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Flow_kernel.cu
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//////////////////////////////////////////////////////////////////////////////////
//XBeach_GPU //
//Copyright (C) 2013 Bosserelle //
// //
//This program 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. //
// //
//This program 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 this program. If not, see <http://www.gnu.org/licenses/>. //
//////////////////////////////////////////////////////////////////////////////////
#include <stdio.h>
#define pi 3.14159265
__device__ float minmod(float delta1, float delta2)
{
float minmod = 0.0f;
if (delta1*delta2 > 0.0f)
{
if (delta1 > 0.0f)
{
minmod = min(delta1, delta2);
}
if (delta1 < 0.0f)
{
minmod = max(delta1, delta2);
}
}
return(minmod);
}
__global__ void ubnd(int nx, int ny, DECNUM dx, DECNUM dt, DECNUM g, DECNUM rho, DECNUM totaltime, DECNUM wavbndtime, DECNUM rt, DECNUM slbndtime, DECNUM rtsl, DECNUM zsbndold, DECNUM zsbndnew, DECNUM Trep, DECNUM * qbndold, DECNUM * qbndnew, DECNUM *zs, DECNUM * uu, DECNUM * vv, DECNUM *vu, DECNUM * umean, DECNUM * vmean, DECNUM * zb, DECNUM * cg, DECNUM * hum, DECNUM * zo, DECNUM *Fx, DECNUM *hh)
{
unsigned int ix = blockIdx.x*blockDim.x + threadIdx.x;
unsigned int iy = blockIdx.y*blockDim.y + threadIdx.y;
unsigned int i = ix + iy*nx;
if (ix < nx && iy < ny)
{
unsigned int xminus = mminus(ix, nx);
unsigned int xplus = pplus(ix, nx);
unsigned int xplus2 = pplus2(ix, nx);
unsigned int yminus = mminus(iy, ny);
unsigned int yplus = pplus(iy, ny);
DECNUM ui, vi, thetai, vert;
DECNUM beta, betar, betat, betab, bnp1, bn;
DECNUM ht, htr;
DECNUM theta0 = 0.0f;
DECNUM alpha2 = -1.0f*theta0;
DECNUM epsi = 0.005; //Not used!
DECNUM ur, uumean, vvmean, urr, alphanew;
DECNUM dbetadx, dbetady, dvudy, dhdx;
DECNUM qx, qy, zsbnd;
DECNUM order = 2.0f;
DECNUM ccg = cg[i];
DECNUM cats = 4; // number of wave period to average the current from
DECNUM factime = 0.0f;// 1.0f/cats/Trep*dt;
DECNUM taper = min(totaltime / 100.0f, 1.0f);
if (ix == 0)
{
qx = (qbndold[iy] + (totaltime - wavbndtime + rt)*(qbndnew[iy] - qbndold[iy]) / rt)*taper;
qy = (qbndold[iy + ny] + (totaltime - wavbndtime + rt)*(qbndnew[iy + ny] - qbndold[iy + ny]) / rt)*taper;
zsbnd = zsbndold + (totaltime - rtsl)*(zsbndnew - zsbndold) / (slbndtime - rtsl);
ht = zsbnd + zb[i];
htr = zsbnd + zb[xplus + iy*nx];
ui = qx / ht;
vi = qy / ht;
beta = uu[i] - 2.0f*sqrt(g*hum[i]);
betar = uu[xplus + iy*nx] - 2.0f*sqrtf(g*hum[xplus + iy*nx]);
betat = uu[ix + yplus*nx] - 2.0f*sqrtf(g*hum[ix + yplus*nx]);
betab = uu[ix + yminus*nx] - 2.0f*sqrtf(g*hum[ix + yminus*nx]);
dvudy = (vu[ix + (yminus)*nx] - vu[ix + (yplus)*nx]) / (2.0f*dx);
dbetadx = (betar - beta) / dx;
dbetady = (betat - betab) / (2.0f*dx);
dhdx = (htr - ht) / dx;
bn = -1.0f*(uu[i] - sqrt(g*hum[i]))*dbetadx - vu[i] * dbetady + sqrtf(g*hum[i])*dvudy + 1 / rho*Fx[i] / hum[i] - zo[i] * sqrtf(uu[i] * uu[i] + vu[i] * vu[i])*uu[i] / hum[i] + g*dhdx;
bnp1 = beta + bn*dt;
//WARNING this should be very inefficient. Need to find a better way. possibly inside another kernel
// not neededd when epsi ==0.0...or factime==0.0
DECNUM uumm = 0.0f;
DECNUM vvmm = 0.0f;
/*for (int jj=0; jj<ny; jj++)
