1 | /********************************************************** |
---|
2 | Generic params class |
---|
3 | **********************************************************/ |
---|
4 | struct params; |
---|
5 | |
---|
6 | // vtable |
---|
7 | struct params_vtable { |
---|
8 | struct params* (*destroy) (struct params *q); |
---|
9 | }; |
---|
10 | |
---|
11 | // structure |
---|
12 | struct params { |
---|
13 | struct params_vtable *vtable; |
---|
14 | |
---|
15 | double epsilon; |
---|
16 | double cfl; |
---|
17 | }; |
---|
18 | |
---|
19 | // Public API |
---|
20 | |
---|
21 | // Destruction |
---|
22 | struct params* params_destroy(struct params *q); |
---|
23 | |
---|
24 | // method declarations |
---|
25 | |
---|
26 | // method implementations |
---|
27 | struct params* params_destroy(struct params *q) { |
---|
28 | return q->vtable->destroy(q); |
---|
29 | } |
---|
30 | /**********************************************************/ |
---|
31 | |
---|
32 | |
---|
33 | /********************************************************** |
---|
34 | Generic quantity class |
---|
35 | **********************************************************/ |
---|
36 | struct quantity; |
---|
37 | |
---|
38 | // vtable |
---|
39 | struct quantity_vtable { |
---|
40 | double* (*flux_formula) (struct quantity *q, double normal, struct params *p, double *quantityflux); |
---|
41 | double (*sound_speed) (struct quantity *q, struct params *p); |
---|
42 | double (*get_conserved) (struct quantity *q, int k, double normal); |
---|
43 | struct quantity* (*destroy) (struct quantity *q); |
---|
44 | }; |
---|
45 | |
---|
46 | // structure |
---|
47 | struct quantity { |
---|
48 | struct quantity_vtable *vtable; |
---|
49 | }; |
---|
50 | |
---|
51 | // Public API |
---|
52 | // Destruction |
---|
53 | struct quantity* quantity_destroy(struct quantity *q); |
---|
54 | |
---|
55 | // method declarations |
---|
56 | double* quantity_flux_formula (struct quantity *q, double normal, struct params *p, double *quantityflux); |
---|
57 | double quantity_sound_speed (struct quantity *q, struct params *p); |
---|
58 | double quantity_get_conserved (struct quantity *q, int k, double normal); |
---|
59 | |
---|
60 | // method implementations |
---|
61 | double* quantity_flux_formula (struct quantity *q, double normal, struct params *p, double *quantityflux) { |
---|
62 | return q->vtable->flux_formula(q, normal, p, quantityflux); |
---|
63 | } |
---|
64 | |
---|
65 | double quantity_sound_speed (struct quantity *q, struct params *p) { |
---|
66 | return q->vtable->sound_speed(q, p); |
---|
67 | } |
---|
68 | |
---|
69 | double quantity_get_conserved (struct quantity *q, int k, double normal) { |
---|
70 | return q->vtable->get_conserved(q, k, normal); |
---|
71 | } |
---|
72 | |
---|
73 | struct quantity* quantity_destroy(struct quantity *q) { |
---|
74 | return q->vtable->destroy(q); |
---|
75 | } |
---|
76 | /**********************************************************/ |
---|
77 | |
---|
78 | |
---|
79 | /********************************************************** |
---|
80 | Generic edge class |
---|
81 | **********************************************************/ |
---|
82 | struct edge; |
---|
83 | |
---|
84 | // vtable |
---|
85 | struct edge_vtable{ |
---|
86 | double* (*flux_function) (struct edge *e, struct params *p, double *edgeflux, int num_eqns); |
---|
87 | double (*extreme_sound_speeds) (struct edge *e, struct params *p); |
---|
88 | struct edge* (*destroy) (struct edge *e); |
---|
