Actual source code: pipeInterface.c

  1: #include "wash.h"

  3: /* Subroutines for Pipe                                  */
  4: /* -------------------------------------------------------*/

  6: /*
  7:    PipeCreate - Create Pipe object.

  9:    Input Parameters:
 10:    comm - MPI communicator

 12:    Output Parameter:
 13: .  pipe - location to put the PIPE context
 14: */
 15: PetscErrorCode PipeCreate(MPI_Comm comm, Pipe *pipe)
 16: {
 17:   PetscFunctionBegin;
 18:   PetscCall(PetscNew(pipe));
 19:   PetscFunctionReturn(PETSC_SUCCESS);
 20: }

 22: /*
 23:    PipeDestroy - Destroy Pipe object.

 25:    Input Parameters:
 26:    pipe - Reference to pipe intended to be destroyed.
 27: */
 28: PetscErrorCode PipeDestroy(Pipe *pipe)
 29: {
 30:   PetscFunctionBegin;
 31:   if (!*pipe) PetscFunctionReturn(PETSC_SUCCESS);

 33:   PetscCall(PipeDestroyJacobian(*pipe));
 34:   PetscCall(VecDestroy(&(*pipe)->x));
 35:   PetscCall(DMDestroy(&(*pipe)->da));
 36:   PetscFunctionReturn(PETSC_SUCCESS);
 37: }

 39: /*
 40:    PipeSetParameters - Set parameters for Pipe context

 42:    Input Parameter:
 43: +  pipe - PIPE object
 44: .  length -
 45: .  nnodes -
 46: .  D -
 47: .  a -
 48: -  fric -
 49: */
 50: PetscErrorCode PipeSetParameters(Pipe pipe, PetscReal length, PetscReal D, PetscReal a, PetscReal fric)
 51: {
 52:   PetscFunctionBegin;
 53:   pipe->length = length;
 54:   pipe->D      = D;
 55:   pipe->a      = a;
 56:   pipe->fric   = fric;
 57:   PetscFunctionReturn(PETSC_SUCCESS);
 58: }

 60: /*
 61:     PipeSetUp - Set up pipe based on set parameters.
 62: */
 63: PetscErrorCode PipeSetUp(Pipe pipe)
 64: {
 65:   DMDALocalInfo info;

 67:   PetscFunctionBegin;
 68:   PetscCall(DMDACreate1d(PETSC_COMM_SELF, DM_BOUNDARY_GHOSTED, pipe->nnodes, 2, 1, NULL, &pipe->da));
 69:   PetscCall(DMSetFromOptions(pipe->da));
 70:   PetscCall(DMSetUp(pipe->da));
 71:   PetscCall(DMDASetFieldName(pipe->da, 0, "Q"));
 72:   PetscCall(DMDASetFieldName(pipe->da, 1, "H"));
 73:   PetscCall(DMDASetUniformCoordinates(pipe->da, 0, pipe->length, 0, 0, 0, 0));
 74:   PetscCall(DMCreateGlobalVector(pipe->da, &(pipe->x)));

 76:   PetscCall(DMDAGetLocalInfo(pipe->da, &info));

 78:   pipe->rad = pipe->D / 2;
 79:   pipe->A   = PETSC_PI * pipe->rad * pipe->rad;
 80:   pipe->R   = pipe->fric / (2 * pipe->D * pipe->A);
 81:   PetscFunctionReturn(PETSC_SUCCESS);
 82: }

 84: /*
 85:     PipeCreateJacobian - Create Jacobian matrix structures for a Pipe.

 87:     Collective

 89:     Input Parameter:
 90: +   pipe - the Pipe object
 91: -   Jin - array of three constructed Jacobian matrices to be reused. Set NULL if it is not available

 93:     Output Parameter:
 94: .   J  - array of three empty Jacobian matrices

 96:     Level: beginner
 97: */
 98: PetscErrorCode PipeCreateJacobian(Pipe pipe, Mat *Jin, Mat *J[])
 99: {
100:   Mat         *Jpipe;
101:   PetscInt     M, rows[2], cols[2], *nz;
102:   PetscScalar *aa;

104:   PetscFunctionBegin;
105:   if (Jin) {
106:     *J             = Jin;
107:     pipe->jacobian = Jin;
108:     PetscCall(PetscObjectReference((PetscObject)(Jin[0])));
109:     PetscFunctionReturn(PETSC_SUCCESS);
110:   }
111:   PetscCall(PetscMalloc1(3, &Jpipe));

113:   /* Jacobian for this pipe */
114:   PetscCall(DMSetMatrixStructureOnly(pipe->da, PETSC_TRUE));
115:   PetscCall(DMCreateMatrix(pipe->da, &Jpipe[0]));
116:   PetscCall(DMSetMatrixStructureOnly(pipe->da, PETSC_FALSE));

