#include<stdlib.h>
#include<stdio.h>
#include<math.h>
#include<assert.h>
#include"fdelmodc.h"
#define MAX(x,y) ((x) > (y) ? (x) : (y))
int applySource(modPar mod, srcPar src, wavPar wav, bndPar bnd, int itime, int ixsrc, int izsrc, float *vx, float *vz, float *tzz,
float *txx, float *txz, float *rox, float *roz, float *l2m, float **src_nwav, int verbose);
int storeSourceOnSurface(modPar mod, srcPar src, bndPar bnd, int ixsrc, int izsrc, float *vx, float *vz, float *tzz, float *txx, float *txz, int verbose);
int reStoreSourceOnSurface(modPar mod, srcPar src, bndPar bnd, int ixsrc, int izsrc, float *vx, float *vz, float *tzz, float *txx, float *txz, int verbose);
int boundariesP(modPar mod, bndPar bnd, float *vx, float *vz, float *tzz, float *txx, float *txz, float *rox, float *roz, float *l2m, float *lam, float *mul, int itime, int verbose);
int boundariesV(modPar mod, bndPar bnd, float *vx, float *vz, float *tzz, float *txx, float *txz, float *rox, float *roz, float *l2m, float *lam, float *mul, int itime, int verbose);
int elastic6(modPar mod, srcPar src, wavPar wav, bndPar bnd, int itime, int ixsrc, int izsrc, float **src_nwav, float *vx,
float *vz, float *tzz, float *txx, float *txz, float *rox, float *roz, float
*l2m, float *lam, float *mul, int verbose)
{
/*********************************************************************
COMPUTATIONAL OVERVIEW OF THE 4th ORDER STAGGERED GRID:
The captial symbols T (=Txx,Tzz) Txz,Vx,Vz represent the actual grid
The indices ix,iz are related to the T grid, so the capital T
symbols represent the actual modelled grid.
one cel (iz,ix)
|
V extra column of vx,txz
|
------- V
| txz vz| txz vz txz vz txz vz txz vz txz vz txz
| |
| vx t | vx t vx t vx t vx t vx t vx
-------
txz vz txz vz txz vz txz vz txz vz txz vz txz
vx t vx T---Vx--T---Vx--T---Vx--T vx t vx
| | | | | | |
txz vz txz Vz--Txz-Vz--Txz-Vz Txz-Vz txz vz txz
| | | | | | |
vx t vx T---Vx--T---Vx--T---Vx--T vx t vx
| | | | | | |
txz vz txz Vz Txz-Vz Txz-Vz Txz-Vz txz vz txz
| | | | | | |
vx t vx T---Vx--T---Vx--T---Vx--T vx t vx
| | | | | | |
txz vz txz Vz Txz-Vz Txz-Vz Txz-Vz txz vz txz
| | | | | | |
vx t vx T---Vx--T---Vx--T---Vx--T vx t vx
txz vz txz vz txz vz txz vz txz vz txz vz txz
vx t vx t vx t vx t vx t vx t vx
txz vz txz vz txz vz txz vz txz vz txz vz txz <--|
|
extra row of txz/vz |
AUTHOR:
Jan Thorbecke (janth@xs4all.nl)
The Netherlands
***********************************************************************/
float c1, c2, c3;
float dvx, dvz;
int ix, iz;
int n1;
int ioXx, ioXz, ioZz, ioZx, ioPx, ioPz, ioTx, ioTz;
c1 = 75.0/64.0;
c2 = -25.0/384.0;
c3 = 3.0/640.0;
n1 = mod.naz;
/* Vx: rox */
ioXx=mod.iorder/2;
ioXz=ioXx-1;
/* Vz: roz */
ioZz=mod.iorder/2;
ioZx=ioZz-1;
/* P, Txx, Tzz: lam, l2m */
ioPx=mod.iorder/2-1;
ioPz=ioPx;
/* Txz: muu */
ioTx=mod.iorder/2;
ioTz=ioTx;
