mirror of
https://github.com/OPM/opm-simulators.git
synced 2025-02-25 18:55:30 -06:00
Added s-c splitting solver for single cell problem.
This commit is contained in:
Xavier Raynaud
parent
6b60550f6e
commit
dd324478de
@ -91,10 +91,17 @@ public:
|
|||||||
double* kr,
|
double* kr,
|
||||||
double* dkrds) const
|
double* dkrds) const
|
||||||
{
|
{
|
||||||
ASSERT(dkrds == 0);
|
// ASSERT(dkrds == 0);
|
||||||
|
// We assume two phases flow
|
||||||
for (int i = 0; i < n; ++i) {
|
for (int i = 0; i < n; ++i) {
|
||||||
kr[2*i] = krw(s[2*i]);
|
kr[2*i] = krw(s[2*i]);
|
||||||
kr[2*i+1] = kro(s[2*i+1]);
|
kr[2*i+1] = kro(s[2*i+1]);
|
||||||
|
if (dkrds != 0) {
|
||||||
|
dkrds[2*i] = krw_dsw(s[2*i]);
|
||||||
|
dkrds[2*i+3] = kro_dso(s[2*i+1]);
|
||||||
|
dkrds[2*i+1] = -dkrds[2*i+3];
|
||||||
|
dkrds[2*i+2] = -dkrds[2*i];
|
||||||
|
}
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
@ -105,6 +112,16 @@ private:
|
|||||||
return Opm::linearInterpolation(sw_, krw_, s);
|
return Opm::linearInterpolation(sw_, krw_, s);
|
||||||
}
|
}
|
||||||
|
|
||||||
|
double krw_dsw(double s) const
|
||||||
|
{
|
||||||
|
return Opm::linearInterpolationDerivative(sw_, krw_, s);
|
||||||
|
}
|
||||||
|
|
||||||
|
double kro_dso(double s) const
|
||||||
|
{
|
||||||
|
return Opm::linearInterpolationDerivative(sw_, krw_, s);
|
||||||
|
}
|
||||||
|
|
||||||
double kro(double s) const
|
double kro(double s) const
|
||||||
{
|
{
|
||||||
return Opm::linearInterpolation(so_, kro_, s);
|
return Opm::linearInterpolation(so_, kro_, s);
|
||||||
@ -281,6 +298,7 @@ main(int argc, char** argv)
|
|||||||
polydata.ads_vals[2] = 0.0025;
|
polydata.ads_vals[2] = 0.0025;
|
||||||
}
|
}
|
||||||
bool new_code = param.getDefault("new_code", false);
|
bool new_code = param.getDefault("new_code", false);
|
||||||
|
int method = param.getDefault("method", 1);
|
||||||
|
|
||||||
// Extra rock init.
|
// Extra rock init.
|
||||||
std::vector<double> porevol;
|
std::vector<double> porevol;
|
||||||
@ -289,7 +307,8 @@ main(int argc, char** argv)
|
|||||||
|
|
||||||
// Solvers init.
|
// Solvers init.
|
||||||
Opm::PressureSolver psolver(grid->c_grid(), *props);
|
Opm::PressureSolver psolver(grid->c_grid(), *props);
|
||||||
Opm::TransportModelPolymer tmodel(*grid->c_grid(), props->porosity(), &porevol[0], *props, polydata);
|
|
||||||
|
Opm::TransportModelPolymer tmodel(*grid->c_grid(), props->porosity(), &porevol[0], *props, polydata, method);
|
||||||
|
|
||||||
// State-related and source-related variables init.
|
// State-related and source-related variables init.
|
||||||
std::vector<double> totmob;
|
std::vector<double> totmob;
|
||||||
|
|||||||
@ -22,6 +22,11 @@
|
|||||||
#include <opm/core/fluid/IncompPropertiesInterface.hpp>
|
#include <opm/core/fluid/IncompPropertiesInterface.hpp>
|
||||||
#include <opm/core/grid.h>
|
#include <opm/core/grid.h>
|
||||||
#include <opm/core/utility/RootFinders.hpp>
|
#include <opm/core/utility/RootFinders.hpp>
|
||||||
|
#include <cmath>
|
||||||
|
|
||||||
|
#define DEBUG
|
||||||
|
|
||||||
|
static double norm(double* res);
|
||||||
|
|
||||||
namespace Opm
|
namespace Opm
|
||||||
{
|
{
|
||||||
@ -31,7 +36,8 @@ namespace Opm
|
|||||||
const double* porosity,
|
const double* porosity,
|
||||||
const double* porevolume,
|
const double* porevolume,
|
||||||
const IncompPropertiesInterface& props,
|
const IncompPropertiesInterface& props,
|
||||||
const PolymerData& polyprops)
|
const PolymerData& polyprops,
|
||||||
|
int method)
|
||||||
