update_p_PML.c 8.55 KB
Newer Older
Tilman Steinweg's avatar
Tilman Steinweg committed
1
/*-----------------------------------------------------------------------------------------
Florian Wittkamp's avatar
Florian Wittkamp committed
2
 * Copyright (C) 2016  For the list of authors, see file AUTHORS.
Tilman Steinweg's avatar
Tilman Steinweg committed
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
 *
 * This file is part of DENISE.
 * 
 * DENISE is free software: you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation, version 2.0 of the License only.
 * 
 * DENISE is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 * 
 * You should have received a copy of the GNU General Public License
 * along with DENISE. See file COPYING and/or <http://www.gnu.org/licenses/gpl-2.0.html>.
-----------------------------------------------------------------------------------------*/
/*------------------------------------------------------------------------
 *   updating stress components at gridpoints [nx1...nx2][ny1...ny2]
 *   by a staggered grid finite difference scheme of arbitrary (FDORDER) order accuracy in space
 *   and second order accuracy in time
 *   T. Bohlen
 *
 *  ----------------------------------------------------------------------*/

#include "fd.h"

28
29
30
31
32
void update_p_PML(int nx1, int nx2, int ny1, int ny2, 	float **  vx, float ** vy, float ** sp, float ** pi, float ** absorb_coeff, float **rho, float *hc, int infoout,
		  float * K_x, float * a_x, float * b_x, float * K_x_half, float * a_x_half, float * b_x_half,
		  float * K_y, float * a_y, float * b_y, float * K_y_half, float * a_y_half, float * b_y_half, 
		  float ** psi_vxx, float ** psi_vyy, float ** psi_vxy, float ** psi_vyx){
	
Tilman Steinweg's avatar
Tilman Steinweg committed
33
34
	int i,j, m, fdoh, h, h1;
	float g;
35
36
	float  vxx, vyy;
	float  dhi;
Tilman Steinweg's avatar
Tilman Steinweg committed
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
	extern float DT, DH;
	extern int MYID, FDORDER, INVMAT1, FW;
        extern int FREE_SURF, BOUNDARY;
	extern int NPROCX, NPROCY, POS[3];
	extern FILE *FP;
	double time1, time2;
	
	
	dhi = DT/DH;
	fdoh = FDORDER/2;
	
	if (infoout && (MYID==0)){
		time1=MPI_Wtime();
		fprintf(FP,"\n **Message from update_p (printed by PE %d):\n",MYID);
		fprintf(FP," Updating stress components ...");
	}
	
	switch (FDORDER){
55
	
Tilman Steinweg's avatar
Tilman Steinweg committed
56
57
	case 2:
		for (j=ny1;j<=ny2;j++){
58
		for (i=nx1;i<=nx2;i++){
Tilman Steinweg's avatar
Tilman Steinweg committed
59
			vxx = (  hc[1]*(vx[j][i]  -vx[j][i-1]))*dhi;
60
61
62
63
64
65
66
67
68
69
70
			vyy = (  hc[1]*(vy[j][i]  -vy[j-1][i]))*dhi; 
			
			/* left boundary */                                         
			if((!BOUNDARY) && (POS[1]==0) && (i<=FW)){
				
				psi_vxx[j][i] = b_x[i] * psi_vxx[j][i] + a_x[i] * vxx;
				vxx = vxx / K_x[i] + psi_vxx[j][i];
			}
			
			/* right boundary */                                         
			if((!BOUNDARY) && (POS[1]==NPROCX-1) && (i>=nx2-FW+1)){
Tilman Steinweg's avatar
Tilman Steinweg committed
71
				
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
				h1 = (i-nx2+2*FW);
				h = i;
				
				psi_vxx[j][h1] = b_x[h1] * psi_vxx[j][h1] + a_x[h1] * vxx;
				vxx = vxx / K_x[h1] + psi_vxx[j][h1];
			}
			
			/* top boundary */                                         
			if((POS[2]==0) && (!(FREE_SURF)) && (j<=FW)){
				
				psi_vyy[j][i] = b_y[j] * psi_vyy[j][i] + a_y[j] * vyy;                                            
				vyy = vyy / K_y[j] + psi_vyy[j][i];
			}
			
