LBPM/analysis/SubPhase.cpp
2023-10-23 04:18:20 -04:00

955 lines
36 KiB
C++

/*
Copyright 2013--2018 James E. McClure, Virginia Polytechnic & State University
Copyright Equnior ASA
This file is part of the Open Porous Media project (OPM).
OPM is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
OPM is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with OPM. If not, see <http://www.gnu.org/licenses/>.
*/
#include "analysis/SubPhase.h"
// Constructor
SubPhase::SubPhase(std::shared_ptr<Domain> dm) : Dm(dm) {
Nx = dm->Nx;
Ny = dm->Ny;
Nz = dm->Nz;
Volume = (Nx - 2) * (Ny - 2) * (Nz - 2) * Dm->nprocx() * Dm->nprocy() *
Dm->nprocz() * 1.0;
morph_w = std::shared_ptr<Minkowski>(new Minkowski(Dm));
morph_n = std::shared_ptr<Minkowski>(new Minkowski(Dm));
morph_i = std::shared_ptr<Minkowski>(new Minkowski(Dm));
// Global arrays
PhaseID.resize(Nx, Ny, Nz);
PhaseID.fill(0);
Label_WP.resize(Nx, Ny, Nz);
Label_WP.fill(0);
Label_NWP.resize(Nx, Ny, Nz);
Label_NWP.fill(0);
Rho_n.resize(Nx, Ny, Nz);
Rho_n.fill(0);
Rho_w.resize(Nx, Ny, Nz);
Rho_w.fill(0);
Pressure.resize(Nx, Ny, Nz);
Pressure.fill(0);
Phi.resize(Nx, Ny, Nz);
Phi.fill(0);
DelPhi.resize(Nx, Ny, Nz);
DelPhi.fill(0);
Vel_x.resize(Nx, Ny, Nz);
Vel_x.fill(0); // Gradient of the phase indicator field
Vel_y.resize(Nx, Ny, Nz);
Vel_y.fill(0);
Vel_z.resize(Nx, Ny, Nz);
Vel_z.fill(0);
Dissipation.resize(Nx, Ny, Nz);
Dissipation.fill(0);
SDs.resize(Nx, Ny, Nz);
SDs.fill(0);
//.........................................
//.........................................
if (Dm->rank() == 0) {
bool WriteHeader = false;
SUBPHASE = fopen("subphase.csv", "r");
if (SUBPHASE != NULL)
fclose(SUBPHASE);
else
WriteHeader = true;
SUBPHASE = fopen("subphase.csv", "a+");
if (WriteHeader) {
// If timelog is empty, write a short header to list the averages
fprintf(SUBPHASE, "time rn rw nun nuw Fx Fy Fz iftwn wet ");
fprintf(SUBPHASE, "pwc pwd pnc pnd "); // pressures
fprintf(SUBPHASE, "Mwc Mwd Mwi Mnc Mnd Mni Msw Msn "); // mass
fprintf(
SUBPHASE,
"Pwc_x Pwd_x Pwi_x Pnc_x Pnd_x Pni_x Psw_x Psn_x "); // momentum
fprintf(SUBPHASE,
"Pwc_y Pwd_y Pwi_y Pnc_y Pnd_y Pni_y Psw_y Psn_y ");
fprintf(SUBPHASE,
"Pwc_z Pwd_z Pwi_z Pnc_z Pnd_z Pni_z Psw_z Psn_z ");
fprintf(SUBPHASE, "Kwc Kwd Kwi Knc Knd Kni "); // kinetic energy
fprintf(SUBPHASE, "Dwc Dwd Dnc Dnd "); // viscous dissipation
fprintf(SUBPHASE, "Vwc Awc Hwc Xwc "); // wc region
fprintf(SUBPHASE, "Vwd Awd Hwd Xwd Nwd "); // wd region
fprintf(SUBPHASE, "Vnc Anc Hnc Xnc "); // nc region
fprintf(SUBPHASE, "Vnd And Hnd Xnd Nnd "); // nd regionin
fprintf(SUBPHASE, "Vi Ai Hi Xi "); // interface region
fprintf(SUBPHASE, "Vic Aic Hic Xic Nic\n"); // interface region
// stress tensor?