: grid_(grid),
|
: grid_(grid),
|
||||||
porosity_(porosity),
|
porosity_(porosity),
|
||||||
porevolume_(porevolume),
|
porevolume_(porevolume),
|
||||||
@ -45,7 +51,8 @@ namespace Opm
|
|||||||
concentration_(0),
|
concentration_(0),
|
||||||
cmax_(0),
|
cmax_(0),
|
||||||
fractionalflow_(grid.number_of_cells, -1.0),
|
fractionalflow_(grid.number_of_cells, -1.0),
|
||||||
mc_(grid.number_of_cells, -1.0)
|
mc_(grid.number_of_cells, -1.0),
|
||||||
|
method_(method)
|
||||||
{
|
{
|
||||||
if (props.numPhases() != 2) {
|
if (props.numPhases() != 2) {
|
||||||
THROW("Property object must have 2 phases");
|
THROW("Property object must have 2 phases");
|
||||||
@ -75,6 +82,7 @@ namespace Opm
|
|||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
// Residual for saturation equation, single-cell implicit Euler transport
|
// Residual for saturation equation, single-cell implicit Euler transport
|
||||||
//
|
//
|
||||||
// r(s) = s - s0 + dt/pv*( influx + outflux*f(s) )
|
// r(s) = s - s0 + dt/pv*( influx + outflux*f(s) )
|
||||||
@ -203,8 +211,270 @@ namespace Opm
|
|||||||
};
|
};
|
||||||
|
|
||||||
|
|
||||||
|
struct TransportModelPolymer::Residual
|
||||||
|
{
|
||||||
|
int cell;
|
||||||
|
double s0;
|
||||||
|
double c0;
|
||||||
|
double cmax0;
|
||||||
|
double influx; // sum_j min(v_ij, 0)*f(s_j)
|
||||||
|
double influx_polymer; // sum_j min(v_ij, 0)*f(s_j)*mc(c_j)
|
||||||
|
double outflux; // sum_j max(v_ij, 0)
|
||||||
|
double porosity;
|
||||||
|
double dtpv; // dt/pv(i)
|
||||||
|
const TransportModelPolymer& tm;
|
||||||
|
|
||||||
void TransportModelPolymer::solveSingleCell(int cell)
|
Residual(const TransportModelPolymer& tmodel, int cell_index)
|
||||||
|
: tm(tmodel)
|
||||||
|
{
|
||||||
|
cell = cell_index;
|
||||||
|
s0 = tm.saturation_[cell];
|
||||||
|
c0 = tm.concentration_[cell];
|
||||||
|
cmax0 = tm.cmax_[cell];
|
||||||
|
double dflux = -tm.source_[cell];
|
||||||
|
bool src_is_inflow = dflux < 0.0;
|
||||||
|
influx = src_is_inflow ? dflux : 0.0;
|
||||||
|
influx_polymer = src_is_inflow ? dflux*tm.computeMc(tm.inflow_c_) : 0.0;
|
||||||
|
outflux = !src_is_inflow ? dflux : 0.0;
|
||||||
|
dtpv = tm.dt_/tm.porevolume_[cell];
|
||||||
|
porosity = tm.porosity_[cell];
|
||||||
|
|
||||||
|
for (int i = tm.grid_.cell_facepos[cell]; i < tm.grid_.cell_facepos[cell+1]; ++i) {
|
||||||
|
int f = tm.grid_.cell_faces[i];
|
||||||
|
double flux;
|
||||||
|
int other;
|
||||||
|
// Compute cell flux
|
||||||
|
if (cell == tm.grid_.face_cells[2*f]) {
|
||||||
|
flux = tm.darcyflux_[f];
|
||||||
|
other = tm.grid_.face_cells[2*f+1];
|
||||||
|
} else {
|
||||||
|
flux =-tm.darcyflux_[f];
|
||||||
|
other = tm.grid_.face_cells[2*f];
|
||||||
|
}
|
||||||
|
// Add flux to influx or outflux, if interior.
|
||||||
|
if (other != -1) {
|
||||||
|
if (flux < 0.0) {
|
||||||
|
influx += flux*tm.fractionalflow_[other];
|
||||||
|
influx_polymer += flux*tm.fractionalflow_[other]*tm.mc_[other];
|
||||||
|
} else {
|
||||||
|
outflux += flux;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
void computeResidual(const double* x, double* res) const
|
||||||
|
{
|
||||||
|
double s = x[0];
|
||||||
|
double c = x[1];
|
||||||
|
double ff = tm.fracFlow(s, c, cell);
|
||||||
|
double mc = tm.computeMc(c);
|
||||||
|
double dps = tm.polyprops_.dps;
|
||||||
|
double rhor = tm.polyprops_.rhor;
|
||||||
|
double ads0 = tm.polyprops_.adsorbtion(std::max(c0, cmax0));
|
||||||
|
double ads = tm.polyprops_.adsorbtion(std::max(c, cmax0));
