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LBPM/cpu/GreyscaleColor.cpp

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C++
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#include <math.h>
extern "C" void ScaLBL_D3Q19_AAodd_GreyscaleColor(int *neighborList, int *Map, double *dist, double *Aq, double *Bq, double *Den,
double *Phi, double *GreySolidGrad, double *Poros,double *Perm,double *Velocity,
double rhoA, double rhoB, double tauA, double tauB, double tauA_eff,double tauB_eff, double alpha, double beta,
double Gx, double Gy, double Gz, int strideY, int strideZ, int start, int finish, int Np){
int n,nn,ijk,nread;
int nr1,nr2,nr3,nr4,nr5,nr6;
int nr7,nr8,nr9,nr10;
int nr11,nr12,nr13,nr14;
//int nr15,nr16,nr17,nr18;
double fq;
// conserved momemnts
double rho,jx,jy,jz;
double vx,vy,vz,v_mag;
double ux,uy,uz,u_mag;
// non-conserved moments
double m1,m2,m4,m6,m8,m9,m10,m11,m12,m13,m14,m15,m16,m17,m18;
double m3,m5,m7;
double nA,nB; // number density
double a1,b1,a2,b2,nAB,delta;
double C,nx,ny,nz; //color gradient magnitude and direction
double phi,tau,rho0,rlx_setA,rlx_setB;
double GeoFun=0.0;//geometric function from Guo's PRE 66, 036304 (2002)
double porosity;
double perm;//voxel permeability
double c0, c1; //Guo's model parameters
double tau_eff;
double mu_eff;//kinematic viscosity
double nx_gs,ny_gs,nz_gs;//grey-solid color gradient
double Fx,Fy,Fz;
const double mrt_V1=0.05263157894736842;
const double mrt_V2=0.012531328320802;
const double mrt_V3=0.04761904761904762;
const double mrt_V4=0.004594820384294068;
const double mrt_V5=0.01587301587301587;
const double mrt_V6=0.0555555555555555555555555;
const double mrt_V7=0.02777777777777778;
const double mrt_V8=0.08333333333333333;
const double mrt_V9=0.003341687552213868;
const double mrt_V10=0.003968253968253968;
const double mrt_V11=0.01388888888888889;
const double mrt_V12=0.04166666666666666;
for (n=start; n<finish; n++){
// read the component number densities
nA = Den[n];
nB = Den[Np + n];
porosity = Poros[n];
perm = Perm[n];
nx_gs = GreySolidGrad[n+0*Np];
ny_gs = GreySolidGrad[n+1*Np];
nz_gs = GreySolidGrad[n+2*Np];
// compute phase indicator field
phi=(nA-nB)/(nA+nB);
// local density
rho0=rhoA + 0.5*(1.0-phi)*(rhoB-rhoA);
// local relaxation time
tau=tauA + 0.5*(1.0-phi)*(tauB-tauA);
tau_eff=tauA_eff + 0.5*(1.0-phi)*(tauB_eff-tauA_eff);
rlx_setA = 1.f/tau;
rlx_setB = 8.f*(2.f-rlx_setA)/(8.f-rlx_setA);
mu_eff = (tau_eff-0.5)/3.0;//kinematic viscosity
// Get the 1D index based on regular data layout
ijk = Map[n];
// COMPUTE THE COLOR GRADIENT
//........................................................................
//.................Read Phase Indicator Values............................
//........................................................................
nn = ijk-1; // neighbor index (get convention)
m1 = Phi[nn]; // get neighbor for phi - 1
//........................................................................
nn = ijk+1; // neighbor index (get convention)
m2 = Phi[nn]; // get neighbor for phi - 2
//........................................................................
nn = ijk-strideY; // neighbor index (get convention)
m3 = Phi[nn]; // get neighbor for phi - 3
//........................................................................
nn = ijk+strideY; // neighbor index (get convention)
m4 = Phi[nn]; // get neighbor for phi - 4
//........................................................................
nn = ijk-strideZ; // neighbor index (get convention)
m5 = Phi[nn]; // get neighbor for phi - 5
//........................................................................
nn = ijk+strideZ; // neighbor index (get convention)
m6 = Phi[nn]; // get neighbor for phi - 6
//........................................................................
nn = ijk-strideY-1; // neighbor index (get convention)
m7 = Phi[nn]; // get neighbor for phi - 7
//........................................................................
nn = ijk+strideY+1; // neighbor index (get convention)
m8 = Phi[nn]; // get neighbor for phi - 8
//........................................................................
nn = ijk+strideY-1; // neighbor index (get convention)
m9 = Phi[nn]; // get neighbor for phi - 9
//........................................................................
nn = ijk-strideY+1; // neighbor index (get convention)
m10 = Phi[nn]; // get neighbor for phi - 10
//........................................................................
nn = ijk-strideZ-1; // neighbor index (get convention)
m11 = Phi[nn]; // get neighbor for phi - 11
//........................................................................
nn = ijk+strideZ+1; // neighbor index (get convention)
m12 = Phi[nn]; // get neighbor for phi - 12
//........................................................................
nn = ijk+strideZ-1; // neighbor index (get convention)
m13 = Phi[nn]; // get neighbor for phi - 13
//........................................................................
nn = ijk-strideZ+1; // neighbor index (get convention)
m14 = Phi[nn]; // get neighbor for phi - 14
//........................................................................
nn = ijk-strideZ-strideY; // neighbor index (get convention)
m15 = Phi[nn]; // get neighbor for phi - 15
//........................................................................
nn = ijk+strideZ+strideY; // neighbor index (get convention)
m16 = Phi[nn]; // get neighbor for phi - 16
//........................................................................
nn = ijk+strideZ-strideY; // neighbor index (get convention)
m17 = Phi[nn]; // get neighbor for phi - 17
//........................................................................
nn = ijk-strideZ+strideY; // neighbor index (get convention)
m18 = Phi[nn]; // get neighbor for phi - 18
//............Compute the Color Gradient...................................
nx = -(m1-m2+0.5*(m7-m8+m9-m10+m11-m12+m13-m14));
ny = -(m3-m4+0.5*(m7-m8-m9+m10+m15-m16+m17-m18));
nz = -(m5-m6+0.5*(m11-m12-m13+m14+m15-m16-m17+m18));
//correct the normal color gradient by considering the effect of grey solid
nx += (1.0-porosity)*nx_gs;
ny += (1.0-porosity)*ny_gs;
nz += (1.0-porosity)*nz_gs;
//...........Normalize the Color Gradient.................................
