#include<stdlib.h>
#include<stdio.h>
#include<math.h>
#include<assert.h>
#include"fdelmodc.h"
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 viscoacoustic4(modPar mod, srcPar src, wavPar wav, bndPar bnd, int itime, int ixsrc, int izsrc, float **src_nwav, float *vx, float *vz, float *p, float *rox, float *roz, float *l2m, float *tss, float *tep, float *q, 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;
int ix, iz;
int n1;
float ddt, Tpp, *Tlm, *Tlp, *Tt1, *Tt2, *dxvx, *dzvz;
c1 = 9.0/8.0;
c2 = -1.0/24.0;
n1 = mod.naz;
ddt = 1.0/mod.dt;
dxvx = (float *)malloc(n1*sizeof(float));
dzvz = (float *)malloc(n1*sizeof(float));
Tlm = (float *)malloc(n1*sizeof(float));
Tlp = (float *)malloc(n1*sizeof(float));
Tt1 = (float *)malloc(n1*sizeof(float));
Tt2 = (float *)malloc(n1*sizeof(float));
/* calculate vx for all grid points except on the virtual boundary*/
#pragma omp for private (ix, iz) nowait schedule(guided,1)
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*(p[ix*n1+iz] - p[(ix-1)*n1+iz]) +
c2*(p[(ix+1)*n1+iz] - p[(ix-2)*n1+iz]));
}
}
/* calculate vz for all grid points except on the virtual boundary */
#pragma omp for private (ix, iz) schedule(guided,1)
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*(p[ix*n1+iz] - p[ix*n1+iz-1]) +
c2*(p[ix*n1+iz+1] - p[ix*n1+iz-2]));
}
}
/* Add force source */
if (src.type > 5) {
applySource(mod, src, wav, bnd, itime, ixsrc, izsrc, vx, vz, p, NULL, NULL, rox, roz, l2m, src_nwav, verbose);
}
/* boundary condition clears velocities on boundaries */
boundariesP(mod, bnd, vx, vz, p, NULL, NULL, rox, roz, l2m, NULL, NULL, itime, verbose);
/* calculate p/tzz for all grid points except on the virtual boundary */
#pragma omp for private (iz,ix, Tpp) nowait schedule(guided,1)
for (ix=mod.ioPx; ix<mod.iePx; ix++) {
#pragma ivdep
for (iz=mod.ioPz; iz<mod.iePz; iz++) {
dxvx[iz] = c1*(vx[(ix+1)*n1+iz] - vx[ix*n1+iz]) +
c2*(vx[(ix+2)*n1+iz] - vx[(ix-1)*n1+iz]);
}
#pragma ivdep
for (iz=mod.ioPz; iz<mod.iePz; iz++) {
dzvz[iz] = c1*(vz[ix*n1+iz+1] - vz[ix*n1+iz]) +
c2*(vz[ix*n1+iz+2] - vz[ix*n1+iz-1]);
}
/* help variables to let the compiler vectorize the loops */
#pragma ivdep
for (iz=mod.ioPz; iz<mod.iePz; iz++) {
Tpp = tep[ix*n1+iz]*tss[ix*n1+iz];
Tlm[iz] = (1.0-Tpp)*tss[ix*n1+iz]*l2m[ix*n1+iz]*0.5;
Tlp[iz] = l2m[ix*n1+iz]*Tpp;
}
#pragma ivdep
for (iz=mod.ioPz; iz<mod.iePz; iz++) {
Tt1[iz] = 1.0/(ddt+0.5*tss[ix*n1+iz]);
Tt2[iz] = ddt-0.5*tss[ix*n1+iz];
}
/* the update with the relaxation correction */
#pragma ivdep
for (iz=mod.ioPz; iz<mod.iePz; iz++) {
p[ix*n1+iz] -= Tlp[iz]*(dzvz[iz]+dxvx[iz]) + q[ix*n1+iz];
}
#pragma ivdep
for (iz=mod.ioPz; iz<mod.iePz; iz++) {
q[ix*n1+iz] = (Tt2[iz]*q[ix*n1+iz] + Tlm[iz]*(dxvx[iz]+dzvz[iz]))*Tt1[iz];
p[ix*n1+iz] -= q[ix*n1+iz];
}
}
/* Add stress source */
if (src.type < 6) {
applySource(mod, src, wav, bnd, itime, ixsrc, izsrc, vx, vz, p, NULL, NULL, rox, roz, l2m, src_nwav, verbose);
}
/* check if there are sources placed on the free surface */
storeSourceOnSurface(mod, src, bnd, ixsrc, izsrc, vx, vz, p, NULL, NULL, verbose);
/* Free surface: calculate free surface conditions for stresses */
boundariesV(mod, bnd, vx, vz, p, NULL, NULL, rox, roz, l2m, NULL, NULL, itime, verbose);
/* restore source positions on the edge */
reStoreSourceOnSurface(mod, src, bnd, ixsrc, izsrc, vx, vz, p, NULL, NULL, verbose);
free(dxvx);
free(dzvz);
free(Tlm);
free(Tlp);
free(Tt1);
free(Tt2);
return 0;
}