|
||||||
|
res[0] = s - s0 + dtpv*(outflux*tm.fracFlow(s, c, cell) + influx);
|
||||||
|
res[1] = (s - dps)*c - (s0 - dps)*c0
|
||||||
|
+ rhor*((1.0 - porosity)/porosity)*(ads - ads0)
|
||||||
|
+ dtpv*(outflux*ff*mc + influx_polymer);
|
||||||
|
}
|
||||||
|
|
||||||
|
void computeGradient(const double* x, double* res, double* gradient, bool s_or_c) const
|
||||||
|
// If s_or_c == true, compute the gradient of s-residual, if s_or_c == false, compute gradient of c-residual
|
||||||
|
{
|
||||||
|
double s = x[0];
|
||||||
|
double c = x[1];
|
||||||
|
double ff_ds_dc[2];
|
||||||
|
double ff = tm.fracFlowWithDer(s, c, cell, ff_ds_dc);
|
||||||
|
double mc_dc;
|
||||||
|
double mc = tm.computeMcWithDer(c, &mc_dc);
|
||||||
|
double dps = tm.polyprops_.dps;
|
||||||
|
double rhor = tm.polyprops_.rhor;
|
||||||
|
double ads0 = tm.polyprops_.adsorbtion(std::max(c0, cmax0));
|
||||||
|
double ads;
|
||||||
|
double ads_dc;
|
||||||
|
if (c < cmax0) {
|
||||||
|
ads = tm.polyprops_.adsorbtion(cmax0);
|
||||||
|
ads_dc = 0;
|
||||||
|
} else {
|
||||||
|
ads = tm.polyprops_.adsorbtionWithDer(c, &ads_dc);
|
||||||
|
}
|
||||||
|
res[0] = s - s0 + dtpv*(outflux*tm.fracFlow(s, c, cell) + influx);
|
||||||
|
res[1] = (s - dps)*c - (s0 - dps)*c0
|
||||||
|
+ rhor*((1.0 - porosity)/porosity)*(ads - ads0)
|
||||||
|
+ dtpv*(outflux*ff*mc + influx_polymer);
|
||||||
|
if (s_or_c == true) {
|
||||||
|
gradient[0] = 1 + dtpv*outflux*ff_ds_dc[0];
|
||||||
|
gradient[1] = dtpv*outflux*ff_ds_dc[1];
|
||||||
|
} else if (s_or_c == false) {
|
||||||
|
gradient[0] = c + dtpv*outflux*(ff_ds_dc[0])*mc;
|
||||||
|
gradient[1] = s - dps + rhor*((1.0 - porosity)/porosity)*(ads_dc - ads0)
|
||||||
|
+ dtpv*outflux*(ff_ds_dc[1]*mc + ff*mc_dc);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
};
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
struct TransportModelPolymer::ResidualSDir
|
||||||
|
{
|
||||||
|
int cell;
|
||||||
|
double s0;
|
||||||
|
double c0;
|
||||||
|
double cmax0;
|
||||||
|
double influx; // sum_j min(v_ij, 0)*f(s_j)
|
||||||
|
double influx_polymer; // sum_j min(v_ij, 0)*f(s_j)*mc(c_j)
|
||||||
|
double outflux; // sum_j max(v_ij, 0)
|
||||||
|
double porosity;
|
||||||
|
double dtpv; // dt/pv(i)
|
||||||
|
double direction[2];
|
||||||
|
double x[2];
|
||||||
|
const TransportModelPolymer& tm;
|
||||||
|
|
||||||
|
ResidualSDir(const TransportModelPolymer& tmodel, int cell_index)
|
||||||
|
: tm(tmodel)
|
||||||
|
{
|
||||||
|
cell = cell_index;
|
||||||
|
s0 = tm.saturation_[cell];
|
||||||
|
c0 = tm.concentration_[cell];
|
||||||
|
cmax0 = tm.cmax_[cell];
|
||||||
|
double dflux = -tm.source_[cell];
|
||||||
|
bool src_is_inflow = dflux < 0.0;
|
||||||
|
influx = src_is_inflow ? dflux : 0.0;
|
||||||
|
influx_polymer = src_is_inflow ? dflux*tm.computeMc(tm.inflow_c_) : 0.0;
|
||||||
|
outflux = !src_is_inflow ? dflux : 0.0;
|
||||||
|
dtpv = tm.dt_/tm.porevolume_[cell];
|
||||||
|
porosity = tm.porosity_[cell];
|
||||||
|
|
||||||
|
for (int i = tm.grid_.cell_facepos[cell]; i < tm.grid_.cell_facepos[cell+1]; ++i) {
|
||||||
|
int f = tm.grid_.cell_faces[i];
|
||||||
|
double flux;
|
||||||
|
int other;
|
||||||
|
// Compute cell flux
|
||||||
|
if (cell == tm.grid_.face_cells[2*f]) {
|
||||||
|
flux = tm.darcyflux_[f];
|
||||||
|
other = tm.grid_.face_cells[2*f+1];
|
||||||
|
} else {
|
||||||
|
flux =-tm.darcyflux_[f];
|
||||||
|
other = tm.grid_.face_cells[2*f];
|
||||||
|
}
|
||||||
|
// Add flux to influx or outflux, if interior.