}
} else {
char LocalRankString[8];
sprintf(LocalRankString, "%05d", Dm->rank());
char LocalRankFilename[40];
sprintf(LocalRankFilename, "%s%s", "subphase.csv.", LocalRankString);
SUBPHASE = fopen(LocalRankFilename, "a+");
fprintf(SUBPHASE, "time rn rw nun nuw Fx Fy Fz iftwn wet ");
fprintf(SUBPHASE, "pwc pwd pnc pnd "); // pressures
fprintf(SUBPHASE, "Mwc Mwd Mwi Mnc Mnd Mni Msw Msn "); // mass
fprintf(SUBPHASE,
"Pwc_x Pwd_x Pwi_x Pnc_x Pnd_x Pni_x Psw_x Psn_x "); // momentum
fprintf(SUBPHASE, "Pwc_y Pwd_y Pwi_y Pnc_y Pnd_y Pni_y Psw_y Psn_y ");
fprintf(SUBPHASE, "Pwc_z Pwd_z Pwi_z Pnc_z Pnd_z Pni_z Psw_z Psn_z ");
fprintf(SUBPHASE, "Kwc Kwd Kwi Knc Knd Kni "); // kinetic energy
fprintf(SUBPHASE, "Dwc Dwd Dnc Dnd "); // viscous dissipation
fprintf(SUBPHASE, "Vwc Awc Hwc Xwc "); // wc region
fprintf(SUBPHASE, "Vwd Awd Hwd Xwd Nwd "); // wd region
fprintf(SUBPHASE, "Vnc Anc Hnc Xnc "); // nc region
fprintf(SUBPHASE, "Vnd And Hnd Xnd Nnd "); // nd region
fprintf(SUBPHASE, "Vi Ai Hi Xi "); // interface region
fprintf(SUBPHASE, "Vic Aic Hic Xic Nic\n"); // interface region
}
if (Dm->rank() == 0) {
bool WriteHeader = false;
TIMELOG = fopen("timelog.csv", "r");
if (TIMELOG != NULL)
fclose(TIMELOG);
else
WriteHeader = true;
TIMELOG = fopen("timelog.csv", "a+");
if (WriteHeader) {
// If timelog is empty, write a short header to list the averages
fprintf(TIMELOG,
"sw krw krn krwf krnf vw vn force pw pn wet peff\n");
}
}
}
// Destructor
SubPhase::~SubPhase() {
if (SUBPHASE != NULL) {
fclose(SUBPHASE);
}
}
void SubPhase::Write(int timestep) {
if (Dm->rank() == 0) {
fprintf(SUBPHASE, "%i %.8g %.8g %.8g %.8g %.8g %.8g %.8g %.8g %.8g ",
timestep, rho_n, rho_w, nu_n, nu_w, Fx, Fy, Fz, gamma_wn,
total_wetting_interaction_global);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g ", gwc.p, gwd.p, gnc.p, gnd.p);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g %.8g %.8g %.8g %.8g ", gwc.M,
gwd.M, giwn.Mw, gnc.M, gnd.M, giwn.Mn, gifs.Mw, gifs.Mn);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g %.8g %.8g %.8g %.8g ", gwc.Px,
gwd.Px, giwn.Pwx, gnc.Px, gnd.Px, giwn.Pnx, gifs.Pwx, gifs.Pnx);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g %.8g %.8g %.8g %.8g ", gwc.Py,
gwd.Py, giwn.Pwy, gnc.Py, gnd.Py, giwn.Pny, gifs.Pwy, gifs.Pny);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g %.8g %.8g %.8g %.8g ", gwc.Pz,
gwd.Pz, giwn.Pwz, gnc.Pz, gnd.Pz, giwn.Pnz, gifs.Pwz, gifs.Pnz);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g %.8g %.8g ", gwc.K, gwd.K,
giwn.Kw, gnc.K, gnd.K, giwn.Kn);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g ", gwc.visc, gwd.visc, gnc.visc,
gnd.visc);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g ", gwc.V, gwc.A, gwc.H, gwc.X);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g %i ", gwd.V, gwd.A, gwd.H, gwd.X,
gwd.Nc);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g ", gnc.V, gnc.A, gnc.H, gnc.X);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g %i ", gnd.V, gnd.A, gnd.H, gnd.X,
gnd.Nc);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g ", giwn.V, giwn.A, giwn.H,
giwn.X);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g %i\n", giwnc.V, giwnc.A, giwnc.H,
giwnc.X, giwnc.Nc);
fflush(SUBPHASE);
} else {
fprintf(SUBPHASE, "%i %.8g %.8g %.8g %.8g %.8g %.8g %.8g %.8g %.8g ",
timestep, rho_n, rho_w, nu_n, nu_w, Fx, Fy, Fz, gamma_wn,
total_wetting_interaction);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g ", wc.p, wd.p, nc.p, nd.p);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g %.8g %.8g %.8g %.8g ", wc.M,
wd.M, iwn.Mw, nc.M, nd.M, iwn.Mn, ifs.Mw, ifs.Mn);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g %.8g %.8g %.8g %.8g ", wc.Px,
wd.Px, iwn.Pwx, nc.Px, nd.Px, iwn.Pnx, ifs.Pwx, ifs.Pnx);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g %.8g %.8g %.8g %.8g ", wc.Py,
wd.Py, iwn.Pwy, nc.Py, nd.Py, iwn.Pny, ifs.Pwy, ifs.Pny);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g %.8g %.8g %.8g %.8g ", wc.Pz,
wd.Pz, iwn.Pwz, nc.Pz, nd.Pz, iwn.Pnz, ifs.Pwz, ifs.Pnz);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g %.8g %.8g ", wc.K, wd.K, iwn.Kw,
