update_p_PML.c 8.58 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
 *
Florian Wittkamp's avatar
Florian Wittkamp committed
4
 * This file is part of IFOS.
Tilman Steinweg's avatar
Tilman Steinweg committed
5
 * 
Florian Wittkamp's avatar
Florian Wittkamp committed
6
 * IFOS is free software: you can redistribute it and/or modify
Tilman Steinweg's avatar
Tilman Steinweg committed
7 8 9
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation, version 2.0 of the License only.
 * 
Florian Wittkamp's avatar
Florian Wittkamp committed
10
 * IFOS is distributed in the hope that it will be useful,
Tilman Steinweg's avatar
Tilman Steinweg committed
11 12 13 14 15
 * 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
Florian Wittkamp's avatar
Florian Wittkamp committed
16
 * along with IFOS. See file COPYING and/or <http://www.gnu.org/licenses/gpl-2.0.html>.
Tilman Steinweg's avatar
Tilman Steinweg committed
17 18 19 20 21 22 23 24 25 26 27
-----------------------------------------------------------------------------------------*/
/*------------------------------------------------------------------------
 *   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
	extern float DT, DH;
38
	extern int MYID, FDORDER, PARAMETERIZATION, FW;
Tilman Steinweg's avatar
Tilman Steinweg committed
39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54
        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*/
97
			if (PARAMETERIZATION==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

	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];
			}
			
150
			if (PARAMETERIZATION==1){
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
				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];
			}
			
205
			if (PARAMETERIZATION==1){
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
				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];
			}
			
263
			if (PARAMETERIZATION==1){
264 265 266 267 268 269 270
				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);
	}
}