|
||||||
|
if (other != -1) {
|
||||||
|
if (flux < 0.0) {
|
||||||
|
influx += flux*tm.fractionalflow_[other];
|
||||||
|
influx_polymer += flux*tm.fractionalflow_[other]*tm.mc_[other];
|
||||||
|
} else {
|
||||||
|
outflux += flux;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
void setup(const double* x_arg, const double* direction_arg) {
|
||||||
|
x[0] = x_arg[0];
|
||||||
|
x[1] = x_arg[1];
|
||||||
|
direction[0] = direction_arg[0];
|
||||||
|
direction[1] = direction_arg[1];
|
||||||
|
}
|
||||||
|
|
||||||
|
double operator()(double t) const
|
||||||
|
{
|
||||||
|
double s = x[0] + t*direction[0];
|
||||||
|
double c = x[1] + t*direction[1];
|
||||||
|
return s - s0 + dtpv*(outflux*tm.fracFlow(s, c, cell) + influx);
|
||||||
|
}
|
||||||
|
};
|
||||||
|
|
||||||
|
struct TransportModelPolymer::ResidualCDir
|
||||||
|
{
|
||||||
|
int cell;
|
||||||
|
double s0;
|
||||||
|
double c0;
|
||||||
|
double cmax0;
|
||||||
|
double influx; // sum_j min(v_ij, 0)*f(s_j)
|
||||||
|
double influx_polymer; // sum_j min(v_ij, 0)*f(s_j)*mc(c_j)
|
||||||
|
double outflux; // sum_j max(v_ij, 0)
|
||||||
|
double porosity;
|
||||||
|
double dtpv; // dt/pv(i)
|
||||||
|
double direction[2];
|
||||||
|
double x[2];
|
||||||
|
const TransportModelPolymer& tm;
|
||||||
|
|
||||||
|
ResidualCDir(const TransportModelPolymer& tmodel, int cell_index)
|
||||||
|
: tm(tmodel)
|
||||||
|
{
|
||||||
|
cell = cell_index;
|
||||||
|
s0 = tm.saturation_[cell];
|
||||||
|
c0 = tm.concentration_[cell];
|
||||||
|
cmax0 = tm.cmax_[cell];
|
||||||
|
double dflux = -tm.source_[cell];
|
||||||
|
bool src_is_inflow = dflux < 0.0;
|
||||||
|
influx = src_is_inflow ? dflux : 0.0;
|
||||||
|
influx_polymer = src_is_inflow ? dflux*tm.computeMc(tm.inflow_c_) : 0.0;
|
||||||
|
outflux = !src_is_inflow ? dflux : 0.0;
|
||||||
|
dtpv = tm.dt_/tm.porevolume_[cell];
|
||||||
|
porosity = tm.porosity_[cell];
|
||||||
|
|
||||||
|
for (int i = tm.grid_.cell_facepos[cell]; i < tm.grid_.cell_facepos[cell+1]; ++i) {
|
||||||
|
int f = tm.grid_.cell_faces[i];
|
||||||
|
double flux;
|
||||||
|
int other;
|
||||||
|
// Compute cell flux
|
||||||
|
if (cell == tm.grid_.face_cells[2*f]) {
|
||||||
|
flux = tm.darcyflux_[f];
|
||||||
|
other = tm.grid_.face_cells[2*f+1];
|
||||||
|
} else {
|
||||||
|
flux =-tm.darcyflux_[f];
|
||||||
|
other = tm.grid_.face_cells[2*f];
|
||||||
|
}
|
||||||
|
// Add flux to influx or outflux, if interior.
|
||||||
|
if (other != -1) {
|
||||||
|
if (flux < 0.0) {
|
||||||
|
influx += flux*tm.fractionalflow_[other];
|
||||||
|
influx_polymer += flux*tm.fractionalflow_[other]*tm.mc_[other];
|
||||||
|
} else {
|
||||||
|
outflux += flux;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
void setup(const double* x_arg, const double* direction_arg) {
|
||||||
|
x[0] = x_arg[0];
|
||||||
|
x[1] = x_arg[1];
|
||||||
|
direction[0] = direction_arg[0];
|
||||||
|
direction[1] = direction_arg[1];
|
||||||
|
}
|
||||||
|
|
||||||
|
double operator()(double t) const
|
||||||
|
{
|
||||||
|
double s = x[0] + t*direction[0];
|
||||||
|
double c = x[1] + t*direction[1];
|
||||||
|
double ff = tm.fracFlow(s, c, cell);
|
||||||
|
double mc = tm.computeMc(c);
|
||||||
|
double dps = tm.polyprops_.dps;
|
||||||
|
double rhor = tm.polyprops_.rhor;
|
||||||
|
double ads0 = tm.polyprops_.adsorbtion(std::max(c0, cmax0));
|
||||||
|
double ads = tm.polyprops_.adsorbtion(std::max(c, cmax0));
|
||||||
|
return (s - dps)*c - (s0 - dps)*c0
|
||||||
|
+ rhor*((1.0 - porosity)/porosity)*(ads - ads0)
|
||||||
|
+ dtpv*(outflux*ff*mc + influx_polymer);
|
||||||
|
}
|
||||||
|
};
|
||||||
|
|
||||||
|
|
||||||
|
void TransportModelPolymer::solveSingleCell(const int cell)
|
||||||
|
{
|
||||||
|
if (method_ == 1) {
|
||||||
|
solveSingleCellBracketing(cell);
|
||||||
|
} else if (method_ == 2) {
|
||||||
|
solveSingleCellSplitting(cell);
|
||||||
|
} else {
|
||||||
|
THROW("Method is " << method_ << "");
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
void TransportModelPolymer::solveSingleCellBracketing(int cell)
|
||||||
{
|
{
|
||||||