nc.K, nd.K, iwn.Kn);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g ", wc.visc, wd.visc, nc.visc,
nd.visc);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g ", wc.V, wc.A, wc.H, wc.X);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g %i ", wd.V, wd.A, wd.H, wd.X,
wd.Nc);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g ", nc.V, nc.A, nc.H, nc.X);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g %i ", nd.V, nd.A, nd.H, nd.X,
nd.Nc);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g ", iwn.V, iwn.A, iwn.H, iwn.X);
fprintf(SUBPHASE, "%.8g %.8g %.8g %.8g\n", iwnc.V, iwnc.A, iwnc.H,
iwnc.X);
}
}
void SubPhase::SetParams(double rhoA, double rhoB, double tauA, double tauB,
double force_x, double force_y, double force_z,
double alpha, double B) {
Fx = force_x;
Fy = force_y;
Fz = force_z;
rho_n = rhoA;
rho_w = rhoB;
nu_n = (tauA - 0.5) / 3.f;
nu_w = (tauB - 0.5) / 3.f;
gamma_wn = 5.796 * alpha;
beta = B;
}
void SubPhase::Basic() {
int i, j, k, n, imin, jmin, kmin, kmax;
// If external boundary conditions are set, do not average over the inlet
kmin = 1;
kmax = Nz - 1;
imin = jmin = 1;
nb.reset();
wb.reset();
iwn.reset();
double count_w = 0.0;
double count_n = 0.0;
/* compute the laplacian */
Dm->CommunicateMeshHalo(Phi);
for (int k = 1; k < Nz - 1; k++) {
for (int j = 1; j < Ny - 1; j++) {
for (int i = 1; i < Nx - 1; i++) {
// Compute all of the derivatives using finite differences
double fx = 0.5 * (Phi(i + 1, j, k) - Phi(i - 1, j, k));
double fy = 0.5 * (Phi(i, j + 1, k) - Phi(i, j - 1, k));
double fz = 0.5 * (Phi(i, j, k + 1) - Phi(i, j, k - 1));
DelPhi(i, j, k) = sqrt(fx * fx + fy * fy + fz * fz);
}
}
}
Dm->CommunicateMeshHalo(DelPhi);
for (k = 0; k < Nz; k++) {
for (j = 0; j < Ny; j++) {
for (i = 0; i < Nx; i++) {
n = k * Nx * Ny + j * Nx + i;
// Compute volume averages
if (Dm->id[n] > 0) {
// compute density
double nA = Rho_n(n);
double nB = Rho_w(n);
double phi = (nA - nB) / (nA + nB);
Phi(n) = phi;
}
if (Phi(n) != Phi(n)) {
// check for NaN
Phi(n) = 0.0;
//printf("Nan at %i %i %i \n",i,j,k);
}
}
}
}
for (k = kmin; k < kmax; k++) {
for (j = jmin; j < Ny - 1; j++) {
for (i = imin; i < Nx - 1; i++) {
n = k * Nx * Ny + j * Nx + i;
// Compute volume averages
if (Dm->id[n] > 0) {
// compute density
double nA = Rho_n(n);
double nB = Rho_w(n);
double phi = (nA - nB) / (nA + nB);
if (phi > 0.0) {
nA = 1.0;
nb.V += 1.0;
nb.M += nA * rho_n;
// velocity
nb.Px += rho_n * nA * Vel_x(n);
nb.Py += rho_n * nA * Vel_y(n);
nb.Pz += rho_n * nA * Vel_z(n);
} else {
nB = 1.0;
wb.M += nB * rho_w;
wb.V += 1.0;
// velocity
wb.Px += rho_w * nB * Vel_x(n);
wb.Py += rho_w * nB * Vel_y(n);
wb.Pz += rho_w * nB * Vel_z(n);
}
if (phi > 0.99) {
nb.p += Pressure(n);
count_n += 1.0;
} else if (phi < -0.99) {
wb.p += Pressure(n);
count_w += 1.0;
}
/* compute the film contribution */
else if (SDs(i, j, k) < 2.0) {
if (phi > 0.0) {
nA = 1.0;
iwn.V += 1.0;
iwn.Mn += nA * rho_n;
// velocity
iwn.Pnx += rho_n * nA * Vel_x(n);
iwn.Pny += rho_n * nA * Vel_y(n);
iwn.Pnz += rho_n * nA * Vel_z(n);
} else {
nB = 1.0;
iwn.Mw += nB * rho_w;
iwn.V += 1.0;
iwn.Pwx += rho_w * nB * Vel_x(n);
iwn.Pwy += rho_w * nB * Vel_y(n);
iwn.Pwz += rho_w * nB * Vel_z(n);
}
}
}
}
}
}
total_wetting_interaction = count_wetting_interaction = 0.0;
total_wetting_interaction_global = count_wetting_interaction_global = 0.0;
for (k = kmin; k < kmax; k++) {
for (j = jmin; j < Ny - 1; j++) {
for (i = imin; i < Nx - 1; i++) {
n = k * Nx * Ny + j * Nx + i;
// compute contribution of wetting terms (within two voxels of solid)
if (Dm->id[n] > 0 && SDs(i, j, k) < 2.0) {
count_wetting_interaction += 1.0;
total_wetting_interaction += DelPhi(i, j, k);
}
}
}
}
total_wetting_interaction_global =
Dm->Comm.sumReduce(total_wetting_interaction);
count_wetting_interaction_global =
Dm->Comm.sumReduce(count_wetting_interaction);
gwb.V = Dm->Comm.sumReduce(wb.V);
gnb.V = Dm->Comm.sumReduce(nb.V);
gwb.M = Dm->Comm.sumReduce(wb.M);
gnb.M = Dm->Comm.sumReduce(nb.M);
gwb.Px = Dm->Comm.sumReduce(wb.Px);
