1 static char help[] = "Solves DAE with integrator only on non-algebraic terms \n"; 2 3 #include <petscts.h> 4 5 /* 6 \dot{U} = f(U,V) 7 F(U,V) = 0 8 9 Same as ex6.c and ex7.c except calls the TSROSW integrator on the entire DAE 10 */ 11 12 /* 13 f(U,V) = U + V 14 15 */ 16 PetscErrorCode f(PetscReal t,Vec UV,Vec F) 17 { 18 const PetscScalar *u,*v; 19 PetscScalar *f; 20 PetscInt n,i; 21 22 PetscFunctionBeginUser; 23 PetscCall(VecGetLocalSize(UV,&n)); 24 n = n/2; 25 PetscCall(VecGetArrayRead(UV,&u)); 26 v = u + n; 27 PetscCall(VecGetArrayWrite(F,&f)); 28 for (i=0; i<n; i++) f[i] = u[i] + v[i]; 29 PetscCall(VecRestoreArrayRead(UV,&u)); 30 PetscCall(VecRestoreArrayWrite(F,&f)); 31 PetscFunctionReturn(0); 32 } 33 34 /* 35 F(U,V) = U - V 36 37 */ 38 PetscErrorCode F(PetscReal t,Vec UV,Vec F) 39 { 40 const PetscScalar *u,*v; 41 PetscScalar *f; 42 PetscInt n,i; 43 44 PetscFunctionBeginUser; 45 PetscCall(VecGetLocalSize(UV,&n)); 46 n = n/2; 47 PetscCall(VecGetArrayRead(UV,&u)); 48 v = u + n; 49 PetscCall(VecGetArrayWrite(F,&f)); 50 f = f + n; 51 for (i=0; i<n; i++) f[i] = u[i] - v[i]; 52 f = f - n; 53 PetscCall(VecRestoreArrayRead(UV,&u)); 54 PetscCall(VecRestoreArrayWrite(F,&f)); 55 PetscFunctionReturn(0); 56 } 57 58 typedef struct { 59 PetscErrorCode (*f)(PetscReal,Vec,Vec); 60 PetscErrorCode (*F)(PetscReal,Vec,Vec); 61 } AppCtx; 62 63 extern PetscErrorCode TSFunctionRHS(TS,PetscReal,Vec,Vec,void*); 64 extern PetscErrorCode TSFunctionI(TS,PetscReal,Vec,Vec,Vec,void*); 65 66 int main(int argc,char **argv) 67 { 68 AppCtx ctx; 69 TS ts; 70 Vec tsrhs,UV; 71 72 PetscFunctionBeginUser; 73 PetscCall(PetscInitialize(&argc,&argv,(char*)0,help)); 74 PetscCall(TSCreate(PETSC_COMM_WORLD,&ts)); 75 PetscCall(TSSetProblemType(ts,TS_NONLINEAR)); 76 PetscCall(TSSetType(ts,TSROSW)); 77 PetscCall(TSSetFromOptions(ts)); 78 PetscCall(VecCreateMPI(PETSC_COMM_WORLD,2,PETSC_DETERMINE,&tsrhs)); 79 PetscCall(VecDuplicate(tsrhs,&UV)); 80 PetscCall(TSSetRHSFunction(ts,tsrhs,TSFunctionRHS,&ctx)); 81 PetscCall(TSSetIFunction(ts,NULL,TSFunctionI,&ctx)); 82 PetscCall(TSSetMaxTime(ts,1.0)); 83 ctx.f = f; 84 ctx.F = F; 85 86 PetscCall(VecSet(UV,1.0)); 87 PetscCall(TSSolve(ts,UV)); 88 PetscCall(VecDestroy(&tsrhs)); 89 PetscCall(VecDestroy(&UV)); 90 PetscCall(TSDestroy(&ts)); 91 PetscCall(PetscFinalize()); 92 return 0; 93 } 94 95 /* 96 Defines the RHS function that is passed to the time-integrator. 97 */ 98 PetscErrorCode TSFunctionRHS(TS ts,PetscReal t,Vec UV,Vec F,void *actx) 99 { 100 AppCtx *ctx = (AppCtx*)actx; 101 102 PetscFunctionBeginUser; 103 PetscCall(VecSet(F,0.0)); 104 PetscCall((*ctx->f)(t,UV,F)); 105 PetscFunctionReturn(0); 106 } 107 108 /* 109 Defines the nonlinear function that is passed to the time-integrator 110 */ 111 PetscErrorCode TSFunctionI(TS ts,PetscReal t,Vec UV,Vec UVdot,Vec F,void *actx) 112 { 113 AppCtx *ctx = (AppCtx*)actx; 114 115 PetscFunctionBeginUser; 116 PetscCall(VecCopy(UVdot,F)); 117 PetscCall((*ctx->F)(t,UV,F)); 118 PetscFunctionReturn(0); 119 } 120 121 /*TEST 122 123 test: 124 args: -ts_view 125 126 test: 127 suffix: 2 128 args: -snes_lag_jacobian 2 -ts_view 129 130 TEST*/ 131