ResidualC res(*this, cell);
|
ResidualC res(*this, cell);
|
||||||
const double a = 0.0;
|
const double a = 0.0;
|
||||||
@ -219,6 +489,211 @@ namespace Opm
|
|||||||
mc_[cell] = computeMc(concentration_[cell]);
|
mc_[cell] = computeMc(concentration_[cell]);
|
||||||
}
|
}
|
||||||
|
|
||||||
|
void TransportModelPolymer::solveSingleCellSplitting(int cell)
|
||||||
|
{
|
||||||
|
const int max_iters_falsi = 20;
|
||||||
|
const double tol = 1e-9;
|
||||||
|
int iters_used_falsi = 0;
|
||||||
|
const int max_iters_split = 20;
|
||||||
|
int iters_used_split = 0;
|
||||||
|
|
||||||
|
Residual residual(*this, cell);
|
||||||
|
ResidualSDir residual_s_dir(*this, cell);
|
||||||
|
ResidualCDir residual_c_dir(*this, cell);
|
||||||
|
double x[2] = {saturation_[cell], concentration_[cell]};
|
||||||
|
double res[2];
|
||||||
|
residual.computeResidual(x, res);
|
||||||
|
|
||||||
|
if (norm(res) < tol) {
|
||||||
|
return;
|
||||||
|
#ifdef DEBUG
|
||||||
|
std::cout << "short escape" << std::endl;
|
||||||
|
#endif
|
||||||
|
}
|
||||||
|
|
||||||
|
bool use_zero_search = true;
|
||||||
|
bool res_s_done;
|
||||||
|
double x_min[2] = {0.0, 0.0};
|
||||||
|
double x_max[2] = {1.0, polyprops_.c_max_limit};
|
||||||
|
double t_min;
|
||||||
|
double t_max;
|
||||||
|
double t;
|
||||||
|
double res_s_t_min;
|
||||||
|
double res_s_t_max;
|
||||||
|
double res_c_t_min;
|
||||||
|
double res_c_t_max;
|
||||||
|
double direction[2];
|
||||||
|
double gradient[2];
|
||||||
|
|
||||||
|
#ifdef DEBUG
|
||||||
|
std::cout << "Initial step" << std::endl;
|
||||||
|
#endif
|
||||||
|
|
||||||
|
if (std::abs(res[0]) < std::abs(res[1])) {
|
||||||
|
// solve for s-residual in a 45 degree diagonal direction (down right)
|
||||||
|
direction[0] = 1;
|
||||||
|
direction[1] = -1;
|
||||||
|
residual_s_dir.setup(x, direction);
|
||||||
|
if (res[0] < 0) {
|
||||||
|
t_min = 0.;
|
||||||
|
res_s_t_min = res[0];
|
||||||
|
t_max = std::min((x_max[0]-x[0])/direction[0], (x_min[1]-x[1])/direction[1]);
|
||||||
|
res_s_t_max = residual_s_dir(t_max);
|
||||||
|
if (res_s_t_max*res_s_t_min >= 0) {
|
||||||
|
use_zero_search = false;
|
||||||
|
t = t_max;
|
||||||
|
}
|
||||||
|
} else {
|
||||||
|
t_max = 0.;
|
||||||
|
res_s_t_max = res[0];
|
||||||
|
t_min = -std::min((x[0]-x_min[0])/direction[0], (x[1]-x_max[1])/direction[1]);
|
||||||
|
res_s_t_min = residual_s_dir(t_min);
|
||||||
|
if (res_s_t_max*res_s_t_min >= 0) {
|
||||||
|
use_zero_search = false;
|
||||||
|
t = t_min;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
if (use_zero_search) {
|
||||||
|
t = modifiedRegulaFalsi(residual_s_dir, t_min, t_max, max_iters_falsi, tol, iters_used_falsi);
|
||||||
|
}
|
||||||
|
x[0] += t*direction[0];
|
||||||
|
x[1] += t*direction[1];
|
||||||
|
res_s_done = true;
|
||||||
|
residual.computeGradient(x, res, gradient, true);
|
||||||
|
} else {
|
||||||
|
// solve for c-residual in 45 degree diagonal direction (up-right)
|
||||||
|
direction[0] = 1.;
|
||||||
|
direction[1] = 1.;
|
||||||
|
residual_c_dir.setup(x, direction);
|
||||||
|
if (res[1] < 0) {
|
||||||
|
t_min = 0.;
|
||||||
|
res_c_t_min = res[1];
|
||||||
|
t_max = std::min((x_max[0]-x[0])/direction[0], (x_max[1]-x[1])/direction[1]);
|
||||||
|
res_c_t_max = residual_c_dir(t_max);
|
||||||
|
if (res_c_t_max*res_c_t_min >= 0) {
|
||||||
|
use_zero_search = false;
|
||||||
|
t = t_max;
|
||||||
|
}
|
||||||
|
} else {
|
||||||
|
t_max = 0;
|
||||||
|
res_c_t_max = res[1];
|
||||||
|
t_min = -std::min((x[0]-x_min[0])/direction[0], (x[1]-x_min[1])/direction[1]);
|
||||||
|
res_c_t_min = residual_c_dir(t_min);
|
||||||
|
if (res_c_t_max*res_c_t_min >= 0) {
|
||||||
|
use_zero_search = false;
|
||||||
|
t = t_min;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
if (use_zero_search) {
|
||||||
|
t = modifiedRegulaFalsi(residual_c_dir, t_min, t_max, max_iters_falsi, tol, iters_used_falsi);
|
||||||
|
}
|
||||||
|
x[0] += t*direction[0];
|
||||||
|
x[1] += t*direction[1];
|
||||||
|
res_s_done = false;
|
||||||
|
residual.computeGradient(x, res, gradient, false);
|
||||||