{
uumm=uumm+uu[ix+jj*nx];
vvmm=vvmm+vv[ix+jj*nx];
}*/
uumean = factime*uumm + umean[iy] * (1 - factime);
vvmean = factime*vvmm + vmean[iy] * (1 - factime);
umean[iy] = uumean;
vmean[iy] = vvmean;
thetai = atanf(vi / (ui + 0.0000001f));
vert = vu[i] - vvmean - vi;
urr = (bnp1 - uumean + 2.0f*sqrtf(g*0.5f*(ht + htr)) - ui*(ccg*(cosf(thetai)) - sqrtf(g*0.5f*(ht + htr))) / (ccg*cosf(thetai)));
for (int jj = 0; jj < 50; jj++)
{
ur = cosf(alpha2) / (cosf(alpha2) + 1.0f)*urr;
/*if(ur==0.0f)
{
ur=0.0000001f;
}*/
alphanew = atanf(vert / (ur + 0.0000001f));
if (alphanew > pi*0.5f)
{
alphanew = alphanew - pi;
}
if (alphanew <= -0.5f*pi)
{
alphanew = alphanew + pi;
}
if (abs(alphanew - alpha2) < 0.001f)
{
break;
}
alpha2 = alphanew;
}
//
uu[i] = uumean;//(order - 1.0f)*ui + ur + uumean;//2.0f*ui-(sqrtf(g/(zs[i]+zb[i]))*(zs[i]-zsbnd));;//
zs[i] = 1.5f*((bnp1 - uu[i])*(bnp1 - uu[i]) / (4.0f*g) - 0.5f*(zb[i] + zb[xplus + iy*nx])) - 0.5f*((betar - uu[xplus + iy*nx])*(betar - uu[xplus + iy*nx]) / (4.0f*g) - 0.5f*(zb[xplus + iy*nx] + zb[xplus2 + iy*nx]));
////
//zsbnd+qx/(dx*dx)*dt;//
hh[i] = zs[i] + zb[i];
vv[i] = vv[xplus + iy*nx];
}
//__syncthreads;
}
}
__global__ void ubnd1D(int nx, int ny, DECNUM dx, DECNUM dt, DECNUM g, DECNUM rho, DECNUM totaltime, DECNUM time, DECNUM timenext, DECNUM zsbndi, DECNUM zsbndn, DECNUM Trep, DECNUM * qbndold, DECNUM * qbndnew, DECNUM *zs, DECNUM * uu, DECNUM * vv, DECNUM *vu, DECNUM * umean, DECNUM * vmean, DECNUM * zb, DECNUM * cg, DECNUM * hum, DECNUM * zo, DECNUM *Fx, DECNUM *hh)
{
unsigned int ix = blockIdx.x*blockDim.x + threadIdx.x;
unsigned int iy = blockIdx.y*blockDim.y + threadIdx.y;
unsigned int i = ix + iy*nx;
if (ix == 0)
{
unsigned int xminus = mminus(ix, nx);
unsigned int xplus = pplus(ix, nx);
unsigned int xplus2 = pplus2(ix, nx);
unsigned int yminus = mminus(iy, ny);
unsigned int yplus = pplus(iy, ny);
DECNUM zsbnd = zsbndi + (zsbndn - zsbndi)*(((float)iy) / ((float)ny));
DECNUM ui, vi, thetai, vert;
DECNUM ht, htr;
DECNUM epsi = 0.005; //Not used!
DECNUM ur, uumean, vvmean, urr, alphanew;
DECNUM qx, qy;
DECNUM cats = 4.0f; // number of wave period to average the current from
DECNUM factime = 1.0f/cats/Trep*dt;
DECNUM taper = min(totaltime / 100.0f, 1.0f);
DECNUM zsplus = zs[xplus + iy*nx];
//prev + (time) / (timenext)*(next - prev);
qx = (qbndold[iy] + time/ timenext*(qbndnew[iy] - qbndold[iy]) )*taper;
qy = (qbndold[iy + ny] + time / timenext*(qbndnew[iy + ny] - qbndold[iy + ny]) )*taper;
//zsbnd = zsbndold + (totaltime - rtsl)*(zsbndnew - zsbndold) / (slbndtime - rtsl);
ht = zsbnd + zb[i];
htr = zsbnd + zb[xplus + iy*nx];
ui = qx / ht;
vi = qy / ht;
ur = -1.0f*sqrtf(g/hh[i])*(zsplus - zsbnd);
float uuavg = 0.0f;
for (int n = 0; n < ny; n++)
{
uuavg = uuavg + uu[ix + n*nx];
}
uuavg = uuavg / ny;
//Tidetype=velocity
uumean = factime*uuavg + umean[iy] * (1 - factime);
//vvmean = factime*vvmm + vmean[iy] * (1 - factime);
umean[iy] = uumean;
//vmean[iy] = vvmean;
// Freewave==1
uu[i] = (2.0f)*ui + ur + uumean;//2.0f*ui-(sqrtf(g/(zs[i]+zb[i]))*(zs[i]-zsbnd));;//
//zs[i] = 1.5f*((bnp1 - uu[i])*(bnp1 - uu[i]) / (4.0f*g) - 0.5f*(zb[i] + zb[xplus + iy*nx])) - 0.5f*((betar - uu[xplus + iy*nx])*(betar - uu[xplus + iy*nx]) / (4.0f*g) - 0.5f*(zb[xplus + iy*nx] + zb[xplus2 + iy*nx]));
