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https://github.com/OPM/opm-simulators.git
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Added varying bounded box for allowable values of c and c in the splitting residual solver.
This commit is contained in:
Xavier Raynaud
parent
f0fc7bf3c0
commit
c63d817332
@ -424,7 +424,7 @@ namespace Opm
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// parametrized by t in [0, t_max], t_out is equal to t when the curve hits the bounding
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// rectangle, x_out=(s_out, c_out) denotes the values of s and c at that point.
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void setup(const double* x_arg, const double* direction_arg, const double* end_point_arg, const double* x_min_arg, const double* x_max_arg, double& t_max_arg)
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void setup(const double* x_arg, const double* direction_arg, const double* end_point_arg, const double* x_min_arg, const double* x_max_arg, double& t_max_out, double& t_out_out)
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{
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double t0, t1;
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x[0] = x_arg[0];
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@ -455,7 +455,8 @@ namespace Opm
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x_out[0] = x[0] + t_out*direction[0];
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x_out[1] = x[1] + t_out*direction[1];
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t_max = t_out + 1;
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t_max_arg = t_max;
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t_max_out = t_max;
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t_out_out = t_out;
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}
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@ -465,8 +466,8 @@ namespace Opm
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x_new[0] = x[0] + t*direction[0];
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x_new[1] = x[1] + t*direction[1];
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} else {
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x_new[0] = (t_max - t)*x_out[0] + end_point[0]*(t - t_out);
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x_new[1] = (t_max - t)*x_out[1] + end_point[1]*(t - t_out);
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x_new[0] = 1/(t_max-t_out)*((t_max - t)*x_out[0] + end_point[0]*(t - t_out));
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x_new[1] = 1/(t_max-t_out)*((t_max - t)*x_out[1] + end_point[1]*(t - t_out));
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}
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}
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@ -480,10 +481,10 @@ namespace Opm
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s = x[0] + t*direction[0];
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c = x[1] + t*direction[1];
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} else {
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s = (t_max - t)*x_out[0] + end_point[0]*(t - t_out);
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c = (t_max - t)*x_out[1] + end_point[1]*(t - t_out);
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s = 1/(t_max-t_out)*((t_max - t)*x_out[0] + end_point[0]*(t - t_out));
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c = 1/(t_max-t_out)*((t_max - t)*x_out[1] + end_point[1]*(t - t_out));
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}
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return s - s0 + dtpv*(outflux*tm.fracFlow(s, c, cell) + influx);
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return s - s0 + dtpv*(outflux*tm.fracFlow(s, c, cell) + influx);
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}
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@ -555,12 +556,12 @@ namespace Opm
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x_new[0] = x[0] + t*direction[0];
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x_new[1] = x[1] + t*direction[1];
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} else {
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x_new[0] = (t_max - t)*x_out[0] + end_point[0]*(t - t_out);
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x_new[1] = (t_max - t)*x_out[1] + end_point[1]*(t - t_out);
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x_new[0] = 1/(t_max-t_out)*((t_max - t)*x_out[0] + end_point[0]*(t - t_out));
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x_new[1] = 1/(t_max-t_out)*((t_max - t)*x_out[1] + end_point[1]*(t - t_out));
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}
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}
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void setup(const double* x_arg, const double* direction_arg, const double* end_point_arg, const double* x_min_arg, const double* x_max_arg, double& t_max_arg)
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void setup(const double* x_arg, const double* direction_arg, const double* end_point_arg, const double* x_min_arg, const double* x_max_arg, double& t_max_out, double& t_out_out)
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{
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bool if_t0 = true;
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bool if_t1 = true;
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@ -609,7 +610,8 @@ namespace Opm
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x_out[0] = x[0] + t_out*direction[0];
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x_out[1] = x[1] + t_out*direction[1];
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t_max = t_out + 1;
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t_max_arg = t_max;
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t_max_out = t_max;
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t_out_out = t_out;
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}
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double operator()(double t) const
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@ -620,8 +622,8 @@ namespace Opm
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s = x[0] + t*direction[0];