C = sqrt(nx*nx+ny*ny+nz*nz);
double ColorMag = C;
if (C==0.0) ColorMag=1.0;
nx = nx/ColorMag;
ny = ny/ColorMag;
nz = nz/ColorMag;
// q=0
fq = dist[n];
rho = fq;
m1 = -30.0*fq;
m2 = 12.0*fq;
// q=1
//nread = neighborList[n]; // neighbor 2
//fq = dist[nread]; // reading the f1 data into register fq
nr1 = neighborList[n];
fq = dist[nr1]; // reading the f1 data into register fq
rho += fq;
m1 -= 11.0*fq;
m2 -= 4.0*fq;
jx = fq;
m4 = -4.0*fq;
m9 = 2.0*fq;
m10 = -4.0*fq;
// f2 = dist[10*Np+n];
//nread = neighborList[n+Np]; // neighbor 1 ( < 10Np => even part of dist)
//fq = dist[nread]; // reading the f2 data into register fq
nr2 = neighborList[n+Np]; // neighbor 1 ( < 10Np => even part of dist)
fq = dist[nr2]; // reading the f2 data into register fq
rho += fq;
m1 -= 11.0*(fq);
m2 -= 4.0*(fq);
jx -= fq;
m4 += 4.0*(fq);
m9 += 2.0*(fq);
m10 -= 4.0*(fq);
// q=3
//nread = neighborList[n+2*Np]; // neighbor 4
//fq = dist[nread];
nr3 = neighborList[n+2*Np]; // neighbor 4
fq = dist[nr3];
rho += fq;
m1 -= 11.0*fq;
m2 -= 4.0*fq;
jy = fq;
m6 = -4.0*fq;
m9 -= fq;
m10 += 2.0*fq;
m11 = fq;
m12 = -2.0*fq;
// q = 4
//nread = neighborList[n+3*Np]; // neighbor 3
//fq = dist[nread];
nr4 = neighborList[n+3*Np]; // neighbor 3
fq = dist[nr4];
rho+= fq;
m1 -= 11.0*fq;
m2 -= 4.0*fq;
jy -= fq;
m6 += 4.0*fq;
m9 -= fq;
m10 += 2.0*fq;
m11 += fq;
m12 -= 2.0*fq;
// q=5
//nread = neighborList[n+4*Np];
//fq = dist[nread];
nr5 = neighborList[n+4*Np];
fq = dist[nr5];
rho += fq;
m1 -= 11.0*fq;
m2 -= 4.0*fq;
jz = fq;
m8 = -4.0*fq;
m9 -= fq;
m10 += 2.0*fq;
m11 -= fq;
m12 += 2.0*fq;
// q = 6
//nread = neighborList[n+5*Np];
//fq = dist[nread];
nr6 = neighborList[n+5*Np];
fq = dist[nr6];
rho+= fq;
m1 -= 11.0*fq;
m2 -= 4.0*fq;
jz -= fq;
m8 += 4.0*fq;
m9 -= fq;
m10 += 2.0*fq;
m11 -= fq;
m12 += 2.0*fq;
// q=7
//nread = neighborList[n+6*Np];
//fq = dist[nread];
nr7 = neighborList[n+6*Np];
fq = dist[nr7];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jx += fq;
m4 += fq;
jy += fq;
m6 += fq;
m9 += fq;
m10 += fq;
m11 += fq;
m12 += fq;
m13 = fq;
m16 = fq;
m17 = -fq;
// q = 8
//nread = neighborList[n+7*Np];
//fq = dist[nread];
nr8 = neighborList[n+7*Np];
fq = dist[nr8];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jx -= fq;
m4 -= fq;
jy -= fq;
m6 -= fq;
m9 += fq;
m10 += fq;
m11 += fq;
m12 += fq;
m13 += fq;
m16 -= fq;
m17 += fq;
// q=9
//nread = neighborList[n+8*Np];
//fq = dist[nread];
nr9 = neighborList[n+8*Np];
fq = dist[nr9];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jx += fq;
m4 += fq;
jy -= fq;
m6 -= fq;
m9 += fq;
m10 += fq;
m11 += fq;
m12 += fq;
m13 -= fq;
m16 += fq;
m17 += fq;
// q = 10
//nread = neighborList[n+9*Np];
//fq = dist[nread];
nr10 = neighborList[n+9*Np];
fq = dist[nr10];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jx -= fq;
m4 -= fq;
jy += fq;
m6 += fq;
m9 += fq;
m10 += fq;
m11 += fq;
m12 += fq;
m13 -= fq;
m16 -= fq;
m17 -= fq;
// q=11
//nread = neighborList[n+10*Np];
//fq = dist[nread];
nr11 = neighborList[n+10*Np];
fq = dist[nr11];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jx += fq;
m4 += fq;
jz += fq;
m8 += fq;
m9 += fq;
m10 += fq;
m11 -= fq;
m12 -= fq;
m15 = fq;
m16 -= fq;
m18 = fq;
// q=12
//nread = neighborList[n+11*Np];
//fq = dist[nread];
nr12 = neighborList[n+11*Np];
fq = dist[nr12];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jx -= fq;
m4 -= fq;
jz -= fq;
m8 -= fq;
m9 += fq;
m10 += fq;
m11 -= fq;
m12 -= fq;
m15 += fq;
m16 += fq;
m18 -= fq;
// q=13
//nread = neighborList[n+12*Np];
//fq = dist[nread];
nr13 = neighborList[n+12*Np];
fq = dist[nr13];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jx += fq;
m4 += fq;
jz -= fq;
m8 -= fq;
m9 += fq;
m10 += fq;
m11 -= fq;
m12 -= fq;
m15 -= fq;
m16 -= fq;
m18 -= fq;
// q=14
//nread = neighborList[n+13*Np];
//fq = dist[nread];