////
//zsbnd+qx/(dx*dx)*dt;//
zs[i] = zsplus;
//hh[i] = zsplus + zb[i];
vv[i] = vv[xplus + iy*nx];
}
}
// I doubt this should be on the GPU but although it is slow it may be ok for now
__global__ void discharge_bnd_h(int nx, int ny, DECNUM dx, DECNUM eps,DECNUM qnow, int istart, int jstart, int iend,int jend, DECNUM *hu, DECNUM *hv, DECNUM *qx, DECNUM *qy, DECNUM * uu, DECNUM *vv)
{
unsigned int ix = blockIdx.x*blockDim.x + threadIdx.x;
unsigned int iy = blockIdx.y*blockDim.y + threadIdx.y;
unsigned int i = ix + iy*nx;
if (ix >= istart && ix <= iend &&iy >= jstart && iy <= jend)
{
//discharge should run along the x or y axis
//TODO modify the algorithm to alow diagonal discharges
if (istart == iend)//discharge on uu along a vertical line
{
float A = 0.0;
for (int k = jstart; k <= jend; k++)
{
A = A+(cbrtf(hu[ix + k*ny])*dx);
}
float cst = qnow / max(A, eps);
uu[i] = cst*sqrt(hu[i]);
qx[i] = cst*cbrtf(hu[i]);
}
if (jstart == jend)//discharge on uu along a vertical line
{
float A = 0.0;
for (int k = istart; k <= iend; k++)
{
A = A + (cbrtf(hv[k + iy*ny])*dx);
}
float cst = qnow / max(A, eps);
vv[i] = cst*sqrt(hv[i]);
qy[i] = cst*cbrtf(hv[i]);
}
}
}
__global__ void discharge_bnd_v(int nx, int ny, DECNUM dx, DECNUM eps, DECNUM dt, DECNUM qnow, int istart, int jstart, int iend, int jend, DECNUM * zs, DECNUM *hh)
{
unsigned int ix = blockIdx.x*blockDim.x + threadIdx.x;
unsigned int iy = blockIdx.y*blockDim.y + threadIdx.y;
unsigned int i = ix + iy*nx;
if (ix >= istart && ix <= iend &&iy >= jstart && iy <= jend)
{
float A = (iend - istart + 1)*dx*(jend - jstart + 1)*dx;
float dzsdt = qnow*dt / A;
zs[i] = zs[i] + dzsdt;
// Do hh[i] too although Im not sure it is worth it
hh[i] = hh[i] + dzsdt;
}
}
__global__ void ubndsimple(int nx, int ny, DECNUM g, DECNUM zsbndi , DECNUM zsbndn, DECNUM *zb, DECNUM *zs, DECNUM *hh, DECNUM * uu, DECNUM * vv)
{
unsigned int ix = blockIdx.x*blockDim.x + threadIdx.x;
unsigned int iy = blockIdx.y*blockDim.y + threadIdx.y;
unsigned int i = ix + iy*nx;
if (ix == 0)
{
//if ((hh[i]) >= 0.0f) // should be eps not 0.0
{
DECNUM zsbnd = zsbndi + (zsbndn - zsbndi)*(iy / ny);
//u.n[left]=-2.0*(sqrt (G*max(h[],0.)) - sqrt(G*max(bndWL - zb[], 0.)))+u.x[];
//uu[i]= -2.0f*(sqrt(g*max(hh[i], 0.0f)) - sqrtf(g*max(zsbnd - (zb[i]*-1.0f), 0.0f))) + uu[i];
zs[i] = zsbnd;
hh[i] = zsbnd + zb[i]; //eps?
//vv[i] = vv[ix+1 + iy*nx];
}
}
}
__global__ void ubnd1Dnowaves(int nx, int ny, DECNUM dx, DECNUM dt, DECNUM g, DECNUM rho, DECNUM totaltime, DECNUM time, DECNUM timenext, DECNUM zsbndi, DECNUM zsbndn, DECNUM *zs, DECNUM * uu, DECNUM * vv, DECNUM *vu, DECNUM * umean, DECNUM * vmean, DECNUM * zb, DECNUM * hum, DECNUM * zo, DECNUM *hh)
{
unsigned int ix = blockIdx.x*blockDim.x + threadIdx.x;
unsigned int iy = blockIdx.y*blockDim.y + threadIdx.y;
unsigned int i = ix + iy*nx;
if (ix == 0)
{
unsigned int xminus = mminus(ix, nx);
unsigned int xplus = pplus(ix, nx);
unsigned int xplus2 = pplus2(ix, nx);
unsigned int yminus = mminus(iy, ny);
unsigned int yplus = pplus(iy, ny);
DECNUM zsbnd = zsbndi + (zsbndn - zsbndi)*(((float)iy) / ((float)ny));;
DECNUM ui, vi, thetai, vert;
DECNUM ht, htr;
DECNUM epsi = 0.005; //Not used!
