3093 lines
96 KiB
Plaintext
3093 lines
96 KiB
Plaintext
/*
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Copyright 2013--2018 James E. McClure, Virginia Polytechnic & State University
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Copyright Equnior ASA
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This file is part of the Open Porous Media project (OPM).
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OPM is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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OPM is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with OPM. If not, see <http://www.gnu.org/licenses/>.
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*/
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#include <stdio.h>
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#include <math.h>
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#define NBLOCKS 1024
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#define NTHREADS 256
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//Model-1 & 4
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__global__ void dvc_ScaLBL_D3Q19_AAodd_GreyscaleColor(int *neighborList, int *Map, double *dist, double *Aq, double *Bq, double *Den,
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double *Phi, double *GreySolidGrad, double *Poros,double *Perm, double *Velocity, double *Pressure,
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double rhoA, double rhoB, double tauA, double tauB,double tauA_eff,double tauB_eff,double alpha, double beta,
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double Gx, double Gy, double Gz, int strideY, int strideZ, int start, int finish, int Np){
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int n,nn,ijk,nread;
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int nr1,nr2,nr3,nr4,nr5,nr6;
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int nr7,nr8,nr9,nr10;
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int nr11,nr12,nr13,nr14;
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//int nr15,nr16,nr17,nr18;
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double fq;
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// conserved momemnts
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double rho,jx,jy,jz;
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double vx,vy,vz,v_mag;
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double ux,uy,uz,u_mag;
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// non-conserved moments
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double m1,m2,m4,m6,m8,m9,m10,m11,m12,m13,m14,m15,m16,m17,m18;
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double m3,m5,m7;
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double nA,nB; // number density
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double a1,b1,a2,b2,nAB,delta;
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double C,nx,ny,nz; //color gradient magnitude and direction
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double phi,tau,rho0,rlx_setA,rlx_setB;
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double GeoFun=0.0;//geometric function from Guo's PRE 66, 036304 (2002)
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double porosity;
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double perm;//voxel permeability
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double c0, c1; //Guo's model parameters
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double tau_eff;
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double mu_eff;//kinematic viscosity
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double nx_gs,ny_gs,nz_gs;//grey-solid color gradient
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double nx_phase,ny_phase,nz_phase,C_phase;
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double Fx,Fy,Fz;
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const double mrt_V1=0.05263157894736842;
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const double mrt_V2=0.012531328320802;
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const double mrt_V3=0.04761904761904762;
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const double mrt_V4=0.004594820384294068;
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const double mrt_V5=0.01587301587301587;
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const double mrt_V6=0.0555555555555555555555555;
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const double mrt_V7=0.02777777777777778;
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const double mrt_V8=0.08333333333333333;
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const double mrt_V9=0.003341687552213868;
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const double mrt_V10=0.003968253968253968;
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const double mrt_V11=0.01388888888888889;
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const double mrt_V12=0.04166666666666666;
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int S = Np/NBLOCKS/NTHREADS + 1;
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for (int s=0; s<S; s++){
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//........Get 1-D index for this thread....................
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n = S*blockIdx.x*blockDim.x + s*blockDim.x + threadIdx.x + start;
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if (n<finish) {
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// read the component number densities
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nA = Den[n];
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nB = Den[Np + n];
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porosity = Poros[n];
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perm = Perm[n];
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nx_gs = GreySolidGrad[n+0*Np];
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ny_gs = GreySolidGrad[n+1*Np];
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nz_gs = GreySolidGrad[n+2*Np];
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// compute phase indicator field
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phi=(nA-nB)/(nA+nB);
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// local density
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rho0=rhoA + 0.5*(1.0-phi)*(rhoB-rhoA);
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// local relaxation time
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tau=tauA + 0.5*(1.0-phi)*(tauB-tauA);
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tau_eff=tauA_eff + 0.5*(1.0-phi)*(tauB_eff-tauA_eff);
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rlx_setA = 1.f/tau;
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rlx_setB = 8.f*(2.f-rlx_setA)/(8.f-rlx_setA);
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mu_eff = (tau_eff-0.5)/3.0;//kinematic viscosity
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// Get the 1D index based on regular data layout
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ijk = Map[n];
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// COMPUTE THE COLOR GRADIENT
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//........................................................................
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//.................Read Phase Indicator Values............................
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//........................................................................
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nn = ijk-1; // neighbor index (get convention)
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m1 = Phi[nn]; // get neighbor for phi - 1
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//........................................................................
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nn = ijk+1; // neighbor index (get convention)
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m2 = Phi[nn]; // get neighbor for phi - 2
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//........................................................................
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nn = ijk-strideY; // neighbor index (get convention)
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m3 = Phi[nn]; // get neighbor for phi - 3
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//........................................................................
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nn = ijk+strideY; // neighbor index (get convention)
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m4 = Phi[nn]; // get neighbor for phi - 4
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//........................................................................
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nn = ijk-strideZ; // neighbor index (get convention)
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m5 = Phi[nn]; // get neighbor for phi - 5
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//........................................................................
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nn = ijk+strideZ; // neighbor index (get convention)
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m6 = Phi[nn]; // get neighbor for phi - 6
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//........................................................................
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nn = ijk-strideY-1; // neighbor index (get convention)
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m7 = Phi[nn]; // get neighbor for phi - 7
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//........................................................................
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nn = ijk+strideY+1; // neighbor index (get convention)
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m8 = Phi[nn]; // get neighbor for phi - 8
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//........................................................................
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nn = ijk+strideY-1; // neighbor index (get convention)
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m9 = Phi[nn]; // get neighbor for phi - 9
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//........................................................................
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nn = ijk-strideY+1; // neighbor index (get convention)
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m10 = Phi[nn]; // get neighbor for phi - 10
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//........................................................................
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nn = ijk-strideZ-1; // neighbor index (get convention)
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m11 = Phi[nn]; // get neighbor for phi - 11
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//........................................................................
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nn = ijk+strideZ+1; // neighbor index (get convention)
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m12 = Phi[nn]; // get neighbor for phi - 12
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//........................................................................
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nn = ijk+strideZ-1; // neighbor index (get convention)
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m13 = Phi[nn]; // get neighbor for phi - 13
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//........................................................................
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nn = ijk-strideZ+1; // neighbor index (get convention)
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m14 = Phi[nn]; // get neighbor for phi - 14
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//........................................................................
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nn = ijk-strideZ-strideY; // neighbor index (get convention)
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m15 = Phi[nn]; // get neighbor for phi - 15
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//........................................................................
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nn = ijk+strideZ+strideY; // neighbor index (get convention)
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m16 = Phi[nn]; // get neighbor for phi - 16
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//........................................................................
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nn = ijk+strideZ-strideY; // neighbor index (get convention)
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m17 = Phi[nn]; // get neighbor for phi - 17
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//........................................................................
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nn = ijk-strideZ+strideY; // neighbor index (get convention)
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m18 = Phi[nn]; // get neighbor for phi - 18
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//............Compute the Color Gradient...................................
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nx_phase = -(m1-m2+0.5*(m7-m8+m9-m10+m11-m12+m13-m14));
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ny_phase = -(m3-m4+0.5*(m7-m8-m9+m10+m15-m16+m17-m18));
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nz_phase = -(m5-m6+0.5*(m11-m12-m13+m14+m15-m16-m17+m18));
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C_phase = sqrt(nx_phase*nx_phase+ny_phase*ny_phase+nz_phase*nz_phase);
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//correct the normal color gradient by considering the effect of grey solid
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nx = nx_phase + (1.0-porosity)*nx_gs;
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ny = ny_phase + (1.0-porosity)*ny_gs;
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nz = nz_phase + (1.0-porosity)*nz_gs;
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if (C_phase==0.0){
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nx = nx_phase;
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ny = ny_phase;
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nz = nz_phase;
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}
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//...........Normalize the Color Gradient.................................
