GPU standard MRT absperm simulator: move the body force execution from normal space to moment space

This commit is contained in:
Rex Zhe Li 2020-02-24 17:24:11 -05:00
parent c11cfcf069
commit fa4a20ddf0

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@ -786,11 +786,36 @@ dvc_ScaLBL_AAodd_MRT(int *neighborList, double *dist, int start, int finish, int
//..............incorporate external force................................................
//..............carry out relaxation process...............................................
m1 = m1 + rlx_setA*((19*(jx*jx+jy*jy+jz*jz)/rho - 11*rho) - m1);
m2 = m2 + rlx_setA*((3*rho - 5.5*(jx*jx+jy*jy+jz*jz)/rho) - m2);
m4 = m4 + rlx_setB*((-0.6666666666666666*jx) - m4);
m6 = m6 + rlx_setB*((-0.6666666666666666*jy) - m6);
m8 = m8 + rlx_setB*((-0.6666666666666666*jz) - m8);
// m1 = m1 + rlx_setA*((19*(jx*jx+jy*jy+jz*jz)/rho - 11*rho) - m1);
// m2 = m2 + rlx_setA*((3*rho - 5.5*(jx*jx+jy*jy+jz*jz)/rho) - m2);
// m4 = m4 + rlx_setB*((-0.6666666666666666*jx) - m4);
// m6 = m6 + rlx_setB*((-0.6666666666666666*jy) - m6);
// m8 = m8 + rlx_setB*((-0.6666666666666666*jz) - m8);
// m9 = m9 + rlx_setA*(((2*jx*jx-jy*jy-jz*jz)/rho) - m9);
// m10 = m10 + rlx_setA*(-0.5*((2*jx*jx-jy*jy-jz*jz)/rho) - m10);
// m11 = m11 + rlx_setA*(((jy*jy-jz*jz)/rho) - m11);
// m12 = m12 + rlx_setA*(-0.5*((jy*jy-jz*jz)/rho) - m12);
// m13 = m13 + rlx_setA*((jx*jy/rho) - m13);
// m14 = m14 + rlx_setA*((jy*jz/rho) - m14);
// m15 = m15 + rlx_setA*((jx*jz/rho) - m15);
// m16 = m16 + rlx_setB*( - m16);
// m17 = m17 + rlx_setB*( - m17);
// m18 = m18 + rlx_setB*( - m18);
//Body force is executed in the moment space
m1 = m1 + rlx_setA*((19*(jx*jx+jy*jy+jz*jz)/rho - 11*rho) - m1)
+ (1-0.5*rlx_setA)*38*(Fx*jx+Fy*jy+Fz*jz)/rho;
m2 = m2 + rlx_setA*((3*rho - 5.5*(jx*jx+jy*jy+jz*jz)/rho) - m2)
+ (1-0.5*rlx_setA)*11*(-Fx*jx-Fy*jy-Fz*jz)/rho;
jx = jx + Fx;
m4 = m4 + rlx_setB*((-0.6666666666666666*jx) - m4)
+ (1-0.5*rlx_setB)*(-0.6666666666666666*Fx);
jy = jy + Fy;
m6 = m6 + rlx_setB*((-0.6666666666666666*jy) - m6)
+ (1-0.5*rlx_setB)*(-0.6666666666666666*Fy);
jz = jz + Fz;
m8 = m8 + rlx_setB*((-0.6666666666666666*jz) - m8)
+ (1-0.5*rlx_setB)*(-0.6666666666666666*Fz);
m9 = m9 + rlx_setA*(((2*jx*jx-jy*jy-jz*jz)/rho) - m9);
m10 = m10 + rlx_setA*(-0.5*((2*jx*jx-jy*jy-jz*jz)/rho) - m10);
m11 = m11 + rlx_setA*(((jy*jy-jz*jz)/rho) - m11);
@ -809,117 +834,157 @@ dvc_ScaLBL_AAodd_MRT(int *neighborList, double *dist, int start, int finish, int
dist[n] = fq;
// q = 1
fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(jx-m4)+mrt_V6*(m9-m10)+0.16666666*Fx;
//fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(jx-m4)+mrt_V6*(m9-m10)+0.16666666*Fx;
fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(jx-m4)+mrt_V6*(m9-m10);
nread = neighborList[n+Np];
dist[nread] = fq;
// q=2
fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(m4-jx)+mrt_V6*(m9-m10) - 0.16666666*Fx;
//fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(m4-jx)+mrt_V6*(m9-m10) - 0.16666666*Fx;
fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(m4-jx)+mrt_V6*(m9-m10);
nread = neighborList[n];
dist[nread] = 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) + 0.16666666*Fy;
//fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(jy-m6)+mrt_V7*(m10-m9)+mrt_V8*(m11-m12) + 0.16666666*Fy;
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[nread] = 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) - 0.16666666*Fy;
//fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(m6-jy)+mrt_V7*(m10-m9)+mrt_V8*(m11-m12) - 0.16666666*Fy;
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[nread] = 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) + 0.16666666*Fz;
//fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(jz-m8)+mrt_V7*(m10-m9)+mrt_V8*(m12-m11) + 0.16666666*Fz;
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[nread] = 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) - 0.16666666*Fz;
//fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(m8-jz)+mrt_V7*(m10-m9)+mrt_V8*(m12-m11) - 0.16666666*Fz;
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[nread] = 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) + 0.08333333333*(Fx+Fy);
