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Optimized newton solver.

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This commit is contained in:
Xavier Raynaud 2012-06-14 16:52:03 +02:00
parent 9e7a738767
commit 168c4c9e3d
1 changed files with 55 additions and 38 deletions
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93
opm/polymer/TransportModelPolymer.cpp
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@ -107,7 +107,7 @@ public:
namespace namespace
{ {
bool check_interval(double* x, const double* xmin, const double* xmax); bool check_interval(const double* xmin, const double* xmax, double* x);
double norm(double* res) double norm(double* res)
{ {
@ -730,12 +730,7 @@ namespace Opm
res_eq.computeGradientResS(x_c, res, gradient); res_eq.computeGradientResS(x_c, res, gradient);
// dResS/d(s_) = dResS/ds - c/s*dResS/ds // dResS/d(s_) = dResS/ds - c/s*dResS/ds
// dResS/d(sc_) = -1/s*dResS/dc // dResS/d(sc_) = -1/s*dResS/dc
if (x[0] < 1e-2*tol_) { if (x[0] > 1e-2*tol_) {
// We take 1.0/s*gradient[1]: wrong for linear permeability,
// acceptable for nonlinear relative permeability.
direction[0] = 0.0;
direction[1] = gradient[0];
} else {
// With s,c variables, we should have // With s,c variables, we should have
// direction[0] = -gradient[1]; // direction[0] = -gradient[1];
// direction[1] = gradient[0]; // direction[1] = gradient[0];
@ -743,6 +738,10 @@ namespace Opm
scToc(x, x_c); scToc(x, x_c);
direction[0] = 1.0/x[0]*gradient[1]; direction[0] = 1.0/x[0]*gradient[1];
direction[1] = gradient[0] - x_c[1]/x[0]*gradient[1]; direction[1] = gradient[0] - x_c[1]/x[0]*gradient[1];
} else {
// acceptable approximation for nonlinear relative permeability.
direction[0] = 0.0;
direction[1] = gradient[0];
} }
if_res_s = false; if_res_s = false;
} }
@ -759,12 +758,7 @@ namespace Opm
res_eq.computeGradientResC(x, res, gradient); res_eq.computeGradientResC(x, res, gradient);
// dResC/d(s_) = dResC/ds - c/s*dResC/ds // dResC/d(s_) = dResC/ds - c/s*dResC/ds
// dResC/d(sc_) = -1/s*dResC/dc // dResC/d(sc_) = -1/s*dResC/dc
if (x[0] < 1e-2*tol_) { if (x[0] > 1e-2*tol_) {
// We take 1.0/s*gradient[1]: wrong for linear permeability,
// acceptable for nonlinear relative permeability.
direction[0] = 0.0;
direction[1] = gradient[0];
} else {
// With s,c variables, we should have // With s,c variables, we should have
// direction[0] = -gradient[1]; // direction[0] = -gradient[1];
// direction[1] = gradient[0]; // direction[1] = gradient[0];
@ -772,6 +766,11 @@ namespace Opm
scToc(x, x_c); scToc(x, x_c);
direction[0] = 1.0/x[0]*gradient[1]; direction[0] = 1.0/x[0]*gradient[1];
direction[1] = gradient[0] - x_c[1]/x[0]*gradient[1]; direction[1] = gradient[0] - x_c[1]/x[0]*gradient[1];
} else {
// We take 1.0/s*gradient[1]: wrong for linear permeability,
// acceptable for nonlinear relative permeability.