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C = sqrt(nx*nx+ny*ny+nz*nz);
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double ColorMag = C;
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if (C==0.0) ColorMag=1.0;
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nx = nx/ColorMag;
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ny = ny/ColorMag;
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nz = nz/ColorMag;
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// q=0
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fq = dist[n];
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rho = fq;
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m1 = -30.0*fq;
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m2 = 12.0*fq;
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// q=1
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//nread = neighborList[n]; // neighbor 2
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//fq = dist[nread]; // reading the f1 data into register fq
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nr1 = neighborList[n];
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fq = dist[nr1]; // reading the f1 data into register fq
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rho += fq;
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m1 -= 11.0*fq;
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m2 -= 4.0*fq;
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jx = fq;
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m4 = -4.0*fq;
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m9 = 2.0*fq;
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m10 = -4.0*fq;
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// f2 = dist[10*Np+n];
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//nread = neighborList[n+Np]; // neighbor 1 ( < 10Np => even part of dist)
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//fq = dist[nread]; // reading the f2 data into register fq
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nr2 = neighborList[n+Np]; // neighbor 1 ( < 10Np => even part of dist)
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fq = dist[nr2]; // reading the f2 data into register fq
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rho += fq;
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m1 -= 11.0*(fq);
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m2 -= 4.0*(fq);
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jx -= fq;
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m4 += 4.0*(fq);
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m9 += 2.0*(fq);
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m10 -= 4.0*(fq);
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// q=3
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//nread = neighborList[n+2*Np]; // neighbor 4
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//fq = dist[nread];
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nr3 = neighborList[n+2*Np]; // neighbor 4
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fq = dist[nr3];
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rho += fq;
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m1 -= 11.0*fq;
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m2 -= 4.0*fq;
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jy = fq;
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m6 = -4.0*fq;
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m9 -= fq;
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m10 += 2.0*fq;
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m11 = fq;
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m12 = -2.0*fq;
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// q = 4
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//nread = neighborList[n+3*Np]; // neighbor 3
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//fq = dist[nread];
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nr4 = neighborList[n+3*Np]; // neighbor 3
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fq = dist[nr4];
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rho+= fq;
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m1 -= 11.0*fq;
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m2 -= 4.0*fq;
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jy -= fq;
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m6 += 4.0*fq;
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m9 -= fq;
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m10 += 2.0*fq;
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m11 += fq;
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m12 -= 2.0*fq;
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// q=5
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//nread = neighborList[n+4*Np];
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//fq = dist[nread];
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nr5 = neighborList[n+4*Np];
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fq = dist[nr5];
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rho += fq;
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m1 -= 11.0*fq;
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m2 -= 4.0*fq;
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jz = fq;
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m8 = -4.0*fq;
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m9 -= fq;
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m10 += 2.0*fq;
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m11 -= fq;
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m12 += 2.0*fq;
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// q = 6
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//nread = neighborList[n+5*Np];
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//fq = dist[nread];
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nr6 = neighborList[n+5*Np];
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fq = dist[nr6];
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rho+= fq;
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m1 -= 11.0*fq;
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m2 -= 4.0*fq;
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jz -= fq;
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m8 += 4.0*fq;
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m9 -= fq;
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m10 += 2.0*fq;
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m11 -= fq;
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m12 += 2.0*fq;
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// q=7
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//nread = neighborList[n+6*Np];
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//fq = dist[nread];
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nr7 = neighborList[n+6*Np];
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fq = dist[nr7];
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rho += fq;
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m1 += 8.0*fq;
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m2 += fq;
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jx += fq;
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m4 += fq;
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jy += fq;
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m6 += fq;
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m9 += fq;
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m10 += fq;
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m11 += fq;
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m12 += fq;
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m13 = fq;
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m16 = fq;
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m17 = -fq;
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// q = 8
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//nread = neighborList[n+7*Np];
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//fq = dist[nread];
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nr8 = neighborList[n+7*Np];
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fq = dist[nr8];
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rho += fq;
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m1 += 8.0*fq;
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m2 += fq;
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jx -= fq;
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m4 -= fq;
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jy -= fq;
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m6 -= fq;
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m9 += fq;
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m10 += fq;
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m11 += fq;
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m12 += fq;
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m13 += fq;
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m16 -= fq;
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m17 += fq;
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// q=9
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//nread = neighborList[n+8*Np];
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//fq = dist[nread];
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nr9 = neighborList[n+8*Np];
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fq = dist[nr9];
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rho += fq;
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m1 += 8.0*fq;
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m2 += fq;
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jx += fq;
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m4 += fq;
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jy -= fq;
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m6 -= fq;
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m9 += fq;
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m10 += fq;
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m11 += fq;
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m12 += fq;
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m13 -= fq;
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m16 += fq;
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m17 += fq;
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// q = 10
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//nread = neighborList[n+9*Np];
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//fq = dist[nread];
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nr10 = neighborList[n+9*Np];
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fq = dist[nr10];
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rho += fq;
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m1 += 8.0*fq;
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m2 += fq;
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jx -= fq;
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m4 -= fq;
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jy += fq;
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m6 += fq;
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m9 += fq;
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m10 += fq;
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m11 += fq;
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m12 += fq;
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m13 -= fq;
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m16 -= fq;
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m17 -= fq;
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// q=11
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//nread = neighborList[n+10*Np];
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//fq = dist[nread];
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nr11 = neighborList[n+10*Np];
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fq = dist[nr11];
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rho += fq;
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m1 += 8.0*fq;
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m2 += fq;
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jx += fq;
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m4 += fq;
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jz += fq;
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m8 += fq;
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m9 += fq;
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m10 += fq;
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m11 -= fq;
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m12 -= fq;
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m15 = fq;
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m16 -= fq;
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m18 = fq;
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// q=12
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//nread = neighborList[n+11*Np];
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//fq = dist[nread];
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nr12 = neighborList[n+11*Np];
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fq = dist[nr12];
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rho += fq;
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m1 += 8.0*fq;
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m2 += fq;
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jx -= fq;
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m4 -= fq;
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jz -= fq;
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m8 -= fq;
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m9 += fq;
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m10 += fq;
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m11 -= fq;
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m12 -= fq;
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m15 += fq;
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m16 += fq;
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m18 -= fq;
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// q=13
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//nread = neighborList[n+12*Np];
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//fq = dist[nread];
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nr13 = neighborList[n+12*Np];
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fq = dist[nr13];
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rho += fq;
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m1 += 8.0*fq;
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m2 += fq;
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jx += fq;
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m4 += fq;
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jz -= fq;
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m8 -= fq;
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m9 += fq;
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m10 += fq;
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m11 -= fq;
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m12 -= fq;
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m15 -= fq;
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m16 -= fq;
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m18 -= fq;
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// q=14
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//nread = neighborList[n+13*Np];
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//fq = dist[nread];
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nr14 = neighborList[n+13*Np];
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fq = dist[nr14];
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rho += fq;
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m1 += 8.0*fq;
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m2 += fq;
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jx -= fq;
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m4 -= fq;
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jz += fq;
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m8 += fq;
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m9 += fq;
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m10 += fq;
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m11 -= fq;
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m12 -= fq;
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m15 -= fq;
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m16 += fq;
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m18 += fq;
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// q=15
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nread = neighborList[n+14*Np];
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fq = dist[nread];
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//fq = dist[17*Np+n];
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rho += fq;
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m1 += 8.0*fq;
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m2 += fq;
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jy += fq;
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m6 += fq;
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jz += fq;
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m8 += fq;
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m9 -= 2.0*fq;
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m10 -= 2.0*fq;
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m14 = fq;
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m17 += fq;
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m18 -= fq;
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// q=16
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nread = neighborList[n+15*Np];
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fq = dist[nread];
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//fq = dist[8*Np+n];
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rho += fq;
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m1 += 8.0*fq;
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m2 += fq;
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jy -= fq;
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m6 -= fq;
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jz -= fq;
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m8 -= fq;
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m9 -= 2.0*fq;
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m10 -= 2.0*fq;
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m14 += fq;
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m17 -= fq;
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m18 += fq;
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// q=17
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//fq = dist[18*Np+n];
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nread = neighborList[n+16*Np];
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fq = dist[nread];
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rho += fq;
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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;
|
|
//Pressure[n] = rho/3.f/porosity;
|
|
Pressure[n] = rho/3.f;
|
|
|
|
//........................................................................