nr14 = neighborList[n+13*Np];
fq = dist[nr14];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jx -= fq;
m4 -= fq;
jz += fq;
m8 += fq;
m9 += fq;
m10 += fq;
m11 -= fq;
m12 -= fq;
m15 -= fq;
m16 += fq;
m18 += fq;
// q=15
nread = neighborList[n+14*Np];
fq = dist[nread];
//fq = dist[17*Np+n];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jy += fq;
m6 += fq;
jz += fq;
m8 += fq;
m9 -= 2.0*fq;
m10 -= 2.0*fq;
m14 = fq;
m17 += fq;
m18 -= fq;
// q=16
nread = neighborList[n+15*Np];
fq = dist[nread];
//fq = dist[8*Np+n];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jy -= fq;
m6 -= fq;
jz -= fq;
m8 -= fq;
m9 -= 2.0*fq;
m10 -= 2.0*fq;
m14 += fq;
m17 -= fq;
m18 += fq;
// q=17
//fq = dist[18*Np+n];
nread = neighborList[n+16*Np];
fq = dist[nread];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jy += fq;
m6 += fq;
jz -= fq;
m8 -= fq;
m9 -= 2.0*fq;
m10 -= 2.0*fq;
m14 -= fq;
m17 += fq;
m18 += fq;
// q=18
nread = neighborList[n+17*Np];
fq = dist[nread];
//fq = dist[9*Np+n];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jy -= fq;
m6 -= fq;
jz += fq;
m8 += fq;
m9 -= 2.0*fq;
m10 -= 2.0*fq;
m14 -= fq;
m17 -= fq;
m18 -= fq;
// Compute greyscale related parameters
c0 = 0.5*(1.0+porosity*0.5*mu_eff/perm);
if (porosity==1.0) c0 = 0.5;//i.e. apparent pore nodes
//GeoFun = 1.75/sqrt(150.0*porosity*porosity*porosity);
c1 = porosity*0.5*GeoFun/sqrt(perm);
if (porosity==1.0) c1 = 0.0;//i.e. apparent pore nodes
vx = jx/rho0+0.5*(porosity*Gx);
vy = jy/rho0+0.5*(porosity*Gy);
vz = jz/rho0+0.5*(porosity*Gz);
v_mag=sqrt(vx*vx+vy*vy+vz*vz);
ux = vx/(c0+sqrt(c0*c0+c1*v_mag));
uy = vy/(c0+sqrt(c0*c0+c1*v_mag));
uz = vz/(c0+sqrt(c0*c0+c1*v_mag));
u_mag=sqrt(ux*ux+uy*uy+uz*uz);
//Update the total force to include linear (Darcy) and nonlinear (Forchheimer) drags due to the porous medium
Fx = rho0*(-porosity*mu_eff/perm*ux - porosity*GeoFun/sqrt(perm)*u_mag*ux + porosity*Gx);
Fy = rho0*(-porosity*mu_eff/perm*uy - porosity*GeoFun/sqrt(perm)*u_mag*uy + porosity*Gy);
Fz = rho0*(-porosity*mu_eff/perm*uz - porosity*GeoFun/sqrt(perm)*u_mag*uz + porosity*Gz);
if (porosity==1.0){
Fx=rho0*(Gx);
Fy=rho0*(Gy);
Fz=rho0*(Gz);
}
// write the velocity
Velocity[n] = ux;
Velocity[Np+n] = uy;
Velocity[2*Np+n] = uz;
//........................................................................
//..............carry out relaxation process..............................
//..........Toelke, Fruediger et. al. 2006................................
if (C == 0.0) nx = ny = nz = 0.0;
m1 = m1 + rlx_setA*((19*(ux*ux+uy*uy+uz*uz)*rho0/porosity - 11*rho) -19*alpha*C - m1);
m2 = m2 + rlx_setA*((3*rho - 5.5*(ux*ux+uy*uy+uz*uz)*rho0/porosity)- m2);
jx = jx + Fx;
m4 = m4 + rlx_setB*((-0.6666666666666666*ux*rho0)- m4)
+ (1-0.5*rlx_setB)*(-0.6666666666666666*Fx);
jy = jy + Fy;
m6 = m6 + rlx_setB*((-0.6666666666666666*uy*rho0)- m6)
+ (1-0.5*rlx_setB)*(-0.6666666666666666*Fy);
jz = jz + Fz;
m8 = m8 + rlx_setB*((-0.6666666666666666*uz*rho0)- m8)
+ (1-0.5*rlx_setB)*(-0.6666666666666666*Fz);
m9 = m9 + rlx_setA*(((2*ux*ux-uy*uy-uz*uz)*rho0/porosity) + 0.5*alpha*C*(2*nx*nx-ny*ny-nz*nz) - m9);
m10 = m10 + rlx_setA*( - m10);
//m10 = m10 + rlx_setA*(-0.5*rho0*((2*ux*ux-uy*uy-uz*uz)/porosity)- m10);
m11 = m11 + rlx_setA*(((uy*uy-uz*uz)*rho0/porosity) + 0.5*alpha*C*(ny*ny-nz*nz)- m11);
m12 = m12 + rlx_setA*( - m12);
//m12 = m12 + rlx_setA*(-0.5*(rho0*(uy*uy-uz*uz)/porosity)- m12);
m13 = m13 + rlx_setA*( (ux*uy*rho0/porosity) + 0.5*alpha*C*nx*ny - m13);
m14 = m14 + rlx_setA*( (uy*uz*rho0/porosity) + 0.5*alpha*C*ny*nz - m14);
m15 = m15 + rlx_setA*( (ux*uz*rho0/porosity) + 0.5*alpha*C*nx*nz - m15);
m16 = m16 + rlx_setB*( - m16);
m17 = m17 + rlx_setB*( - m17);
m18 = m18 + rlx_setB*( - m18);
//.................inverse transformation......................................................
