1 |
jgs |
150 |
/* |
2 |
|
|
****************************************************************************** |
3 |
|
|
* * |
4 |
|
|
* COPYRIGHT ACcESS 2003,2004,2005 - All Rights Reserved * |
5 |
|
|
* * |
6 |
|
|
* This software is the property of ACcESS. No part of this code * |
7 |
|
|
* may be copied in any form or by any means without the expressed written * |
8 |
|
|
* consent of ACcESS. Copying, use or modification of this software * |
9 |
|
|
* by any unauthorised person is illegal unless that person has a software * |
10 |
|
|
* license agreement with ACcESS. * |
11 |
|
|
* * |
12 |
|
|
****************************************************************************** |
13 |
|
|
*/ |
14 |
|
|
|
15 |
jgs |
82 |
/**************************************************************/ |
16 |
|
|
|
17 |
|
|
/* Finley: generates rectangular meshes */ |
18 |
|
|
|
19 |
|
|
/* Generates a numElements[0] x numElements[1] mesh with second order elements (Rec8) in the rectangle */ |
20 |
|
|
/* [0,Length[0]] x [0,Length[1]]. order is the desired accuracy of the integration scheme. */ |
21 |
|
|
|
22 |
|
|
/**************************************************************/ |
23 |
|
|
|
24 |
|
|
/* Author: gross@access.edu.au */ |
25 |
|
|
/* Version: $Id$ */ |
26 |
|
|
|
27 |
|
|
/**************************************************************/ |
28 |
|
|
|
29 |
|
|
#include "RectangularMesh.h" |
30 |
|
|
|
31 |
|
|
/**************************************************************/ |
32 |
|
|
|
33 |
|
|
Finley_Mesh* Finley_RectangularMesh_Rec8(int* numElements,double* Length,int* periodic,int order,int useElementsOnFace) { |
34 |
jgs |
153 |
dim_t N0,N1,NE0,NE1,i0,i1,totalNECount,faceNECount,NDOF0,NDOF1,NFaceElements,NUMNODES,M0,M1; |
35 |
jgs |
123 |
index_t k,node0; |
36 |
jgs |
82 |
Finley_Mesh* out; |
37 |
|
|
char name[50]; |
38 |
|
|
double time0=Finley_timer(); |
39 |
|
|
NE0=MAX(1,numElements[0]); |
40 |
|
|
NE1=MAX(1,numElements[1]); |
41 |
|
|
N0=2*NE0+1; |
42 |
|
|
N1=2*NE1+1; |
43 |
|
|
|
44 |
jgs |
153 |
if (N0<=N1) { |
45 |
|
|
M0=1; |
46 |
|
|
M1=N0; |
47 |
|
|
} else { |
48 |
|
|
M0=N1; |
49 |
|
|
M1=1; |
50 |
|
|
} |
51 |
|
|
|
52 |
jgs |
82 |
NFaceElements=0; |
53 |
|
|
if (!periodic[0]) { |
54 |
|
|
NDOF0=N0; |
55 |
|
|
NFaceElements+=2*NE1; |
56 |
|
|
} else { |
57 |
|
|
NDOF0=N0-1; |
58 |
|
|
} |
59 |
|
|
if (!periodic[1]) { |
60 |
|
|
NDOF1=N1; |
61 |
|
|
NFaceElements+=2*NE0; |
62 |
|
|