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c = x[1] + t*direction[1];
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} else {
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s = (t_max - t)*x_out[0] + end_point[0]*(t - t_out);
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c = (t_max - t)*x_out[1] + end_point[1]*(t - t_out);
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s = 1/(t_max-t_out)*((t_max - t)*x_out[0] + end_point[0]*(t - t_out));
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c = 1/(t_max-t_out)*((t_max - t)*x_out[1] + end_point[1]*(t - t_out));
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}
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double ff = tm.fracFlow(s, c, cell);
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double mc = tm.computeMc(c);
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@ -635,6 +637,171 @@ namespace Opm
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}
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};
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struct TransportModelPolymer::ResidualDir
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{
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int cell;
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int s_or_c; // s_or_c = 0 if s direction, s_or_c = 1 if c direction,
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double s0;
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double c0;
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double cmax0;
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double influx; // sum_j min(v_ij, 0)*f(s_j)
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double influx_polymer; // sum_j min(v_ij, 0)*f(s_j)*mc(c_j)
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double outflux; // sum_j max(v_ij, 0)
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double porosity;
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double dtpv; // dt/pv(i)
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double direction[2];
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double end_point[2];
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double x_max[2];
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double x_min[2];
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double t_out;
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double t_max; // t_max = t_out + 1
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double x_out[2];
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double x[2];
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const TransportModelPolymer& tm;
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ResidualDir(const TransportModelPolymer& tmodel, int cell_index)
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: tm(tmodel)
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{
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cell = cell_index;
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s0 = tm.saturation_[cell];
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c0 = tm.concentration_[cell];
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cmax0 = tm.cmax_[cell];
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double dflux = -tm.source_[cell];
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bool src_is_inflow = dflux < 0.0;
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influx = src_is_inflow ? dflux : 0.0;
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influx_polymer = src_is_inflow ? dflux*tm.computeMc(tm.inflow_c_) : 0.0;
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outflux = !src_is_inflow ? dflux : 0.0;
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dtpv = tm.dt_/tm.porevolume_[cell];
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porosity = tm.porosity_[cell];
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for (int i = tm.grid_.cell_facepos[cell]; i < tm.grid_.cell_facepos[cell+1]; ++i) {
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int f = tm.grid_.cell_faces[i];
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double flux;
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int other;
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// Compute cell flux
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if (cell == tm.grid_.face_cells[2*f]) {
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flux = tm.darcyflux_[f];
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other = tm.grid_.face_cells[2*f+1];
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} else {
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flux =-tm.darcyflux_[f];
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other = tm.grid_.face_cells[2*f];
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}
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// Add flux to influx or outflux, if interior.
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if (other != -1) {
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if (flux < 0.0) {
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influx += flux*tm.fractionalflow_[other];
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influx_polymer += flux*tm.fractionalflow_[other]*tm.mc_[other];
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} else {
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outflux += flux;
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}
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}
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}
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}
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// For a given point x=(s,c) in the s,c plane, set up a piecewise linear curve wich starts
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// from "x" with slope "direction", hits the bound of the rectangle
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// [s_min,s_max]x[c_min,c_max] and continue in a straight line to "end_point". The curve is
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// parametrized by t in [0, t_max], t_out is equal to t when the curve hits the bounding
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// rectangle, x_out=(s_out, c_out) denotes the values of s and c at that point.
