvode_mem, Jac, data);
if(check_flag(&flag, "CVBandSetJacFn", 1)) return(1);
/* In loop over output points: call CVode, print results, test for errors */
umax = N_VMaxNorm(u);
PrintHeader(reltol, abstol, umax);
for(iout=1, tout=T1; iout <= NOUT; iout++, tout += DTOUT) {
flag = CVode(cvode_mem, tout, u, &t, CV_NORMAL);
if(check_flag(&flag, "CVode", 1)) break;
umax = N_VMaxNorm(u);
flag = CVodeGetNumSteps(cvode_mem, &nst);
check_flag(&flag, "CVodeGetNumSteps", 1);
PrintOutput(t, umax, nst);
}
PrintFinalStats(cvode_mem); /* Print some final statistics */
N_VDestroy_Serial(u); /* Free the u vector */
CVodeFree(cvode_mem); /* Free the integrator memory */
free(data); /* Free the user data */
return(0);
}
int main(void)
{
realtype abstol, reltol, t, tout;
N_Vector u;
UserData data;
void *cvode_mem;
int linsolver, iout, flag;
u = NULL;
data = NULL;
cvode_mem = NULL;
/* Allocate memory, and set problem data, initial values, tolerances */
u = N_VNew_Serial(NEQ);
if(check_flag((void *)u, "N_VNew_Serial", 0)) return(1);
data = AllocUserData();
if(check_flag((void *)data, "AllocUserData", 2)) return(1);
InitUserData(data);
SetInitialProfiles(u, data->dx, data->dy);
abstol=ATOL;
reltol=RTOL;
/* Call CvodeCreate to create the solver memory
CV_BDF specifies the Backward Differentiation Formula
CV_NEWTON specifies a Newton iteration
A pointer to the integrator memory is returned and stored in cvode_mem. */
cvode_mem = CVodeCreate(CV_BDF, CV_NEWTON);
if(check_flag((void *)cvode_mem, "CVodeCreate", 0)) return(1);
/* Set the pointer to user-defined data */
flag = CVodeSetFdata(cvode_mem, data);
if(check_flag(&flag, "CVodeSetFdata", 1)) return(1);
/* Call CVodeMalloc to initialize the integrator memory:
f is the user's right hand side function in u'=f(t,u)
T0 is the initial time
u is the initial dependent variable vector
CV_SS specifies scalar relative and absolute tolerances
reltol is the relative tolerance
&abstol is a pointer to the scalar absolute tolerance */
flag = CVodeMalloc(cvode_mem, f, T0, u, CV_SS, reltol, &abstol);
if(check_flag(&flag, "CVodeMalloc", 1)) return(1);
/* START: Loop through SPGMR, SPBCG and SPTFQMR linear solver modules */
for (linsolver = 0; linsolver < 3; ++linsolver) {
if (linsolver != 0) {
/* Re-initialize user data */
InitUserData(data);
SetInitialProfiles(u, data->dx, data->dy);
/* Re-initialize CVode for the solution of the same problem, but
using a different linear solver module */
flag = CVodeReInit(cvode_mem, f, T0, u, CV_SS, reltol, &abstol);
if (check_flag(&flag, "CVodeReInit", 1)) return(1);
}
/* Attach a linear solver module */
switch(linsolver) {
/* (a) SPGMR */
case(USE_SPGMR):
/* Print header */
printf(" -------");
printf(" \n| SPGMR |\n");
printf(" -------\n");
/* Call CVSpgmr to specify the linear solver CVSPGMR
with left preconditioning and the maximum Krylov dimension maxl */
flag = CVSpgmr(cvode_mem, PREC_LEFT, 0);
if(check_flag(&flag, "CVSpgmr", 1)) return(1);
/* Set modified Gram-Schmidt orthogonalization, preconditioner
setup and solve routines Precond and PSolve, and the pointer
to the user-defined block data */
flag = CVSpilsSetGSType(cvode_mem, MODIFIED_GS);
if(check_flag(&flag, "CVSpilsSetGSType", 1)) return(1);
flag = CVSpilsSetPreconditioner(cvode_mem, Precond, PSolve, data);
if(check_flag(&flag, "CVSpilsSetPreconditioner", 1)) return(1);
break;
/* (b) SPBCG */
case(USE_SPBCG):
/* Print header */
printf(" -------");
printf(" \n| SPBCG |\n");
printf(" -------\n");
/* Call CVSpbcg to specify the linear solver CVSPBCG
with left preconditioning and the maximum Krylov dimension maxl */
flag = CVSpbcg(cvode_mem, PREC_LEFT, 0);
if(check_flag(&flag, "CVSpbcg", 1)) return(1);
/* Set preconditioner setup and solve routines Precond and PSolve,
and the pointer to the user-defined block data */
flag = CVSpilsSetPreconditioner(cvode_mem, Precond, PSolve, data);
if(check_flag(&flag, "CVSpilsSetPreconditioner", 1)) return(1);
break;
/* (c) SPTFQMR */
case(USE_SPTFQMR):
/* Print header */
printf(" ---------");
printf(" \n| SPTFQMR |\n");