gwb.Py = Dm->Comm.sumReduce(wb.Py);
gwb.Pz = Dm->Comm.sumReduce(wb.Pz);
gnb.Px = Dm->Comm.sumReduce(nb.Px);
gnb.Py = Dm->Comm.sumReduce(nb.Py);
gnb.Pz = Dm->Comm.sumReduce(nb.Pz);
giwn.Mw = Dm->Comm.sumReduce(iwn.Mw);
giwn.Pwx = Dm->Comm.sumReduce(iwn.Pwx);
giwn.Pwy = Dm->Comm.sumReduce(iwn.Pwy);
giwn.Pwz = Dm->Comm.sumReduce(iwn.Pwz);
giwn.Mn = Dm->Comm.sumReduce(iwn.Mn);
giwn.Pnx = Dm->Comm.sumReduce(iwn.Pnx);
giwn.Pny = Dm->Comm.sumReduce(iwn.Pny);
giwn.Pnz = Dm->Comm.sumReduce(iwn.Pnz);
count_w = Dm->Comm.sumReduce(count_w);
count_n = Dm->Comm.sumReduce(count_n);
if (count_w > 0.0)
gwb.p = Dm->Comm.sumReduce(wb.p) / count_w;
else
gwb.p = 0.0;
if (count_n > 0.0)
gnb.p = Dm->Comm.sumReduce(nb.p) / count_n;
else
gnb.p = 0.0;
// check for NaN
bool err = false;
if (gwb.V != gwb.V)
err = true;
if (gnb.V != gnb.V)
err = true;
if (gwb.p != gwb.p)
err = true;
if (gnb.p != gnb.p)
err = true;
if (gwb.Px != gwb.Px)
err = true;
if (gwb.Py != gwb.Py)
err = true;
if (gwb.Pz != gwb.Pz)
err = true;
if (gnb.Px != gnb.Px)
err = true;
if (gnb.Py != gnb.Py)
err = true;
if (gnb.Pz != gnb.Pz)
err = true;
if (Dm->rank() == 0) {
/* align flow direction based on total mass flux */
double dir_x = gwb.Px + gnb.Px;
double dir_y = gwb.Py + gnb.Py;
double dir_z = gwb.Pz + gnb.Pz;
double flow_magnitude = dir_x * dir_x + dir_y * dir_y + dir_z * dir_z;
double force_mag = sqrt(Fx * Fx + Fy * Fy + Fz * Fz);
if (force_mag > 0.0) {
dir_x = Fx / force_mag;
dir_y = Fy / force_mag;
dir_z = Fz / force_mag;
} else {
dir_x /= flow_magnitude;
dir_y /= flow_magnitude;
dir_z /= flow_magnitude;
}
if (Dm->BoundaryCondition == 1 || Dm->BoundaryCondition == 2 ||
Dm->BoundaryCondition == 3 || Dm->BoundaryCondition == 4) {
// compute the pressure drop
double pressure_drop = (Pressure(Nx * Ny + Nx + 1) - 1.0) / 3.0;
double length = ((Nz - 2) * Dm->nprocz());
force_mag -= pressure_drop / length;
}
if (force_mag == 0.0 && flow_magnitude == 0.0) {
// default to z direction
dir_x = 0.0;
dir_y = 0.0;
dir_z = 1.0;
force_mag = 1.0;
}
double Porosity = (gwb.V + gnb.V) / Dm->Volume;
double saturation = gwb.V / (gwb.V + gnb.V);
double water_flow_rate =
gwb.V * (gwb.Px * dir_x + gwb.Py * dir_y + gwb.Pz * dir_z) / gwb.M /
Dm->Volume;
double not_water_flow_rate =
gnb.V * (gnb.Px * dir_x + gnb.Py * dir_y + gnb.Pz * dir_z) / gnb.M /
Dm->Volume;
/* contribution from water films */
double water_film_flow_rate =
gwb.V * (giwn.Pwx * dir_x + giwn.Pwy * dir_y + giwn.Pwz * dir_z) /
gwb.M / Dm->Volume;
double not_water_film_flow_rate =
gnb.V * (giwn.Pnx * dir_x + giwn.Pny * dir_y + giwn.Pnz * dir_z) /
gnb.M / Dm->Volume;
//double total_flow_rate = water_flow_rate + not_water_flow_rate;
//double fractional_flow = water_flow_rate / total_flow_rate;
double h = Dm->voxel_length;
double krn = h * h * nu_n * Porosity * not_water_flow_rate / force_mag;
double krw = h * h * nu_w * Porosity * water_flow_rate / force_mag;
/* not counting films */
double krnf = krn - h * h * nu_n * Porosity * not_water_film_flow_rate /
force_mag;
double krwf =
krw - h * h * nu_w * Porosity * water_film_flow_rate / force_mag;
double eff_pressure = 1.0 / (krn + krw); // effective pressure drop
fprintf(TIMELOG,
"%.8g %.8g %.8g %.8g %.8g %.8g %.8g %.8g %.8g %.8g %.8g %.8g\n",
saturation, krw, krn, krwf, krnf, h * water_flow_rate,
h * not_water_flow_rate, force_mag, gwb.p, gnb.p,
total_wetting_interaction_global, eff_pressure);
fflush(TIMELOG);
}
if (err == true) {
// exception if simulation produceds NaN
printf("SubPhase.cpp: NaN encountered, may need to check simulation "
"parameters \n");
}
ASSERT(err == false);
}
inline void InterfaceTransportMeasures(double beta, double rA, double rB,
double nA, double nB, double nx,
double ny, double nz, double ux,
double uy, double uz, interface &I) {
double A1, A2, A3, A4, A5, A6;
double B1, B2, B3, B4, B5, B6;
double nAB, delta;
double phi = (nA - nB) / (nA + nB);
// Instantiate mass transport distributions
// Stationary value - distribution 0
nAB = 1.0 / (nA + 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;
//...............................................