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void setup(const double* x_arg, const double* direction_arg, const double* end_point_arg, const double* x_min_arg, const double* x_max_arg, const int& s_or_c_arg, double& t_max_out, double& t_out_out)
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{
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bool if_t0 = true;
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bool if_t1 = true;
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double t0, t1;
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s_or_c = s_or_c_arg;
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x[0] = x_arg[0];
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x[1] = x_arg[1];
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x_max[0] = x_max_arg[0];
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x_max[1] = x_max_arg[1];
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x_min[0] = x_min_arg[0];
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x_min[1] = x_min_arg[1];
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direction[0] = direction_arg[0];
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direction[1] = direction_arg[1];
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end_point[0] = end_point_arg[0];
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end_point[1] = end_point_arg[1];
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if ((end_point[0]-x[0])*direction[0] + (end_point[1]-x[1])*direction[1] < 0) {
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direction[0] *= -1;
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direction[1] *= -1;
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}
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if (direction[0] == 0) {
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if_t0 = false;
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} else {
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if (direction[0] > 0) {
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t0 = (x_max[0] - x[0])/direction[0];
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} else {
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t0 = (x_min[0] - x[0])/direction[0];
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}
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}
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if (direction[1] == 0) {
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if_t1 = false;
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} else {
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if (direction[1] > 0) {
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t1 = (x_max[1] - x[1])/direction[1];
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} else {
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t1 = (x_min[1] - x[1])/direction[1];
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}
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}
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if (if_t0 && if_t1) {
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t_out = std::min(t0, t1);
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} else {
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if (if_t0) {
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t_out = t0;
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} else {
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t_out = t1;
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}
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}
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x_out[0] = x[0] + t_out*direction[0];
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x_out[1] = x[1] + t_out*direction[1];
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t_max = t_out + 1;
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t_max_out = t_max;
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t_out_out = t_out;
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}
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// Compute x=(s,c) for a given t (t is the parameter for the piecewise linear curve)
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void compute_new_x(double* x_new, const double t) {
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if (t <= t_out) {
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x_new[0] = x[0] + t*direction[0];
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x_new[1] = x[1] + t*direction[1];
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} else {
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x_new[0] = 1/(t_max-t_out)*((t_max - t)*x_out[0] + end_point[0]*(t - t_out));
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x_new[1] = 1/(t_max-t_out)*((t_max - t)*x_out[1] + end_point[1]*(t - t_out));
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}
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}
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double operator()(double t) const
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{
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double s;
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double c;
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if (t <= t_out) {
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s = x[0] + t*direction[0];
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c = x[1] + t*direction[1];
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} else {
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s = 1/(t_max-t_out)*((t_max - t)*x_out[0] + end_point[0]*(t - t_out));
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c = 1/(t_max-t_out)*((t_max - t)*x_out[1] + end_point[1]*(t - t_out));
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}
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if (s_or_c == 0) {
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return s - s0 + dtpv*(outflux*tm.fracFlow(s, c, cell) + influx);
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} else if (s_or_c == 1) {
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double ff = tm.fracFlow(s, c, cell);
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double mc = tm.computeMc(c);
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double dps = tm.polyprops_.dps;
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double rhor = tm.polyprops_.rhor;
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double ads0 = tm.polyprops_.adsorbtion(std::max(c0, cmax0));