|
|
//..............carry out relaxation process..............................
|
|
//..........Toelke, Fruediger et. al. 2006................................
|
|
//---------------- NO higher-order force -------------------------------//
|
|
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);
|
|
//----------------------------------------------------------------------//
|
|
|
|
//----------------With higher-order force ------------------------------//
|
|
//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)
|
|
// + (1-0.5*rlx_setA)*38*(Fx*ux+Fy*uy+Fz*uz)/porosity;
|
|
//m2 = m2 + rlx_setA*((3*rho - 5.5*(ux*ux+uy*uy+uz*uz)*rho0/porosity)- m2)
|
|
// + (1-0.5*rlx_setA)*11*(-Fx*ux-Fy*uy-Fz*uz)/porosity;
|
|
//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)
|
|
// + (1-0.5*rlx_setA)*(4*Fx*ux-2*Fy*uy-2*Fz*uz)/porosity;
|
|
////m10 = m10 + rlx_setA*( - m10);
|
|
//m10 = m10 + rlx_setA*(-0.5*rho0*((2*ux*ux-uy*uy-uz*uz)/porosity)- m10)
|
|
// + (1-0.5*rlx_setA)*(-2*Fx*ux+Fy*uy+Fz*uz)/porosity;
|
|
//m11 = m11 + rlx_setA*(((uy*uy-uz*uz)*rho0/porosity) + 0.5*alpha*C*(ny*ny-nz*nz)- m11)
|
|
// + (1-0.5*rlx_setA)*(2*Fy*uy-2*Fz*uz)/porosity;
|
|
////m12 = m12 + rlx_setA*( - m12);
|
|
//m12 = m12 + rlx_setA*(-0.5*(rho0*(uy*uy-uz*uz)/porosity)- m12)
|
|
// + (1-0.5*rlx_setA)*(-Fy*uy+Fz*uz)/porosity;
|
|
//m13 = m13 + rlx_setA*( (ux*uy*rho0/porosity) + 0.5*alpha*C*nx*ny - m13);
|
|
// + (1-0.5*rlx_setA)*(Fy*ux+Fx*uy)/porosity;
|
|
//m14 = m14 + rlx_setA*( (uy*uz*rho0/porosity) + 0.5*alpha*C*ny*nz - m14);
|
|
// + (1-0.5*rlx_setA)*(Fz*uy+Fy*uz)/porosity;
|
|
//m15 = m15 + rlx_setA*( (ux*uz*rho0/porosity) + 0.5*alpha*C*nx*nz - m15);
|
|
// + (1-0.5*rlx_setA)*(Fz*ux+Fx*uz)/porosity;
|
|
//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;
|
|
//...............................................
|
|
}
|
|
}
|
|
}
|
|
|
|
//Model-1 & 4
|
|
__global__ void dvc_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 *Pressure,
|
|
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
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double c0, c1; //Guo's model parameters
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double tau_eff;
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double mu_eff;//kinematic viscosity
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double nx_gs,ny_gs,nz_gs;//grey-solid color gradient
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double nx_phase,ny_phase,nz_phase,C_phase;
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double Fx,Fy,Fz;
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const double mrt_V1=0.05263157894736842;
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const double mrt_V2=0.012531328320802;
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const double mrt_V3=0.04761904761904762;
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const double mrt_V4=0.004594820384294068;
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const double mrt_V5=0.01587301587301587;
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const double mrt_V6=0.0555555555555555555555555;
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const double mrt_V7=0.02777777777777778;
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const double mrt_V8=0.08333333333333333;
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const double mrt_V9=0.003341687552213868;
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const double mrt_V10=0.003968253968253968;
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const double mrt_V11=0.01388888888888889;
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const double mrt_V12=0.04166666666666666;
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int S = Np/NBLOCKS/NTHREADS + 1;
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for (int s=0; s<S; s++){
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//........Get 1-D index for this thread....................
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n = S*blockIdx.x*blockDim.x + s*blockDim.x + threadIdx.x + start;
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if (n<finish) {
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// read the component number densities
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nA = Den[n];
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nB = Den[Np + n];
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porosity = Poros[n];
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perm = Perm[n];
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nx_gs = GreySolidGrad[n+0*Np];
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ny_gs = GreySolidGrad[n+1*Np];
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nz_gs = GreySolidGrad[n+2*Np];
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// compute phase indicator field
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phi=(nA-nB)/(nA+nB);
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// local density
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rho0=rhoA + 0.5*(1.0-phi)*(rhoB-rhoA);
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// local relaxation time
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tau=tauA + 0.5*(1.0-phi)*(tauB-tauA);
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tau_eff=tauA_eff + 0.5*(1.0-phi)*(tauB_eff-tauA_eff);
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rlx_setA = 1.f/tau;
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rlx_setB = 8.f*(2.f-rlx_setA)/(8.f-rlx_setA);
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mu_eff = (tau_eff-0.5)/3.0;//kinematic viscosity
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// Get the 1D index based on regular data layout
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ijk = Map[n];
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// COMPUTE THE COLOR GRADIENT
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//........................................................................
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//.................Read Phase Indicator Values............................
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//........................................................................
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nn = ijk-1; // neighbor index (get convention)
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m1 = Phi[nn]; // get neighbor for phi - 1
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//........................................................................
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nn = ijk+1; // neighbor index (get convention)
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m2 = Phi[nn]; // get neighbor for phi - 2
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//........................................................................
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nn = ijk-strideY; // neighbor index (get convention)
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m3 = Phi[nn]; // get neighbor for phi - 3
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//........................................................................
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nn = ijk+strideY; // neighbor index (get convention)
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m4 = Phi[nn]; // get neighbor for phi - 4
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//........................................................................
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nn = ijk-strideZ; // neighbor index (get convention)
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m5 = Phi[nn]; // get neighbor for phi - 5
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//........................................................................
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nn = ijk+strideZ; // neighbor index (get convention)
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m6 = Phi[nn]; // get neighbor for phi - 6
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//........................................................................
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nn = ijk-strideY-1; // neighbor index (get convention)
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m7 = Phi[nn]; // get neighbor for phi - 7
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//........................................................................
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nn = ijk+strideY+1; // neighbor index (get convention)
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m8 = Phi[nn]; // get neighbor for phi - 8
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//........................................................................
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nn = ijk+strideY-1; // neighbor index (get convention)
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m9 = Phi[nn]; // get neighbor for phi - 9
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//........................................................................
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nn = ijk-strideY+1; // neighbor index (get convention)
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m10 = Phi[nn]; // get neighbor for phi - 10
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//........................................................................
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nn = ijk-strideZ-1; // neighbor index (get convention)
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m11 = Phi[nn]; // get neighbor for phi - 11
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//........................................................................
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nn = ijk+strideZ+1; // neighbor index (get convention)
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m12 = Phi[nn]; // get neighbor for phi - 12
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//........................................................................
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nn = ijk+strideZ-1; // neighbor index (get convention)
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m13 = Phi[nn]; // get neighbor for phi - 13
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//........................................................................
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nn = ijk-strideZ+1; // neighbor index (get convention)
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m14 = Phi[nn]; // get neighbor for phi - 14
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//........................................................................
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nn = ijk-strideZ-strideY; // neighbor index (get convention)
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m15 = Phi[nn]; // get neighbor for phi - 15
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//........................................................................
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nn = ijk+strideZ+strideY; // neighbor index (get convention)
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m16 = Phi[nn]; // get neighbor for phi - 16
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//........................................................................
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nn = ijk+strideZ-strideY; // neighbor index (get convention)
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m17 = Phi[nn]; // get neighbor for phi - 17
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//........................................................................
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nn = ijk-strideZ+strideY; // neighbor index (get convention)
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m18 = Phi[nn]; // get neighbor for phi - 18
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//............Compute the Color Gradient...................................