// Cq = {0,1,0}
delta = beta * nA * nB * nAB * 0.1111111111111111 * ny;
if (!(nA * nB * nAB > 0))
delta = 0;
A3 = nA * (0.1111111111111111 * (1 + 4.5 * uy)) + delta;
B3 = nB * (0.1111111111111111 * (1 + 4.5 * uy)) - delta;
A4 = nA * (0.1111111111111111 * (1 - 4.5 * uy)) - delta;
B4 = nB * (0.1111111111111111 * (1 - 4.5 * uy)) + delta;
//...............................................
// q = 4
// Cq = {0,0,1}
delta = beta * nA * nB * nAB * 0.1111111111111111 * nz;
if (!(nA * nB * nAB > 0))
delta = 0;
A5 = nA * (0.1111111111111111 * (1 + 4.5 * uz)) + delta;
B5 = nB * (0.1111111111111111 * (1 + 4.5 * uz)) - delta;
A6 = nA * (0.1111111111111111 * (1 - 4.5 * uz)) - delta;
B6 = nB * (0.1111111111111111 * (1 - 4.5 * uz)) + delta;
double unx = (A1 - A2);
double uny = (A3 - A4);
double unz = (A5 - A6);
double uwx = (B1 - B2);
double uwy = (B3 - B4);
double uwz = (B5 - B6);
/*
I.Mn += rA*nA;
I.Mw += rB*nB;
I.Pnx += rA*nA*unx;
I.Pny += rA*nA*uny;
I.Pnz += rA*nA*unz;
I.Pwx += rB*nB*uwx;
I.Pwy += rB*nB*uwy;
I.Pwz += rB*nB*uwz;
I.Kn += rA*nA*(unx*unx + uny*uny + unz*unz);
I.Kw += rB*nB*(uwx*uwx + uwy*uwy + uwz*uwz);
*/
if (phi > 0.0) {
I.Mn += rA;
I.Pnx += rA * ux;
I.Pny += rA * uy;
I.Pnz += rA * uz;
} else {
I.Mw += rB;
I.Pwx += rB * ux;
I.Pwy += rB * uy;
I.Pwz += rB * uz;
}
I.Kn += rA * nA * (unx * unx + uny * uny + unz * unz);
I.Kw += rB * nB * (uwx * uwx + uwy * uwy + uwz * uwz);
}
void SubPhase::Full() {
int i, j, k, n, imin, jmin, kmin, kmax;
// If external boundary conditions are set, do not average over the inlet
kmin = 1;
kmax = Nz - 1;
imin = jmin = 1;
nd.reset();
nc.reset();
wd.reset();
wc.reset();
iwn.reset();
iwnc.reset();
ifs.reset();
Dm->CommunicateMeshHalo(Phi);
for (int k = 1; k < Nz - 1; k++) {
for (int j = 1; j < Ny - 1; j++) {
for (int i = 1; i < Nx - 1; i++) {
// Compute all of the derivatives using finite differences
double fx = 0.5 * (Phi(i + 1, j, k) - Phi(i - 1, j, k));
double fy = 0.5 * (Phi(i, j + 1, k) - Phi(i, j - 1, k));
double fz = 0.5 * (Phi(i, j, k + 1) - Phi(i, j, k - 1));
DelPhi(i, j, k) = sqrt(fx * fx + fy * fy + fz * fz);
}
}
}
Dm->CommunicateMeshHalo(DelPhi);
Dm->CommunicateMeshHalo(Vel_x);
Dm->CommunicateMeshHalo(Vel_y);
Dm->CommunicateMeshHalo(Vel_z);
for (int k = 1; k < Nz - 1; k++) {
for (int j = 1; j < Ny - 1; j++) {
for (int i = 1; i < Nx - 1; i++) {
// Compute velocity gradients using finite differences
double phi = Phi(i, j, k);
double nu = nu_n + 0.5 * (1.0 - phi) * (nu_w - nu_n);
double rho = rho_n + 0.5 * (1.0 - phi) * (rho_w - rho_n);
double ux = 0.5 * (Vel_x(i + 1, j, k) - Vel_x(i - 1, j, k));
double uy = 0.5 * (Vel_x(i, j + 1, k) - Vel_x(i, j - 1, k));
double uz = 0.5 * (Vel_x(i, j, k + 1) - Vel_x(i, j, k - 1));
double vx = 0.5 * (Vel_y(i + 1, j, k) - Vel_y(i - 1, j, k));
double vy = 0.5 * (Vel_y(i, j + 1, k) - Vel_y(i, j - 1, k));
double vz = 0.5 * (Vel_y(i, j, k + 1) - Vel_y(i, j, k - 1));