89 | }; |
---|
90 | |
---|
91 | // structure |
---|
92 | struct edge { |
---|
93 | struct edge_vtable *vtable; |
---|
94 | struct quantity *qin, *qout; |
---|
95 | double normal; |
---|
96 | double smin, smax; |
---|
97 | }; |
---|
98 | |
---|
99 | // Public API |
---|
100 | // Destruction |
---|
101 | struct edge* edge_destroy(struct edge *e); |
---|
102 | |
---|
103 | // method declarations |
---|
104 | double* edge_flux_function (struct edge *e, struct params *p, double *edgeflux, int num_eqns); |
---|
105 | double edge_extreme_sound_speeds (struct edge *e, struct params *p); |
---|
106 | |
---|
107 | // method implementations |
---|
108 | double* edge_flux_function (struct edge *e, struct params *p, double *edgeflux, int num_eqns) { |
---|
109 | return e->vtable->flux_function(e, p, edgeflux, num_eqns); |
---|
110 | } |
---|
111 | |
---|
112 | double edge_extreme_sound_speeds (struct edge *e, struct params *p) { |
---|
113 | return e->vtable->extreme_sound_speeds(e, p); |
---|
114 | } |
---|
115 | |
---|
116 | struct edge* edge_destroy(struct edge *e) { |
---|
117 | return e->vtable->destroy(e); |
---|
118 | } |
---|
119 | /**********************************************************/ |
---|
120 | |
---|
121 | |
---|
122 | /********************************************************** |
---|
123 | Generic cell class |
---|
124 | **********************************************************/ |
---|
125 | struct cell; |
---|
126 | |
---|
127 | // vtable |
---|
128 | struct cell_vtable{ |
---|
129 | double* (*flux_function) (struct cell *c, struct params *p, double *cellflux, int num_eqns); |
---|
130 | double (*extreme_sound_speeds) (struct cell *c, struct params *p); |
---|
131 | double* (*forcing_terms) (struct cell *c, struct params *p, double *cellforce); |
---|
132 | struct cell* (*destroy) (struct cell *c); |
---|
133 | }; |
---|
134 | |
---|
135 | // structure |
---|
136 | struct cell { |
---|
137 | struct cell_vtable *vtable; |
---|
138 | struct edge **edges; |
---|
139 | int num_edges; |
---|
140 | }; |
---|
141 | |
---|
142 | // Public API |
---|
143 | |
---|
144 | // Destruction |
---|
145 | struct cell* cell_destroy(struct cell *c); |
---|
146 | |
---|
147 | // method declarations |
---|
148 | double* cell_flux_function (struct cell *c, struct params *p, double *cellflux, int num_eqns); |
---|
149 | double cell_extreme_sound_speeds (struct cell *c, struct params *p); |
---|
150 | double* cell_forcing_terms (struct cell *c, struct params *p, double *cellforce); |
---|
151 | |
---|
152 | // method implementations |
---|
153 | double* cell_flux_function (struct cell *c, struct params *p, double *cellflux, int num_eqns) { |
---|
154 | return c->vtable->flux_function(c, p, cellflux, num_eqns); |
---|
155 | } |
---|
156 | |
---|
157 | double cell_extreme_sound_speeds (struct cell *c, struct params *p) { |
---|
158 | return c->vtable->extreme_sound_speeds(c, p); |
---|
159 | } |
---|
160 | |
---|
161 | double* cell_forcing_terms (struct cell *c, struct params *p, double *cellforce) { |
---|
162 | return c->vtable->forcing_terms(c, p, cellforce); |
---|
163 | } |
---|
164 | |
---|
165 | struct cell* cell_destroy(struct cell *c) { |
---|
166 | return c->vtable->destroy(c); |
---|
167 | } |
---|
168 | /**********************************************************/ |
---|
169 | |
---|
170 | |
---|
171 | /********************************************************** |
---|
172 | Generic quantities class |
---|
173 | **********************************************************/ |