DECNUM ur, uumean, vvmean, urr, alphanew;
DECNUM qx, qy;
DECNUM cats = 4.0f; // number of wave period to average the current from
DECNUM factime = 1.0f/60.0f*dt;// 1.0f / cats / Trep*dt;
DECNUM taper = min(totaltime / 100.0f, 1.0f);
DECNUM zsplus = zs[xplus + iy*nx];
//prev + (time) / (timenext)*(next - prev);
qx = 0.0f;
qy = 0.0f;
//zsbnd = zsbndold + (totaltime - rtsl)*(zsbndnew - zsbndold) / (slbndtime - rtsl);
ht = zsbnd + zb[i];
htr = zsbnd + zb[xplus + iy*nx];
ui = 0.0f;
vi = 0.0f;
ur = -1.0f*sqrtf(g / hh[i])*(zsplus - zsbnd);
float uuavg = 0.0f;
for (int n = 0; n < ny; n++)
{
uuavg = uuavg + uu[ix + n*nx];
}
uuavg = uuavg / ny;
//Tidetype=velocity
uumean = factime*uuavg + umean[iy] * (1 - factime);
//vvmean = factime*vvmm + vmean[iy] * (1 - factime);
umean[iy] = uumean;
//vmean[iy] = vvmean;
// Freewave==1
uu[i] = (2.0f)*ui + ur + uumean;
//zs[i] = 1.5f*((bnp1 - uu[i])*(bnp1 - uu[i]) / (4.0f*g) - 0.5f*(zb[i] + zb[xplus + iy*nx])) - 0.5f*((betar - uu[xplus + iy*nx])*(betar - uu[xplus + iy*nx]) / (4.0f*g) - 0.5f*(zb[xplus + iy*nx] + zb[xplus2 + iy*nx]));
////
//zsbnd+qx/(dx*dx)*dt;//
zs[i] = zsplus;
//hh[i] = zsplus + zb[i];
vv[i] = vv[xplus + iy*nx];
}
}
__global__ void wlevslopes(int nx, int ny, DECNUM dx, DECNUM eps, DECNUM *zs, DECNUM * dzsdx, DECNUM *dzsdy, DECNUM*hh)
{
unsigned int ix = blockIdx.x*blockDim.x + threadIdx.x;
unsigned int iy = blockIdx.y*blockDim.y + threadIdx.y;
unsigned int i = ix + iy*nx;
unsigned int tx = threadIdx.x;
unsigned int ty = threadIdx.y;
if (ix < nx && iy < ny)
{
unsigned int xminus = mminus(ix, nx);
unsigned int xplus = pplus(ix, nx);
unsigned int yminus = mminus(iy, ny);
unsigned int yplus = pplus(iy, ny);
__shared__ DECNUM zsi[16][16];
__shared__ DECNUM zsr[16][16];
__shared__ DECNUM zst[16][16];
//int whi;
//int whr;
//int wht;
// Should dzsdx be ==0 near dry cells?
//whi=0;
//whr=0;
//wht=0;
/* if (hh[i]>eps)
{
whi=1;
}
if(hh[xplus+iy*nx]>eps)
{
whr=1;
}
if(hh[ix+yplus*nx]>eps)
{
wht=1;
}
*/
zsi[tx][ty] = zs[i];
zsr[tx][ty] = zs[xplus + iy*nx];
zst[tx][ty] = zs[ix + yplus*nx];
//dzsdx[i]=(zs[ix+1+iy*nx]-zs[ix-1+iy*nx])/(2*dx);
dzsdx[i] = (zsr[tx][ty] - zsi[tx][ty]) / dx;//*whi*whr;
dzsdy[i] = (zst[tx][ty] - zsi[tx][ty]) / dx;//*whi*wht;
}
}
__global__ void calcuvvu(int nx, int ny, DECNUM dx, DECNUM *uu, DECNUM *vv, DECNUM *vu, DECNUM *uv, DECNUM * ust, DECNUM *thetamean, DECNUM *ueu_g, DECNUM *vev_g, DECNUM *vmageu, DECNUM *vmagev, DECNUM * uuold, DECNUM * vvold, DECNUM * zs, DECNUM *zsold, int* wetu, int* wetv)
{
unsigned int ix = blockIdx.x*blockDim.x + threadIdx.x;
unsigned int iy = blockIdx.y*blockDim.y + threadIdx.y;
unsigned int i = ix + iy*nx;
int tx = threadIdx.x;
int ty = threadIdx.y;
if (ix < nx && iy < ny)
{
unsigned int xminus = mminus(ix, nx);
unsigned int xplus = pplus(ix, nx);
unsigned int yminus = mminus(iy, ny);
unsigned int yplus = pplus(iy, ny);
DECNUM vsu, usu, ueu, veu, usv, vsv, vev, uev;