direction[0] = 1.0 - res_eq.dps;
direction[1] = gradient[0];
} }
if_res_s = true; if_res_s = true;
} }
@ -852,50 +851,68 @@ namespace Opm
fractionalflow_[cell] = ff; fractionalflow_[cell] = ff;
mc_[cell] = mc; mc_[cell] = mc;
return; return;
} else { } else if (0.99 < x[0]) {
x[0]=0.5; x[1]=polyprops_.cMax()/2.0; // x[0] = 0.5;
res_eq.computeResidual(x, res, mc, ff); // x[1] = polyprops_.cMax()/2.0;
// res_eq.computeResidual(x, res, mc, ff);
} }
double x_min[2] = { 0.0, 0.0 }; double x_min[2] = { 0.0, 0.0 };
double x_max[2] = { 1.0, polyprops_.cMax()*1.1 }; double x_max[2] = { 1.0, polyprops_.cMax()*1.1 };
bool successfull_newton_step = true; bool successfull_newton_step = true;
double x_new[2]; // initialize x_new to avoid warning
double x_new[2] = {0.0, 0.0};
double res_new[2]; double res_new[2];
ResSOnCurve res_s_on_curve(res_eq); ResSOnCurve res_s_on_curve(res_eq);
ResCOnCurve res_c_on_curve(res_eq); ResCOnCurve res_c_on_curve(res_eq);
// We switch to s-sc variable
x[1] = x[0]*x[1];
// x_c will contain the s-c variable
double x_c[2];
while ((norm(res) > tol_) && while ((norm(res) > tol_) &&
(iters_used_split < max_iters_split) && (iters_used_split < max_iters_split) &&
successfull_newton_step) { successfull_newton_step) {
double dres_s_dsdc[2]; double dres_s_dsdc[2];
double dres_c_dsdc[2]; double dres_c_dsdc[2];
res_eq.computeJacobiRes(x, dres_s_dsdc, dres_c_dsdc); scToc(x, x_c);
// double det = dres_s_dsdc[0]*dres_c_dsdc[1] - dres_c_dsdc[0]*dres_s_dsdc[1]; res_eq.computeJacobiRes(x_c, dres_s_dsdc, dres_c_dsdc);
double dFx_dx=(dres_s_dsdc[0]-x[1]*dres_s_dsdc[1]/x[0]); double dFx_dx = (dres_s_dsdc[0]-x_c[1]*dres_s_dsdc[1]);
double dFx_dy= (dres_s_dsdc[1]/x[0]); double dFx_dy;
double dFy_dx=(dres_c_dsdc[0]-x[1]*dres_c_dsdc[1]/x[0]); if (x[0] < 1e-2*tol_) {
double dFy_dy= (dres_c_dsdc[1]/x[0]); dFx_dy = 0.0;
} else {
dFx_dy = (dres_s_dsdc[1]/x[0]);
}
double dFy_dx = (dres_c_dsdc[0]-x_c[1]*dres_c_dsdc[1]);
double dFy_dy;
if (x[0] < 1e-2*tol_) {
dFy_dy = 1.0 - res_eq.dps;
} else {
dFy_dy = (dres_c_dsdc[1]/x[0]);
}
double det = dFx_dx*dFy_dy - dFy_dx*dFx_dy; double det = dFx_dx*dFy_dy - dFy_dx*dFx_dy;
double alpha=1; double alpha = 1.0;
int max_lin_it=100; int max_lin_it = 100;
int lin_it=0; int lin_it = 0;
res_new[0]=res[0]*2; res_new[0] = res[0]*2;
res_new[1]=res[1]*2; res_new[1] = res[1]*2;
while((norm(res_new)>norm(res)) && (lin_it<max_lin_it)) { while((norm(res_new)>norm(res)) && (lin_it<max_lin_it)) {
x_new[0] = x[0] - alpha*(res[0]*dFy_dy - res[1]*dFx_dy)/det; x_new[0] = x[0] - alpha*(res[0]*dFy_dy - res[1]*dFx_dy)/det;
x_new[1] = x[1]*x[0] - alpha*(res[1]*dFx_dx - res[0]*dFy_dx)/det; x_new[1] = x[1] - alpha*(res[1]*dFx_dx - res[0]*dFy_dx)/det;
x_new[1] = (x_new[0]>0) ? x_new[1]/x_new[0] : 0.0; check_interval(x_min, x_max, x_new);
check_interval(x_new, x_min, x_max); scToc(x_new, x_c);
res_eq.computeResidual(x_new, res_new, mc, ff); res_eq.computeResidual(x_c, res_new, mc, ff);
alpha=alpha/2.0; alpha = alpha/2.0;
lin_it=lin_it+1; lin_it = lin_it + 1;
} }
if (lin_it>=max_lin_it) { if (lin_it>=max_lin_it) {
successfull_newton_step = false; successfull_newton_step = false;
} else { } else {
x[0] = x_new[0]; scToc(x_new, x_c);
x[1] = x_new[1]; x[0] = x_c[0];
x[1] = x_c[1];
res[0] = res_new[0]; res[0] = res_new[0];
res[1] = res_new[1]; res[1] = res_new[1];
iters_used_split += 1; iters_used_split += 1;
@ -1316,7 +1333,7 @@ namespace Opm
void TransportModelPolymer::scToc(const double* x, double* x_c) const { void TransportModelPolymer::scToc(const double* x, double* x_c) const {
x_c[0] = x[0]; x_c[0] = x[0];
if (x[0] < 1e-2*tol_) { if (x[0] < 1e-2*tol_) {
x_c[1] = polyprops_.cMax(); x_c[1] = 0.5*polyprops_.cMax();
} else { } else {
x_c[1] = x[1]/x[0]; x_c[1] = x[1]/x[0];
} }
@ -1327,7 +1344,7 @@ namespace Opm
namespace namespace
{ {
bool check_interval(double* x, const double* xmin, const double* xmax) { bool check_interval(const double* xmin, const double* xmax, double* x) {
bool test = false; bool test = false;
if (x[0] < xmin[0]) { if (x[0] < xmin[0]) {
test = true; test = true;