---|
174 | struct quantities; |
---|
175 | |
---|
176 | // vtable |
---|
177 | struct quantities_vtable{ |
---|
178 | struct quantity* (*get_quantity) (struct quantities *qs, int i, struct quantity* q); |
---|
179 | void (*update) (struct quantities *qs, double *flux, int k); |
---|
180 | struct quantities* (*destroy) (struct quantities *qs); |
---|
181 | }; |
---|
182 | |
---|
183 | // structure |
---|
184 | struct quantities { |
---|
185 | struct quantities_vtable *vtable; |
---|
186 | }; |
---|
187 | |
---|
188 | // Public API |
---|
189 | |
---|
190 | // Destruction |
---|
191 | struct quantities* quantities_destroy(struct quantities *qs); |
---|
192 | |
---|
193 | // method declarations |
---|
194 | struct quantity* quantities_get_quantity(struct quantities *qs, int i, struct quantity *q); |
---|
195 | void quantities_update (struct quantities *qs, double *flux, int k); |
---|
196 | |
---|
197 | // method implementations |
---|
198 | struct quantity* quantities_get_quantity(struct quantities *qs, int i, struct quantity *q) { |
---|
199 | return qs->vtable->get_quantity(qs, i, q); |
---|
200 | } |
---|
201 | |
---|
202 | void quantities_update (struct quantities *qs, double *flux, int k) { |
---|
203 | return qs->vtable->update(qs, flux, k); |
---|
204 | } |
---|
205 | |
---|
206 | struct quantities* quantities_destroy(struct quantities *qs) { |
---|
207 | return qs->vtable->destroy(qs); |
---|
208 | } |
---|
209 | /**********************************************************/ |
---|
210 | |
---|
211 | /********************************************************** |
---|
212 | Generic domain class |
---|
213 | **********************************************************/ |
---|
214 | struct domain; |
---|
215 | |
---|
216 | // vtable |
---|
217 | struct domain_vtable { |
---|
218 | struct edge* (*new_edge) (struct domain *D); |
---|
219 | struct cell* (*new_cell) (struct domain *D); |
---|
220 | double (*compute_fluxes) (struct domain *D); |
---|
221 | struct cell* (*get_cell) (struct domain *d, int i, struct cell *c); |
---|
222 | struct domain* (*destroy) (struct domain *D); |
---|
223 | }; |
---|
224 | |
---|
225 | // structure |
---|
226 | struct domain { |
---|
227 | struct domain_vtable *vtable; |
---|
228 | |
---|
229 | struct quantities *vertex_values; |
---|
230 | struct quantities *boundary_values; |
---|
231 | struct quantities *explicit_update; |
---|
232 | long* neighbours; |
---|
233 | long* neighbour_vertices; |
---|
234 | double* normals; |
---|
235 | double* areas; |
---|
236 | int number_of_elements; |
---|
237 | int number_of_equations; |
---|
238 | double *max_speed_array; |
---|
239 | double timestep; |
---|
240 | struct params *params; |
---|
241 | }; |
---|
242 | |
---|
243 | // Public API |
---|
244 | // Destruction |
---|
245 | struct domain* domain_destroy(struct domain* D); |
---|
246 | |
---|
247 | // method declarations |
---|
248 | struct edge* domain_new_edge(struct domain *qs); |
---|
249 | struct cell* domain_new_cell(struct domain *qs); |
---|
250 | double domain_compute_fluxes (struct domain *D); |
---|
251 | struct cell* domain_get_cell(struct domain *d, int i, struct cell *c); |
---|
252 | |
---|
253 | // method implementations |
---|
254 | struct edge* domain_new_edge(struct domain *qs) { |
---|
255 | return qs->vtable->new_edge(qs); |
---|
256 | } |
---|
257 | |
---|
258 | struct cell* domain_new_cell(struct domain *qs) { |
---|
259 | return qs->vtable->new_cell(qs); |
---|
