1 2 static char help[] = "Basic equation for generator stability analysis.\n"; 3 4 /*F 5 6 \begin{eqnarray} 7 \frac{d \theta}{dt} = \omega_b (\omega - \omega_s) 8 \frac{2 H}{\omega_s}\frac{d \omega}{dt} & = & P_m - P_max \sin(\theta) -D(\omega - \omega_s)\\ 9 \end{eqnarray} 10 11 Ensemble of initial conditions 12 ./ex2 -ensemble -ts_monitor_draw_solution_phase -1,-3,3,3 -ts_adapt_dt_max .01 -ts_monitor -ts_type rosw -pc_type lu -ksp_type preonly 13 14 Fault at .1 seconds 15 ./ex2 -ts_monitor_draw_solution_phase .42,.95,.6,1.05 -ts_adapt_dt_max .01 -ts_monitor -ts_type rosw -pc_type lu -ksp_type preonly 16 17 Initial conditions same as when fault is ended 18 ./ex2 -u 0.496792,1.00932 -ts_monitor_draw_solution_phase .42,.95,.6,1.05 -ts_adapt_dt_max .01 -ts_monitor -ts_type rosw -pc_type lu -ksp_type preonly 19 20 F*/ 21 22 /* 23 Include "petscts.h" so that we can use TS solvers. Note that this 24 file automatically includes: 25 petscsys.h - base PETSc routines petscvec.h - vectors 26 petscmat.h - matrices 27 petscis.h - index sets petscksp.h - Krylov subspace methods 28 petscviewer.h - viewers petscpc.h - preconditioners 29 petscksp.h - linear solvers 30 */ 31 32 #include <petsctao.h> 33 #include <petscts.h> 34 35 typedef struct { 36 TS ts; 37 PetscScalar H,D,omega_b,omega_s,Pmax,Pm,E,V,X,u_s,c; 38 PetscInt beta; 39 PetscReal tf,tcl,dt; 40 } AppCtx; 41 42 PetscErrorCode FormFunction(Tao,Vec,PetscReal*,void*); 43 PetscErrorCode FormGradient(Tao,Vec,Vec,void*); 44 45 /* 46 Defines the ODE passed to the ODE solver 47 */ 48 static PetscErrorCode RHSFunction(TS ts,PetscReal t,Vec U,Vec F,AppCtx *ctx) 49 { 50 PetscErrorCode ierr; 51 PetscScalar *f,Pmax; 52 const PetscScalar *u; 53 54 PetscFunctionBegin; 55 /* The next three lines allow us to access the entries of the vectors directly */ 56 ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr); 57 ierr = VecGetArray(F,&f);CHKERRQ(ierr); 58 if ((t > ctx->tf) && (t < ctx->tcl)) Pmax = 0.0; /* A short-circuit on the generator terminal that drives the electrical power output (Pmax*sin(delta)) to 0 */ 59 else Pmax = ctx->Pmax; 60 61 f[0] = ctx->omega_b*(u[1] - ctx->omega_s); 62 f[1] = (-Pmax*PetscSinScalar(u[0]) - ctx->D*(u[1] - ctx->omega_s) + ctx->Pm)*ctx->omega_s/(2.0*ctx->H); 63 64 ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr); 65 ierr = VecRestoreArray(F,&f);CHKERRQ(ierr); 66 PetscFunctionReturn(0); 67 } 68 69 /* 70 Defines the Jacobian of the ODE passed to the ODE solver. See TSSetIJacobian() for the meaning of a and the Jacobian. 71 */ 72 static PetscErrorCode RHSJacobian(TS ts,PetscReal t,Vec U,Mat A,Mat B,AppCtx *ctx) 73 { 74 PetscErrorCode ierr; 75 PetscInt rowcol[] = {0,1}; 76 PetscScalar J[2][2],Pmax; 77 const PetscScalar *u; 78 79 PetscFunctionBegin; 80 ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr); 81 if ((t > ctx->tf) && (t < ctx->tcl)) Pmax = 0.0; /* A short-circuit on the generator terminal that drives the electrical power output (Pmax*sin(delta)) to 0 */ 82 else Pmax = ctx->Pmax; 83 84 J[0][0] = 0; J[0][1] = ctx->omega_b; 85 