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double ads = tm.polyprops_.adsorbtion(std::max(c, cmax0));
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return (s - dps)*c - (s0 - dps)*c0
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+ rhor*((1.0 - porosity)/porosity)*(ads - ads0)
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+ dtpv*(outflux*ff*mc + influx_polymer);
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} else {
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std::cout << "problem!" << std::endl;
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}
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}
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};
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void TransportModelPolymer::solveSingleCell(const int cell)
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{
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@ -667,7 +834,7 @@ namespace Opm
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void TransportModelPolymer::solveSingleCellSplitting(int cell)
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{
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const int max_iters_falsi = 20;
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const double tol = 1e-9;
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const double tol = 1e-7;
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int iters_used_falsi = 0;
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const int max_iters_split = 20;
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int iters_used_split = 0;
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@ -675,6 +842,9 @@ namespace Opm
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Residual residual(*this, cell);
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ResidualSDir residual_s_dir(*this, cell);
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ResidualCDir residual_c_dir(*this, cell);
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// const int sdir = 0;
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// const int cdir = 1;
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// ResidualDir residual_dir(*this, cell);
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double x[2] = {saturation_[cell], concentration_[cell]};
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double res[2];
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residual.computeResidual(x, res);
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@ -688,6 +858,7 @@ namespace Opm
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double x_max[2] = {1.0, polyprops_.c_max_limit};
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double t;
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double t_max;
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double t_out;
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double direction[2];
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double end_point[2];
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double gradient[2];
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@ -699,15 +870,24 @@ namespace Opm
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end_point[1] = x_min[1];
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direction[0] = end_point[0] - x[0];
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direction[1] = end_point[1] - x[1];
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residual_s_dir.setup(x, direction, end_point, x_min, x_max, t_max);
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residual_s_dir.setup(x, direction, end_point, x_min, x_max, t_max, t_out);
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if (residual_s_dir(t_out) >= 0) {
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t_max = t_out;
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}
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} else {
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end_point[0] = x_min[0];
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end_point[1] = x_max[1];
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direction[0] = end_point[0] - x[0];
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direction[1] = end_point[1] - x[1];
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residual_s_dir.setup(x, direction, end_point, x_min, x_max, t_max);
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residual_s_dir.setup(x, direction, end_point, x_min, x_max, t_max, t_out);
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if (residual_s_dir(t_out) <= 0) {
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t_max = t_out;
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}
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}
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t = modifiedRegulaFalsi(residual_s_dir, 0., t_max, max_iters_falsi, tol, iters_used_falsi);
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if (std::abs(residual_s_dir(t)) > tol) {
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std::cout << "modifiedRegulaFalsi did not produce result under tolerance." << std::endl;
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}
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residual_s_dir.compute_new_x(x, t);
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}
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res_s_done = true;
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@ -719,15 +899,24 @@ namespace Opm
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end_point[1] = x_max[1];
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direction[0] = end_point[0] - x[0];
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direction[1] = end_point[1] - x[1];
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residual_c_dir.setup(x, direction, end_point, x_min, x_max, t_max);
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residual_c_dir.setup(x, direction, end_point, x_min, x_max, t_max, t_out);
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if (residual_c_dir(t_out) >= 0) {
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t_max = t_out;
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}
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} else {
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end_point[0] = x_min[0];
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end_point[1] = x_min[1];
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direction[0] = end_point[0] - x[0];