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) + 0.08333333333*(Fx+Fy);
mrt_V8*m11+mrt_V12*m12+0.25*m13+0.125*(m16-m17);
nread = neighborList[n+7*Np];
dist[nread] = 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) - 0.08333333333*(Fx+Fy);
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) - 0.08333333333*(Fx+Fy);
+mrt_V12*m12+0.25*m13+0.125*(m17-m16);
nread = neighborList[n+6*Np];
dist[nread] = 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) + 0.08333333333*(Fx-Fy);
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) + 0.08333333333*(Fx-Fy);
mrt_V8*m11+mrt_V12*m12-0.25*m13+0.125*(m16+m17);
nread = neighborList[n+9*Np];
dist[nread] = 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)- 0.08333333333*(Fx-Fy);
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)- 0.08333333333*(Fx-Fy);
mrt_V8*m11+mrt_V12*m12-0.25*m13-0.125*(m16+m17);
nread = neighborList[n+8*Np];
dist[nread] = 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) + 0.08333333333*(Fx+Fz);
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) + 0.08333333333*(Fx+Fz);
-mrt_V12*m12+0.25*m15+0.125*(m18-m16);
nread = neighborList[n+11*Np];
dist[nread] = 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) - 0.08333333333*(Fx+Fz);
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) - 0.08333333333*(Fx+Fz);
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[nread]= 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) + 0.08333333333*(Fx-Fz);
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) + 0.08333333333*(Fx-Fz);
-mrt_V12*m12-0.25*m15-0.125*(m16+m18);
nread = neighborList[n+13*Np];
dist[nread] = 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) - 0.08333333333*(Fx-Fz);
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) - 0.08333333333*(Fx-Fz);
-mrt_V12*m12-0.25*m15+0.125*(m16+m18);
nread = neighborList[n+12*Np];
dist[nread] = 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) + 0.08333333333*(Fy+Fz);
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) + 0.08333333333*(Fy+Fz);
-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)- 0.08333333333*(Fy+Fz);
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)- 0.08333333333*(Fy+Fz);
-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) + 0.08333333333*(Fy-Fz);
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) + 0.08333333333*(Fy-Fz);
-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) - 0.08333333333*(Fy-Fz);
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) - 0.08333333333*(Fy-Fz);
-mrt_V6*m9-mrt_V7*m10-0.25*m14-0.125*(m17+m18);
nread = neighborList[n+16*Np];
dist[nread] = fq;
@ -1222,11 +1287,36 @@ dvc_ScaLBL_AAeven_MRT(double *dist, int start, int finish, int Np, double rlx_se
//..............incorporate external force................................................
//..............carry out relaxation process...............................................
m1 = m1 + rlx_setA*((19*(jx*jx+jy*jy+jz*jz)/rho - 11*rho) - m1);
m2 = m2 + rlx_setA*((3*rho - 5.5*(jx*jx+jy*jy+jz*jz)/rho) - m2);
m4 = m4 + rlx_setB*((-0.6666666666666666*jx) - m4);
m6 = m6 + rlx_setB*((-0.6666666666666666*jy) - m6);
m8 = m8 + rlx_setB*((-0.6666666666666666*jz) - m8);
// m1 = m1 + rlx_setA*((19*(jx*jx+jy*jy+jz*jz)/rho - 11*rho) - m1);
// m2 = m2 + rlx_setA*((3*rho - 5.5*(jx*jx+jy*jy+jz*jz)/rho) - m2);
// m4 = m4 + rlx_setB*((-0.6666666666666666*jx) - m4);
// m6 = m6 + rlx_setB*((-0.6666666666666666*jy) - m6);
// m8 = m8 + rlx_setB*((-0.6666666666666666*jz) - m8);
// m9 = m9 + rlx_setA*(((2*jx*jx-jy*jy-jz*jz)/rho) - m9);
// m10 = m10 + rlx_setA*(-0.5*((2*jx*jx-jy*jy-jz*jz)/rho) - m10);
// m11 = m11 + rlx_setA*(((jy*jy-jz*jz)/rho) - m11);
// m12 = m12 + rlx_setA*(-0.5*((jy*jy-jz*jz)/rho) - m12);
// m13 = m13 + rlx_setA*((jx*jy/rho) - m13);
// m14 = m14 + rlx_setA*((jy*jz/rho) - m14);
// m15 = m15 + rlx_setA*((jx*jz/rho) - m15);
// m16 = m16 + rlx_setB*( - m16);
// m17 = m17 + rlx_setB*( - m17);
// m18 = m18 + rlx_setB*( - m18);
//Body force is executed in the moment space
m1 = m1 + rlx_setA*((19*(jx*jx+jy*jy+jz*jz)/rho - 11*rho) - m1)
+ (1-0.5*rlx_setA)*38*(Fx*jx+Fy*jy+Fz*jz)/rho;
m2 = m2 + rlx_setA*((3*rho - 5.5*(jx*jx+jy*jy+jz*jz)/rho) - m2)
+ (1-0.5*rlx_setA)*11*(-Fx*jx-Fy*jy-Fz*jz)/rho;