J[1][1] = -ctx->D*ctx->omega_s/(2.0*ctx->H); J[1][0] = -Pmax*PetscCosScalar(u[0])*ctx->omega_s/(2.0*ctx->H); 86 87 ierr = MatSetValues(A,2,rowcol,2,rowcol,&J[0][0],INSERT_VALUES);CHKERRQ(ierr); 88 ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr); 89 90 ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 91 ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 92 if (A != B) { 93 ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 94 ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 95 } 96 PetscFunctionReturn(0); 97 } 98 99 static PetscErrorCode RHSJacobianP(TS ts,PetscReal t,Vec X,Mat A,void *ctx0) 100 { 101 PetscErrorCode ierr; 102 PetscInt row[] = {0,1},col[]={0}; 103 PetscScalar J[2][1]; 104 AppCtx *ctx=(AppCtx*)ctx0; 105 106 PetscFunctionBeginUser; 107 J[0][0] = 0; 108 J[1][0] = ctx->omega_s/(2.0*ctx->H); 109 ierr = MatSetValues(A,2,row,1,col,&J[0][0],INSERT_VALUES);CHKERRQ(ierr); 110 ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 111 ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 112 PetscFunctionReturn(0); 113 } 114 115 static PetscErrorCode CostIntegrand(TS ts,PetscReal t,Vec U,Vec R,AppCtx *ctx) 116 { 117 PetscErrorCode ierr; 118 PetscScalar *r; 119 const PetscScalar *u; 120 121 PetscFunctionBegin; 122 ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr); 123 ierr = VecGetArray(R,&r);CHKERRQ(ierr); 124 r[0] = ctx->c*PetscPowScalarInt(PetscMax(0., u[0]-ctx->u_s),ctx->beta);CHKERRQ(ierr); 125 ierr = VecRestoreArray(R,&r);CHKERRQ(ierr); 126 ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr); 127 PetscFunctionReturn(0); 128 } 129 130 static PetscErrorCode DRDUJacobianTranspose(TS ts,PetscReal t,Vec U,Mat DRDU,Mat B,AppCtx *ctx) 131 { 132 PetscErrorCode ierr; 133 PetscScalar ru[1]; 134 const PetscScalar *u; 135 PetscInt row[] = {0},col[] = {0}; 136 137 PetscFunctionBegin; 138 ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr); 139 ru[0] = ctx->c*ctx->beta*PetscPowScalarInt(PetscMax(0., u[0]-ctx->u_s),ctx->beta-1);CHKERRQ(ierr); 140 ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr); 141 ierr = MatSetValues(DRDU,1,row,1,col,ru,INSERT_VALUES);CHKERRQ(ierr); 142 ierr = MatAssemblyBegin(DRDU,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 143 ierr = MatAssemblyEnd(DRDU,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 144 PetscFunctionReturn(0); 145 } 146 147 static PetscErrorCode DRDPJacobianTranspose(TS ts,PetscReal t,Vec U,Mat DRDP,AppCtx *ctx) 148 { 149 PetscErrorCode ierr; 150 151 PetscFunctionBegin; 152 ierr = MatZeroEntries(DRDP);CHKERRQ(ierr); 153 ierr = MatAssemblyBegin(DRDP,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 154 ierr = MatAssemblyEnd(DRDP,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 155 PetscFunctionReturn(0); 156 } 157 158 PetscErrorCode ComputeSensiP(Vec lambda,Vec mu,AppCtx *ctx) 159 { 160 PetscErrorCode ierr; 161 PetscScalar *y,sensip; 162 const PetscScalar *x; 163 164 PetscFunctionBegin; 165 ierr = VecGetArrayRead(lambda,&x);CHKERRQ(ierr); 166 ierr = VecGetArray(mu,&y);CHKERRQ(ierr); 167 sensip = 1./PetscSqrtScalar(1.