// q=0
fq = mrt_V1*rho-mrt_V2*m1+mrt_V3*m2;
dist[n] = fq;
// q = 1
fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(jx-m4)+mrt_V6*(m9-m10);
//nread = neighborList[n+Np];
dist[nr2] = fq;
// q=2
fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(m4-jx)+mrt_V6*(m9-m10);
//nread = neighborList[n];
dist[nr1] = fq;
// q = 3
fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(jy-m6)+mrt_V7*(m10-m9)+mrt_V8*(m11-m12);
//nread = neighborList[n+3*Np];
dist[nr4] = fq;
// q = 4
fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(m6-jy)+mrt_V7*(m10-m9)+mrt_V8*(m11-m12);
//nread = neighborList[n+2*Np];
dist[nr3] = fq;
// q = 5
fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(jz-m8)+mrt_V7*(m10-m9)+mrt_V8*(m12-m11);
//nread = neighborList[n+5*Np];
dist[nr6] = fq;
// q = 6
fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(m8-jz)+mrt_V7*(m10-m9)+mrt_V8*(m12-m11);
//nread = neighborList[n+4*Np];
dist[nr5] = fq;
// q = 7
fq = mrt_V1*rho+mrt_V9*m1+mrt_V10*m2+0.1*(jx+jy)+0.025*(m4+m6)+
mrt_V7*m9+mrt_V11*m10+mrt_V8*m11+mrt_V12*m12+0.25*m13+0.125*(m16-m17);
//nread = neighborList[n+7*Np];
dist[nr8] = fq;
// q = 8
fq = mrt_V1*rho+mrt_V9*m1+mrt_V10*m2-0.1*(jx+jy)-0.025*(m4+m6) +mrt_V7*m9+mrt_V11*m10+mrt_V8*m11
+mrt_V12*m12+0.25*m13+0.125*(m17-m16);
//nread = neighborList[n+6*Np];
dist[nr7] = fq;
// q = 9
fq = mrt_V1*rho+mrt_V9*m1+mrt_V10*m2+0.1*(jx-jy)+0.025*(m4-m6)+
mrt_V7*m9+mrt_V11*m10+mrt_V8*m11+mrt_V12*m12-0.25*m13+0.125*(m16+m17);
//nread = neighborList[n+9*Np];
dist[nr10] = fq;
// q = 10
fq = mrt_V1*rho+mrt_V9*m1+mrt_V10*m2+0.1*(jy-jx)+0.025*(m6-m4)+
mrt_V7*m9+mrt_V11*m10+mrt_V8*m11+mrt_V12*m12-0.25*m13-0.125*(m16+m17);
//nread = neighborList[n+8*Np];
dist[nr9] = fq;
// q = 11
fq = mrt_V1*rho+mrt_V9*m1
+mrt_V10*m2+0.1*(jx+jz)+0.025*(m4+m8)
+mrt_V7*m9+mrt_V11*m10-mrt_V8*m11
-mrt_V12*m12+0.25*m15+0.125*(m18-m16);
//nread = neighborList[n+11*Np];
dist[nr12] = fq;
// q = 12
fq = mrt_V1*rho+mrt_V9*m1+mrt_V10*m2-0.1*(jx+jz)-0.025*(m4+m8)+
mrt_V7*m9+mrt_V11*m10-mrt_V8*m11-mrt_V12*m12+0.25*m15+0.125*(m16-m18);
//nread = neighborList[n+10*Np];
dist[nr11]= fq;
// q = 13
fq = mrt_V1*rho+mrt_V9*m1
+mrt_V10*m2+0.1*(jx-jz)+0.025*(m4-m8)
+mrt_V7*m9+mrt_V11*m10-mrt_V8*m11
-mrt_V12*m12-0.25*m15-0.125*(m16+m18);
//nread = neighborList[n+13*Np];
dist[nr14] = fq;
// q= 14
fq = mrt_V1*rho+mrt_V9*m1
+mrt_V10*m2+0.1*(jz-jx)+0.025*(m8-m4)
+mrt_V7*m9+mrt_V11*m10-mrt_V8*m11
-mrt_V12*m12-0.25*m15+0.125*(m16+m18);
//nread = neighborList[n+12*Np];
dist[nr13] = fq;
// q = 15
fq = mrt_V1*rho+mrt_V9*m1
+mrt_V10*m2+0.1*(jy+jz)+0.025*(m6+m8)
-mrt_V6*m9-mrt_V7*m10+0.25*m14+0.125*(m17-m18);
nread = neighborList[n+15*Np];
dist[nread] = fq;
// q = 16
fq = mrt_V1*rho+mrt_V9*m1
+mrt_V10*m2-0.1*(jy+jz)-0.025*(m6+m8)
-mrt_V6*m9-mrt_V7*m10+0.25*m14+0.125*(m18-m17);
nread = neighborList[n+14*Np];
dist[nread] = fq;
// q = 17
fq = mrt_V1*rho+mrt_V9*m1
+mrt_V10*m2+0.1*(jy-jz)+0.025*(m6-m8)
-mrt_V6*m9-mrt_V7*m10-0.25*m14+0.125*(m17+m18);
nread = neighborList[n+17*Np];
dist[nread] = fq;
// q = 18
fq = mrt_V1*rho+mrt_V9*m1
+mrt_V10*m2+0.1*(jz-jy)+0.025*(m8-m6)
-mrt_V6*m9-mrt_V7*m10-0.25*m14-0.125*(m17+m18);
nread = neighborList[n+16*Np];
dist[nread] = fq;
//........................................................................
// Instantiate mass transport distributions
// Stationary value - distribution 0
nAB = 1.0/(nA+nB);
Aq[n] = 0.3333333333333333*nA;
Bq[n] = 0.3333333333333333*nB;
//...............................................
// q = 0,2,4
// Cq = {1,0,0}, {0,1,0}, {0,0,1}
delta = beta*nA*nB*nAB*0.1111111111111111*nx;
if (!(nA*nB*nAB>0)) delta=0;
a1 = nA*(0.1111111111111111*(1+4.5*ux))+delta;
b1 = nB*(0.1111111111111111*(1+4.5*ux))-delta;
a2 = nA*(0.1111111111111111*(1-4.5*ux))-delta;
b2 = nB*(0.1111111111111111*(1-4.5*ux))+delta;
// q = 1
//nread = neighborList[n+Np];
Aq[nr2] = a1;
Bq[nr2] = b1;
// q=2
//nread = neighborList[n];
Aq[nr1] = a2;
Bq[nr1] = b2;
//...............................................
// Cq = {0,1,0}
delta = beta*nA*nB*nAB*0.1111111111111111*ny;
if (!(nA*nB*nAB>0)) delta=0;
a1 = nA*(0.1111111111111111*(1+4.5*uy))+delta;
b1 = nB*(0.1111111111111111*(1+4.5*uy))-delta;
a2 = nA*(0.1111111111111111*(1-4.5*uy))-delta;
b2 = nB*(0.1111111111111111*(1-4.5*uy))+delta;
// q = 3
//nread = neighborList[n+3*Np];
Aq[nr4] = a1;
Bq[nr4] = b1;
// q = 4
//nread = neighborList[n+2*Np];
Aq[nr3] = a2;
Bq[nr3] = b2;
//...............................................