|
}
|
||||||
|
|
||||||
|
#ifdef DEBUG
|
||||||
|
std::cout << "s: " << x[0] << std::endl;
|
||||||
|
std::cout << "c: " << x[1] << std::endl;
|
||||||
|
std::cout << "res[0]: " << res[0] << std::endl;
|
||||||
|
std::cout << "res[1]: " << res[1] << std::endl;
|
||||||
|
std::cout << "res_s_done" << res_s_done << std::endl;
|
||||||
|
std::cout << "gradient[0]: " << gradient[0] << std::endl;
|
||||||
|
std::cout << "gradient[1]: " << gradient[1] << std::endl;
|
||||||
|
#endif
|
||||||
|
|
||||||
|
|
||||||
|
while ((norm(res) > tol) && (iters_used_split < max_iters_split)) {
|
||||||
|
use_zero_search = true;
|
||||||
|
if (res_s_done) { // solve for c-residual
|
||||||
|
direction[0] = -gradient[1];
|
||||||
|
direction[1] = gradient[0];
|
||||||
|
residual_c_dir.setup(x, direction);
|
||||||
|
if (res[1] < 0) {
|
||||||
|
t_min = 0.;
|
||||||
|
res_c_t_min = res[1];
|
||||||
|
t_max = std::min((x_max[0]-x[0])/direction[0], (x_max[1]-x[1])/direction[1]);
|
||||||
|
residual_c_dir(t_max);
|
||||||
|
if (res_c_t_max*res_c_t_min >= 0) {
|
||||||
|
use_zero_search = false;
|
||||||
|
t = t_max;
|
||||||
|
}
|
||||||
|
} else {
|
||||||
|
t_max = 0;
|
||||||
|
res_c_t_max = res[1];
|
||||||
|
t_min = -std::min((x[0]-x_min[0])/direction[0], (x[1]-x_min[1])/direction[1]);
|
||||||
|
res_c_t_min = residual_c_dir(t_min);
|
||||||
|
if (res_c_t_max*res_c_t_min >= 0) {
|
||||||
|
use_zero_search = false;
|
||||||
|
t = t_min;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
if (use_zero_search) {
|
||||||
|
t = modifiedRegulaFalsi(residual_c_dir, t_min, t_max, max_iters_falsi, tol, iters_used_falsi);
|
||||||
|
}
|
||||||
|
x[0] += t*direction[0];
|
||||||
|
x[1] += t*direction[1];
|
||||||
|
res_s_done = false;
|
||||||
|
residual.computeGradient(x, res, gradient, false);
|
||||||
|
} else { // solve for s residual
|
||||||
|
use_zero_search = true;
|
||||||
|
direction[0] = gradient[1];
|
||||||
|
direction[1] = -gradient[0];
|
||||||
|
residual_s_dir.setup(x, direction);
|
||||||
|
if (res[0] < 0) {
|
||||||
|
t_min = 0.;
|
||||||
|
res_s_t_min = res[0];
|
||||||
|
t_max = std::min((x_max[0]-x[0])/direction[0], (x_min[1]-x[1])/direction[1]);
|
||||||
|
res_s_t_max = residual_s_dir(t_max);
|
||||||
|
if (res_s_t_max*res_s_t_min >= 0) {
|
||||||
|
use_zero_search = false;
|
||||||
|
t = t_max;
|
||||||
|
}
|
||||||
|
} else {
|
||||||
|
t_max = 0.;
|
||||||
|
res_s_t_max = res[0];
|
||||||
|
t_min = -std::min((x[0]-x_min[0])/direction[0], (x[1]-x_max[1])/direction[1]);
|
||||||
|
res_s_t_min = residual_s_dir(t_min);
|
||||||
|
if (res_s_t_max*res_s_t_min >= 0) {
|
||||||
|
use_zero_search = false;
|
||||||
|
t = t_min;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
if (use_zero_search) {
|
||||||
|
t = modifiedRegulaFalsi(residual_s_dir, t_min, t_max, max_iters_falsi, tol, iters_used_falsi);
|
||||||
|
}
|
||||||
|
x[0] += t*direction[0];
|
||||||
|
x[1] += t*direction[1];
|
||||||
|
res_s_done = true;
|
||||||
|
residual.computeGradient(x, res, gradient, true);
|
||||||
|
}
|
||||||
|
#ifdef DEBUG
|
||||||
|
std::cout << "s: " << x[0] << std::endl;
|
||||||
|
std::cout << "c: " << x[1] << std::endl;
|
||||||
|
std::cout << "res[0]: " << res[0] << std::endl;
|
||||||
|
std::cout << "res[1]: " << res[1] << std::endl;
|
||||||
|
std::cout << "res_s_done" << res_s_done << std::endl;
|
||||||
|
std::cout << "gradient[0]: " << gradient[0] << std::endl;
|
||||||
|
std::cout << "gradient[1]: " << gradient[1] << std::endl;
|
||||||
|
#endif
|
||||||
|
|
||||||
|
iters_used_split += 1;
|
||||||
|
}
|
||||||
|
|
||||||
|
if ((iters_used_split >= max_iters_split) && (norm(res) >= tol)) {
|
||||||
|
solveSingleCellBracketing(cell);
|
||||||
|
std::cout << "splitting did not work" << std::endl;
|
||||||
|
} else {
|
||||||
|
concentration_[cell] = x[1];
|
||||||
|
cmax_[cell] = std::max(cmax_[cell], concentration_[cell]);
|
||||||
|
saturation_[cell] = x[0];
|
||||||
|
fractionalflow_[cell] = fracFlow(saturation_[cell], concentration_[cell], cell);
|
||||||
|
mc_[cell] = computeMc(concentration_[cell]);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