} else { |
63 |
|
|
NDOF1=N1-1; |
64 |
|
|
} |
65 |
|
|
|
66 |
|
|
/* allocate mesh: */ |
67 |
|
|
|
68 |
|
|
sprintf(name,"Rectangular %d x %d mesh",N0,N1); |
69 |
|
|
out=Finley_Mesh_alloc(name,2,order); |
70 |
jgs |
150 |
if (! Finley_noError()) return NULL; |
71 |
jgs |
82 |
|
72 |
|
|
out->Elements=Finley_ElementFile_alloc(Rec8,out->order); |
73 |
|
|
if (useElementsOnFace) { |
74 |
|
|
out->FaceElements=Finley_ElementFile_alloc(Rec8Face,out->order); |
75 |
|
|
out->ContactElements=Finley_ElementFile_alloc(Rec8Face_Contact,out->order); |
76 |
|
|
} else { |
77 |
|
|
out->FaceElements=Finley_ElementFile_alloc(Line3,out->order); |
78 |
|
|
out->ContactElements=Finley_ElementFile_alloc(Line3_Contact,out->order); |
79 |
|
|
} |
80 |
|
|
out->Points=Finley_ElementFile_alloc(Point1,out->order); |
81 |
jgs |
150 |
if (! Finley_noError()) { |
82 |
jgs |
82 |
Finley_Mesh_dealloc(out); |
83 |
|
|
return NULL; |
84 |
|
|
} |
85 |
|
|
|
86 |
|
|
/* allocate tables: */ |
87 |
|
|
|
88 |
|
|
Finley_NodeFile_allocTable(out->Nodes,N0*N1); |
89 |
|
|
Finley_ElementFile_allocTable(out->Elements,NE0*NE1); |
90 |
|
|
Finley_ElementFile_allocTable(out->FaceElements,NFaceElements); |
91 |
jgs |
150 |
if (! Finley_noError()) { |
92 |
jgs |
82 |
Finley_Mesh_dealloc(out); |
93 |
|
|
return NULL; |
94 |
|
|
} |
95 |
|
|
/* set nodes: */ |
96 |
jgs |
153 |
|
97 |
|
|
#pragma omp parallel for private(i0,i1,k) |
98 |
jgs |
82 |
for (i1=0;i1<N1;i1++) { |
99 |
|
|
for (i0=0;i0<N0;i0++) { |
100 |
jgs |
153 |
k=M0*i0+M1*i1; |
101 |
jgs |
82 |
out->Nodes->Coordinates[INDEX2(0,k,2)]=DBLE(i0)/DBLE(N0-1)*Length[0]; |
102 |
|
|
out->Nodes->Coordinates[INDEX2(1,k,2)]=DBLE(i1)/DBLE(N1-1)*Length[1]; |
103 |
jgs |
153 |
out->Nodes->Id[k]=i0+N0*i1; |
104 |
jgs |
82 |
out->Nodes->Tag[k]=0; |
105 |
jgs |
153 |
out->Nodes->degreeOfFreedom[k]=M0*(i0%NDOF0) +M1*(i1%NDOF1); |
106 |
jgs |
82 |
} |
107 |
|
|
} |
108 |
|
|
/* tags for the faces: */ |
109 |
|
|
if (!periodic[1]) { |
110 |
|
|
for (i0=0;i0<N0;i0++) { |
111 |
jgs |
153 |
out->Nodes->Tag[M0*i0+M1*0]+=10; |
112 |
|
|
out->Nodes->Tag[M0*i0+M1*(N1-1)]+=20; |
113 |
jgs |
82 |
} |
114 |
|
|
} |
115 |
|
|
if (!periodic[0]) { |
116 |
|
|
for (i1=0;i1<N1;i1++) { |
117 |
jgs |
153 |
out->Nodes->Tag[M0*0+M1*i1]+=1; |
118 |
|
|
out->Nodes->Tag[M0*(N0-1)+M1*i1]+=2; |
119 |
jgs |
82 |
} |
120 |
|
|
} |
121 |
jgs |
153 |
|
122 |
jgs |
82 |
/* set the elements: */ |
123 |
|
|
|
124 |
|
|