jx = jx + Fx;
m4 = m4 + rlx_setB*((-0.6666666666666666*jx) - m4)
+ (1-0.5*rlx_setB)*(-0.6666666666666666*Fx);
jy = jy + Fy;
m6 = m6 + rlx_setB*((-0.6666666666666666*jy) - m6)
+ (1-0.5*rlx_setB)*(-0.6666666666666666*Fy);
jz = jz + Fz;
m8 = m8 + rlx_setB*((-0.6666666666666666*jz) - m8)
+ (1-0.5*rlx_setB)*(-0.6666666666666666*Fz);
m9 = m9 + rlx_setA*(((2*jx*jx-jy*jy-jz*jz)/rho) - m9);
m10 = m10 + rlx_setA*(-0.5*((2*jx*jx-jy*jy-jz*jz)/rho) - m10);
m11 = m11 + rlx_setA*(((jy*jy-jz*jz)/rho) - m11);
@ -1237,6 +1327,7 @@ dvc_ScaLBL_AAeven_MRT(double *dist, int start, int finish, int Np, double rlx_se
m16 = m16 + rlx_setB*( - m16);
m17 = m17 + rlx_setB*( - m17);
m18 = m18 + rlx_setB*( - m18);
//.......................................................................................................
//.................inverse transformation......................................................
@ -1245,105 +1336,145 @@ dvc_ScaLBL_AAeven_MRT(double *dist, int start, int finish, int Np, double rlx_se
dist[n] = fq;
// q = 1
fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(jx-m4)+mrt_V6*(m9-m10) + 0.16666666*Fx;
//fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(jx-m4)+mrt_V6*(m9-m10) + 0.16666666*Fx;
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) - 0.16666666*Fx;
//fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(m4-jx)+mrt_V6*(m9-m10) - 0.16666666*Fx;
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) + 0.16666666*Fy;
//fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(jy-m6)+mrt_V7*(m10-m9)+mrt_V8*(m11-m12) + 0.16666666*Fy;
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) - 0.16666666*Fy;
//fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(m6-jy)+mrt_V7*(m10-m9)+mrt_V8*(m11-m12) - 0.16666666*Fy;
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) + 0.16666666*Fz;
//fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(jz-m8)+mrt_V7*(m10-m9)+mrt_V8*(m12-m11) + 0.16666666*Fz;
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) - 0.16666666*Fz;
//fq = mrt_V1*rho-mrt_V4*m1-mrt_V5*m2+0.1*(m8-jz)+mrt_V7*(m10-m9)+mrt_V8*(m12-m11) - 0.16666666*Fz;
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) +
// 0.08333333333*(Fx+Fy);
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) +
0.08333333333*(Fx+Fy);
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) - 0.08333333333*(Fx+Fy);
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) - 0.08333333333*(Fx+Fy);
+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)+
// 0.08333333333*(Fx-Fy);
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)+
0.08333333333*(Fx-Fy);
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)-
// 0.08333333333*(Fx-Fy);
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)-
0.08333333333*(Fx-Fy);
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) + 0.08333333333*(Fx+Fz);
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) + 0.08333333333*(Fx+Fz);
-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)-
// 0.08333333333*(Fx+Fz);
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)-
0.08333333333*(Fx+Fz);
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) + 0.08333333333*(Fx-Fz);
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) + 0.08333333333*(Fx-Fz);
-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) - 0.08333333333*(Fx-Fz);
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) - 0.08333333333*(Fx-Fz);
-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) + 0.08333333333*(Fy+Fz);
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) + 0.08333333333*(Fy+Fz);
-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)- 0.08333333333*(Fy+Fz);
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)- 0.08333333333*(Fy+Fz);
-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) + 0.08333333333*(Fy-Fz);
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) + 0.08333333333*(Fy-Fz);
-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) - 0.08333333333*(Fy-Fz);
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) - 0.08333333333*(Fy-Fz);
-mrt_V6*m9-mrt_V7*m10-0.25*m14-0.125*(m17+m18);
dist[18*Np+n] = fq;
//........................................................................
}