260 | } |
---|
261 | |
---|
262 | double domain_compute_fluxes (struct domain *D) { |
---|
263 | return D->vtable->compute_fluxes(D); |
---|
264 | } |
---|
265 | |
---|
266 | struct cell* domain_get_cell(struct domain *D, int i, struct cell *c) { |
---|
267 | return D->vtable->get_cell(D, i, c); |
---|
268 | } |
---|
269 | |
---|
270 | struct domain* domain_destroy(struct domain* D) { |
---|
271 | return D->vtable->destroy(D); |
---|
272 | } |
---|
273 | /**********************************************************/ |
---|
274 | |
---|
275 | |
---|
276 | /********************************************************** |
---|
277 | Generic methods |
---|
278 | **********************************************************/ |
---|
279 | // Declarations |
---|
280 | double domain_compute_fluxes_cells_generic(struct domain *D); |
---|
281 | double domain_compute_fluxes_edges_generic(struct domain *D); |
---|
282 | struct cell* sqpipe_domain_get_cell(struct domain *D, int i, struct cell *c); |
---|
283 | double* edge_flux_function_godunov (struct edge *c, struct params *p, double *edgeflux, int num_eqns); |
---|
284 | double* cell_flux_function_generic (struct cell *c, struct params *p, double *cellflux, int num_eqns); |
---|
285 | |
---|
286 | // Implementations |
---|
287 | |
---|
288 | // Computational function for flux computation |
---|
289 | // This iterates over cells. |
---|
290 | double domain_compute_fluxes_cells_generic (struct domain *D) { |
---|
291 | double flux[D->number_of_equations]; |
---|
292 | double max_speed; |
---|
293 | int k, i; |
---|
294 | struct cell *c; |
---|
295 | |
---|
296 | // pre-create a cell object to use in the loop |
---|
297 | // so we need only allocate memory once |
---|
298 | c = domain_new_cell(D); |
---|
299 | |
---|
300 | for (k=0; k<D->number_of_elements; k++) { |
---|
301 | c = domain_get_cell(D, k, c); |
---|
302 | |
---|
303 | // Compute sound speeds (this updates c) and update timestep |
---|
304 | max_speed = cell_extreme_sound_speeds(c, D->params); |
---|
305 | if (max_speed > D->params->epsilon) { |
---|
306 | D->timestep = min(D->timestep, 0.5*D->params->cfl * D->areas[k]/max_speed); |
---|
307 | } |
---|
308 | |
---|
309 | // Compute flux |
---|
310 | cell_flux_function(c, D->params, flux, D->number_of_equations); |
---|
311 | for (i=0; i<D->number_of_equations; i++) { |
---|
312 | flux[i] /= D->areas[k]; |
---|
313 | } |
---|
314 | quantities_update(D->explicit_update, flux, k); |
---|
315 | |
---|
316 | //Keep track of maximal speeds |
---|
317 | D->max_speed_array[k]=max_speed; |
---|
318 | } |
---|
319 | |
---|
320 | cell_destroy(c); |
---|
321 | |
---|
322 | return D->timestep; |
---|
323 | } |
---|
324 | |
---|
325 | // Computational function for flux computation |
---|
326 | // This iterates over edges. |
---|
327 | double domain_compute_fluxes_edges_generic (struct domain *D) { |
---|
328 | double flux[D->number_of_equations]; |
---|
329 | double max_speed; |
---|
330 | int k, i; |
---|
331 | // pre-create a cell object to use in the loop |
---|
332 | // so we need only allocate memory once |
---|
333 | struct cell *c = domain_new_cell(D); |
---|
334 | |
---|
335 | for (k=0; k<D->number_of_elements; k++) { |
---|
336 | c = domain_get_cell(D, k, c); |
---|
337 | |
---|
338 | // Compute sound speeds (this updates c) and update timestep |
---|
339 | max_speed = cell_extreme_sound_speeds(c, D->params); |
---|
340 | if (max_speed > D->params->epsilon) { |
---|
341 | D->timestep = min(D->timestep, 0.5*D->params->cfl * D->areas[k]/max_speed); |