double wx = 0.5 * (Vel_z(i + 1, j, k) - Vel_z(i - 1, j, k));
double wy = 0.5 * (Vel_z(i, j + 1, k) - Vel_z(i, j - 1, k));
double wz = 0.5 * (Vel_z(i, j, k + 1) - Vel_z(i, j, k - 1));
if (SDs(i, j, k) > 2.0) {
Dissipation(i, j, k) = 2 * rho * nu *
(ux * ux + vy * vy + wz * wz +
0.5 * (vx + uy) * (vx + uy) +
0.5 * (vz + wy) * (vz + wy) +
0.5 * (uz + wx) * (uz + wx));
}
}
}
}
/* Set up geometric analysis of each region */
// non-wetting
for (k = 0; k < Nz; k++) {
for (j = 0; j < Ny; j++) {
for (i = 0; i < Nx; i++) {
n = k * Nx * Ny + j * Nx + i;
if (SDs(n) <= 0.0) {
// Solid phase
morph_n->id(i, j, k) = 1;
} else if (Phi(n) > 0.0) {
// non-wetting phase
morph_n->id(i, j, k) = 0;
} else {
// wetting phase
morph_n->id(i, j, k) = 1;
}
}
}
}
// measure the whole object
morph_n->MeasureObject(); //0.5/beta,Phi);
nd.V = morph_n->V();
nd.A = morph_n->A();
nd.H = morph_n->H();
nd.X = morph_n->X();
// measure only the connected part
nd.Nc = morph_n->MeasureConnectedPathway(); //0.5/beta,Phi);
nc.V = morph_n->V();
nc.A = morph_n->A();
nc.H = morph_n->H();
nc.X = morph_n->X();
// update disconnected part
nd.V -= nc.V;
nd.A -= nc.A;
nd.H -= nc.H;
nd.X -= nc.X;
// compute global entities
gnc.V = Dm->Comm.sumReduce(nc.V);
gnc.A = Dm->Comm.sumReduce(nc.A);
gnc.H = Dm->Comm.sumReduce(nc.H);
gnc.X = Dm->Comm.sumReduce(nc.X);
gnd.V = Dm->Comm.sumReduce(nd.V);
gnd.A = Dm->Comm.sumReduce(nd.A);
gnd.H = Dm->Comm.sumReduce(nd.H);
gnd.X = Dm->Comm.sumReduce(nd.X);
gnd.Nc = nd.Nc;
// wetting
for (k = 0; k < Nz; k++) {
for (j = 0; j < Ny; j++) {
for (i = 0; i < Nx; i++) {
n = k * Nx * Ny + j * Nx + i;
if (SDs(n) <= 0.0) {
// Solid phase
morph_w->id(i, j, k) = 1;
} else if (Phi(n) < 0.0) {
// wetting phase
morph_w->id(i, j, k) = 0;
} else {
// non-wetting phase
morph_w->id(i, j, k) = 1;
}
}
}
}
morph_w->MeasureObject(); //-0.5/beta,Phi);
wd.V = morph_w->V();
wd.A = morph_w->A();
wd.H = morph_w->H();
wd.X = morph_w->X();
// measure only the connected part
wd.Nc = morph_w->MeasureConnectedPathway(); //-0.5/beta,Phi);
wc.V = morph_w->V();
wc.A = morph_w->A();
wc.H = morph_w->H();
wc.X = morph_w->X();
// update disconnected part
wd.V -= wc.V;
wd.A -= wc.A;
wd.H -= wc.H;
wd.X -= wc.X;
// compute global entities
gwc.V = Dm->Comm.sumReduce(wc.V);
gwc.A = Dm->Comm.sumReduce(wc.A);
gwc.H = Dm->Comm.sumReduce(wc.H);
gwc.X = Dm->Comm.sumReduce(wc.X);
gwd.V = Dm->Comm.sumReduce(wd.V);
gwd.A = Dm->Comm.sumReduce(wd.A);
gwd.H = Dm->Comm.sumReduce(wd.H);
gwd.X = Dm->Comm.sumReduce(wd.X);
gwd.Nc = wd.Nc;
/* Set up geometric analysis of interface region */
for (k = 0; k < Nz; k++) {
for (j = 0; j < Ny; j++) {
for (i = 0; i < Nx; i++) {
n = k * Nx * Ny + j * Nx + i;
if (SDs(n) <= 0.0) {
// Solid phase
morph_i->id(i, j, k) = 1;
} else if (DelPhi(n) > 1e-4) {
// interface
morph_i->id(i, j, k) = 0;
} else {
// not interface
morph_i->id(i, j, k) = 1;
}
}
}
}
morph_i->MeasureObject();