			/* bottom boundary */                                         
			if((POS[2]==NPROCY-1) && (j>=ny2-FW+1)){
				
				h1 = (j-ny2+2*FW);                                        
				h = j;
				
				psi_vyy[h1][i] = b_y[h1] * psi_vyy[h1][i] + a_y[h1] * vyy;                                            
				vyy = vyy / K_y[h1] + psi_vyy[h1][i];
			}
			
			/* lambda - mu relationship*/
Tilman Steinweg's avatar
Tilman Steinweg committed
97
			if (INVMAT1==1){
98
99
				g = rho[j][i] * (pi[j][i] * pi[j][i]);
			}
Tilman Steinweg's avatar
Tilman Steinweg committed
100
101
102
103
			
			sp[j][i] += g*(vxx+vyy);
			
		}
104
105
		}
	break;
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270

	case 4:
		for (j=ny1;j<=ny2;j++){
		for (i=nx1;i<=nx2;i++){
			vxx = (  hc[1]*(vx[j][i]  -vx[j][i-1])
				       + hc[2]*(vx[j][i+1]-vx[j][i-2]))*dhi;
			
                        vyy = (  hc[1]*(vy[j][i]  -vy[j-1][i])
				       + hc[2]*(vy[j+1][i]-vy[j-2][i]))*dhi; 

			/* left boundary */                                         
			if((!BOUNDARY) && (POS[1]==0) && (i<=FW)){
				
				psi_vxx[j][i] = b_x[i] * psi_vxx[j][i] + a_x[i] * vxx;
				vxx = vxx / K_x[i] + psi_vxx[j][i];             
			}

			/* right boundary */                                         
			if((!BOUNDARY) && (POS[1]==NPROCX-1) && (i>=nx2-FW+1)){
			
				h1 = (i-nx2+2*FW);
				h = i;
				
				psi_vxx[j][h1] = b_x[h1] * psi_vxx[j][h1] + a_x[h1] * vxx;
				vxx = vxx / K_x[h1] + psi_vxx[j][h1];
			}

			/* top boundary */                                         
			if((POS[2]==0) && (!(FREE_SURF)) && (j<=FW)){
				
				psi_vyy[j][i] = b_y[j] * psi_vyy[j][i] + a_y[j] * vyy;
				vyy = vyy / K_y[j] + psi_vyy[j][i];
			}
		
			/* bottom boundary */                                         
			if((POS[2]==NPROCY-1) && (j>=ny2-FW+1)){

				h1 = (j-ny2+2*FW);                                        
				h = j;
				
				psi_vyy[h1][i] = b_y[h1] * psi_vyy[h1][i] + a_y[h1] * vyy;                                            
				vyy = vyy / K_y[h1] + psi_vyy[h1][i];
			}
			
			if (INVMAT1==1){
				g = rho[j][i] * (pi[j][i] * pi[j][i]);}
			
			sp[j][i] += g*(vxx+vyy);
			
		}
		}
	break;

	case 6:
		for (j=ny1;j<=ny2;j++){
			for (i=nx1;i<=nx2;i++){
			vxx = (  hc[1]*(vx[j][i]  -vx[j][i-1])
				       + hc[2]*(vx[j][i+1]-vx[j][i-2])
				       + hc[3]*(vx[j][i+2]-vx[j][i-3]))*dhi;
			
                        vyy = (  hc[1]*(vy[j][i]  -vy[j-1][i])
				       + hc[2]*(vy[j+1][i]-vy[j-2][i])
				       + hc[3]*(vy[j+2][i]-vy[j-3][i]))*dhi; 

			/* left boundary */                                         
			if((!BOUNDARY) && (POS[1]==0) && (i<=FW)){
				
				psi_vxx[j][i] = b_x[i] * psi_vxx[j][i] + a_x[i] * vxx;
				vxx = vxx / K_x[i] + psi_vxx[j][i];
			}

			/* right boundary */                                         
			if((!BOUNDARY) && (POS[1]==NPROCX-1) && (i>=nx2-FW+1)){
			
				h1 = (i-nx2+2*FW);
				h = i;
				
				psi_vxx[j][h1] = b_x[h1] * psi_vxx[j][h1] + a_x[h1] * vxx;
				vxx = vxx / K_x[h1] + psi_vxx[j][h1]; 
			}

			/* top boundary */                                         
			if((POS[2]==0) && (!(FREE_SURF)) && (j<=FW)){
				
				psi_vyy[j][i] = b_y[j] * psi_vyy[j][i] + a_y[j] * vyy;
				vyy = vyy / K_y[j] + psi_vyy[j][i];