// q = 4
// Cq = {0,0,1}
delta = beta*nA*nB*nAB*0.1111111111111111*nz;
if (!(nA*nB*nAB>0)) delta=0;
a1 = nA*(0.1111111111111111*(1+4.5*uz))+delta;
b1 = nB*(0.1111111111111111*(1+4.5*uz))-delta;
a2 = nA*(0.1111111111111111*(1-4.5*uz))-delta;
b2 = nB*(0.1111111111111111*(1-4.5*uz))+delta;
// q = 5
//nread = neighborList[n+5*Np];
Aq[nr6] = a1;
Bq[nr6] = b1;
// q = 6
//nread = neighborList[n+4*Np];
Aq[nr5] = a2;
Bq[nr5] = b2;
//...............................................
}
}
extern "C" void ScaLBL_D3Q19_AAeven_GreyscaleColor(int *Map, double *dist, double *Aq, double *Bq, double *Den,
double *Phi,double *GreySolidGrad, double *Poros,double *Perm,double *Velocity,
double rhoA, double rhoB, double tauA, double tauB,double tauA_eff,double tauB_eff, double alpha, double beta,
double Gx, double Gy, double Gz, int strideY, int strideZ, int start, int finish, int Np){
int ijk,nn,n;
double fq;
// conserved momemnts
double rho,jx,jy,jz;
double vx,vy,vz,v_mag;
double ux,uy,uz,u_mag;
// non-conserved moments
double m1,m2,m4,m6,m8,m9,m10,m11,m12,m13,m14,m15,m16,m17,m18;
double m3,m5,m7;
double nA,nB; // number density
double a1,b1,a2,b2,nAB,delta;
double C,nx,ny,nz; //color gradient magnitude and direction
double phi,tau,rho0,rlx_setA,rlx_setB;
double GeoFun=0.0;//geometric function from Guo's PRE 66, 036304 (2002)
double porosity;
double perm;//voxel permeability
double c0, c1; //Guo's model parameters
double tau_eff;
double mu_eff;//kinematic viscosity
double nx_gs,ny_gs,nz_gs;//grey-solid color gradient
double Fx,Fy,Fz;
const double mrt_V1=0.05263157894736842;
const double mrt_V2=0.012531328320802;
const double mrt_V3=0.04761904761904762;
const double mrt_V4=0.004594820384294068;
const double mrt_V5=0.01587301587301587;
const double mrt_V6=0.0555555555555555555555555;
const double mrt_V7=0.02777777777777778;
const double mrt_V8=0.08333333333333333;
const double mrt_V9=0.003341687552213868;
const double mrt_V10=0.003968253968253968;
const double mrt_V11=0.01388888888888889;
const double mrt_V12=0.04166666666666666;
for (n=start; n<finish; n++){
// read the component number densities
nA = Den[n];
nB = Den[Np + n];
porosity = Poros[n];
perm = Perm[n];
nx_gs = GreySolidGrad[n+0*Np];
ny_gs = GreySolidGrad[n+1*Np];
nz_gs = GreySolidGrad[n+2*Np];
// compute phase indicator field
phi=(nA-nB)/(nA+nB);
// local density
rho0=rhoA + 0.5*(1.0-phi)*(rhoB-rhoA);
// local relaxation time
tau=tauA + 0.5*(1.0-phi)*(tauB-tauA);
tau_eff=tauA_eff + 0.5*(1.0-phi)*(tauB_eff-tauA_eff);
rlx_setA = 1.f/tau;
rlx_setB = 8.f*(2.f-rlx_setA)/(8.f-rlx_setA);
mu_eff = (tau_eff-0.5)/3.0;//kinematic viscosity
// Get the 1D index based on regular data layout
ijk = Map[n];
// COMPUTE THE COLOR GRADIENT
//........................................................................
//.................Read Phase Indicator Values............................
//........................................................................
nn = ijk-1; // neighbor index (get convention)
m1 = Phi[nn]; // get neighbor for phi - 1
//........................................................................
nn = ijk+1; // neighbor index (get convention)
m2 = Phi[nn]; // get neighbor for phi - 2
//........................................................................
nn = ijk-strideY; // neighbor index (get convention)
m3 = Phi[nn]; // get neighbor for phi - 3
//........................................................................
nn = ijk+strideY; // neighbor index (get convention)
m4 = Phi[nn]; // get neighbor for phi - 4
//........................................................................
nn = ijk-strideZ; // neighbor index (get convention)
m5 = Phi[nn]; // get neighbor for phi - 5
//........................................................................
nn = ijk+strideZ; // neighbor index (get convention)
m6 = Phi[nn]; // get neighbor for phi - 6
//........................................................................
nn = ijk-strideY-1; // neighbor index (get convention)
m7 = Phi[nn]; // get neighbor for phi - 7
//........................................................................
nn = ijk+strideY+1; // neighbor index (get convention)
m8 = Phi[nn]; // get neighbor for phi - 8
//........................................................................
nn = ijk+strideY-1; // neighbor index (get convention)
m9 = Phi[nn]; // get neighbor for phi - 9
//........................................................................
nn = ijk-strideY+1; // neighbor index (get convention)
m10 = Phi[nn]; // get neighbor for phi - 10
//........................................................................
nn = ijk-strideZ-1; // neighbor index (get convention)
m11 = Phi[nn]; // get neighbor for phi - 11
//........................................................................
nn = ijk+strideZ+1; // neighbor index (get convention)
m12 = Phi[nn]; // get neighbor for phi - 12
//........................................................................
nn = ijk+strideZ-1; // neighbor index (get convention)
m13 = Phi[nn]; // get neighbor for phi - 13
//........................................................................
nn = ijk-strideZ+1; // neighbor index (get convention)
m14 = Phi[nn]; // get neighbor for phi - 14
//........................................................................
nn = ijk-strideZ-strideY; // neighbor index (get convention)
m15 = Phi[nn]; // get neighbor for phi - 15
//........................................................................
nn = ijk+strideZ+strideY; // neighbor index (get convention)
m16 = Phi[nn]; // get neighbor for phi - 16
//........................................................................
nn = ijk+strideZ-strideY; // neighbor index (get convention)
m17 = Phi[nn]; // get neighbor for phi - 17
//........................................................................
nn = ijk-strideZ+strideY; // neighbor index (get convention)
m18 = Phi[nn]; // get neighbor for phi - 18
//............Compute the Color Gradient...................................
nx = -(m1-m2+0.5*(m7-m8+m9-m10+m11-m12+m13-m14));
ny = -(m3-m4+0.5*(m7-m8-m9+m10+m15-m16+m17-m18));
nz = -(m5-m6+0.5*(m11-m12-m13+m14+m15-m16-m17+m18));
//correct the normal color gradient by considering the effect of grey solid
nx += (1.0-porosity)*nx_gs;
ny += (1.0-porosity)*ny_gs;
nz += (1.0-porosity)*nz_gs;
//...........Normalize the Color Gradient.................................