#pragma omp parallel for private(i0,i1,k,node0) |
125 |
|
|
for (i1=0;i1<NE1;i1++) { |
126 |
|
|
for (i0=0;i0<NE0;i0++) { |
127 |
|
|
k=i0+NE0*i1; |
128 |
|
|
node0=2*i0+2*i1*N0; |
129 |
|
|
|
130 |
|
|
out->Elements->Id[k]=k; |
131 |
|
|
out->Elements->Tag[k]=0; |
132 |
|
|
out->Elements->Color[k]=COLOR_MOD(i0)+3*COLOR_MOD(i1); |
133 |
|
|
|
134 |
|
|
out->Elements->Nodes[INDEX2(0,k,8)]=node0; |
135 |
|
|
out->Elements->Nodes[INDEX2(1,k,8)]=node0+2; |
136 |
|
|
out->Elements->Nodes[INDEX2(2,k,8)]=node0+2*N0+2; |
137 |
|
|
out->Elements->Nodes[INDEX2(3,k,8)]=node0+2*N0; |
138 |
|
|
out->Elements->Nodes[INDEX2(4,k,8)]=node0+1; |
139 |
|
|
out->Elements->Nodes[INDEX2(5,k,8)]=node0+N0+2; |
140 |
|
|
out->Elements->Nodes[INDEX2(6,k,8)]=node0+2*N0+1; |
141 |
|
|
out->Elements->Nodes[INDEX2(7,k,8)]=node0+N0; |
142 |
|
|
|
143 |
|
|
} |
144 |
|
|
} |
145 |
jgs |
123 |
out->Elements->minColor=0; |
146 |
|
|
out->Elements->maxColor=COLOR_MOD(0)+3*COLOR_MOD(0); |
147 |
jgs |
82 |
|
148 |
|
|
/* face elements: */ |
149 |
|
|
if (useElementsOnFace) { |
150 |
|
|
NUMNODES=8; |
151 |
|
|
} else { |
152 |
|
|
NUMNODES=3; |
153 |
|
|
} |
154 |
|
|
|
155 |
|
|
|
156 |
|
|
totalNECount=NE0*NE1; |
157 |
|
|
faceNECount=0; |
158 |
|
|
|
159 |
|
|
if (!periodic[1]) { |
160 |
|
|
/* ** elements on boundary 010 (x2=0): */ |
161 |
|
|
|
162 |
|
|
#pragma omp parallel for private(i0,k,node0) |
163 |
|
|
for (i0=0;i0<NE0;i0++) { |
164 |
|
|
k=i0+faceNECount; |
165 |
|
|
node0=2*i0; |
166 |
|
|
|
167 |
|
|
out->FaceElements->Id[k]=i0+totalNECount; |
168 |
|
|
out->FaceElements->Tag[k]=10; |
169 |
|
|
out->FaceElements->Color[k]=i0%2; |
170 |
|
|
|
171 |
|
|
if (useElementsOnFace) { |
172 |
|
|
out->FaceElements->Nodes[INDEX2(0,k,NUMNODES)]=node0; |
173 |
|
|
out->FaceElements->Nodes[INDEX2(1,k,NUMNODES)]=node0+2; |
174 |
|
|
out->FaceElements->Nodes[INDEX2(2,k,NUMNODES)]=node0+2*N0+2; |
175 |
|
|
out->FaceElements->Nodes[INDEX2(3,k,NUMNODES)]=node0+2*N0; |
176 |
|
|
out->FaceElements->Nodes[INDEX2(4,k,NUMNODES)]=node0+1; |
177 |
|
|
out->FaceElements->Nodes[INDEX2(5,k,NUMNODES)]=node0+N0+2; |
178 |
|
|
out->FaceElements->Nodes[INDEX2(6,k,NUMNODES)]=node0+2*N0+1; |
179 |
|
|
out->FaceElements->Nodes[INDEX2(7,k,NUMNODES)]=node0+N0; |
180 |
|
|
} else { |
181 |
|
|
out->FaceElements->Nodes[INDEX2(0,k,NUMNODES)]=node0; |
182 |
|
|
out->FaceElements->Nodes[INDEX2(1,k,NUMNODES)]=node0+2; |
183 |
|
|
out->FaceElements->Nodes[INDEX2(2,k,NUMNODES)]=node0+1; |