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nx_phase = -(m1-m2+0.5*(m7-m8+m9-m10+m11-m12+m13-m14));
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ny_phase = -(m3-m4+0.5*(m7-m8-m9+m10+m15-m16+m17-m18));
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nz_phase = -(m5-m6+0.5*(m11-m12-m13+m14+m15-m16-m17+m18));
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C_phase = sqrt(nx_phase*nx_phase+ny_phase*ny_phase+nz_phase*nz_phase);
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//correct the normal color gradient by considering the effect of grey solid
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nx = nx_phase + (1.0-porosity)*nx_gs;
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ny = ny_phase + (1.0-porosity)*ny_gs;
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nz = nz_phase + (1.0-porosity)*nz_gs;
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if (C_phase==0.0){
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nx = nx_phase;
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ny = ny_phase;
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nz = nz_phase;
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}
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//...........Normalize the Color Gradient.................................
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C = sqrt(nx*nx+ny*ny+nz*nz);
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double ColorMag = C;
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if (C==0.0) ColorMag=1.0;
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nx = nx/ColorMag;
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ny = ny/ColorMag;
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nz = nz/ColorMag;
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// q=0
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fq = dist[n];
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rho = fq;
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m1 = -30.0*fq;
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m2 = 12.0*fq;
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// q=1
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fq = dist[2*Np+n];
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rho += fq;
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m1 -= 11.0*fq;
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m2 -= 4.0*fq;
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jx = fq;
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m4 = -4.0*fq;
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m9 = 2.0*fq;
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m10 = -4.0*fq;
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// f2 = dist[10*Np+n];
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fq = dist[1*Np+n];
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rho += fq;
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m1 -= 11.0*(fq);
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m2 -= 4.0*(fq);
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jx -= fq;
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m4 += 4.0*(fq);
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m9 += 2.0*(fq);
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m10 -= 4.0*(fq);
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// q=3
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fq = dist[4*Np+n];
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rho += fq;
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m1 -= 11.0*fq;
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m2 -= 4.0*fq;
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jy = fq;
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m6 = -4.0*fq;
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m9 -= fq;
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m10 += 2.0*fq;
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m11 = fq;
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m12 = -2.0*fq;
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// q = 4
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fq = dist[3*Np+n];
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rho+= fq;
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m1 -= 11.0*fq;
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m2 -= 4.0*fq;
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jy -= fq;
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m6 += 4.0*fq;
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m9 -= fq;
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m10 += 2.0*fq;
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m11 += fq;
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m12 -= 2.0*fq;
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// q=5
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fq = dist[6*Np+n];
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rho += fq;
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m1 -= 11.0*fq;
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m2 -= 4.0*fq;
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jz = fq;
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m8 = -4.0*fq;
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m9 -= fq;
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m10 += 2.0*fq;
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m11 -= fq;
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m12 += 2.0*fq;
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// q = 6
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fq = dist[5*Np+n];
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rho+= fq;
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m1 -= 11.0*fq;
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m2 -= 4.0*fq;
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jz -= fq;
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m8 += 4.0*fq;
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m9 -= fq;
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m10 += 2.0*fq;
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m11 -= fq;
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m12 += 2.0*fq;
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// q=7
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fq = dist[8*Np+n];
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rho += fq;
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m1 += 8.0*fq;
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m2 += fq;
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jx += fq;
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m4 += fq;
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jy += fq;
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m6 += fq;
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m9 += fq;
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m10 += fq;
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m11 += fq;
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m12 += fq;
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m13 = fq;
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m16 = fq;
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m17 = -fq;
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// q = 8
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fq = dist[7*Np+n];
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rho += fq;
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m1 += 8.0*fq;
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m2 += fq;
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jx -= fq;
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m4 -= fq;
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jy -= fq;
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m6 -= fq;
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m9 += fq;
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m10 += fq;
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m11 += fq;
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m12 += fq;
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m13 += fq;
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m16 -= fq;
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m17 += fq;
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// q=9
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fq = dist[10*Np+n];
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rho += fq;
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m1 += 8.0*fq;
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m2 += fq;
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jx += fq;
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m4 += fq;
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jy -= fq;
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m6 -= fq;
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m9 += fq;
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m10 += fq;
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m11 += fq;
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m12 += fq;
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m13 -= fq;
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m16 += fq;
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m17 += fq;
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// q = 10
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fq = dist[9*Np+n];
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rho += fq;
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m1 += 8.0*fq;
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m2 += fq;
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jx -= fq;
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m4 -= fq;
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jy += fq;
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m6 += fq;
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m9 += fq;
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m10 += fq;
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m11 += fq;
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m12 += fq;
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m13 -= fq;
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m16 -= fq;
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m17 -= fq;
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// q=11
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fq = dist[12*Np+n];
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rho += fq;
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m1 += 8.0*fq;
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m2 += fq;
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jx += fq;
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m4 += fq;
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jz += fq;
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m8 += fq;
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m9 += fq;
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m10 += fq;
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m11 -= fq;
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m12 -= fq;
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m15 = fq;
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m16 -= fq;
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m18 = fq;
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// q=12
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fq = dist[11*Np+n];
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rho += fq;
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m1 += 8.0*fq;
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m2 += fq;
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jx -= fq;
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m4 -= fq;
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jz -= fq;
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m8 -= fq;
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m9 += fq;
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m10 += fq;
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m11 -= fq;
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m12 -= fq;
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m15 += fq;
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m16 += fq;
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m18 -= fq;
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// q=13
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fq = dist[14*Np+n];
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rho += fq;
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m1 += 8.0*fq;
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m2 += fq;
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jx += fq;
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m4 += fq;
|
|
jz -= fq;
|
|
m8 -= fq;
|
|
m9 += fq;
|
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m10 += fq;
|
|
m11 -= fq;
|
|
m12 -= fq;
|
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m15 -= fq;
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m16 -= fq;
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m18 -= fq;
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// q=14
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fq = dist[13*Np+n];
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rho += fq;
|
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m1 += 8.0*fq;
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m2 += fq;
|
|
jx -= fq;
|
|
m4 -= fq;
|
|
jz += fq;
|
|
m8 += fq;
|
|
m9 += fq;
|
|
m10 += fq;
|
|
m11 -= fq;
|
|
m12 -= fq;
|
|
m15 -= fq;
|
|
m16 += fq;
|
|
m18 += fq;
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|
|
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// 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;
|
|
|
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// 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;
|
|
//Pressure[n] = rho/3.f/porosity;
|
|
Pressure[n] = rho/3.f;
|
|
|
|
//........................................................................
|
|
//..............carry out relaxation process..............................
|
|
//..........Toelke, Fruediger et. al. 2006................................
|
|
//---------------- NO higher-order force -------------------------------//
|
|
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);
|
|
//----------------------------------------------------------------------//
|
|
|
|
//----------------With higher-order force ------------------------------//
|
|
//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)
|
|
// + (1-0.5*rlx_setA)*38*(Fx*ux+Fy*uy+Fz*uz)/porosity;
|
|
//m2 = m2 + rlx_setA*((3*rho - 5.5*(ux*ux+uy*uy+uz*uz)*rho0/porosity)- m2)
|
|
// + (1-0.5*rlx_setA)*11*(-Fx*ux-Fy*uy-Fz*uz)/porosity;
|
|
//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)
|
|
// + (1-0.5*rlx_setA)*(4*Fx*ux-2*Fy*uy-2*Fz*uz)/porosity;
|
|
////m10 = m10 + rlx_setA*( - m10);
|
|
//m10 = m10 + rlx_setA*(-0.5*rho0*((2*ux*ux-uy*uy-uz*uz)/porosity)- m10)
|
|
// + (1-0.5*rlx_setA)*(-2*Fx*ux+Fy*uy+Fz*uz)/porosity;
|
|
//m11 = m11 + rlx_setA*(((uy*uy-uz*uz)*rho0/porosity) + 0.5*alpha*C*(ny*ny-nz*nz)- m11)
|
|
// + (1-0.5*rlx_setA)*(2*Fy*uy-2*Fz*uz)/porosity;
|
|
////m12 = m12 + rlx_setA*( - m12);
|
|
//m12 = m12 + rlx_setA*(-0.5*(rho0*(uy*uy-uz*uz)/porosity)- m12)
|
|
// + (1-0.5*rlx_setA)*(-Fy*uy+Fz*uz)/porosity;
|
|
//m13 = m13 + rlx_setA*( (ux*uy*rho0/porosity) + 0.5*alpha*C*nx*ny - m13);
|
|
// + (1-0.5*rlx_setA)*(Fy*ux+Fx*uy)/porosity;
|
|
//m14 = m14 + rlx_setA*( (uy*uz*rho0/porosity) + 0.5*alpha*C*ny*nz - m14);
|
|
// + (1-0.5*rlx_setA)*(Fz*uy+Fy*uz)/porosity;
|
|
//m15 = m15 + rlx_setA*( (ux*uz*rho0/porosity) + 0.5*alpha*C*nx*nz - m15);
|
|
// + (1-0.5*rlx_setA)*(Fz*ux+Fx*uz)/porosity;
|
|
//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;
|
|
//...............................................