-(ctx->Pm/ctx->Pmax)*(ctx->Pm/ctx->Pmax))/ctx->Pmax*x[0]+y[0]; 168 y[0] = sensip; 169 ierr = VecRestoreArray(mu,&y);CHKERRQ(ierr); 170 ierr = VecRestoreArrayRead(lambda,&x);CHKERRQ(ierr); 171 PetscFunctionReturn(0); 172 } 173 174 int main(int argc,char **argv) 175 { 176 Vec p; 177 PetscScalar *x_ptr; 178 PetscErrorCode ierr; 179 PetscMPIInt size; 180 AppCtx ctx; 181 Vec lowerb,upperb; 182 Tao tao; 183 KSP ksp; 184 PC pc; 185 Vec U,lambda[1],mu[1]; 186 Mat A; /* Jacobian matrix */ 187 Mat Jacp; /* Jacobian matrix */ 188 Mat DRDU,DRDP; 189 PetscInt n = 2; 190 TS quadts; 191 192 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 193 Initialize program 194 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 195 ierr = PetscInitialize(&argc,&argv,NULL,help);if (ierr) return ierr; 196 PetscFunctionBeginUser; 197 ierr = MPI_Comm_size(PETSC_COMM_WORLD,&size);CHKERRMPI(ierr); 198 if (size != 1) SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_WRONG_MPI_SIZE,"This is a uniprocessor example only!"); 199 200 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 201 Set runtime options 202 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 203 ierr = PetscOptionsBegin(PETSC_COMM_WORLD,NULL,"Swing equation options","");CHKERRQ(ierr); 204 { 205 ctx.beta = 2; 206 ctx.c = PetscRealConstant(10000.0); 207 ctx.u_s = PetscRealConstant(1.0); 208 ctx.omega_s = PetscRealConstant(1.0); 209 ctx.omega_b = PetscRealConstant(120.0)*PETSC_PI; 210 ctx.H = PetscRealConstant(5.0); 211 ierr = PetscOptionsScalar("-Inertia","","",ctx.H,&ctx.H,NULL);CHKERRQ(ierr); 212 ctx.D = PetscRealConstant(5.0); 213 ierr = PetscOptionsScalar("-D","","",ctx.D,&ctx.D,NULL);CHKERRQ(ierr); 214 ctx.E = PetscRealConstant(1.1378); 215 ctx.V = PetscRealConstant(1.0); 216 ctx.X = PetscRealConstant(0.545); 217 ctx.Pmax = ctx.E*ctx.V/ctx.X; 218 ierr = PetscOptionsScalar("-Pmax","","",ctx.Pmax,&ctx.Pmax,NULL);CHKERRQ(ierr); 219 ctx.Pm = PetscRealConstant(1.0194); 220 ierr = PetscOptionsScalar("-Pm","","",ctx.Pm,&ctx.Pm,NULL);CHKERRQ(ierr); 221 ctx.tf = PetscRealConstant(0.1); 222 ctx.tcl = PetscRealConstant(0.2); 223 ierr = PetscOptionsReal("-tf","Time to start fault","",ctx.tf,&ctx.tf,NULL);CHKERRQ(ierr); 224 ierr = PetscOptionsReal("-tcl","Time to end fault","",ctx.tcl,&ctx.tcl,NULL);CHKERRQ(ierr); 225 226 } 227 ierr = PetscOptionsEnd();CHKERRQ(ierr); 228 229 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 230 Create necessary matrix and vectors 231 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 232 ierr = MatCreate(PETSC_COMM_WORLD,&A);CHKERRQ(ierr); 233 ierr = MatSetSizes(A,n,n,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr); 234 ierr = MatSetType(A,MATDENSE);CHKERRQ(ierr); 235 ierr = MatSetFromOptions(A);CHKERRQ(ierr); 236 ierr = MatSetUp(A);CHKERRQ(ierr); 237 238 ierr = MatCreateVecs(A,&U,NULL);CHKERRQ(ierr); 239 240 ierr = MatCreate(PETSC_COMM_WORLD,&Jacp);CHKERRQ(ierr); 241 ierr = MatSetSizes(Jacp,PETSC_DECIDE,PETSC_DECIDE,2,1);CHKERRQ(ierr); 242 ierr = MatSetFromOptions(Jacp);CHKERRQ(ierr); 243 ierr = MatSetUp(Jacp);CHKERRQ(ierr); 244 ierr = MatCreateDense(PETSC_COMM_WORLD,PETSC_DECIDE,PETSC_DECIDE,1,1,NULL,&DRDP);CHKERRQ(ierr); 