			}
			
			/* bottom boundary */                                         
			if((POS[2]==NPROCY-1) && (j>=ny2-FW+1)){

				h1 = (j-ny2+2*FW);                                        
				h = j;
				
				psi_vyy[h1][i] = b_y[h1] * psi_vyy[h1][i] + a_y[h1] * vyy;                                            
				vyy = vyy / K_y[h1] + psi_vyy[h1][i];
			}
			
			if (INVMAT1==1){
				g = rho[j][i] * (pi[j][i] * pi[j][i]);}
			
			sp[j][i] += g*(vxx+vyy);
			
		}
		}
	break;

	case 8:

		for (j=ny1;j<=ny2;j++){
		for (i=nx1;i<=nx2;i++){

			vxx = (  hc[1]*(vx[j][i]  -vx[j][i-1])
				       + hc[2]*(vx[j][i+1]-vx[j][i-2])
				       + hc[3]*(vx[j][i+2]-vx[j][i-3])
				       + hc[4]*(vx[j][i+3]-vx[j][i-4]))*dhi;
			
			vyy = (  hc[1]*(vy[j][i]  -vy[j-1][i])
				       + hc[2]*(vy[j+1][i]-vy[j-2][i])
				       + hc[3]*(vy[j+2][i]-vy[j-3][i])
				       + hc[4]*(vy[j+3][i]-vy[j-4][i]))*dhi; 

			/* left boundary */                                         
			if((!BOUNDARY) && (POS[1]==0) && (i<=FW)){
				
				psi_vxx[j][i] = b_x[i] * psi_vxx[j][i] + a_x[i] * vxx;
				vxx = vxx / K_x[i] + psi_vxx[j][i];        
			}

			/* right boundary */                                         
			if((!BOUNDARY) && (POS[1]==NPROCX-1) && (i>=nx2-FW+1)){
			
				h1 = (i-nx2+2*FW);
				h = i;
				
				psi_vxx[j][h1] = b_x[h1] * psi_vxx[j][h1] + a_x[h1] * vxx;
				vxx = vxx / K_x[h1] + psi_vxx[j][h1]; 
			}

			/* top boundary */                                         
			if((POS[2]==0) && (!(FREE_SURF)) && (j<=FW)){
				
				psi_vyy[j][i] = b_y[j] * psi_vyy[j][i] + a_y[j] * vyy;
				vyy = vyy / K_y[j] + psi_vyy[j][i];
			}
			
			/* bottom boundary */                                         
			if((POS[2]==NPROCY-1) && (j>=ny2-FW+1)){

				h1 = (j-ny2+2*FW);                                        
				h = j;
				
				psi_vyy[h1][i] = b_y[h1] * psi_vyy[h1][i] + a_y[h1] * vyy;                                            
				vyy = vyy / K_y[h1] + psi_vyy[h1][i];
			}
			
			if (INVMAT1==1){
				g = rho[j][i] * (pi[j][i] * pi[j][i]);}
			
			sp[j][i] += g*(vxx+vyy);
			
		}
		}
	break;
271
	
Tilman Steinweg's avatar
Tilman Steinweg committed
272
273
274
275
276
277
278
279
	default:
		for (j=ny1;j<=ny2;j++){
			for (i=nx1;i<=nx2;i++){
				vxx = 0.0;
				vyy = 0.0;
				for (m=1; m<=fdoh; m++) {
					vxx += hc[m]*(vx[j][i+m-1] -vx[j][i-m]  );
					vyy += hc[m]*(vy[j+m-1][i] -vy[j-m][i]  );
280
281
282
283
				}
				
				g=pi[j][i]*DT;
				
Tilman Steinweg's avatar
Tilman Steinweg committed
284
285
286
				sp[j][i]+=(g*(vxx+vyy))*dhi;
			}
		}
287
	break;
Tilman Steinweg's avatar
Tilman Steinweg committed
288
289
		
	} /* end of switch(FDORDER) */
290
	
Tilman Steinweg's avatar
Tilman Steinweg committed
291
292
293
294
295
	if (infoout && (MYID==0)){
		time2=MPI_Wtime();
		fprintf(FP," finished (real time: %4.2f s).\n",time2-time1);
	}
}