|
|
|
|
}
|
|
}
|
|
}
|
|
|
|
//CP: capillary penalty
|
|
// also turn off recoloring for grey nodes
|
|
__global__ void dvc_ScaLBL_D3Q19_AAodd_GreyscaleColor_CP(int *neighborList, int *Map, double *dist, double *Aq, double *Bq, double *Den,
|
|
double *Phi, double *GreySolidW, double *GreySn, double *GreySw, double *GreyKn, double *GreyKw, double *Poros,
|
|
double *Perm, double *Velocity, double *MobilityRatio, double *Pressure,
|
|
double rhoA, double rhoB, double tauA, double tauB,double tauA_eff,double tauB_eff,double alpha, double beta,
|
|
double Gx, double Gy, double Gz, bool RecoloringOff, 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 ux,uy,uz;
|
|
// 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 porosity;
|
|
double perm;//voxel permeability
|
|
double tau_eff;
|
|
double mu_eff;//kinematic viscosity
|
|
double Fx,Fy,Fz;
|
|
double Fcpx,Fcpy,Fcpz;//capillary penalty force
|
|
double W;//greyscale wetting strength
|
|
double Sn_grey,Sw_grey;
|
|
double GreyDiff=0.0e-4;
|
|
|
|
/* Corey model parameters */
|
|
double Kn_grey,Kw_grey;
|
|
double Swn,Krn_grey,Krw_grey,mobility_ratio,jA,jB;
|
|
|
|
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;
|
|
|
|
int S = Np/NBLOCKS/NTHREADS + 1;
|
|
for (int s=0; s<S; s++){
|
|
//........Get 1-D index for this thread....................
|
|
n = S*blockIdx.x*blockDim.x + s*blockDim.x + threadIdx.x + start;
|
|
if (n<finish) {
|
|
// read the component number densities
|
|
nA = Den[n];
|
|
nB = Den[Np + n];
|
|
|
|
porosity = Poros[n];
|
|
//GreyDiff = Perm[n];
|
|
perm = 1.0;
|
|
W = GreySolidW[n];
|
|
Sn_grey = GreySn[n];
|
|
Sw_grey = GreySw[n];
|
|
Kn_grey = GreyKn[n];
|
|
Kw_grey = GreyKw[n];
|
|
|
|
// 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
|
|
|
|
mobility_ratio = 1.0;
|
|
Krn_grey = 0.0;
|
|
Krw_grey = 0.0;
|
|
if (nA/(nA+nB)<Sn_grey && porosity !=1.0){
|
|
perm = Kw_grey;
|
|
Krw_grey = Kw_grey;
|
|
Swn = 0.0;
|
|
}
|
|
else if (nA/(nA+nB)>=Sn_grey && nA/(nA+nB) <= Sw_grey && porosity !=1.0){
|
|
Swn = (nA/(nA+nB) - Sn_grey) /(Sw_grey - Sn_grey);
|
|
Krn_grey = Kn_grey*Swn*Swn; // Corey model with exponent = 2, make sure that W cannot shift to zero
|
|
Krw_grey = Kw_grey*(1.0-Swn)*(1.0-Swn); // Corey model with exponent = 4, make sure that W cannot shift to zero
|
|
// recompute the effective permeability
|
|
perm = mu_eff*(Krn_grey*3.0/(tauA-0.5) + Krw_grey*3.0/(tauB-0.5));
|
|
//mobility_ratio =(nA*Krn_grey*3.0/(tauA-0.5) - nB*Krw_grey*3.0/(tauB-0.5))/(nA*Krn_grey*3.0/(tauA-0.5) + nB*Krw_grey*3.0/(tauB-0.5));
|
|
}
|
|
else if (nA/(nA+nB)>Sw_grey && porosity !=1.0){
|
|
perm = Kn_grey;
|
|
Krn_grey = Kn_grey;
|
|
Swn = 1.0;
|
|
}
|
|
/* compute the mobility ratio */
|
|
if (porosity != 1.0){
|
|
mobility_ratio =(Krn_grey/(tauA-0.5) - Krw_grey/(tauB-0.5))/(Krn_grey/(tauA-0.5) + Krw_grey/(tauB-0.5));
|
|
}
|
|
else if (phi > 0.0){
|
|
mobility_ratio = 1.0;
|
|
}
|
|
else {
|
|
mobility_ratio = -1.0;
|
|
}
|
|
MobilityRatio[n] = mobility_ratio;
|
|
|
|
// 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 = -3.0/18.0*(m1-m2+0.5*(m7-m8+m9-m10+m11-m12+m13-m14));
|
|
ny = -3.0/18.0*(m3-m4+0.5*(m7-m8-m9+m10+m15-m16+m17-m18));
|
|
nz = -3.0/18.0*(m5-m6+0.5*(m11-m12-m13+m14+m15-m16-m17+m18));
|
|
|
|
Fcpx = nx;
|
|
Fcpy = ny;
|
|
Fcpz = nz;
|
|
double Fcp_mag=sqrt(Fcpx*Fcpx+Fcpy*Fcpy+Fcpz*Fcpz);
|
|
if (Fcp_mag==0.0) Fcpx=Fcpy=Fcpz=0.0;
|
|
//NOTE for open node (porosity=1.0),Fcp=0.0
|
|
Fcpx *= alpha*W*(1.0-porosity)/sqrt(perm);
|
|
Fcpy *= alpha*W*(1.0-porosity)/sqrt(perm);
|
|
Fcpz *= alpha*W*(1.0-porosity)/sqrt(perm);
|
|
|
|
//...........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
|
|
ux = (jx/rho0+0.5*porosity*Gx+0.5*Fcpx/rho0)/(1.0+0.5*porosity*mu_eff/perm);
|
|
uy = (jy/rho0+0.5*porosity*Gy+0.5*Fcpy/rho0)/(1.0+0.5*porosity*mu_eff/perm);
|
|
uz = (jz/rho0+0.5*porosity*Gz+0.5*Fcpz/rho0)/(1.0+0.5*porosity*mu_eff/perm);
|
|
if (porosity==1.0){//i.e. open nodes
|
|
ux = (jx/rho0+0.5*porosity*Gx);
|
|
uy = (jy/rho0+0.5*porosity*Gy);
|
|
uz = (jz/rho0+0.5*porosity*Gz);
|
|
}
|
|
|
|
//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*Gx)+Fcpx;
|
|
Fy = rho0*(-porosity*mu_eff/perm*uy + porosity*Gy)+Fcpy;
|
|
Fz = rho0*(-porosity*mu_eff/perm*uz + porosity*Gz)+Fcpz;
|
|
if (porosity==1.0){
|
|
Fx=rho0*(porosity*Gx);
|
|
Fy=rho0*(porosity*Gy);
|
|
Fz=rho0*(porosity*Gz);
|
|
}
|
|
|
|
// write the velocity
|
|
Velocity[n] = ux;
|
|
Velocity[Np+n] = uy;
|
|
Velocity[2*Np+n] = uz;
|
|
//Pressure[n] = rho/3.f/porosity;
|
|
Pressure[n] = rho/3.f;
|
|
|
|
//........................................................................
|
|
//..............carry out relaxation process..............................
|
|
//..........Toelke, Fruediger et. al. 2006................................