C = sqrt(nx*nx+ny*ny+nz*nz);
double ColorMag = C;
if (C==0.0) ColorMag=1.0;
nx = nx/ColorMag;
ny = ny/ColorMag;
nz = nz/ColorMag;
// q=0
fq = dist[n];
rho = fq;
m1 = -30.0*fq;
m2 = 12.0*fq;
// q=1
fq = dist[2*Np+n];
rho += fq;
m1 -= 11.0*fq;
m2 -= 4.0*fq;
jx = fq;
m4 = -4.0*fq;
m9 = 2.0*fq;
m10 = -4.0*fq;
// f2 = dist[10*Np+n];
fq = dist[1*Np+n];
rho += fq;
m1 -= 11.0*(fq);
m2 -= 4.0*(fq);
jx -= fq;
m4 += 4.0*(fq);
m9 += 2.0*(fq);
m10 -= 4.0*(fq);
// q=3
fq = dist[4*Np+n];
rho += fq;
m1 -= 11.0*fq;
m2 -= 4.0*fq;
jy = fq;
m6 = -4.0*fq;
m9 -= fq;
m10 += 2.0*fq;
m11 = fq;
m12 = -2.0*fq;
// q = 4
fq = dist[3*Np+n];
rho+= fq;
m1 -= 11.0*fq;
m2 -= 4.0*fq;
jy -= fq;
m6 += 4.0*fq;
m9 -= fq;
m10 += 2.0*fq;
m11 += fq;
m12 -= 2.0*fq;
// q=5
fq = dist[6*Np+n];
rho += fq;
m1 -= 11.0*fq;
m2 -= 4.0*fq;
jz = fq;
m8 = -4.0*fq;
m9 -= fq;
m10 += 2.0*fq;
m11 -= fq;
m12 += 2.0*fq;
// q = 6
fq = dist[5*Np+n];
rho+= fq;
m1 -= 11.0*fq;
m2 -= 4.0*fq;
jz -= fq;
m8 += 4.0*fq;
m9 -= fq;
m10 += 2.0*fq;
m11 -= fq;
m12 += 2.0*fq;
// q=7
fq = dist[8*Np+n];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jx += fq;
m4 += fq;
jy += fq;
m6 += fq;
m9 += fq;
m10 += fq;
m11 += fq;
m12 += fq;
m13 = fq;
m16 = fq;
m17 = -fq;
// q = 8
fq = dist[7*Np+n];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jx -= fq;
m4 -= fq;
jy -= fq;
m6 -= fq;
m9 += fq;
m10 += fq;
m11 += fq;
m12 += fq;
m13 += fq;
m16 -= fq;
m17 += fq;
// q=9
fq = dist[10*Np+n];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jx += fq;
m4 += fq;
jy -= fq;
m6 -= fq;
m9 += fq;
m10 += fq;
m11 += fq;
m12 += fq;
m13 -= fq;
m16 += fq;
m17 += fq;
// q = 10
fq = dist[9*Np+n];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jx -= fq;
m4 -= fq;
jy += fq;
m6 += fq;
m9 += fq;
m10 += fq;
m11 += fq;
m12 += fq;
m13 -= fq;
m16 -= fq;
m17 -= fq;
// q=11
fq = dist[12*Np+n];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jx += fq;
m4 += fq;
jz += fq;
m8 += fq;
m9 += fq;
m10 += fq;
m11 -= fq;
m12 -= fq;
m15 = fq;
m16 -= fq;
m18 = fq;
// q=12
fq = dist[11*Np+n];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jx -= fq;
m4 -= fq;
jz -= fq;
m8 -= fq;
m9 += fq;
m10 += fq;
m11 -= fq;
m12 -= fq;
m15 += fq;
m16 += fq;
m18 -= fq;
// q=13
fq = dist[14*Np+n];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jx += fq;
m4 += fq;
jz -= fq;
m8 -= fq;
m9 += fq;
m10 += fq;
m11 -= fq;
m12 -= fq;
m15 -= fq;
m16 -= fq;
m18 -= fq;
// q=14
fq = dist[13*Np+n];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jx -= fq;
m4 -= fq;
jz += fq;
m8 += fq;
m9 += fq;
m10 += fq;
m11 -= fq;
m12 -= fq;
m15 -= fq;
m16 += fq;
m18 += fq;
// q=15
fq = dist[16*Np+n];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jy += fq;
m6 += fq;
jz += fq;
m8 += fq;
m9 -= 2.0*fq;
m10 -= 2.0*fq;
m14 = fq;
m17 += fq;
m18 -= fq;
// q=16
fq = dist[15*Np+n];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jy -= fq;
m6 -= fq;
jz -= fq;
m8 -= fq;
m9 -= 2.0*fq;
m10 -= 2.0*fq;
m14 += fq;
m17 -= fq;
m18 += fq;
// q=17
fq = dist[18*Np+n];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jy += fq;
m6 += fq;
jz -= fq;
m8 -= fq;
m9 -= 2.0*fq;
m10 -= 2.0*fq;
m14 -= fq;
m17 += fq;
m18 += fq;
// q=18
fq = dist[17*Np+n];
rho += fq;
m1 += 8.0*fq;
m2 += fq;
jy -= fq;
m6 -= fq;
jz += fq;
m8 += fq;
m9 -= 2.0*fq;
m10 -= 2.0*fq;
m14 -= fq;
m17 -= fq;
m18 -= fq;
// Compute greyscale related parameters
c0 = 0.5*(1.0+porosity*0.5*mu_eff/perm);
if (porosity==1.0) c0 = 0.5;//i.e. apparent pore nodes
//GeoFun = 1.75/sqrt(150.0*porosity*porosity*porosity);
c1 = porosity*0.5*GeoFun/sqrt(perm);
if (porosity==1.0) c1 = 0.0;//i.e. apparent pore nodes
vx = jx/rho0+0.5*(porosity*Gx);
vy = jy/rho0+0.5*(porosity*Gy);
vz = jz/rho0+0.5*(porosity*Gz);
v_mag=sqrt(vx*vx+vy*vy+vz*vz);
ux = vx/(c0+sqrt(c0*c0+c1*v_mag));
uy = vy/(c0+sqrt(c0*c0+c1*v_mag));
uz = vz/(c0+sqrt(c0*c0+c1*v_mag));
u_mag=sqrt(ux*ux+uy*uy+uz*uz);
//Update the total force to include linear (Darcy) and nonlinear (Forchheimer) drags due to the porous medium
Fx = rho0*(-porosity*mu_eff/perm*ux - porosity*GeoFun/sqrt(perm)*u_mag*ux + porosity*Gx);
Fy = rho0*(-porosity*mu_eff/perm*uy - porosity*GeoFun/sqrt(perm)*u_mag*uy + porosity*Gy);
Fz = rho0*(-porosity*mu_eff/perm*uz - porosity*GeoFun/sqrt(perm)*u_mag*uz + porosity*Gz);
if (porosity==1.0){
Fx=rho0*(Gx);
Fy=rho0*(Gy);
Fz=rho0*(Gz);
}
// write the velocity
Velocity[n] = ux;
Velocity[Np+n] = uy;
Velocity[2*Np+n] = uz;
//........................................................................
