xref: /petsc/src/dm/tests/ex12.c (revision c4762a1b19cd2af06abeed90e8f9d34fb975dd94)
1 
2 /*
3    Simple example to show how PETSc programs can be run from MATLAB.
4   See ex12.m.
5 */
6 
7 static char help[] = "Solves the one dimensional heat equation.\n\n";
8 
9 #include <petscdm.h>
10 #include <petscdmda.h>
11 
12 int main(int argc,char **argv)
13 {
14   PetscMPIInt    rank,size;
15   PetscInt       M = 14,time_steps = 20,w=1,s=1,localsize,j,i,mybase,myend,globalsize;
16   PetscErrorCode ierr;
17   DM             da;
18   Vec            global,local;
19   PetscScalar    *globalptr,*localptr;
20   PetscReal      h,k;
21 
22   ierr = PetscInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
23   ierr = PetscOptionsGetInt(NULL,NULL,"-M",&M,NULL);CHKERRQ(ierr);
24   ierr = PetscOptionsGetInt(NULL,NULL,"-time",&time_steps,NULL);CHKERRQ(ierr);
25 
26   /* Set up the array */
27   ierr = DMDACreate1d(PETSC_COMM_WORLD,DM_BOUNDARY_NONE,M,w,s,NULL,&da);CHKERRQ(ierr);
28   ierr = DMSetFromOptions(da);CHKERRQ(ierr);
29   ierr = DMSetUp(da);CHKERRQ(ierr);
30   ierr = DMCreateGlobalVector(da,&global);CHKERRQ(ierr);
31   ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr);
32   ierr = MPI_Comm_size(PETSC_COMM_WORLD,&size);CHKERRQ(ierr);
33 
34   /* Make copy of local array for doing updates */
35   ierr = DMCreateLocalVector(da,&local);CHKERRQ(ierr);
36 
37 
38   /* determine starting point of each processor */
39   ierr = VecGetOwnershipRange(global,&mybase,&myend);CHKERRQ(ierr);
40 
41   /* Initialize the Array */
42   ierr = VecGetLocalSize (global,&globalsize);CHKERRQ(ierr);
43   ierr = VecGetArray (global,&globalptr);CHKERRQ(ierr);
44 
45 
46   for (i=0; i<globalsize; i++) {
47     j = i + mybase;
48 
49     globalptr[i] = PetscSinReal((PETSC_PI*j*6)/((PetscReal)M) + 1.2 * PetscSinReal((PETSC_PI*j*2)/((PetscReal)M))) * 4+4;
50   }
51 
52   ierr = VecRestoreArray(global,&localptr);CHKERRQ(ierr);
53 
54   /* Assign Parameters */
55   h= 1.0/M;
56   k= h*h/2.2;
57   ierr = VecGetLocalSize(local,&localsize);CHKERRQ(ierr);
58 
59   for (j=0; j<time_steps; j++) {
60 
61     /* Global to Local */
62     ierr = DMGlobalToLocalBegin(da,global,INSERT_VALUES,local);CHKERRQ(ierr);
63     ierr = DMGlobalToLocalEnd(da,global,INSERT_VALUES,local);CHKERRQ(ierr);
64 
65     /*Extract local array */
66     ierr = VecGetArray(local,&localptr);CHKERRQ(ierr);
67     ierr = VecGetArray (global,&globalptr);CHKERRQ(ierr);
68 
69     /* Update Locally - Make array of new values */
70     /* Note: I don't do anything for the first and last entry */
71     for (i=1; i< localsize-1; i++) {
72       globalptr[i-1] = localptr[i] + (k/(h*h)) * (localptr[i+1]-2.0*localptr[i]+localptr[i-1]);
73     }
74 
75     ierr = VecRestoreArray (global,&globalptr);CHKERRQ(ierr);
76     ierr = VecRestoreArray(local,&localptr);CHKERRQ(ierr);
77 
78     /* View Wave */
79     /* Set Up Display to Show Heat Graph */
80 #if defined(PETSC_USE_SOCKET_VIEWER)
81     ierr = VecView(global,PETSC_VIEWER_SOCKET_WORLD);CHKERRQ(ierr);
82 #endif
83   }
84 
85   ierr = VecDestroy(&local);CHKERRQ(ierr);
86   ierr = VecDestroy(&global);CHKERRQ(ierr);
87   ierr = DMDestroy(&da);CHKERRQ(ierr);
88   ierr = PetscFinalize();
89   return ierr;
90 }
91 
92