__shared__ DECNUM usti[16][16];
__shared__ DECNUM ustr[16][16];
__shared__ DECNUM ustt[16][16];
__shared__ DECNUM tmeani[16][16];
__shared__ DECNUM tmeanr[16][16];
__shared__ DECNUM tmeant[16][16];
__shared__ int wetui[16][16];
__shared__ int wetvi[16][16];
usti[tx][ty] = ust[i];
tmeani[tx][ty] = thetamean[i];
ustr[tx][ty] = ust[xplus + iy*nx];
tmeanr[tx][ty] = thetamean[xplus + iy*nx];
ustt[tx][ty] = ust[ix + yplus*nx];
tmeant[tx][ty] = thetamean[ix + yplus*nx];
wetui[tx][ty] = wetu[i];
wetvi[tx][ty] = wetv[i];
// Uold and Vold used in 2nd order flow correction
uuold[i] = uu[i];
vvold[i] = vv[i];
zsold[i] = zs[i];
// V-velocities at u-points
vu[i] = 0.25f*(vv[ix + yminus*nx] + vv[ix + iy*nx] + vv[xplus + yminus*nx] + vv[xplus + iy*nx])*wetui[tx][ty];
// U-velocities at v-points
uv[i] = 0.25f*(uu[xminus + iy*nx] + uu[ix + iy*nx] + uu[xminus + yplus*nx] + uu[ix + yplus*nx])*wetvi[tx][ty];
//Calculate V-stokes at u points
vsu = 0.5f*(usti[tx][ty] * sinf(tmeani[tx][ty]) + ustr[tx][ty] * sinf(tmeanr[tx][ty]))*wetui[tx][ty];
//Calculate U-stokes at u points
usu = 0.5f*(usti[tx][ty] * cosf(tmeani[tx][ty]) + ustr[tx][ty] * cosf(tmeanr[tx][ty]))*wetui[tx][ty];
//Calculate U-euler at u points
ueu = uu[i] - usu;
//Calculate V-euler at u points
veu = vu[i] - vsu;
vmageu[i] = sqrtf(ueu*ueu + veu*veu);
ueu_g[i] = ueu;
usv = 0.5f*(usti[tx][ty] * cosf(tmeani[tx][ty]) + ustt[tx][ty] * cosf(tmeant[tx][ty]))*wetvi[tx][ty];
vsv = 0.5f*(usti[tx][ty] * sinf(tmeani[tx][ty]) + ustt[tx][ty] * sinf(tmeant[tx][ty]))*wetvi[tx][ty];
vev = vv[i] - vsv;
uev = uv[i] - usv;
vmagev[i] = sqrtf(uev*uev + vev*vev);
vev_g[i] = vev;
}
}
__global__ void udepthmomcont(int nx, int ny, DECNUM dx, DECNUM eps, DECNUM ummn, int* wetu, DECNUM * zs, DECNUM * uu, DECNUM * hh, DECNUM *hum, DECNUM *hu, DECNUM * zb)
{
unsigned int ix = blockIdx.x*blockDim.x + threadIdx.x;
unsigned int iy = blockIdx.y*blockDim.y + threadIdx.y;
unsigned int i = ix + iy*nx;
unsigned int tx = threadIdx.x;
unsigned int ty = threadIdx.y;
if (ix < nx && iy < ny)
{
unsigned int xminus = mminus(ix, nx);
unsigned int xplus = pplus(ix, nx);
unsigned int yminus = mminus(iy, ny);
unsigned int yplus = pplus(iy, ny);
DECNUM humi;
DECNUM hui;
__shared__ DECNUM hhi[16][16];
__shared__ DECNUM hhip[16][16];
//__shared__ DECNUM hhjp[4][4];
hui = hu[i];
hhi[tx][ty] = hh[i];
hhip[tx][ty] = hh[xplus + iy*nx];
//hhjp[tx][ty]=hh[ix+(iy+1)*nx];
__syncthreads;
//Water depth in u-points do momentum equation: mean
humi = 0.5f*(hhi[tx][ty] + hhip[tx][ty]);
// Water depth in u-points do continuity equation: upwind
__syncthreads;
if (hui > eps && humi > eps)
{
wetu[i] = 1;
}
else
{
wetu[i] = 0;
}
hum[i] = max(humi, eps);
}
}
__global__ void vdepthmomcont(int nx, int ny, DECNUM dx, DECNUM eps, DECNUM ummn, int* wetv, DECNUM * zs, DECNUM * vv, DECNUM * hh, DECNUM *hvm, DECNUM *hv, DECNUM * zb)
{
unsigned int ix = blockIdx.x*blockDim.x + threadIdx.x;
unsigned int iy = blockIdx.y*blockDim.y + threadIdx.y;
unsigned int i = ix + iy*nx;
unsigned int tx = threadIdx.x;