184 |
|
|
} |
185 |
|
|
} |
186 |
|
|
totalNECount+=NE0; |
187 |
|
|
faceNECount+=NE0; |
188 |
|
|
|
189 |
|
|
/* ** elements on boundary 020 (x2=1): */ |
190 |
|
|
|
191 |
|
|
#pragma omp parallel for private(i0,k,node0) |
192 |
|
|
for (i0=0;i0<NE0;i0++) { |
193 |
|
|
k=i0+faceNECount; |
194 |
|
|
node0=2*i0+2*(NE1-1)*N0; |
195 |
|
|
|
196 |
|
|
out->FaceElements->Id[k]=i0+totalNECount; |
197 |
|
|
out->FaceElements->Tag[k]=20; |
198 |
|
|
out->FaceElements->Color[k]=i0%2+2; |
199 |
|
|
if (useElementsOnFace) { |
200 |
|
|
out->FaceElements->Nodes[INDEX2(0,k,NUMNODES)]=node0+2*N0+2; |
201 |
|
|
out->FaceElements->Nodes[INDEX2(1,k,NUMNODES)]=node0+2*N0; |
202 |
|
|
out->FaceElements->Nodes[INDEX2(2,k,NUMNODES)]=node0; |
203 |
|
|
out->FaceElements->Nodes[INDEX2(3,k,NUMNODES)]=node0+2; |
204 |
|
|
out->FaceElements->Nodes[INDEX2(4,k,NUMNODES)]=node0+2*N0+1; |
205 |
|
|
out->FaceElements->Nodes[INDEX2(5,k,NUMNODES)]=node0+N0; |
206 |
|
|
out->FaceElements->Nodes[INDEX2(6,k,NUMNODES)]=node0+1; |
207 |
|
|
out->FaceElements->Nodes[INDEX2(7,k,NUMNODES)]=node0+N0+2; |
208 |
|
|
} else { |
209 |
|
|
out->FaceElements->Nodes[INDEX2(0,k,NUMNODES)]=node0+2*N0+2; |
210 |
|
|
out->FaceElements->Nodes[INDEX2(1,k,NUMNODES)]=node0+2*N0; |
211 |
|
|
out->FaceElements->Nodes[INDEX2(2,k,NUMNODES)]=node0+2*N0+1; |
212 |
|
|
} |
213 |
|
|
} |
214 |
|
|
totalNECount+=NE0; |
215 |
|
|
faceNECount+=NE0; |
216 |
|
|
} |
217 |
|
|
if (!periodic[0]) { |
218 |
|
|
/* ** elements on boundary 001 (x1=0): */ |
219 |
|
|
|
220 |
|
|
#pragma omp parallel for private(i1,k,node0) |
221 |
|
|
for (i1=0;i1<NE1;i1++) { |
222 |
|
|
k=i1+faceNECount; |
223 |
|
|
node0=2*i1*N0; |
224 |
|
|
|
225 |
|
|
out->FaceElements->Id[k]=i1+totalNECount; |
226 |
|
|
out->FaceElements->Tag[k]=1; |
227 |
|
|
out->FaceElements->Color[k]=(i1%2)+4; |
228 |
|
|
|
229 |
|
|
if (useElementsOnFace) { |
230 |
|
|
out->FaceElements->Nodes[INDEX2(0,k,NUMNODES)]=node0+2*N0; |
231 |
|
|
out->FaceElements->Nodes[INDEX2(1,k,NUMNODES)]=node0; |
232 |
|
|
out->FaceElements->Nodes[INDEX2(2,k,NUMNODES)]=node0+2; |
233 |
|
|
out->FaceElements->Nodes[INDEX2(3,k,NUMNODES)]=node0+2*N0+2; |
234 |
|
|
out->FaceElements->Nodes[INDEX2(4,k,NUMNODES)]=node0+N0; |
235 |
|
|
out->FaceElements->Nodes[INDEX2(5,k,NUMNODES)]=node0+1; |
236 |
|
|
out->FaceElements->Nodes[INDEX2(6,k,NUMNODES)]=node0+N0+2; |
237 |
|
|
out->FaceElements->Nodes[INDEX2(7,k,NUMNODES)]=node0+2*N0+1; |