245 ierr = MatSetUp(DRDP);CHKERRQ(ierr); 246 ierr = MatCreateDense(PETSC_COMM_WORLD,PETSC_DECIDE,PETSC_DECIDE,1,2,NULL,&DRDU);CHKERRQ(ierr); 247 ierr = MatSetUp(DRDU);CHKERRQ(ierr); 248 249 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 250 Create timestepping solver context 251 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 252 ierr = TSCreate(PETSC_COMM_WORLD,&ctx.ts);CHKERRQ(ierr); 253 ierr = TSSetProblemType(ctx.ts,TS_NONLINEAR);CHKERRQ(ierr); 254 ierr = TSSetEquationType(ctx.ts,TS_EQ_ODE_EXPLICIT);CHKERRQ(ierr); /* less Jacobian evaluations when adjoint BEuler is used, otherwise no effect */ 255 ierr = TSSetType(ctx.ts,TSRK);CHKERRQ(ierr); 256 ierr = TSSetRHSFunction(ctx.ts,NULL,(TSRHSFunction)RHSFunction,&ctx);CHKERRQ(ierr); 257 ierr = TSSetRHSJacobian(ctx.ts,A,A,(TSRHSJacobian)RHSJacobian,&ctx);CHKERRQ(ierr); 258 ierr = TSSetExactFinalTime(ctx.ts,TS_EXACTFINALTIME_MATCHSTEP);CHKERRQ(ierr); 259 260 ierr = MatCreateVecs(A,&lambda[0],NULL);CHKERRQ(ierr); 261 ierr = MatCreateVecs(Jacp,&mu[0],NULL);CHKERRQ(ierr); 262 ierr = TSSetCostGradients(ctx.ts,1,lambda,mu);CHKERRQ(ierr); 263 ierr = TSSetRHSJacobianP(ctx.ts,Jacp,RHSJacobianP,&ctx);CHKERRQ(ierr); 264 265 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 266 Set solver options 267 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 268 ierr = TSSetMaxTime(ctx.ts,PetscRealConstant(1.0));CHKERRQ(ierr); 269 ierr = TSSetTimeStep(ctx.ts,PetscRealConstant(0.01));CHKERRQ(ierr); 270 ierr = TSSetFromOptions(ctx.ts);CHKERRQ(ierr); 271 272 ierr = TSGetTimeStep(ctx.ts,&ctx.dt);CHKERRQ(ierr); /* save the stepsize */ 273 274 ierr = TSCreateQuadratureTS(ctx.ts,PETSC_TRUE,&quadts);CHKERRQ(ierr); 275 ierr = TSSetRHSFunction(quadts,NULL,(TSRHSFunction)CostIntegrand,&ctx);CHKERRQ(ierr); 276 ierr = TSSetRHSJacobian(quadts,DRDU,DRDU,(TSRHSJacobian)DRDUJacobianTranspose,&ctx);CHKERRQ(ierr); 277 ierr = TSSetRHSJacobianP(quadts,DRDP,(TSRHSJacobianP)DRDPJacobianTranspose,&ctx);CHKERRQ(ierr); 278 ierr = TSSetSolution(ctx.ts,U);CHKERRQ(ierr); 279 280 /* Create TAO solver and set desired solution method */ 281 ierr = TaoCreate(PETSC_COMM_WORLD,&tao);CHKERRQ(ierr); 282 ierr = TaoSetType(tao,TAOBLMVM);CHKERRQ(ierr); 283 284 /* 285 Optimization starts 286 */ 287 /* Set initial solution guess */ 288 ierr = VecCreateSeq(PETSC_COMM_WORLD,1,&p);CHKERRQ(ierr); 289 ierr = VecGetArray(p,&x_ptr);CHKERRQ(ierr); 290 x_ptr[0] = ctx.Pm; 291 ierr = VecRestoreArray(p,&x_ptr);CHKERRQ(ierr); 292 293 ierr = TaoSetInitialVector(tao,p);CHKERRQ(ierr); 294 /* Set routine for function and gradient evaluation */ 295 ierr = TaoSetObjectiveRoutine(tao,FormFunction,(void *)&ctx);CHKERRQ(ierr); 296 ierr = TaoSetGradientRoutine(tao,FormGradient,(void *)&ctx);CHKERRQ(ierr); 297 298 /* Set bounds for the optimization */ 299 ierr = VecDuplicate(p,&lowerb);CHKERRQ(ierr); 300 ierr = VecDuplicate(p,&upperb);CHKERRQ(ierr); 301 ierr = VecGetArray(lowerb,&x_ptr);CHKERRQ(ierr); 302 x_ptr[0] = 0.; 303 ierr = VecRestoreArray(lowerb,&x_ptr);CHKERRQ(ierr); 304 ierr = VecGetArray(upperb,&x_ptr);CHKERRQ(ierr); 305 