unsigned int ty = threadIdx.y;
if (ix < nx && iy < ny)
{
unsigned int xminus = mminus(ix, nx);
unsigned int xplus = pplus(ix, nx);
unsigned int yminus = mminus(iy, ny);
unsigned int yplus = pplus(iy, ny);
DECNUM hvmi, hvi;
__shared__ DECNUM hhi[16][16];
//__shared__ DECNUM hhip[4][4];
__shared__ DECNUM hhjp[16][16];
hhi[tx][ty] = hh[i];
//hhip[tx][ty]=hh[ix+1+iy*nx];
hhjp[tx][ty] = hh[ix + yplus*nx];
__syncthreads;
//Water depth in u-points do momentum equation: mean
//hvmi=max(0.5f*(hh[i]+hh[ix+(min(iy,ny-2)+1)*nx]),eps);
// Water depth in u-points do continuity equation: upwind
//hvi=0.5f*(hhjp[tx][ty]-hhi[tx][ty])+hhi[tx][ty];
hvmi = 0.5f*(hhi[tx][ty] + hhjp[tx][ty]);
//hvm(i,j)=max(.5d0*(hh(i,j)+hh(i,min(ny,j)+1)),par%eps)
hvi = hv[i];
if (hvi > eps && hvmi > eps)
{
wetv[i] = 1;
}
else
{
wetv[i] = 0;
}
hvm[i] = max(hvmi, eps);
}
}
__global__ void depthhu(int nx, int ny, DECNUM dx, DECNUM ummn, DECNUM eps, DECNUM *hh, DECNUM * uu, DECNUM * hu, DECNUM *zs, DECNUM *zb)
{
unsigned int ix = blockIdx.x*blockDim.x + threadIdx.x;
unsigned int iy = blockIdx.y*blockDim.y + threadIdx.y;
unsigned int i = ix + iy*nx;
unsigned int tx = threadIdx.x;
unsigned int ty = threadIdx.y;
if (ix < nx && iy < ny)
{
unsigned int xminus = mminus(ix, nx);
unsigned int xplus = pplus(ix, nx);
unsigned int yminus = mminus(iy, ny);
unsigned int yplus = pplus(iy, ny);
DECNUM hui = 0.0f;
__shared__ DECNUM hhi[16][16];
__shared__ DECNUM hhip[16][16];
hhi[tx][ty] = hh[i];
hhip[tx][ty] = hh[xplus + iy*nx];
if (uu[i]>ummn)
{
//hui=hhi[tx][ty];
hui = zs[i] - max(-1.0f*zb[i], -1.0f*zb[xplus + iy*nx]);
}
else
{
if (uu[i] < -1.0f*ummn)
{
//hui=hhip[tx][ty];
hui = zs[xplus + iy*nx] - max(-1.0f*zb[i], -1.0f*zb[xplus + iy*nx]);
}
else
{
hui = max(max(zs[i], zs[xplus + iy*nx]) - max(-1.0f*zb[i], -1.0f*zb[xplus + iy*nx]), eps);
}
}
//hui=0.5f*(hhip[tx][ty]+hhi[tx][ty]);
hui = max(hui, 0.0f);
hu[i] = hui;
}
}
__global__ void depthhv(int nx, int ny, DECNUM dx, DECNUM ummn, DECNUM eps, DECNUM *hh, DECNUM * vv, DECNUM * hv, DECNUM *zs, DECNUM *zb)
{
unsigned int ix = blockIdx.x*blockDim.x + threadIdx.x;
unsigned int iy = blockIdx.y*blockDim.y + threadIdx.y;
unsigned int i = ix + iy*nx;
unsigned int tx = threadIdx.x;
unsigned int ty = threadIdx.y;
if (ix < nx && iy < ny)
{
unsigned int xminus = mminus(ix, nx);
unsigned int xplus = pplus(ix, nx);
unsigned int yminus = mminus(iy, ny);
unsigned int yplus = pplus(iy, ny);
DECNUM hvi = 0.0f;
__shared__ DECNUM hhi[16][16];
//__shared__ DECNUM hhip[4][4];
__shared__ DECNUM hhjp[16][16];
hhi[tx][ty] = hh[i];
//hhip[tx][ty]=hh[ix+1+iy*nx];
hhjp[tx][ty] = hh[ix + yplus*nx];
__syncthreads;
if (vv[i]>ummn)
{
//hvi=hhi[tx][ty];
hvi = zs[i] - max(-1.0f*zb[i], -1.0f*zb[ix + yplus*nx]);
}
else
{
if (vv[i] < -1 * ummn)
{
//hvi=hhjp[tx][ty];
hvi = zs[ix + yplus*nx] - max(-1.0f*zb[i], -1.0f*zb[ix + yplus*nx]);
}
else
{
hvi = max(max(zs[i], zs[ix + yplus*nx]) - max(-1.0f*zb[i], -1.0f*zb[ix + yplus*nx]), eps);
//hv[i]=hvm[i];