|
|
//---------------- NO higher-order force -------------------------------//
|
|
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}
|
|
jA = nA*ux;
|
|
jB = nB*ux;
|
|
delta = beta*nA*nB*nAB*0.1111111111111111*nx;
|
|
if (!(nA*nB*nAB>0)) delta=0;
|
|
//----------------newly added for better control of recoloring---------------//
|
|
if (nA/(nA+nB)>=Sn_grey && nA/(nA+nB) <= Sw_grey && porosity !=1.0){
|
|
//delta = 0.0;
|
|
delta = -0.111111111111111*C*W*GreyDiff*nA*nB*nAB*nx;
|
|
jA = 0.5*ux*(nA+nB)*(1.0+mobility_ratio);
|
|
jB = 0.5*ux*(nA+nB)*(1.0-mobility_ratio);
|
|
}
|
|
if (nA/(nA+nB)>Sw_grey && porosity !=1.0) delta = -1.0*delta;
|
|
//---------------------------------------------------------------------------//
|
|
if (RecoloringOff==true && porosity !=1.0) delta=0;
|
|
a1 = (0.1111111111111111*(nA+4.5*jA))+delta;
|
|
b1 = (0.1111111111111111*(nB+4.5*jB))-delta;
|
|
a2 = (0.1111111111111111*(nA-4.5*jA))-delta;
|
|
b2 = (0.1111111111111111*(nB-4.5*jB))+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}
|
|
jA = nA*uy;
|
|
jB = nB*uy;
|
|
delta = beta*nA*nB*nAB*0.1111111111111111*ny;
|
|
if (!(nA*nB*nAB>0)) delta=0;
|
|
//----------------newly added for better control of recoloring---------------//
|
|
if (nA/(nA+nB)>=Sn_grey && nA/(nA+nB) <= Sw_grey && porosity !=1.0){
|
|
//delta = 0.0;
|
|
delta = -0.111111111111111*C*W*GreyDiff*nA*nB*nAB*ny;
|
|
jA = 0.5*uy*(nA+nB)*(1.0+mobility_ratio);
|
|
jB = 0.5*uy*(nA+nB)*(1.0-mobility_ratio);
|
|
}
|
|
if (nA/(nA+nB)>Sw_grey && porosity !=1.0) delta = -1.0*delta;
|
|
//---------------------------------------------------------------------------//
|
|
if (RecoloringOff==true && porosity !=1.0) delta=0;
|
|
a1 = (0.1111111111111111*(nA+4.5*jA))+delta;
|
|
b1 = (0.1111111111111111*(nB+4.5*jB))-delta;
|
|
a2 = (0.1111111111111111*(nA-4.5*jA))-delta;
|
|
b2 = (0.1111111111111111*(nB-4.5*jB))+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}
|
|
jA = nA*uz;
|
|
jB = nB*uz;
|
|
delta = beta*nA*nB*nAB*0.1111111111111111*nz;
|
|
if (!(nA*nB*nAB>0)) delta=0;
|
|
//----------------newly added for better control of recoloring---------------//
|
|
if (nA/(nA+nB)>=Sn_grey && nA/(nA+nB) <= Sw_grey && porosity !=1.0){
|
|
//delta = 0.0;
|
|
delta = -0.111111111111111*C*W*GreyDiff*nA*nB*nAB*nz;
|
|
jA = 0.5*uz*(nA+nB)*(1.0+mobility_ratio);
|
|
jB = 0.5*uz*(nA+nB)*(1.0-mobility_ratio);
|
|
}
|
|
if (nA/(nA+nB)>Sw_grey && porosity !=1.0) delta = -1.0*delta;
|
|
//---------------------------------------------------------------------------//
|
|
if (RecoloringOff==true && porosity !=1.0) delta=0;
|
|
|
|
a1 = (0.1111111111111111*(nA+4.5*jA))+delta;
|
|
b1 = (0.1111111111111111*(nB+4.5*jB))-delta;
|
|
a2 = (0.1111111111111111*(nA-4.5*jA))-delta;
|
|
b2 = (0.1111111111111111*(nB-4.5*jB))+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;
|
|
//...............................................
|
|
}
|
|
}
|
|
}
|
|
|
|
//CP: capillary penalty
|
|
// also turn off recoloring for grey nodes
|
|
__global__ void dvc_ScaLBL_D3Q19_AAeven_GreyscaleColor_CP(int *Map, double *dist, double *Aq, double *Bq, double *Den,
|
|
double *Phi, double *GreySolidW, double *GreySn, double *GreySw, double *GreyKn, double *GreyKw, double *Poros,
|
|
double *Perm, double *Velocity, double *MobilityRatio, double *Pressure,
|
|
double rhoA, double rhoB, double tauA, double tauB,double tauA_eff,double tauB_eff, double alpha, double beta,
|
|
double Gx, double Gy, double Gz, bool RecoloringOff, int strideY, int strideZ, int start, int finish, int Np){
|
|
int ijk,nn,n;
|
|
double fq;
|
|
// conserved momemnts
|
|
double rho,jx,jy,jz;
|
|
double ux,uy,uz;
|
|
// 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 porosity;
|
|
double perm;//voxel permeability
|
|
double tau_eff;
|
|
double mu_eff;//kinematic viscosity
|
|
double Fx,Fy,Fz;
|
|
double Fcpx,Fcpy,Fcpz;//capillary penalty force
|
|
double W;//greyscale wetting strength
|
|
double Sn_grey,Sw_grey;
|
|
double GreyDiff=0.0e-4;
|
|
|
|
/* Corey model parameters */
|
|
double Kn_grey,Kw_grey;
|
|
double Swn,Krn_grey,Krw_grey,mobility_ratio,jA,jB;
|
|
|
|
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;
|
|
|
|
int S = Np/NBLOCKS/NTHREADS + 1;
|
|
for (int s=0; s<S; s++){
|
|
//........Get 1-D index for this thread....................