x_ptr[0] = PetscRealConstant(1.1); 306 ierr = VecRestoreArray(upperb,&x_ptr);CHKERRQ(ierr); 307 ierr = TaoSetVariableBounds(tao,lowerb,upperb);CHKERRQ(ierr); 308 309 /* Check for any TAO command line options */ 310 ierr = TaoSetFromOptions(tao);CHKERRQ(ierr); 311 ierr = TaoGetKSP(tao,&ksp);CHKERRQ(ierr); 312 if (ksp) { 313 ierr = KSPGetPC(ksp,&pc);CHKERRQ(ierr); 314 ierr = PCSetType(pc,PCNONE);CHKERRQ(ierr); 315 } 316 317 /* SOLVE THE APPLICATION */ 318 ierr = TaoSolve(tao);CHKERRQ(ierr); 319 320 ierr = VecView(p,PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr); 321 /* Free TAO data structures */ 322 ierr = TaoDestroy(&tao);CHKERRQ(ierr); 323 ierr = VecDestroy(&p);CHKERRQ(ierr); 324 ierr = VecDestroy(&lowerb);CHKERRQ(ierr); 325 ierr = VecDestroy(&upperb);CHKERRQ(ierr); 326 327 ierr = TSDestroy(&ctx.ts);CHKERRQ(ierr); 328 ierr = VecDestroy(&U);CHKERRQ(ierr); 329 ierr = MatDestroy(&A);CHKERRQ(ierr); 330 ierr = MatDestroy(&Jacp);CHKERRQ(ierr); 331 ierr = MatDestroy(&DRDU);CHKERRQ(ierr); 332 ierr = MatDestroy(&DRDP);CHKERRQ(ierr); 333 ierr = VecDestroy(&lambda[0]);CHKERRQ(ierr); 334 ierr = VecDestroy(&mu[0]);CHKERRQ(ierr); 335 ierr = PetscFinalize(); 336 return ierr; 337 } 338 339 /* ------------------------------------------------------------------ */ 340 /* 341 FormFunction - Evaluates the function 342 343 Input Parameters: 344 tao - the Tao context 345 X - the input vector 346 ptr - optional user-defined context, as set by TaoSetObjectiveAndGradientRoutine() 347 348 Output Parameters: 349 f - the newly evaluated function 350 */ 351 PetscErrorCode FormFunction(Tao tao,Vec P,PetscReal *f,void *ctx0) 352 { 353 AppCtx *ctx = (AppCtx*)ctx0; 354 TS ts = ctx->ts; 355 Vec U; /* solution will be stored here */ 356 PetscErrorCode ierr; 357 PetscScalar *u; 358 PetscScalar *x_ptr; 359 Vec q; 360 361 ierr = VecGetArrayRead(P,(const PetscScalar**)&x_ptr);CHKERRQ(ierr); 362 ctx->Pm = x_ptr[0]; 363 ierr = VecRestoreArrayRead(P,(const PetscScalar**)&x_ptr);CHKERRQ(ierr); 364 365 /* reset time */ 366 ierr = TSSetTime(ts,0.0);CHKERRQ(ierr); 367 /* reset step counter, this is critical for adjoint solver */ 368 ierr = TSSetStepNumber(ts,0);CHKERRQ(ierr); 369 /* reset step size, the step size becomes negative after TSAdjointSolve */ 370 ierr = TSSetTimeStep(ts,ctx->dt);CHKERRQ(ierr); 371 /* reinitialize the integral value */ 372 ierr = TSGetCostIntegral(ts,&q);CHKERRQ(ierr); 373 ierr = VecSet(q,0.0);CHKERRQ(ierr); 374 375 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 376 Set initial conditions 377 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 378 ierr = TSGetSolution(ts,&U);CHKERRQ(ierr); 379 ierr = VecGetArray(U,&u);CHKERRQ(ierr); 380 u[0] = PetscAsinScalar(ctx->Pm/ctx->Pmax); 381 u[1] = PetscRealConstant(1.0); 382 ierr = VecRestoreArray(U,&u);CHKERRQ(ierr); 383 384 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 385 Solve nonlinear system 386 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 387 ierr = TSSolve(ts,U);CHKERRQ(ierr); 388 ierr = TSGetCostIntegral(ts,&q);CHKERRQ(ierr); 389 ierr = VecGetArray(q,&x_ptr);CHKERRQ(ierr); 