118:   /* Jacobian for upstream vertex */
119:   PetscCall(MatGetSize(Jpipe[0], &M, NULL));
120:   PetscCall(PetscCalloc2(M, &nz, 4, &aa));

122:   PetscCall(MatCreate(PETSC_COMM_SELF, &Jpipe[1]));
123:   PetscCall(MatSetSizes(Jpipe[1], PETSC_DECIDE, PETSC_DECIDE, M, 2));
124:   PetscCall(MatSetFromOptions(Jpipe[1]));
125:   PetscCall(MatSetOption(Jpipe[1], MAT_STRUCTURE_ONLY, PETSC_TRUE));
126:   nz[0]   = 2;
127:   nz[1]   = 2;
128:   rows[0] = 0;
129:   rows[1] = 1;
130:   cols[0] = 0;
131:   cols[1] = 1;
132:   PetscCall(MatSeqAIJSetPreallocation(Jpipe[1], 0, nz));
133:   PetscCall(MatSetValues(Jpipe[1], 2, rows, 2, cols, aa, INSERT_VALUES));
134:   PetscCall(MatAssemblyBegin(Jpipe[1], MAT_FINAL_ASSEMBLY));
135:   PetscCall(MatAssemblyEnd(Jpipe[1], MAT_FINAL_ASSEMBLY));

137:   /* Jacobian for downstream vertex */
138:   PetscCall(MatCreate(PETSC_COMM_SELF, &Jpipe[2]));
139:   PetscCall(MatSetSizes(Jpipe[2], PETSC_DECIDE, PETSC_DECIDE, M, 2));
140:   PetscCall(MatSetFromOptions(Jpipe[2]));
141:   PetscCall(MatSetOption(Jpipe[2], MAT_STRUCTURE_ONLY, PETSC_TRUE));
142:   nz[0]     = 0;
143:   nz[1]     = 0;
144:   nz[M - 2] = 2;
145:   nz[M - 1] = 2;
146:   rows[0]   = M - 2;
147:   rows[1]   = M - 1;
148:   PetscCall(MatSeqAIJSetPreallocation(Jpipe[2], 0, nz));
149:   PetscCall(MatSetValues(Jpipe[2], 2, rows, 2, cols, aa, INSERT_VALUES));
150:   PetscCall(MatAssemblyBegin(Jpipe[2], MAT_FINAL_ASSEMBLY));
151:   PetscCall(MatAssemblyEnd(Jpipe[2], MAT_FINAL_ASSEMBLY));

153:   PetscCall(PetscFree2(nz, aa));

155:   *J             = Jpipe;
156:   pipe->jacobian = Jpipe;
157:   PetscFunctionReturn(PETSC_SUCCESS);
158: }

160: PetscErrorCode PipeDestroyJacobian(Pipe pipe)
161: {
162:   Mat     *Jpipe = pipe->jacobian;
163:   PetscInt i;

165:   PetscFunctionBegin;
166:   if (Jpipe) {
167:     for (i = 0; i < 3; i++) PetscCall(MatDestroy(&Jpipe[i]));
168:   }
169:   PetscCall(PetscFree(Jpipe));
170:   PetscFunctionReturn(PETSC_SUCCESS);
171: }

173: /*
174:     JunctionCreateJacobian - Create Jacobian matrices for a vertex.

176:     Collective

178:     Input Parameter:
179: +   dm - the DMNetwork object
180: .   v - vertex point
181: -   Jin - Jacobian patterns created by JunctionCreateJacobianSample() for reuse

183:     Output Parameter:
184: .   J  - array of Jacobian matrices (see dmnetworkimpl.h)

186:     Level: beginner
187: */
188: PetscErrorCode JunctionCreateJacobian(DM dm, PetscInt v, Mat *Jin, Mat *J[])
189: {
190:   Mat            *Jv;
191:   PetscInt        nedges, e, i, M, N, *rows, *cols;
192:   PetscBool       isSelf;
193:   const PetscInt *edges, *cone;
194:   PetscScalar    *zeros;

196:   PetscFunctionBegin;
197:   /* Get array size of Jv */
198:   PetscCall(DMNetworkGetSupportingEdges(dm, v, &nedges, &edges));
199:   PetscCheck(nedges > 0, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "%" PetscInt_FMT " vertex, nedges %" PetscInt_FMT, v, nedges);

201:   /* two Jacobians for each connected edge: J(v,e) and J(v,vc); adding J(v,v), total 2*nedges+1 Jacobians */
202:   PetscCall(PetscCalloc1(2 * nedges + 1, &Jv));