double TransportModelPolymer::fracFlow(double s, double c, int cell) const
|
double TransportModelPolymer::fracFlow(double s, double c, int cell) const
|
||||||
@ -242,6 +717,47 @@ namespace Opm
|
|||||||
return mob[0]/(mob[0] + mob[1]);
|
return mob[0]/(mob[0] + mob[1]);
|
||||||
}
|
}
|
||||||
|
|
||||||
|
double TransportModelPolymer::fracFlowWithDer(double s, double c, int cell, double* der) const
|
||||||
|
{
|
||||||
|
// We should check the dimension of der
|
||||||
|
double c_max_limit = polyprops_.c_max_limit;
|
||||||
|
double cbar = c/c_max_limit;
|
||||||
|
double mu_w = visc_[0];
|
||||||
|
double mu_m_dc; // derivative of mu_m with respect to c
|
||||||
|
double mu_m = polyprops_.viscMultWithDer(c, &mu_m_dc)*mu_w;
|
||||||
|
mu_m_dc *= mu_w;
|
||||||
|
double mu_p = polyprops_.viscMult(polyprops_.c_max_limit)*mu_w;
|
||||||
|
double omega = polyprops_.omega;
|
||||||
|
double mu_m_omega = std::pow(mu_m, omega);
|
||||||
|
double mu_m_omega_minus1 = std::pow(mu_m, omega - 1.0);
|
||||||
|
double mu_w_omega = std::pow(mu_w, 1.0 - omega);
|
||||||
|
double mu_w_e = mu_m_omega*mu_w_omega;
|
||||||
|
double mu_w_e_dc = omega*mu_m_dc*mu_m_omega_minus1*mu_w_omega;
|
||||||
|
double mu_p_omega = std::pow(mu_p, 1.0 - omega);
|
||||||
|
double mu_p_eff = mu_m_omega*mu_p_omega;
|
||||||
|
double mu_p_eff_dc = omega*mu_m_dc*mu_m_omega_minus1*mu_p_omega;
|
||||||
|
double mu_w_eff = 1./((1 - cbar)/mu_w_e + cbar/mu_p_eff);
|
||||||
|
double inv_mu_w_eff_dc = -mu_w_e_dc/(mu_w_e*mu_w_e)*(1. - cbar) - mu_p_eff_dc/(mu_p_eff*mu_p_eff)*cbar + (1./mu_p_eff - 1./mu_w_e);
|
||||||
|
double mu_w_eff_dc = -mu_w_eff*mu_w_eff*inv_mu_w_eff_dc;
|
||||||
|
double visc_eff[2] = { mu_w_eff, visc_[1] };
|
||||||
|
double sat[2] = { s, 1.0 - s };
|
||||||
|
double mob[2];
|
||||||
|
double mob_ds[2];
|
||||||
|
double mob_dc[2];
|
||||||
|
double perm[2];
|
||||||
|
double perm_ds[4];
|
||||||
|
props_.relperm(1, sat, &cell, perm, perm_ds);
|
||||||
|
mob[0] = perm[0]/visc_eff[0];
|
||||||
|
mob[1] = perm[1]/visc_eff[1];
|
||||||
|
mob_ds[0] = perm_ds[0]/mu_w_eff;
|
||||||
|
mob_ds[1] = perm_ds[1]/mu_w_eff;
|
||||||
|
mob_dc[0] = - perm[0]*mu_w_eff_dc/(mu_w_eff*mu_w_eff);
|
||||||
|
mob_dc[1] = - perm[1]*mu_p_eff_dc/(mu_p_eff*mu_p_eff);
|
||||||
|
der[0] = (mob_ds[0]*mob[1] - mob_ds[1]*mob[0])/((mob[0] + mob[1])*(mob[0] + mob[1]));
|
||||||
|
der[1] = (mob_dc[0]*mob[1] - mob_dc[1]*mob[0])/((mob[0] + mob[1])*(mob[0] + mob[1]));
|
||||||
|
return mob[0]/(mob[0] + mob[1]);
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
double TransportModelPolymer::computeMc(double c) const
|
double TransportModelPolymer::computeMc(double c) const
|
||||||
{
|
{
|
||||||
@ -258,12 +774,44 @@ namespace Opm
|
|||||||
return c/(inv_mu_w_eff*mu_p_eff);
|
return c/(inv_mu_w_eff*mu_p_eff);
|
||||||
}
|
}
|
||||||
|
|
||||||
|
double TransportModelPolymer::computeMcWithDer(double c, double* der) const
|
||||||
|
{
|
||||||
|
double c_max_limit = polyprops_.c_max_limit;
|
||||||
|
double cbar = c/c_max_limit;
|
||||||
|
double mu_w = visc_[0];
|
||||||
|
double mu_m_dc; // derivative of mu_m with respect to c
|
||||||
|
double mu_m = polyprops_.viscMultWithDer(c, &mu_m_dc)*mu_w;
|
||||||
|
mu_m_dc *= mu_w;
|
||||||
|
double mu_p = polyprops_.viscMult(polyprops_.c_max_limit)*mu_w;
|
||||||
|
double omega = polyprops_.omega;
|
||||||
|
double mu_m_omega = std::pow(mu_m, omega);
|
||||||
|
double mu_m_omega_minus1 = std::pow(mu_m, omega-1);
|
||||||
|
double mu_w_omega = std::pow(mu_w, 1.0 - omega);
|
||||||
|
double mu_w_e = mu_m_omega*mu_w_omega;
|
||||||
|
double mu_w_e_dc = omega*mu_m_dc*mu_m_omega_minus1*mu_w_omega;
|
||||||
|
double mu_p_omega = std::pow(mu_p, 1.0 - omega);
|
||||||
|
double mu_p_eff = mu_m_omega*mu_p_omega;
|
||||||
|
double mu_p_eff_dc = omega*mu_m_dc*mu_m_omega_minus1*mu_p_omega;
|
||||||
|
double mu_w_eff = 1./((1 - cbar)/mu_w_e + cbar/mu_p_eff);
|
||||||
|
double inv_mu_w_eff_dc = -mu_w_e_dc/(mu_w_e*mu_w_e)*(1. - cbar) - mu_p_eff_dc/(mu_p_eff*mu_p_eff)*cbar + (1./mu_p_eff - 1./mu_w_e);