iwn.V = morph_i->V();
iwn.A = morph_i->A();
iwn.H = morph_i->H();
iwn.X = morph_i->X();
giwn.V = Dm->Comm.sumReduce(iwn.V);
giwn.A = Dm->Comm.sumReduce(iwn.A);
giwn.H = Dm->Comm.sumReduce(iwn.H);
giwn.X = Dm->Comm.sumReduce(iwn.X);
// measure only the connected part
iwnc.Nc = morph_i->MeasureConnectedPathway();
iwnc.V = morph_i->V();
iwnc.A = morph_i->A();
iwnc.H = morph_i->H();
iwnc.X = morph_i->X();
giwnc.V = Dm->Comm.sumReduce(iwnc.V);
giwnc.A = Dm->Comm.sumReduce(iwnc.A);
giwnc.H = Dm->Comm.sumReduce(iwnc.H);
giwnc.X = Dm->Comm.sumReduce(iwnc.X);
giwnc.Nc = iwnc.Nc;
double vol_nc_bulk = 0.0;
double vol_wc_bulk = 0.0;
double vol_nd_bulk = 0.0;
double vol_wd_bulk = 0.0;
for (k = kmin; k < kmax; k++) {
for (j = jmin; j < Ny - 1; j++) {
for (i = imin; i < Nx - 1; i++) {
n = k * Nx * Ny + j * Nx + i;
// Compute volume averages
if (SDs(n) > 0.0) {
// compute density
double nA = Rho_n(n);
double nB = Rho_w(n);
double phi = (nA - nB) / (nA + nB);
double ux = Vel_x(n);
double uy = Vel_y(n);
double uz = Vel_z(n);
double visc = Dissipation(n);
if (DelPhi(n) > 1e-3) {
// get the normal vector
double nx = 0.5 * (Phi(i + 1, j, k) - Phi(i - 1, j, k));
double ny = 0.5 * (Phi(i, j + 1, k) - Phi(i, j - 1, k));
double nz = 0.5 * (Phi(i, j, k + 1) - Phi(i, j, k - 1));
if (SDs(n) > 2.5) {
// not a film region
InterfaceTransportMeasures(beta, rho_w, rho_n, nA,
nB, nx, ny, nz, ux, uy,
uz, iwn);
} else {
// films that are close to the wetting fluid
if (morph_w->distance(i, j, k) < 2.5 && phi > 0.0) {
ifs.Mw += rho_w;
ifs.Pwx += rho_w * ux;
ifs.Pwy += rho_w * uy;
ifs.Pwz += rho_w * uz;
}
// films that are close to the NWP
if (morph_n->distance(i, j, k) < 2.5 && phi < 0.0) {
ifs.Mn += rho_n;
ifs.Pnx += rho_n * ux;
ifs.Pny += rho_n * uy;
ifs.Pnz += rho_n * uz;
}
}
} else if (phi > 0.0) {
if (morph_n->label(i, j, k) > 0) {
vol_nd_bulk += 1.0;
nd.p += Pressure(n);
} else {
vol_nc_bulk += 1.0;
nc.p += Pressure(n);
}
} else {
// water region
if (morph_w->label(i, j, k) > 0) {
vol_wd_bulk += 1.0;
wd.p += Pressure(n);
} else {
vol_wc_bulk += 1.0;
wc.p += Pressure(n);
}
}
if (phi > 0.0) {
if (morph_n->label(i, j, k) > 0) {
nA = 1.0;
nd.M += nA * rho_n;
nd.Px += nA * rho_n * ux;
nd.Py += nA * rho_n * uy;
nd.Pz += nA * rho_n * uz;
nd.K += nA * rho_n * (ux * ux + uy * uy + uz * uz);
nd.visc += visc;
} else {
nA = 1.0;
nc.M += nA * rho_n;
nc.Px += nA * rho_n * ux;
nc.Py += nA * rho_n * uy;
nc.Pz += nA * rho_n * uz;
nc.K += nA * rho_n * (ux * ux + uy * uy + uz * uz);
nc.visc += visc;
}
} else {
// water region
if (morph_w->label(i, j, k) > 0) {
nB = 1.0;
wd.M += nB * rho_w;
wd.Px += nB * rho_w * ux;
wd.Py += nB * rho_w * uy;
wd.Pz += nB * rho_w * uz;
wd.K += nB * rho_w * (ux * ux + uy * uy + uz * uz);
wd.visc += visc;
} else {
nB = 1.0;
wc.M += nB * rho_w;
wc.Px += nB * rho_w * ux;
wc.Py += nB * rho_w * uy;
wc.Pz += nB * rho_w * uz;
wc.K += nB * rho_w * (ux * ux + uy * uy + uz * uz);
