// Solve with no rock compressibility (linear eqn).
void IncompTpfa::solveIncomp(const double dt,
SimulatorState& state,
WellState& well_state)
{
// Set up properties.
computePerSolveDynamicData(dt, state, well_state);
// Assemble.
UnstructuredGrid* gg = const_cast<UnstructuredGrid*>(&grid_);
int ok = ifs_tpfa_assemble(gg, &forces_, &trans_[0], &gpress_omegaweighted_[0], h_);
if (!ok) {
OPM_THROW(std::runtime_error, "Failed assembling pressure system.");
}
// Solve.
linsolver_.solve(h_->A, h_->b, h_->x);
// Obtain solution.
assert(int(state.pressure().size()) == grid_.number_of_cells);
assert(int(state.faceflux().size()) == grid_.number_of_faces);
ifs_tpfa_solution soln = { NULL, NULL, NULL, NULL };
soln.cell_press = &state.pressure()[0];
soln.face_flux = &state.faceflux()[0];
if (wells_ != NULL) {
assert(int(well_state.bhp().size()) == wells_->number_of_wells);
assert(int(well_state.perfRates().size()) == wells_->well_connpos[ wells_->number_of_wells ]);
soln.well_flux = &well_state.perfRates()[0];
soln.well_press = &well_state.bhp()[0];
}
ifs_tpfa_press_flux(gg, &forces_, &trans_[0], h_, &soln);
}
/// Solve pressure equation, by Newton iterations.
void CompressibleTpfa::solve(const double dt,
BlackoilState& state,
WellState& well_state)
{
const int nc = grid_.number_of_cells;
const int nw = (wells_ != 0) ? wells_->number_of_wells : 0;
// Set up dynamic data.
computePerSolveDynamicData(dt, state, well_state);
computePerIterationDynamicData(dt, state, well_state);
// Assemble J and F.
assemble(dt, state, well_state);
double inc_norm = 0.0;
int iter = 0;
double res_norm = residualNorm();
std::cout << "\nIteration Residual Change in p\n"
<< std::setw(9) << iter
<< std::setw(18) << res_norm
<< std::setw(18) << '*' << std::endl;
while ((iter < maxiter_) && (res_norm > residual_tol_)) {
// Solve for increment in Newton method:
// incr = x_{n+1} - x_{n} = -J^{-1}F
// (J is Jacobian matrix, F is residual)
solveIncrement();
++iter;
// Update pressure vars with increment.
for (int c = 0; c < nc; ++c) {
state.pressure()[c] += pressure_increment_[c];
}
for (int w = 0; w < nw; ++w) {
well_state.bhp()[w] += pressure_increment_[nc + w];
}
// Stop iterating if increment is small.
inc_norm = incrementNorm();
if (inc_norm <= change_tol_) {
std::cout << std::setw(9) << iter
<< std::setw(18) << '*'
<< std::setw(18) << inc_norm << std::endl;
break;
}
// Set up dynamic data.
computePerIterationDynamicData(dt, state, well_state);
// Assemble J and F.
assemble(dt, state, well_state);
// Update residual norm.
res_norm = residualNorm();
std::cout << std::setw(9) << iter
<< std::setw(18) << res_norm
<< std::setw(18) << inc_norm << std::endl;
}
if ((iter == maxiter_) && (res_norm > residual_tol_) && (inc_norm > change_tol_)) {
OPM_THROW(std::runtime_error, "CompressibleTpfa::solve() failed to converge in " << maxiter_ << " iterations.");
}
std::cout << "Solved pressure in " << iter << " iterations." << std::endl;
// Compute fluxes and face pressures.
computeResults(state, well_state);
}