204:   /* Create dense zero block for this vertex: J[0] = Jacobian(v,v) */
205:   PetscCall(DMNetworkGetComponent(dm, v, -1, NULL, NULL, &M));
206:   PetscCheck(M == 2, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "%" PetscInt_FMT " != 2", M);
207:   PetscCall(PetscMalloc3(M, &rows, M, &cols, M * M, &zeros));
208:   PetscCall(PetscArrayzero(zeros, M * M));
209:   for (i = 0; i < M; i++) rows[i] = i;

211:   for (e = 0; e < nedges; e++) {
212:     /* create Jv[2*e+1] = Jacobian(v,e), e: supporting edge */
213:     PetscCall(DMNetworkGetConnectedVertices(dm, edges[e], &cone));
214:     isSelf = (v == cone[0]) ? PETSC_TRUE : PETSC_FALSE;

216:     if (Jin) {
217:       if (isSelf) {
218:         Jv[2 * e + 1] = Jin[0];
219:       } else {
220:         Jv[2 * e + 1] = Jin[1];
221:       }
222:       Jv[2 * e + 2] = Jin[2];
223:       PetscCall(PetscObjectReference((PetscObject)(Jv[2 * e + 1])));
224:       PetscCall(PetscObjectReference((PetscObject)(Jv[2 * e + 2])));
225:     } else {
226:       /* create J(v,e) */
227:       PetscCall(MatCreate(PETSC_COMM_SELF, &Jv[2 * e + 1]));
228:       PetscCall(DMNetworkGetComponent(dm, edges[e], -1, NULL, NULL, &N));
229:       PetscCall(MatSetSizes(Jv[2 * e + 1], PETSC_DECIDE, PETSC_DECIDE, M, N));
230:       PetscCall(MatSetFromOptions(Jv[2 * e + 1]));
231:       PetscCall(MatSetOption(Jv[2 * e + 1], MAT_STRUCTURE_ONLY, PETSC_TRUE));
232:       PetscCall(MatSeqAIJSetPreallocation(Jv[2 * e + 1], 2, NULL));
233:       if (N) {
234:         if (isSelf) { /* coupling at upstream */
235:           for (i = 0; i < 2; i++) cols[i] = i;
236:         } else { /* coupling at downstream */
237:           cols[0] = N - 2;
238:           cols[1] = N - 1;
239:         }
240:         PetscCall(MatSetValues(Jv[2 * e + 1], 2, rows, 2, cols, zeros, INSERT_VALUES));
241:       }
242:       PetscCall(MatAssemblyBegin(Jv[2 * e + 1], MAT_FINAL_ASSEMBLY));
243:       PetscCall(MatAssemblyEnd(Jv[2 * e + 1], MAT_FINAL_ASSEMBLY));

245:       /* create Jv[2*e+2] = Jacobian(v,vc), vc: connected vertex.
246:        In WashNetwork, v and vc are not connected, thus Jacobian(v,vc) is empty */
247:       PetscCall(MatCreate(PETSC_COMM_SELF, &Jv[2 * e + 2]));
248:       PetscCall(MatSetSizes(Jv[2 * e + 2], PETSC_DECIDE, PETSC_DECIDE, M, M)); /* empty matrix, sizes can be arbitrary */
249:       PetscCall(MatSetFromOptions(Jv[2 * e + 2]));
250:       PetscCall(MatSetOption(Jv[2 * e + 2], MAT_STRUCTURE_ONLY, PETSC_TRUE));
251:       PetscCall(MatSeqAIJSetPreallocation(Jv[2 * e + 2], 1, NULL));
252:       PetscCall(MatAssemblyBegin(Jv[2 * e + 2], MAT_FINAL_ASSEMBLY));
253:       PetscCall(MatAssemblyEnd(Jv[2 * e + 2], MAT_FINAL_ASSEMBLY));
254:     }
255:   }
256:   PetscCall(PetscFree3(rows, cols, zeros));

258:   *J = Jv;
259:   PetscFunctionReturn(PETSC_SUCCESS);
260: }

262: PetscErrorCode JunctionDestroyJacobian(DM dm, PetscInt v, Junction junc)
263: {
264:   Mat            *Jv = junc->jacobian;
265:   const PetscInt *edges;
266:   PetscInt        nedges, e;

268:   PetscFunctionBegin;
269:   if (!Jv) PetscFunctionReturn(PETSC_SUCCESS);

271:   PetscCall(DMNetworkGetSupportingEdges(dm, v, &nedges, &edges));
272:   for (e = 0; e < nedges; e++) {
273:     PetscCall(MatDestroy(&Jv[2 * e + 1]));
274:     PetscCall(MatDestroy(&Jv[2 * e + 2]));
275:   }
276:   PetscCall(PetscFree(Jv));
277:   PetscFunctionReturn(PETSC_SUCCESS);
278: }