|
|
n = S*blockIdx.x*blockDim.x + s*blockDim.x + threadIdx.x + start;
|
|
if (n<finish) {
|
|
// read the component number densities
|
|
nA = Den[n];
|
|
nB = Den[Np + n];
|
|
|
|
porosity = Poros[n];
|
|
//GreyDiff = Perm[n];
|
|
perm = 1.0;
|
|
W = GreySolidW[n];
|
|
Sn_grey = GreySn[n];
|
|
Sw_grey = GreySw[n];
|
|
Kn_grey = GreyKn[n];
|
|
Kw_grey = GreyKw[n];
|
|
|
|
// 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
|
|
|
|
mobility_ratio = 1.0;
|
|
Krn_grey = 0.0;
|
|
Krw_grey = 0.0;
|
|
if (nA/(nA+nB)<Sn_grey && porosity !=1.0){
|
|
perm = Kw_grey;
|
|
Krw_grey = Kw_grey;
|
|
Swn = 0.0;
|
|
}
|
|
else if (nA/(nA+nB)>=Sn_grey && nA/(nA+nB) <= Sw_grey && porosity !=1.0){
|
|
Swn = (nA/(nA+nB) - Sn_grey) /(Sw_grey - Sn_grey);
|
|
Krn_grey = Kn_grey*Swn*Swn; // Corey model with exponent = 2, make sure that W cannot shift to zero
|
|
Krw_grey = Kw_grey*(1.0-Swn)*(1.0-Swn); // Corey model with exponent = 4, make sure that W cannot shift to zero
|
|
// recompute the effective permeability
|
|
perm = mu_eff*(Krn_grey*3.0/(tauA-0.5) + Krw_grey*3.0/(tauB-0.5));
|
|
//mobility_ratio =(nA*Krn_grey*3.0/(tauA-0.5) - nB*Krw_grey*3.0/(tauB-0.5))/(nA*Krn_grey*3.0/(tauA-0.5) + nB*Krw_grey*3.0/(tauB-0.5));
|
|
}
|
|
else if (nA/(nA+nB)>Sw_grey && porosity !=1.0){
|
|
perm = Kn_grey;
|
|
Krn_grey = Kn_grey;
|
|
Swn = 1.0;
|
|
}
|
|
/* compute the mobility ratio */
|
|
if (porosity != 1.0){
|
|
mobility_ratio =(Krn_grey/(tauA-0.5) - Krw_grey/(tauB-0.5))/(Krn_grey/(tauA-0.5) + Krw_grey/(tauB-0.5));
|
|
}
|
|
else if (phi > 0.0){
|
|
mobility_ratio = 1.0;
|
|
}
|
|
else {
|
|
mobility_ratio = -1.0;
|
|
}
|
|
MobilityRatio[n] = mobility_ratio;
|
|
|
|
// 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 = -3.0/18.0*(m1-m2+0.5*(m7-m8+m9-m10+m11-m12+m13-m14));
|
|
ny = -3.0/18.0*(m3-m4+0.5*(m7-m8-m9+m10+m15-m16+m17-m18));
|
|
nz = -3.0/18.0*(m5-m6+0.5*(m11-m12-m13+m14+m15-m16-m17+m18));
|
|
|
|
Fcpx = nx;
|
|
Fcpy = ny;
|
|
Fcpz = nz;
|
|
double Fcp_mag=sqrt(Fcpx*Fcpx+Fcpy*Fcpy+Fcpz*Fcpz);
|
|
if (Fcp_mag==0.0) Fcpx=Fcpy=Fcpz=0.0;
|
|
//NOTE for open node (porosity=1.0),Fcp=0.0
|
|
Fcpx *= alpha*W*(1.0-porosity)/sqrt(perm);
|
|
Fcpy *= alpha*W*(1.0-porosity)/sqrt(perm);
|
|
Fcpz *= alpha*W*(1.0-porosity)/sqrt(perm);
|
|
|
|
//...........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
|
|
ux = (jx/rho0+0.5*porosity*Gx+0.5*Fcpx/rho0)/(1.0+0.5*porosity*mu_eff/perm);
|
|
uy = (jy/rho0+0.5*porosity*Gy+0.5*Fcpy/rho0)/(1.0+0.5*porosity*mu_eff/perm);
|
|
uz = (jz/rho0+0.5*porosity*Gz+0.5*Fcpz/rho0)/(1.0+0.5*porosity*mu_eff/perm);
|
|
if (porosity==1.0){//i.e. open nodes
|
|
ux = (jx/rho0+0.5*porosity*Gx);
|
|
uy = (jy/rho0+0.5*porosity*Gy);
|
|
uz = (jz/rho0+0.5*porosity*Gz);
|
|
}
|
|
|
|
//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*Gx)+Fcpx;
|
|
Fy = rho0*(-porosity*mu_eff/perm*uy + porosity*Gy)+Fcpy;
|
|
Fz = rho0*(-porosity*mu_eff/perm*uz + porosity*Gz)+Fcpz;
|
|
if (porosity==1.0){
|
|
Fx=rho0*(porosity*Gx);
|
|
Fy=rho0*(porosity*Gy);
|
|
Fz=rho0*(porosity*Gz);
|
|
}
|
|
|
|
// write the velocity
|
|
Velocity[n] = ux;
|
|
Velocity[Np+n] = uy;
|
|
Velocity[2*Np+n] = uz;
|
|
//Pressure[n] = rho/3.f/porosity;
|
|
Pressure[n] = rho/3.f;
|
|
|
|
//........................................................................
|
|
//..............carry out relaxation process..............................
|
|
//..........Toelke, Fruediger et. al. 2006................................
|
|
//---------------- NO higher-order force -------------------------------//
|
|
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}
|
|
jA = nA*ux;
|
|
jB = nB*ux;
|
|
delta = beta*nA*nB*nAB*0.1111111111111111*nx;
|
|
if (!(nA*nB*nAB>0)) delta=0;
|
|
//----------------newly added for better control of recoloring---------------//
|
|
if (nA/(nA+nB)>=Sn_grey && nA/(nA+nB) <= Sw_grey && porosity !=1.0){
|
|
//delta = 0.0;
|
|
delta = -0.111111111111111*C*W*GreyDiff*nA*nB*nAB*nx;
|
|
jA = 0.5*ux*(nA+nB)*(1.0+mobility_ratio);
|
|
jB = 0.5*ux*(nA+nB)*(1.0-mobility_ratio);
|
|
}
|
|
if (nA/(nA+nB)>Sw_grey && porosity !=1.0) delta = -1.0*delta;
|
|
//---------------------------------------------------------------------------//
|
|
if (RecoloringOff==true && porosity !=1.0) delta=0;
|
|
a1 = (0.1111111111111111*(nA+4.5*jA))+delta;
|
|
b1 = (0.1111111111111111*(nB+4.5*jB))-delta;
|
|
a2 = (0.1111111111111111*(nA-4.5*jA))-delta;
|
|
b2 = (0.1111111111111111*(nB-4.5*jB))+delta;
|
|
|
|
Aq[1*Np+n] = a1;
|
|
Bq[1*Np+n] = b1;
|
|
Aq[2*Np+n] = a2;
|
|
Bq[2*Np+n] = b2;
|
|
|
|
//...............................................
|
|
// Cq = {0,1,0}
|
|
jA = nA*uy;
|
|
jB = nB*uy;
|
|
delta = beta*nA*nB*nAB*0.1111111111111111*ny;
|
|
if (!(nA*nB*nAB>0)) delta=0;
|
|
//----------------newly added for better control of recoloring---------------//
|
|
if (nA/(nA+nB)>=Sn_grey && nA/(nA+nB) <= Sw_grey && porosity !=1.0){
|
|
//delta = 0.0;
|
|
delta = -0.111111111111111*C*W*GreyDiff*nA*nB*nAB*ny;
|
|
jA = 0.5*uy*(nA+nB)*(1.0+mobility_ratio);
|
|
jB = 0.5*uy*(nA+nB)*(1.0-mobility_ratio);
|
|
}
|
|
if (nA/(nA+nB)>Sw_grey && porosity !=1.0) delta = -1.0*delta;
|
|
//---------------------------------------------------------------------------//
|
|
if (RecoloringOff==true && porosity !=1.0) delta=0;
|
|
a1 = (0.1111111111111111*(nA+4.5*jA))+delta;
|
|
b1 = (0.1111111111111111*(nB+4.5*jB))-delta;
|
|
a2 = (0.1111111111111111*(nA-4.5*jA))-delta;
|
|
b2 = (0.1111111111111111*(nB-4.5*jB))+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}
|
|
jA = nA*uz;
|
|
jB = nB*uz;
|
|
delta = beta*nA*nB*nAB*0.1111111111111111*nz;
|
|
if (!(nA*nB*nAB>0)) delta=0;
|
|
//----------------newly added for better control of recoloring---------------//
|
|
if (nA/(nA+nB)>=Sn_grey && nA/(nA+nB) <= Sw_grey && porosity !=1.0){
|
|
//delta = 0.0;
|
|
delta = -0.111111111111111*C*W*GreyDiff*nA*nB*nAB*nz;
|
|
jA = 0.5*uz*(nA+nB)*(1.0+mobility_ratio);
|
|
jB = 0.5*uz*(nA+nB)*(1.0-mobility_ratio);
|
|
}
|
|
if (nA/(nA+nB)>Sw_grey && porosity !=1.0) delta = -1.0*delta;
|
|
//---------------------------------------------------------------------------//
|
|
if (RecoloringOff==true && porosity !=1.0) delta=0;
|
|
|
|
a1 = (0.1111111111111111*(nA+4.5*jA))+delta;
|
|
b1 = (0.1111111111111111*(nB+4.5*jB))-delta;
|
|
a2 = (0.1111111111111111*(nA-4.5*jA))-delta;
|
|
b2 = (0.1111111111111111*(nB-4.5*jB))+delta;
|
|
|
|
Aq[5*Np+n] = a1;
|
|
Bq[5*Np+n] = b1;
|
|
Aq[6*Np+n] = a2;
|
|
Bq[6*Np+n] = b2;
|
|
//...............................................
|
|
|
|
}
|
|
}
|
|
}
|
|
|
|
__global__ void dvc_ScaLBL_PhaseField_InitFromRestart(double *Den, double *Aq, double *Bq, int start, int finish, int Np){
|
|
int idx;
|
|
double nA,nB;
|
|
|
|
int S = Np/NBLOCKS/NTHREADS + 1;
|
|
for (int s=0; s<S; s++){
|
|
//........Get 1-D index for this thread....................