wc.visc += visc;
}
}
}
}
}
}
gnd.M = Dm->Comm.sumReduce(nd.M);
gnd.Px = Dm->Comm.sumReduce(nd.Px);
gnd.Py = Dm->Comm.sumReduce(nd.Py);
gnd.Pz = Dm->Comm.sumReduce(nd.Pz);
gnd.K = Dm->Comm.sumReduce(nd.K);
gnd.visc = Dm->Comm.sumReduce(nd.visc);
gwd.M = Dm->Comm.sumReduce(wd.M);
gwd.Px = Dm->Comm.sumReduce(wd.Px);
gwd.Py = Dm->Comm.sumReduce(wd.Py);
gwd.Pz = Dm->Comm.sumReduce(wd.Pz);
gwd.K = Dm->Comm.sumReduce(wd.K);
gwd.visc = Dm->Comm.sumReduce(wd.visc);
gnc.M = Dm->Comm.sumReduce(nc.M);
gnc.Px = Dm->Comm.sumReduce(nc.Px);
gnc.Py = Dm->Comm.sumReduce(nc.Py);
gnc.Pz = Dm->Comm.sumReduce(nc.Pz);
gnc.K = Dm->Comm.sumReduce(nc.K);
gnc.visc = Dm->Comm.sumReduce(nc.visc);
gwc.M = Dm->Comm.sumReduce(wc.M);
gwc.Px = Dm->Comm.sumReduce(wc.Px);
gwc.Py = Dm->Comm.sumReduce(wc.Py);
gwc.Pz = Dm->Comm.sumReduce(wc.Pz);
gwc.K = Dm->Comm.sumReduce(wc.K);
gwc.visc = Dm->Comm.sumReduce(wc.visc);
giwn.Mn = Dm->Comm.sumReduce(iwn.Mn);
giwn.Pnx = Dm->Comm.sumReduce(iwn.Pnx);
giwn.Pny = Dm->Comm.sumReduce(iwn.Pny);
giwn.Pnz = Dm->Comm.sumReduce(iwn.Pnz);
giwn.Kn = Dm->Comm.sumReduce(iwn.Kn);
giwn.Mw = Dm->Comm.sumReduce(iwn.Mw);
giwn.Pwx = Dm->Comm.sumReduce(iwn.Pwx);
giwn.Pwy = Dm->Comm.sumReduce(iwn.Pwy);
giwn.Pwz = Dm->Comm.sumReduce(iwn.Pwz);
giwn.Kw = Dm->Comm.sumReduce(iwn.Kw);
gifs.Mn = Dm->Comm.sumReduce(ifs.Mn);
gifs.Pnx = Dm->Comm.sumReduce(ifs.Pnx);
gifs.Pny = Dm->Comm.sumReduce(ifs.Pny);
gifs.Pnz = Dm->Comm.sumReduce(ifs.Pnz);
gifs.Mw = Dm->Comm.sumReduce(ifs.Mw);
gifs.Pwx = Dm->Comm.sumReduce(ifs.Pwx);
gifs.Pwy = Dm->Comm.sumReduce(ifs.Pwy);
gifs.Pwz = Dm->Comm.sumReduce(ifs.Pwz);
// pressure averaging
gnc.p = Dm->Comm.sumReduce(nc.p);
gnd.p = Dm->Comm.sumReduce(nd.p);
gwc.p = Dm->Comm.sumReduce(wc.p);
gwd.p = Dm->Comm.sumReduce(wd.p);
if (vol_wc_bulk > 0.0)
wc.p = wc.p / vol_wc_bulk;
if (vol_nc_bulk > 0.0)
nc.p = nc.p / vol_nc_bulk;
if (vol_wd_bulk > 0.0)
wd.p = wd.p / vol_wd_bulk;
if (vol_nd_bulk > 0.0)
nd.p = nd.p / vol_nd_bulk;
vol_wc_bulk = Dm->Comm.sumReduce(vol_wc_bulk);
vol_wd_bulk = Dm->Comm.sumReduce(vol_wd_bulk);
vol_nc_bulk = Dm->Comm.sumReduce(vol_nc_bulk);
vol_nd_bulk = Dm->Comm.sumReduce(vol_nd_bulk);
if (vol_wc_bulk > 0.0)
gwc.p = gwc.p / vol_wc_bulk;
if (vol_nc_bulk > 0.0)
gnc.p = gnc.p / vol_nc_bulk;
if (vol_wd_bulk > 0.0)
gwd.p = gwd.p / vol_wd_bulk;
if (vol_nd_bulk > 0.0)
gnd.p = gnd.p / vol_nd_bulk;
}
void SubPhase::AggregateLabels(const std::string &filename) {
int nx = Dm->Nx;
int ny = Dm->Ny;
int nz = Dm->Nz;
// assign the ID from the phase indicator field
for (int k = 0; k < nz; k++) {
for (int j = 0; j < ny; j++) {
for (int i = 0; i < nx; i++) {
int n = k * nx * ny + j * nx + i;
signed char local_id_val = Dm->id[n];
if (local_id_val > 0) {
double value = Phi(i, j, k);
if (value > 0.0)
local_id_val = 1;
else
local_id_val = 2;
}
Dm->id[n] = local_id_val;
}
}
}
Dm->Comm.barrier();
Dm->AggregateLabels(filename);
}