238 |
|
|
} else { |
239 |
|
|
out->FaceElements->Nodes[INDEX2(0,k,NUMNODES)]=node0+2*N0; |
240 |
|
|
out->FaceElements->Nodes[INDEX2(1,k,NUMNODES)]=node0; |
241 |
|
|
out->FaceElements->Nodes[INDEX2(2,k,NUMNODES)]=node0+N0; |
242 |
|
|
} |
243 |
|
|
|
244 |
|
|
} |
245 |
|
|
totalNECount+=NE1; |
246 |
|
|
faceNECount+=NE1; |
247 |
|
|
|
248 |
|
|
/* ** elements on boundary 002 (x1=1): */ |
249 |
|
|
|
250 |
|
|
#pragma omp parallel for private(i1,k,node0) |
251 |
|
|
for (i1=0;i1<NE1;i1++) { |
252 |
|
|
k=i1+faceNECount; |
253 |
|
|
node0=2*(NE0-1)+2*i1*N0; |
254 |
|
|
|
255 |
|
|
out->FaceElements->Id[k]=i1+totalNECount; |
256 |
|
|
out->FaceElements->Tag[k]=2; |
257 |
|
|
out->FaceElements->Color[k]=(i1%2)+6; |
258 |
|
|
|
259 |
|
|
if (useElementsOnFace) { |
260 |
|
|
out->FaceElements->Nodes[INDEX2(0,k,NUMNODES)]=node0+2; |
261 |
|
|
out->FaceElements->Nodes[INDEX2(1,k,NUMNODES)]=node0+2*N0+2; |
262 |
|
|
out->FaceElements->Nodes[INDEX2(2,k,NUMNODES)]=node0+2*N0; |
263 |
|
|
out->FaceElements->Nodes[INDEX2(3,k,NUMNODES)]=node0; |
264 |
|
|
out->FaceElements->Nodes[INDEX2(4,k,NUMNODES)]=node0+N0+2; |
265 |
|
|
out->FaceElements->Nodes[INDEX2(5,k,NUMNODES)]=node0+2*N0+1; |
266 |
|
|
out->FaceElements->Nodes[INDEX2(6,k,NUMNODES)]=node0+N0; |
267 |
|
|
out->FaceElements->Nodes[INDEX2(7,k,NUMNODES)]=node0+1; |
268 |
|
|
} else { |
269 |
|
|
out->FaceElements->Nodes[INDEX2(0,k,NUMNODES)]=node0+2; |
270 |
|
|
out->FaceElements->Nodes[INDEX2(1,k,NUMNODES)]=node0+2*N0+2; |
271 |
|
|
out->FaceElements->Nodes[INDEX2(2,k,NUMNODES)]=node0+N0+2; |
272 |
|
|
} |
273 |
|
|
} |
274 |
|
|
totalNECount+=NE1; |
275 |
|
|
faceNECount+=NE1; |
276 |
|
|
|
277 |
|
|
} |
278 |
jgs |
123 |
out->FaceElements->minColor=0; |
279 |
|
|
out->FaceElements->maxColor=7; |
280 |
jgs |
82 |
|
281 |
|
|
/* face elements done: */ |
282 |
|
|
|
283 |
|
|
/* condense the nodes: */ |
284 |
|
|
|
285 |
|
|
Finley_Mesh_resolveNodeIds(out); |
286 |
|
|
|
287 |
|
|
/* prepare mesh for further calculatuions:*/ |
288 |
|
|
|
289 |
|
|
Finley_Mesh_prepare(out) ; |
290 |
|
|
|
291 |
jgs |
149 |
#ifdef Finley_TRACE |
292 |
jgs |
82 |
printf("timing: mesh generation: %.4e sec\n",Finley_timer()-time0); |
293 |
jgs |
149 |
#endif |
294 |
jgs |
82 |
|
295 |
jgs |
150 |
if (! Finley_noError()) { |
296 |
jgs |
82 |
Finley_Mesh_dealloc(out); |
297 |
|
|
return NULL; |
298 |
|
|
} |
299 |
|
|
return out; |
300 |
|
|
} |