|
|
idx = S*blockIdx.x*blockDim.x + s*blockDim.x + threadIdx.x + start;
|
|
if (idx<finish) {
|
|
|
|
nA = Den[idx];
|
|
nB = Den[Np+idx];
|
|
|
|
Aq[idx]=0.3333333333333333*nA;
|
|
Aq[Np+idx]=0.1111111111111111*nA;
|
|
Aq[2*Np+idx]=0.1111111111111111*nA;
|
|
Aq[3*Np+idx]=0.1111111111111111*nA;
|
|
Aq[4*Np+idx]=0.1111111111111111*nA;
|
|
Aq[5*Np+idx]=0.1111111111111111*nA;
|
|
Aq[6*Np+idx]=0.1111111111111111*nA;
|
|
|
|
Bq[idx]=0.3333333333333333*nB;
|
|
Bq[Np+idx]=0.1111111111111111*nB;
|
|
Bq[2*Np+idx]=0.1111111111111111*nB;
|
|
Bq[3*Np+idx]=0.1111111111111111*nB;
|
|
Bq[4*Np+idx]=0.1111111111111111*nB;
|
|
Bq[5*Np+idx]=0.1111111111111111*nB;
|
|
Bq[6*Np+idx]=0.1111111111111111*nB;
|
|
}
|
|
}
|
|
}
|
|
|
|
//Model-1 & 4
|
|
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 *Vel, double *Pressure,
|
|
double rhoA, double rhoB, double tauA, double tauB,double tauA_eff,double tauB_eff, double alpha, double beta,
|
|
double Fx, double Fy, double Fz, int strideY, int strideZ, int start, int finish, int Np){
|
|
|
|
//cudaProfilerStart();
|
|
//cudaFuncSetCacheConfig(dvc_ScaLBL_D3Q19_AAeven_GreyscaleColor, cudaFuncCachePreferL1);
|
|
|
|
dvc_ScaLBL_D3Q19_AAeven_GreyscaleColor<<<NBLOCKS,NTHREADS >>>(Map, dist, Aq, Bq, Den, Phi, GreySolidGrad, Poros, Perm, Vel, Pressure,
|
|
rhoA, rhoB, tauA, tauB, tauA_eff, tauB_eff, alpha, beta, Fx, Fy, Fz, strideY, strideZ, start, finish, Np);
|
|
cudaError_t err = cudaGetLastError();
|
|
if (cudaSuccess != err){
|
|
printf("CUDA error in ScaLBL_D3Q19_AAeven_GreyscaleColor: %s \n",cudaGetErrorString(err));
|
|
}
|
|
//cudaProfilerStop();
|
|
|
|
}
|
|
|
|
//Model-1 & 4
|
|
extern "C" void ScaLBL_D3Q19_AAodd_GreyscaleColor(int *d_neighborList, int *Map, double *dist, double *Aq, double *Bq, double *Den,
|
|
double *Phi, double *GreySolidGrad, double *Poros,double *Perm,double *Vel,double *Pressure,
|
|
double rhoA, double rhoB, double tauA, double tauB, double tauA_eff,double tauB_eff, double alpha, double beta,
|
|
double Fx, double Fy, double Fz, int strideY, int strideZ, int start, int finish, int Np){
|
|
|
|
//cudaProfilerStart();
|
|
//cudaFuncSetCacheConfig(dvc_ScaLBL_D3Q19_AAodd_GreyscaleColor, cudaFuncCachePreferL1);
|
|
|
|
dvc_ScaLBL_D3Q19_AAodd_GreyscaleColor<<<NBLOCKS,NTHREADS >>>(d_neighborList, Map, dist, Aq, Bq, Den, Phi, GreySolidGrad, Poros, Perm,Vel,Pressure,
|
|
|
|
rhoA, rhoB, tauA, tauB, tauA_eff, tauB_eff,alpha, beta, Fx, Fy, Fz, strideY, strideZ, start, finish, Np);
|
|
|
|
cudaError_t err = cudaGetLastError();
|
|
if (cudaSuccess != err){
|
|
printf("CUDA error in ScaLBL_D3Q19_AAodd_GreyscaleColor: %s \n",cudaGetErrorString(err));
|
|
}
|
|
//cudaProfilerStop();
|
|
}
|
|
|
|
extern "C" void ScaLBL_PhaseField_InitFromRestart(double *Den, double *Aq, double *Bq, int start, int finish, int Np){
|
|
dvc_ScaLBL_PhaseField_InitFromRestart<<<NBLOCKS,NTHREADS >>>(Den, Aq, Bq, start, finish, Np);
|
|
cudaError_t err = cudaGetLastError();
|
|
if (cudaSuccess != err){
|
|
printf("CUDA error in ScaLBL_PhaseField_InitFromRestart: %s \n",cudaGetErrorString(err));
|
|
}
|
|
}
|
|
|
|
//Model-1 & 4 with capillary pressure penalty
|
|
extern "C" void ScaLBL_D3Q19_AAeven_GreyscaleColor_CP(int *Map, double *dist, double *Aq, double *Bq, double *Den,
|
|
double *Phi, double *GreySolidW, double *GreySn, double *GreySw, double *GreyKn, double *GreyKw, double *Poros,
|
|
double *Perm,double *Vel,double *MobilityRatio, double *Pressure,
|
|
double rhoA, double rhoB, double tauA, double tauB,double tauA_eff,double tauB_eff, double alpha, double beta,
|
|
double Fx, double Fy, double Fz, bool RecoloringOff, int strideY, int strideZ, int start, int finish, int Np){
|
|
|
|
dvc_ScaLBL_D3Q19_AAeven_GreyscaleColor_CP<<<NBLOCKS,NTHREADS >>>(Map, dist, Aq, Bq, Den, Phi, GreySolidW, GreySn, GreySw,
|
|
GreyKn, GreyKw, Poros, Perm, Vel, MobilityRatio, Pressure,
|
|
rhoA, rhoB, tauA, tauB, tauA_eff, tauB_eff, alpha, beta, Fx, Fy, Fz, RecoloringOff, strideY, strideZ, start, finish, Np);
|
|
|
|
cudaError_t err = cudaGetLastError();
|
|
if (cudaSuccess != err){
|
|
printf("CUDA error in ScaLBL_D3Q19_AAeven_GreyscaleColor_CP: %s \n",cudaGetErrorString(err));
|
|
}
|
|
|
|
}
|
|
|
|
//Model-1 & 4 with capillary pressure penalty
|
|
extern "C" void ScaLBL_D3Q19_AAodd_GreyscaleColor_CP(int *d_neighborList, int *Map, double *dist, double *Aq, double *Bq, double *Den,
|
|
double *Phi, double *GreySolidW, double *GreySn, double *GreySw, double *GreyKn, double *GreyKw, double *Poros,
|
|
double *Perm,double *Vel, double *MobilityRatio, double *Pressure,
|
|
double rhoA, double rhoB, double tauA, double tauB, double tauA_eff,double tauB_eff, double alpha, double beta,
|
|
double Fx, double Fy, double Fz, bool RecoloringOff, int strideY, int strideZ, int start, int finish, int Np){
|
|
|
|
dvc_ScaLBL_D3Q19_AAodd_GreyscaleColor_CP<<<NBLOCKS,NTHREADS >>>(d_neighborList, Map, dist, Aq, Bq, Den, Phi, GreySolidW, GreySn,
|
|
GreySw, GreyKn, GreyKw, Poros, Perm, Vel, MobilityRatio, Pressure,
|
|
rhoA, rhoB, tauA, tauB, tauA_eff, tauB_eff,alpha, beta, Fx, Fy, Fz, RecoloringOff, strideY, strideZ, start, finish, Np);
|
|
|
|
cudaError_t err = cudaGetLastError();
|
|
if (cudaSuccess != err){
|
|
printf("CUDA error in ScaLBL_D3Q19_AAodd_GreyscaleColor_CP: %s \n",cudaGetErrorString(err));
|
|
}
|
|
}
|