/* calculate vx for all grid points except on the virtual boundary*/
#pragma omp for private (ix, iz) nowait
for (ix=mod.ioXx; ix<mod.ieXx; ix++) {
#pragma ivdep
for (iz=mod.ioXz; iz<mod.ieXz; iz++) {
vx[ix*n1+iz] -= rox[ix*n1+iz]*(
c1*(txx[ix*n1+iz] - txx[(ix-1)*n1+iz] +
txz[ix*n1+iz+1] - txz[ix*n1+iz]) +
c2*(txx[(ix+1)*n1+iz] - txx[(ix-2)*n1+iz] +
txz[ix*n1+iz+2] - txz[ix*n1+iz-1]) +
c3*(txx[(ix+2)*n1+iz] - txx[(ix-3)*n1+iz] +
txz[ix*n1+iz+3] - txz[ix*n1+iz-2]) );
}
}
/* calculate vz for all grid points except on the virtual boundary */
#pragma omp for private (ix, iz)
for (ix=mod.ioZx; ix<mod.ieZx; ix++) {
#pragma ivdep
for (iz=mod.ioZz; iz<mod.ieZz; iz++) {
vz[ix*n1+iz] -= roz[ix*n1+iz]*(
c1*(tzz[ix*n1+iz] - tzz[ix*n1+iz-1] +
txz[(ix+1)*n1+iz] - txz[ix*n1+iz]) +
c2*(tzz[ix*n1+iz+1] - tzz[ix*n1+iz-2] +
txz[(ix+2)*n1+iz] - txz[(ix-1)*n1+iz]) +
c3*(tzz[ix*n1+iz+2] - tzz[ix*n1+iz-3] +
txz[(ix+3)*n1+iz] - txz[(ix-2)*n1+iz]) );
}
}
/* Add force source */
if (src.type > 5) {
applySource(mod, src, wav, bnd, itime, ixsrc, izsrc, vx, vz, tzz, txx, txz, rox, roz, l2m, src_nwav, verbose);
}
/* boundary condition clears velocities on boundaries */
boundariesP(mod, bnd, vx, vz, tzz, txx, txz, rox, roz, l2m, lam, mul, itime, verbose);
/* calculate Txx/tzz for all grid points except on the virtual boundary */
#pragma omp for private (ix, iz, dvx, dvz) nowait
for (ix=mod.ioPx; ix<mod.iePx; ix++) {
#pragma ivdep
for (iz=mod.ioPz; iz<mod.iePz; iz++) {
dvx = c1*(vx[(ix+1)*n1+iz] - vx[ix*n1+iz]) +
c2*(vx[(ix+2)*n1+iz] - vx[(ix-1)*n1+iz]) +
c3*(vx[(ix+3)*n1+iz] - vx[(ix-2)*n1+iz]);
dvz = c1*(vz[ix*n1+iz+1] - vz[ix*n1+iz]) +
c2*(vz[ix*n1+iz+2] - vz[ix*n1+iz-1]) +
c3*(vz[ix*n1+iz+3] - vz[ix*n1+iz-2]);
txx[ix*n1+iz] -= l2m[ix*n1+iz]*dvx + lam[ix*n1+iz]*dvz;
tzz[ix*n1+iz] -= l2m[ix*n1+iz]*dvz + lam[ix*n1+iz]*dvx;
}
}
/* calculate Txz for all grid points except on the virtual boundary */
#pragma omp for private (ix, iz)
for (ix=mod.ioTx; ix<mod.ieTx; ix++) {
#pragma ivdep
for (iz=mod.ioTz; iz<mod.ieTz; iz++) {
txz[ix*n1+iz] -= mul[ix*n1+iz]*(
c1*(vx[ix*n1+iz] - vx[ix*n1+iz-1] +
vz[ix*n1+iz] - vz[(ix-1)*n1+iz]) +
c2*(vx[ix*n1+iz+1] - vx[ix*n1+iz-2] +
vz[(ix+1)*n1+iz] - vz[(ix-2)*n1+iz]) +
c3*(vx[ix*n1+iz+2] - vx[ix*n1+iz-3] +
vz[(ix+2)*n1+iz] - vz[(ix-3)*n1+iz]) );
}
}
/* Add stress source */
if (src.type < 6) {
applySource(mod, src, wav, bnd, itime, ixsrc, izsrc, vx, vz, tzz, txx, txz, rox, roz, l2m, src_nwav, verbose);
}
/* check if there are sources placed on the free surface */
storeSourceOnSurface(mod, src, bnd, ixsrc, izsrc, vx, vz, tzz, txx, txz, verbose);
/* Free surface: calculate free surface conditions for stresses */
boundariesV(mod, bnd, vx, vz, tzz, txx, txz, rox, roz, l2m, lam, mul, itime, verbose);
/* restore source positions on the edge */
reStoreSourceOnSurface(mod, src, bnd, ixsrc, izsrc, vx, vz, tzz, txx, txz, verbose);
return 0;
}