390 *f = -ctx->Pm + x_ptr[0]; 391 ierr = VecRestoreArray(q,&x_ptr);CHKERRQ(ierr); 392 return 0; 393 } 394 395 PetscErrorCode FormGradient(Tao tao,Vec P,Vec G,void *ctx0) 396 { 397 AppCtx *ctx = (AppCtx*)ctx0; 398 TS ts = ctx->ts; 399 Vec U; /* solution will be stored here */ 400 PetscErrorCode ierr; 401 PetscReal ftime; 402 PetscInt steps; 403 PetscScalar *u; 404 PetscScalar *x_ptr,*y_ptr; 405 Vec *lambda,q,*mu; 406 407 ierr = VecGetArrayRead(P,(const PetscScalar**)&x_ptr);CHKERRQ(ierr); 408 ctx->Pm = x_ptr[0]; 409 ierr = VecRestoreArrayRead(P,(const PetscScalar**)&x_ptr);CHKERRQ(ierr); 410 411 /* reset time */ 412 ierr = TSSetTime(ts,0.0);CHKERRQ(ierr); 413 /* reset step counter, this is critical for adjoint solver */ 414 ierr = TSSetStepNumber(ts,0);CHKERRQ(ierr); 415 /* reset step size, the step size becomes negative after TSAdjointSolve */ 416 ierr = TSSetTimeStep(ts,ctx->dt);CHKERRQ(ierr); 417 /* reinitialize the integral value */ 418 ierr = TSGetCostIntegral(ts,&q);CHKERRQ(ierr); 419 ierr = VecSet(q,0.0);CHKERRQ(ierr); 420 421 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 422 Set initial conditions 423 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 424 ierr = TSGetSolution(ts,&U);CHKERRQ(ierr); 425 ierr = VecGetArray(U,&u);CHKERRQ(ierr); 426 u[0] = PetscAsinScalar(ctx->Pm/ctx->Pmax); 427 u[1] = PetscRealConstant(1.0); 428 ierr = VecRestoreArray(U,&u);CHKERRQ(ierr); 429 430 /* Set up to save trajectory before TSSetFromOptions() so that TSTrajectory options can be captured */ 431 ierr = TSSetSaveTrajectory(ts);CHKERRQ(ierr); 432 ierr = TSSetFromOptions(ts);CHKERRQ(ierr); 433 434 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 435 Solve nonlinear system 436 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 437 ierr = TSSolve(ts,U);CHKERRQ(ierr); 438 439 ierr = TSGetSolveTime(ts,&ftime);CHKERRQ(ierr); 440 ierr = TSGetStepNumber(ts,&steps);CHKERRQ(ierr); 441 442 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 443 Adjoint model starts here 444 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 445 ierr = TSGetCostGradients(ts,NULL,&lambda,&mu);CHKERRQ(ierr); 446 /* Set initial conditions for the adjoint integration */ 447 ierr = VecGetArray(lambda[0],&y_ptr);CHKERRQ(ierr); 448 y_ptr[0] = 0.0; y_ptr[1] = 0.0; 449 ierr = VecRestoreArray(lambda[0],&y_ptr);CHKERRQ(ierr); 450 ierr = VecGetArray(mu[0],&x_ptr);CHKERRQ(ierr); 451 x_ptr[0] = PetscRealConstant(-1.0); 452 ierr = VecRestoreArray(mu[0],&x_ptr);CHKERRQ(ierr); 453 454 ierr = TSAdjointSolve(ts);CHKERRQ(ierr); 455 ierr = TSGetCostIntegral(ts,&q);CHKERRQ(ierr); 456 ierr = ComputeSensiP(lambda[0],mu[0],ctx);CHKERRQ(ierr); 457 ierr = VecCopy(mu[0],G);CHKERRQ(ierr); 458 return 0; 459 } 460 461 /*TEST 462 463 build: 464 requires: !complex 465 466 test: 467 args: -viewer_binary_skip_info -ts_adapt_type none -tao_monitor -tao_gatol 0.0 -tao_grtol 1.e-3 -tao_converged_reason 468 469 test: 470 suffix: 2 471 args: -viewer_binary_skip_info -ts_adapt_type none -tao_monitor -tao_gatol 0.0 -tao_grtol 1.e-3 -tao_converged_reason -tao_test_gradient 472 473 TEST*/ 474