printf(" ---------\n");
/* Call CVSptfqmr to specify the linear solver CVSPTFQMR
with left preconditioning and the maximum Krylov dimension maxl */
flag = CVSptfqmr(cvode_mem, PREC_LEFT, 0);
if(check_flag(&flag, "CVSptfqmr", 1)) return(1);
/* Set preconditioner setup and solve routines Precond and PSolve,
and the pointer to the user-defined block data */
flag = CVSpilsSetPreconditioner(cvode_mem, Precond, PSolve, data);
if(check_flag(&flag, "CVSpilsSetPreconditioner", 1)) return(1);
break;
}
/* In loop over output points, call CVode, print results, test for error */
printf(" \n2-species diurnal advection-diffusion problem\n\n");
for (iout=1, tout = TWOHR; iout <= NOUT; iout++, tout += TWOHR) {
flag = CVode(cvode_mem, tout, u, &t, CV_NORMAL);
PrintOutput(cvode_mem, u, t);
if(check_flag(&flag, "CVode", 1)) break;
}
PrintFinalStats(cvode_mem, linsolver);
} /* END: Loop through SPGMR, SPBCG and SPTFQMR linear solver modules */
/* Free memory */
N_VDestroy_Serial(u);
FreeUserData(data);
CVodeFree(&cvode_mem);
return(0);
}
int main()
{
realtype abstol, reltol, t, tout;
N_Vector u;
UserData data;
void *bpdata;
void *cvode_mem;
int flag, ml, mu, iout, jpre;
u = NULL;
data = NULL;
bpdata = cvode_mem = NULL;
/* Allocate and initialize u, and set problem data and tolerances */
u = N_VNew_Serial(NEQ);
if(check_flag((void *)u, "N_VNew_Serial", 0)) return(1);
data = (UserData) malloc(sizeof *data);
if(check_flag((void *)data, "malloc", 2)) return(1);
InitUserData(data);
SetInitialProfiles(u, data->dx, data->dy);
abstol = ATOL;
reltol = RTOL;
/* Call CvodeCreate to create the solver memory
CV_BDF specifies the Backward Differentiation Formula
CV_NEWTON specifies a Newton iteration
A pointer to the integrator memory is returned and stored in cvode_mem. */
cvode_mem = CVodeCreate(CV_BDF, CV_NEWTON);
if(check_flag((void *)cvode_mem, "CVodeCreate", 0)) return(1);
/* Set the pointer to user-defined data */
flag = CVodeSetFdata(cvode_mem, data);
if(check_flag(&flag, "CVodeSetFdata", 1)) return(1);
/* Call CVodeMalloc to initialize the integrator memory:
f is the user's right hand side function in u'=f(t,u)
T0 is the initial time
u is the initial dependent variable vector
CV_SS specifies scalar relative and absolute tolerances
reltol is the relative tolerance
&abstol is a pointer to the scalar absolutetolerance */
flag = CVodeMalloc(cvode_mem, f, T0, u, CV_SS, reltol, &abstol);
if(check_flag(&flag, "CVodeMalloc", 1)) return(1);
/* Call CVBandPreAlloc to initialize band preconditioner */
ml = mu = 2;
bpdata = CVBandPrecAlloc (cvode_mem, NEQ, mu, ml);
if(check_flag((void *)bpdata, "CVBandPrecAlloc", 0)) return(1);
/* Call CVBPSpgmr to specify the linear solver CVSPGMR
with left preconditioning and the maximum Krylov dimension maxl */
flag = CVBPSpgmr(cvode_mem, PREC_LEFT, 0, bpdata);
if(check_flag(&flag, "CVBPSpgmr", 1)) return(1);
PrintIntro(mu, ml);
/* Loop over jpre (= PREC_LEFT, PREC_RIGHT), and solve the problem */
for (jpre = PREC_LEFT; jpre <= PREC_RIGHT; jpre++) {
/* On second run, re-initialize u, the solver, and CVSPGMR */
if (jpre == PREC_RIGHT) {
SetInitialProfiles(u, data->dx, data->dy);
flag = CVodeReInit(cvode_mem, f, T0, u, CV_SS, reltol, &abstol);
if(check_flag(&flag, "CVodeReInit", 1)) return(1);
flag = CVSpilsSetPrecType(cvode_mem, PREC_RIGHT);
check_flag(&flag, "CVSpilsSetPrecType", 1);
printf("\n\n-------------------------------------------------------");
printf("------------\n");
}
printf("\n\nPreconditioner type is: jpre = %s\n\n",
(jpre == PREC_LEFT) ? "PREC_LEFT" : "PREC_RIGHT");
/* In loop over output points, call CVode, print results, test for error */
for (iout = 1, tout = TWOHR; iout <= NOUT; iout++, tout += TWOHR) {
flag = CVode(cvode_mem, tout, u, &t, CV_NORMAL);
check_flag(&flag, "CVode", 1);
PrintOutput(cvode_mem, u, t);
if (flag != CV_SUCCESS) {
break;
}
}
/* Print final statistics */
PrintFinalStats(cvode_mem, bpdata);
} /* End of jpre loop */
/* Free memory */
N_VDestroy_Serial(u);
free(data);
CVBandPrecFree(&bpdata);
CVodeFree(&cvode_mem);
return(0);
}