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direction[1] = end_point[1] - x[1];
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residual_c_dir.setup(x, direction, end_point, x_min, x_max, t_max);
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residual_c_dir.setup(x, direction, end_point, x_min, x_max, t_max, t_out);
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if (residual_c_dir(t_out) <= 0) {
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t_max = t_out;
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}
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}
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t = modifiedRegulaFalsi(residual_c_dir, 0., t_max, max_iters_falsi, tol, iters_used_falsi);
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if (std::abs(residual_c_dir(t)) > tol) {
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std::cout << "modifiedRegulaFalsi did not produce result under tolerance." << std::endl;
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}
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residual_c_dir.compute_new_x(x, t);
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}
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res_s_done = false;
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@ -739,15 +928,37 @@ namespace Opm
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direction[0] = -gradient[1];
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direction[1] = gradient[0];
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if (res[1] < 0) {
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// We update the bounding box (Here we assume that the curve res_s(s,c)=0 is
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// increasing). We do it only for a significantly large res[1]
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if (res[1] < -tol ) {
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x_min[0] = x[0];
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x_min[1] = x[1];
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}
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//
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end_point[0] = x_max[0];
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end_point[1] = x_max[1];
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residual_c_dir.setup(x, direction, end_point, x_min, x_max, t_max);
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residual_c_dir.setup(x, direction, end_point, x_min, x_max, t_max, t_out);
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if (residual_c_dir(t_out) >= 0) {
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t_max = t_out;
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}
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} else {
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// We update the bounding box (Here we assume that the curve res_s(s,c)=0 is increasing)
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if (res[1] > tol) {
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x_max[0] = x[0];
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x_max[1] = x[1];
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}
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//
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end_point[0] = x_min[0];
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end_point[1] = x_min[1];
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residual_c_dir.setup(x, direction, end_point, x_min, x_max, t_max);
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residual_c_dir.setup(x, direction, end_point, x_min, x_max, t_max, t_out);
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if (residual_c_dir(t_out) <= 0) {
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t_max = t_out;
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}
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}
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t = modifiedRegulaFalsi(residual_c_dir, 0., t_max, max_iters_falsi, tol, iters_used_falsi);
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if (std::abs(residual_c_dir(t)) > tol) {
|
||||
std::cout << "modifiedRegulaFalsi did not produce result under tolerance." << std::endl;
|
||||
}
|
||||
residual_c_dir.compute_new_x(x, t);
|
||||
residual.computeGradient(x, res, gradient, false, 1);
|
||||
res_s_done = false;
|
||||
@ -757,13 +968,22 @@ namespace Opm
|
||||
if (res[0] < 0) {
|
||||
end_point[0] = x_max[0];
|
||||
end_point[1] = x_min[1];
|
||||
residual_s_dir.setup(x, direction, end_point, x_min, x_max, t_max);
|
||||
residual_s_dir.setup(x, direction, end_point, x_min, x_max, t_max, t_out);
|
||||
if (residual_s_dir(t_out) >= 0) {
|
||||
t_max = t_out;
|
||||
}
|
||||
} else {
|
||||
end_point[0] = x_min[0];
|
||||
end_point[1] = x_max[1];
|
||||
residual_s_dir.setup(x, direction, end_point, x_min, x_max, t_max);
|
||||
residual_s_dir.setup(x, direction, end_point, x_min, x_max, t_max, t_out);
|
||||
if (residual_s_dir(t_out) <= 0) {
|
||||
t_max = t_out;
|
||||
}
|
||||
}
|
||||
t = modifiedRegulaFalsi(residual_s_dir, 0., t_max, max_iters_falsi, tol, iters_used_falsi);
|
||||
if (std::abs(residual_s_dir(t)) > tol) {
|
||||
std::cout << "modifiedRegulaFalsi did not produce result under tolerance." << std::endl;
|
||||
}
|
||||
residual_s_dir.compute_new_x(x, t);
|
||||
res_s_done = true;
|
||||
residual.computeGradient(x, res, gradient, true, 1);
|
||||
@ -830,11 +1050,11 @@ namespace Opm
|
||||
} while (((max_s_change > tol_) || (max_c_change > tol_)) && ++num_iters < maxit_);
|
||||
if (max_s_change > tol_) {
|
||||
THROW("In solveMultiCell(), we did not converge after "
|
||||
<< num_iters << " iterations. Delta s = " << max_s_change);
|
||||
<< num_iters << " iterations. Delta s = " << max_s_change);
|
||||
}
|
||||
if (max_c_change > tol_) {
|
||||
THROW("In solveMultiCell(), we did not converge after "
|
||||
<< num_iters << " iterations. Delta c = " << max_c_change);
|
||||
<< num_iters << " iterations. Delta c = " << max_c_change);
|
||||
}
|
||||
std::cout << "Solved " << num_cells << " cell multicell problem in "
|
||||
<< num_iters << " iterations." << std::endl;
|
||||
|
||||
@ -131,6 +131,7 @@ namespace Opm
|
||||
// Residual functions which are used in splitting method
|
||||
struct ResidualCDir;
|
||||
struct ResidualSDir;
|
||||
struct ResidualDir;
|
||||
struct Residual;
|
||||
|
||||
double fracFlow(double s, double c, int cell) const;
|
||||
|
||||
Loading…
Reference in New Issue
Block a user