}
}
hvi = max(hvi, 0.0f);
hv[i] = hvi;
}
}
__global__ void ududx_adv(int nx, int ny, DECNUM dx, DECNUM * hu, DECNUM * hum, DECNUM * uu, DECNUM * ududx)
{
unsigned int ix = blockIdx.x*blockDim.x + threadIdx.x;
unsigned int iy = blockIdx.y*blockDim.y + threadIdx.y;
unsigned int i = ix + iy*nx;
unsigned int tx = threadIdx.x;
unsigned int ty = threadIdx.y;
DECNUM qin, uududx, du;
__shared__ DECNUM uui[16][16];
__shared__ DECNUM uur[16][16];
__shared__ DECNUM uul[16][16];
__shared__ DECNUM hui[16][16];
__shared__ DECNUM humi[16][16];
if (ix < nx && iy < ny)
{
unsigned int xminus = mminus(ix, nx);
unsigned int xplus = pplus(ix, nx);
unsigned int yminus = mminus(iy, ny);
unsigned int yplus = pplus(iy, ny);
uui[tx][ty] = uu[i];
uur[tx][ty] = uu[xplus + iy*nx];
uul[tx][ty] = uu[xminus + iy*nx];
hui[tx][ty] = hu[i];
humi[tx][ty] = hum[i];
uududx = 0.0f;
qin = 0.5f*(hui[tx][ty] * uui[tx][ty] + hu[xminus + iy*nx] * uul[tx][ty]);
du = uui[tx][ty] - uul[tx][ty];
//ududx
if (qin > 0.0f)
{
if (du > 0.5f)
{
uududx = uududx + 0.5f*(uul[tx][ty] + uui[tx][ty])* (uui[tx][ty] - uul[tx][ty]) / dx;
}
else
{
uududx = uududx + qin / humi[tx][ty] * (uui[tx][ty] - uul[tx][ty]) / dx;
}
}
qin = -0.5f*(hui[tx][ty] * uui[tx][ty] + hu[xplus + iy*nx] * uur[tx][ty]);
du = uur[tx][ty] - uui[tx][ty];
if (qin > 0.0f)
{
if (du > 0.5f)
{
uududx = uududx - 0.5f*(uur[tx][ty] + uui[tx][ty])* (uui[tx][ty] - uur[tx][ty]) / dx;
}
else
{
uududx = uududx + qin / humi[tx][ty] * (uui[tx][ty] - uur[tx][ty]) / dx;
}
}
ududx[i] = uududx;
}
}
__global__ void ududx_adv2(int nx, int ny, DECNUM dx, DECNUM * hu, DECNUM * hum, DECNUM * uu, DECNUM * ududx)
{
unsigned int ix = blockIdx.x*blockDim.x + threadIdx.x;
unsigned int iy = blockIdx.y*blockDim.y + threadIdx.y;
unsigned int i = ix + iy*nx;
unsigned int tx = threadIdx.x;
unsigned int ty = threadIdx.y;
DECNUM qin, uududx;
__shared__ DECNUM uui[16][16];
__shared__ DECNUM uur[16][16];
__shared__ DECNUM uur2[16][16];
__shared__ DECNUM uul[16][16];
__shared__ DECNUM uul2[16][16];
__shared__ DECNUM hui[16][16];
__shared__ DECNUM hur[16][16];
__shared__ DECNUM hul[16][16];
__shared__ DECNUM humi[16][16];
if (ix < nx && iy < ny)
{
unsigned int xminus = mminus(ix, nx);
unsigned int xminus2 = mminus2(ix, nx);
unsigned int xplus = pplus(ix, nx);
unsigned int xplus2 = pplus2(ix, nx);
uui[tx][ty] = uu[i];
uur[tx][ty] = uu[xplus + iy*nx];
uur2[tx][ty] = uu[xplus2 + iy*nx];
uul[tx][ty] = uu[xminus + iy*nx];
uul2[tx][ty] = uu[xminus2 + iy*nx];
hui[tx][ty] = hu[i];
hur[tx][ty] = hu[xplus + iy*nx];
hul[tx][ty] = hu[xminus + iy*nx];
humi[tx][ty] = hum[i];
uududx = 0.0f;
qin = 0.5f*(hui[tx][ty] * uui[tx][ty] + hul[tx][ty] * uul[tx][ty]);
//ududx
if (qin > 0.0f)
{
uududx = uududx + qin / humi[tx][ty] * (3 * uui[tx][ty] - 4 * uul[tx][ty] + uul2[tx][ty]) / (2 * dx);
}
qin = -0.5f*(hui[tx][ty] * uui[tx][ty] + hur[tx][ty] * uur[tx][ty]);
if (qin > 0.0f)
{
uududx = uududx + qin / humi[tx][ty] * (3 * uui[tx][ty] - 4 * uur[tx][ty] + uur2[tx][ty]) / (2 * dx);