---|
342 | } |
---|
343 | |
---|
344 | // Compute flux and store in explicit_update |
---|
345 | cell_flux_function(c, D->params, flux, D->number_of_equations); |
---|
346 | for (i=0; i<D->number_of_equations; i++) { |
---|
347 | flux[i] /= D->areas[k]; |
---|
348 | } |
---|
349 | quantities_update(D->explicit_update, flux, k); |
---|
350 | |
---|
351 | //Keep track of maximal speeds |
---|
352 | D->max_speed_array[k]=max_speed; |
---|
353 | } |
---|
354 | |
---|
355 | cell_destroy(c); |
---|
356 | |
---|
357 | return D->timestep; |
---|
358 | } |
---|
359 | |
---|
360 | |
---|
361 | struct cell* domain_get_cell_generic(struct domain *D, int k, struct cell *c) { |
---|
362 | int i, ki, n, m, nm; |
---|
363 | |
---|
364 | for (i=0; i<c->num_edges; i++) { |
---|
365 | ki = k*(c->num_edges) + i; |
---|
366 | c->edges[i]->normal = D->normals[ki]; |
---|
367 | n = D->neighbours[ki]; |
---|
368 | |
---|
369 | c->edges[i]->qin = quantities_get_quantity(D->vertex_values, ki, c->edges[i]->qin); |
---|
370 | |
---|
371 | if (n<0) { |
---|
372 | m = -n-1; |
---|
373 | c->edges[i]->qout = quantities_get_quantity(D->boundary_values, m, c->edges[i]->qout); |
---|
374 | } else { |
---|
375 | m = D->neighbour_vertices[ki]; |
---|
376 | nm = n*2+m; |
---|
377 | c->edges[i]->qout = quantities_get_quantity(D->vertex_values, nm, c->edges[i]->qout); |
---|
378 | } |
---|
379 | } |
---|
380 | |
---|
381 | return c; |
---|
382 | } |
---|
383 | |
---|
384 | |
---|
385 | // Generic Godunov flux computation method |
---|
386 | double* edge_flux_function_godunov (struct edge *e, struct params *p, double *edgeflux, int num_eqns) { |
---|
387 | int i; |
---|
388 | double flux_in[num_eqns], flux_out[num_eqns]; |
---|
389 | double denom; |
---|
390 | |
---|
391 | // Flux contribution from inside of edge |
---|
392 | quantity_flux_formula(e->qin, e->normal, p, flux_in); |
---|
393 | |
---|
394 | // Flux contribution from outside of edge |
---|
395 | quantity_flux_formula(e->qout, e->normal, p, flux_out); |
---|
396 | |
---|
397 | // Flux computation |
---|
398 | denom = e->smax - e->smin; |
---|
399 | if (denom < p->epsilon) { |
---|
400 | for (i=0; i<num_eqns; i++) edgeflux[i] = 0.0; |
---|
401 | } else { |
---|
402 | for (i=0; i<num_eqns; i++) { |
---|
403 | edgeflux[i] = e->smax*flux_in[i] - e->smin*flux_out[i]; |
---|
404 | edgeflux[i] += e->smax*e->smin * (quantity_get_conserved(e->qout, i, e->normal) - quantity_get_conserved(e->qin, i, e->normal)); |
---|
405 | edgeflux[i] /= denom; |
---|
406 | } |
---|
407 | } |
---|
408 | |
---|
409 | return edgeflux; |
---|
410 | } |
---|
411 | |
---|
412 | double* cell_flux_function_generic (struct cell *c, struct params *p, double *cellflux, int num_eqns) { |
---|
413 | int i, j; |
---|
414 | double cellforce[num_eqns]; |
---|
415 | double flux[num_eqns]; |
---|
416 | |
---|
417 | // Compute forcing terms first |
---|
418 | cell_forcing_terms(c, p, cellforce); |
---|
419 | for (i=0; i<num_eqns; i++) { |
---|
420 | cellflux[i] = -cellforce[i]; |
---|
421 | } |
---|
422 | |
---|
423 | // Compute flux through each edge and append to flux |
---|
424 | for (j=0; j<c->num_edges; j++) { |
---|
425 | edge_flux_function(c->edges[j], p, flux, num_eqns); |
---|
426 | for (i=0; i<num_eqns; i++) { |
---|
427 | cellflux[i] -= flux[i]; |
---|
428 | } |
---|
429 | } |
---|
430 | |
---|
431 | return cellflux; |
---|
432 | } |
---|
433 | /**********************************************************/ |
---|