//..............carry out relaxation process..............................
//..........Toelke, Fruediger et. al. 2006................................
if (C == 0.0) nx = ny = nz = 0.0;
m1 = m1 + rlx_setA*((19*(ux*ux+uy*uy+uz*uz)*rho0/porosity - 11*rho) -19*alpha*C - m1);
m2 = m2 + rlx_setA*((3*rho - 5.5*(ux*ux+uy*uy+uz*uz)*rho0/porosity)- m2);
jx = jx + Fx;
m4 = m4 + rlx_setB*((-0.6666666666666666*ux*rho0)- m4)
+ (1-0.5*rlx_setB)*(-0.6666666666666666*Fx);
jy = jy + Fy;
m6 = m6 + rlx_setB*((-0.6666666666666666*uy*rho0)- m6)
+ (1-0.5*rlx_setB)*(-0.6666666666666666*Fy);
jz = jz + Fz;
m8 = m8 + rlx_setB*((-0.6666666666666666*uz*rho0)- m8)
+ (1-0.5*rlx_setB)*(-0.6666666666666666*Fz);
m9 = m9 + rlx_setA*(((2*ux*ux-uy*uy-uz*uz)*rho0/porosity) + 0.5*alpha*C*(2*nx*nx-ny*ny-nz*nz) - m9);
m10 = m10 + rlx_setA*( - m10);
//m10 = m10 + rlx_setA*(-0.5*rho0*((2*ux*ux-uy*uy-uz*uz)/porosity)- m10);
m11 = m11 + rlx_setA*(((uy*uy-uz*uz)*rho0/porosity) + 0.5*alpha*C*(ny*ny-nz*nz)- m11);
m12 = m12 + rlx_setA*( - m12);
//m12 = m12 + rlx_setA*(-0.5*(rho0*(uy*uy-uz*uz)/porosity)- m12);
m13 = m13 + rlx_setA*( (ux*uy*rho0/porosity) + 0.5*alpha*C*nx*ny - m13);
m14 = m14 + rlx_setA*( (uy*uz*rho0/porosity) + 0.5*alpha*C*ny*nz - m14);
m15 = m15 + rlx_setA*( (ux*uz*rho0/porosity) + 0.5*alpha*C*nx*nz - m15);
m16 = m16 + rlx_setB*( - m16);
m17 = m17 + rlx_setB*( - m17);
m18 = m18 + rlx_setB*( - m18);
//.................inverse transformation......................................................
// q=0
fq = mrt_V1*rho-mrt_V2*m1+mrt_V3*m2;
dist[n] = fq;
// q = 1
fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(jx-m4)+mrt_V6*(m9-m10);
dist[1*Np+n] = fq;
// q=2
fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(m4-jx)+mrt_V6*(m9-m10);
dist[2*Np+n] = fq;
// q = 3
fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(jy-m6)+mrt_V7*(m10-m9)+mrt_V8*(m11-m12);
dist[3*Np+n] = fq;
// q = 4
fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(m6-jy)+mrt_V7*(m10-m9)+mrt_V8*(m11-m12);
dist[4*Np+n] = fq;
// q = 5
fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(jz-m8)+mrt_V7*(m10-m9)+mrt_V8*(m12-m11);
dist[5*Np+n] = fq;
// q = 6
fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(m8-jz)+mrt_V7*(m10-m9)+mrt_V8*(m12-m11);
dist[6*Np+n] = fq;
// q = 7
fq = mrt_V1*rho+mrt_V9*m1+mrt_V10*m2+0.1*(jx+jy)+0.025*(m4+m6)+
mrt_V7*m9+mrt_V11*m10+mrt_V8*m11+mrt_V12*m12+0.25*m13+0.125*(m16-m17);
dist[7*Np+n] = fq;
// q = 8
fq = mrt_V1*rho+mrt_V9*m1+mrt_V10*m2-0.1*(jx+jy)-0.025*(m4+m6) +mrt_V7*m9+mrt_V11*m10+mrt_V8*m11
+mrt_V12*m12+0.25*m13+0.125*(m17-m16);
dist[8*Np+n] = fq;
// q = 9
fq = mrt_V1*rho+mrt_V9*m1+mrt_V10*m2+0.1*(jx-jy)+0.025*(m4-m6)+
mrt_V7*m9+mrt_V11*m10+mrt_V8*m11+mrt_V12*m12-0.25*m13+0.125*(m16+m17);
dist[9*Np+n] = fq;
// q = 10
fq = mrt_V1*rho+mrt_V9*m1+mrt_V10*m2+0.1*(jy-jx)+0.025*(m6-m4)+
mrt_V7*m9+mrt_V11*m10+mrt_V8*m11+mrt_V12*m12-0.25*m13-0.125*(m16+m17);
dist[10*Np+n] = fq;
// q = 11
fq = mrt_V1*rho+mrt_V9*m1
+mrt_V10*m2+0.1*(jx+jz)+0.025*(m4+m8)
+mrt_V7*m9+mrt_V11*m10-mrt_V8*m11
-mrt_V12*m12+0.25*m15+0.125*(m18-m16);
dist[11*Np+n] = fq;
// q = 12
fq = mrt_V1*rho+mrt_V9*m1+mrt_V10*m2-0.1*(jx+jz)-0.025*(m4+m8)+
mrt_V7*m9+mrt_V11*m10-mrt_V8*m11-mrt_V12*m12+0.25*m15+0.125*(m16-m18);
dist[12*Np+n] = fq;
// q = 13
fq = mrt_V1*rho+mrt_V9*m1
+mrt_V10*m2+0.1*(jx-jz)+0.025*(m4-m8)
+mrt_V7*m9+mrt_V11*m10-mrt_V8*m11
-mrt_V12*m12-0.25*m15-0.125*(m16+m18);
dist[13*Np+n] = fq;
// q= 14
fq = mrt_V1*rho+mrt_V9*m1
+mrt_V10*m2+0.1*(jz-jx)+0.025*(m8-m4)
+mrt_V7*m9+mrt_V11*m10-mrt_V8*m11
-mrt_V12*m12-0.25*m15+0.125*(m16+m18);
dist[14*Np+n] = fq;
// q = 15
fq = mrt_V1*rho+mrt_V9*m1