|
||||||
|
double mu_w_eff_dc = -mu_w_eff*mu_w_eff*inv_mu_w_eff_dc;
|
||||||
|
*der = mu_w_eff/mu_p_eff + c*mu_w_eff_dc/mu_p_eff - c*mu_p_eff_dc*mu_w_eff/(mu_p_eff*mu_p_eff);
|
||||||
|
return c*mu_w_eff/mu_p_eff;
|
||||||
|
}
|
||||||
|
|
||||||
} // namespace Opm
|
} // namespace Opm
|
||||||
|
|
||||||
|
|
||||||
|
static double norm(double* res) {
|
||||||
|
double absres0 = std::abs(res[0]);
|
||||||
|
double absres1 = std::abs(res[1]);
|
||||||
|
if (absres0 <= absres1) {
|
||||||
|
return absres1;
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
return absres0;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
/* Local Variables: */
|
/* Local Variables: */
|
||||||
/* c-basic-offset:4 */
|
/* c-basic-offset:4 */
|
||||||
|
|||||||
@ -44,12 +44,22 @@ namespace Opm
|
|||||||
{
|
{
|
||||||
return Opm::linearInterpolation(c_vals_visc, visc_mult_vals, c);
|
return Opm::linearInterpolation(c_vals_visc, visc_mult_vals, c);
|
||||||
}
|
}
|
||||||
|
double viscMultWithDer(double c, double* der) const
|
||||||
|
{
|
||||||
|
*der = Opm::linearInterpolationDerivative(c_vals_visc, visc_mult_vals, c);
|
||||||
|
return Opm::linearInterpolation(c_vals_visc, visc_mult_vals, c);
|
||||||
|
}
|
||||||
double rhor;
|
double rhor;
|
||||||
double dps;
|
double dps;
|
||||||
double adsorbtion(double c) const
|
double adsorbtion(double c) const
|
||||||
{
|
{
|
||||||
return Opm::linearInterpolation(c_vals_ads, ads_vals, c);
|
return Opm::linearInterpolation(c_vals_ads, ads_vals, c);
|
||||||
}
|
}
|
||||||
|
double adsorbtionWithDer(double c, double* der) const
|
||||||
|
{
|
||||||
|
*der = Opm::linearInterpolationDerivative(c_vals_ads, ads_vals, c);
|
||||||
|
return Opm::linearInterpolation(c_vals_ads, ads_vals, c);
|
||||||
|
}
|
||||||
|
|
||||||
std::vector<double> c_vals_visc;
|
std::vector<double> c_vals_visc;
|
||||||
std::vector<double> visc_mult_vals;
|
std::vector<double> visc_mult_vals;
|
||||||
@ -69,7 +79,8 @@ namespace Opm
|
|||||||
const double* porosity,
|
const double* porosity,
|
||||||
const double* porevolume,
|
const double* porevolume,
|
||||||
const IncompPropertiesInterface& props,
|
const IncompPropertiesInterface& props,
|
||||||
const PolymerData& polyprops);
|
const PolymerData& polyprops,
|
||||||
|
int method);
|
||||||
|
|
||||||
/// Solve transport eqn with implicit Euler scheme, reordered.
|
/// Solve transport eqn with implicit Euler scheme, reordered.
|
||||||
/// \TODO Now saturation is expected to be one sw value per cell,
|
/// \TODO Now saturation is expected to be one sw value per cell,
|
||||||
@ -83,6 +94,9 @@ namespace Opm
|
|||||||
double* cmax);
|
double* cmax);
|
||||||
|
|
||||||
virtual void solveSingleCell(int cell);
|
virtual void solveSingleCell(int cell);
|
||||||
|
void solveSingleCellBracketing(int cell);
|
||||||
|
void solveSingleCellSplitting(int cell);
|
||||||
|
|
||||||
|
|
||||||
private:
|
private:
|
||||||
const UnstructuredGrid& grid_;
|
const UnstructuredGrid& grid_;
|
||||||
@ -101,11 +115,19 @@ namespace Opm
|
|||||||
std::vector<double> fractionalflow_; // one per cell
|
std::vector<double> fractionalflow_; // one per cell
|
||||||
std::vector<double> mc_; // one per cell
|
std::vector<double> mc_; // one per cell
|
||||||
const double* visc_;
|
const double* visc_;
|
||||||
|
int method_; // method == 1: double bracketing, method == 2 splitting
|
||||||
|
|
||||||
struct ResidualC;
|
struct ResidualC;
|
||||||
struct ResidualS;
|
struct ResidualS;
|
||||||
|
|
||||||
|
struct ResidualCDir;
|
||||||
|
struct ResidualSDir;
|
||||||
|
struct Residual;
|
||||||
|
|
||||||
double fracFlow(double s, double c, int cell) const;
|
double fracFlow(double s, double c, int cell) const;
|
||||||
|
double fracFlowWithDer(double s, double c, int cell, double* der) const;
|
||||||
double computeMc(double c) const;
|
double computeMc(double c) const;
|
||||||
|
double computeMcWithDer(double c, double* der) const;
|
||||||
};
|
};
|
||||||
|
|
||||||
} // namespace Opm
|
} // namespace Opm
|
||||||
|
|||||||
Loading…
Reference in New Issue
Block a user