}
ududx[i] = uududx;
}
}
__global__ void vdudy_adv(int nx, int ny, DECNUM dx, DECNUM * hv, DECNUM * hum, DECNUM * uu, DECNUM *vv, DECNUM * vdudy)
{
unsigned int ix = blockIdx.x*blockDim.x + threadIdx.x;
unsigned int iy = blockIdx.y*blockDim.y + threadIdx.y;
unsigned int i = ix + iy*nx;
unsigned int tx = threadIdx.x;
unsigned int ty = threadIdx.y;
DECNUM qin, dv, vvdudy;
__shared__ DECNUM uui[16][16];
__shared__ DECNUM uut[16][16];
__shared__ DECNUM uub[16][16];
if (ix < nx && iy < ny)
{
unsigned int xminus = mminus(ix, nx);
unsigned int xplus = pplus(ix, nx);
unsigned int yminus = mminus(iy, ny);
unsigned int yplus = pplus(iy, ny);
uui[tx][ty] = uu[i];
uut[tx][ty] = uu[ix + yplus*nx];
uub[tx][ty] = uu[ix + yminus*nx];
vvdudy = 0.0f;
qin = 0.5f*(vv[ix + yminus*nx] * hv[ix + yminus*nx] + vv[xplus + yminus*nx] * hv[xplus + yminus*nx]);
dv = vv[i] - vv[ix + yminus*nx];
if (qin > 0.0f)
{
if (dv > 0.5f)
{
// Conservation of energy head
vvdudy = vvdudy + 0.5f*(vv[ix + yminus*nx] + vv[xplus + yminus*nx])*(uui[tx][ty]-uub[tx][ty])/dx;//
}
else
{
// Conservation of momentum
vvdudy = vvdudy + qin / hum[i] * (uui[tx][ty] - uub[tx][ty]) / dx;
}
}
qin = -0.5f*(vv[i] * hv[i] + vv[xplus + iy*nx] * hv[xplus + iy*nx]);
dv = vv[ix+yplus*nx] - vv[i];
if (qin > 0.0f)
{
if (dv > 0.5f)
{
// Conservation of energy head
vvdudy = vvdudy - 0.5f*(vv[i] + vv[xplus + iy*nx])*(uui[tx][ty] - uut[tx][ty]) / dx;;
}
else
{
//Conservation of momentum
vvdudy = vvdudy + qin / hum[i] * (uui[tx][ty] - uut[tx][ty]) / dx;
}
}
vdudy[i] = vvdudy;
}
}
__global__ void vdudy_adv2(int nx, int ny, DECNUM dx, DECNUM * hv, DECNUM * hum, DECNUM * uu, DECNUM *vv, DECNUM * vdudy)
{
unsigned int ix = blockIdx.x*blockDim.x + threadIdx.x;
unsigned int iy = blockIdx.y*blockDim.y + threadIdx.y;
unsigned int i = ix + iy*nx;
unsigned int tx = threadIdx.x;
unsigned int ty = threadIdx.y;
DECNUM qin, vvdudy;
__shared__ DECNUM uui[16][16];
__shared__ DECNUM uut[16][16];
__shared__ DECNUM uut2[16][16];
__shared__ DECNUM uub[16][16];
__shared__ DECNUM uub2[16][16];
__shared__ DECNUM vvi[16][16];
__shared__ DECNUM vvr[16][16];
__shared__ DECNUM vvb[16][16];
__shared__ DECNUM vvbr[16][16];
__shared__ DECNUM hvi[16][16];
__shared__ DECNUM hvr[16][16];
__shared__ DECNUM hvb[16][16];
__shared__ DECNUM hvbr[16][16];
__shared__ DECNUM humi[16][16];
if (ix < nx && iy < ny)
{
unsigned int xminus = mminus(ix, nx);
unsigned int xplus = pplus(ix, nx);
unsigned int yminus = mminus(iy, ny);
unsigned int yplus = pplus(iy, ny);
unsigned int yminus2 = mminus2(iy, ny);
unsigned int yplus2 = pplus2(iy, ny);
uui[tx][ty] = uu[i];
uut[tx][ty] = uu[ix + yplus*nx];
uub[tx][ty] = uu[ix + yminus*nx];
uut2[tx][ty] = uu[ix + yplus2*nx];
uub2[tx][ty] = uu[ix + yminus2*nx];
vvi[tx][ty] = vv[i];
vvr[tx][ty] = vv[xplus + iy*nx];
vvb[tx][ty] = vv[ix + yminus*nx];
vvbr[tx][ty] = vv[xplus + yminus*nx];
hvi[tx][ty] = hv[i];
hvr[tx][ty] = hv[xplus + iy*nx];
hvb[tx][ty] = hv[ix + yminus*nx];