+mrt_V10*m2+0.1*(jy+jz)+0.025*(m6+m8)
-mrt_V6*m9-mrt_V7*m10+0.25*m14+0.125*(m17-m18);
dist[15*Np+n] = fq;
// q = 16
fq = mrt_V1*rho+mrt_V9*m1
+mrt_V10*m2-0.1*(jy+jz)-0.025*(m6+m8)
-mrt_V6*m9-mrt_V7*m10+0.25*m14+0.125*(m18-m17);
dist[16*Np+n] = fq;
// q = 17
fq = mrt_V1*rho+mrt_V9*m1
+mrt_V10*m2+0.1*(jy-jz)+0.025*(m6-m8)
-mrt_V6*m9-mrt_V7*m10-0.25*m14+0.125*(m17+m18);
dist[17*Np+n] = fq;
// q = 18
fq = mrt_V1*rho+mrt_V9*m1
+mrt_V10*m2+0.1*(jz-jy)+0.025*(m8-m6)
-mrt_V6*m9-mrt_V7*m10-0.25*m14-0.125*(m17+m18);
dist[18*Np+n] = fq;
//........................................................................
// Instantiate mass transport distributions
// Stationary value - distribution 0
nAB = 1.0/(nA+nB);
Aq[n] = 0.3333333333333333*nA;
Bq[n] = 0.3333333333333333*nB;
//...............................................
// q = 0,2,4
// Cq = {1,0,0}, {0,1,0}, {0,0,1}
delta = beta*nA*nB*nAB*0.1111111111111111*nx;
if (!(nA*nB*nAB>0)) delta=0;
a1 = nA*(0.1111111111111111*(1+4.5*ux))+delta;
b1 = nB*(0.1111111111111111*(1+4.5*ux))-delta;
a2 = nA*(0.1111111111111111*(1-4.5*ux))-delta;
b2 = nB*(0.1111111111111111*(1-4.5*ux))+delta;
Aq[1*Np+n] = a1;
Bq[1*Np+n] = b1;
Aq[2*Np+n] = a2;
Bq[2*Np+n] = b2;
//...............................................
// q = 2
// Cq = {0,1,0}
delta = beta*nA*nB*nAB*0.1111111111111111*ny;
if (!(nA*nB*nAB>0)) delta=0;
a1 = nA*(0.1111111111111111*(1+4.5*uy))+delta;
b1 = nB*(0.1111111111111111*(1+4.5*uy))-delta;
a2 = nA*(0.1111111111111111*(1-4.5*uy))-delta;
b2 = nB*(0.1111111111111111*(1-4.5*uy))+delta;
Aq[3*Np+n] = a1;
Bq[3*Np+n] = b1;
Aq[4*Np+n] = a2;
Bq[4*Np+n] = b2;
//...............................................
// q = 4
// Cq = {0,0,1}
delta = beta*nA*nB*nAB*0.1111111111111111*nz;
if (!(nA*nB*nAB>0)) delta=0;
a1 = nA*(0.1111111111111111*(1+4.5*uz))+delta;
b1 = nB*(0.1111111111111111*(1+4.5*uz))-delta;
a2 = nA*(0.1111111111111111*(1-4.5*uz))-delta;
b2 = nB*(0.1111111111111111*(1-4.5*uz))+delta;
Aq[5*Np+n] = a1;
Bq[5*Np+n] = b1;
Aq[6*Np+n] = a2;
Bq[6*Np+n] = b2;
//...............................................
}
}
//extern "C" void ScaLBL_D3Q19_GreyscaleColor_Init(double *dist, double *Porosity, int Np){
// int n;
// double porosity;
// for (n=0; n<Np; n++){
// porosity = Porosity[n];
// if (porosity==0.0) porosity=1.f;
// dist[n] = 0.3333333333333333/porosity;
// dist[Np+n] = 0.055555555555555555/porosity; //double(100*n)+1.f;
// dist[2*Np+n] = 0.055555555555555555/porosity; //double(100*n)+2.f;
// dist[3*Np+n] = 0.055555555555555555/porosity; //double(100*n)+3.f;
// dist[4*Np+n] = 0.055555555555555555/porosity; //double(100*n)+4.f;
// dist[5*Np+n] = 0.055555555555555555/porosity; //double(100*n)+5.f;
// dist[6*Np+n] = 0.055555555555555555/porosity; //double(100*n)+6.f;
// dist[7*Np+n] = 0.0277777777777778/porosity; //double(100*n)+7.f;
// dist[8*Np+n] = 0.0277777777777778/porosity; //double(100*n)+8.f;
// dist[9*Np+n] = 0.0277777777777778/porosity; //double(100*n)+9.f;
// dist[10*Np+n] = 0.0277777777777778/porosity; //double(100*n)+10.f;
// dist[11*Np+n] = 0.0277777777777778/porosity; //double(100*n)+11.f;
// dist[12*Np+n] = 0.0277777777777778/porosity; //double(100*n)+12.f;
// dist[13*Np+n] = 0.0277777777777778/porosity; //double(100*n)+13.f;
// dist[14*Np+n] = 0.0277777777777778/porosity; //double(100*n)+14.f;
// dist[15*Np+n] = 0.0277777777777778/porosity; //double(100*n)+15.f;
// dist[16*Np+n] = 0.0277777777777778/porosity; //double(100*n)+16.f;
// dist[17*Np+n] = 0.0277777777777778/porosity; //double(100*n)+17.f;
// dist[18*Np+n] = 0.0277777777777778/porosity; //double(100*n)+18.f;
// }
//}
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