void
VertEqImpl::upscale (const TwophaseState& fineScale,
TwophaseState& coarseScale) {
// dimension state object to the top grid
coarseScale.init (*ts, pr->numPhases ());
// upscale pressure and saturation to find the initial state of
// the two-dimensional domain. we only need to set the pressure
// and saturation, the flux is an output field. these methods
// are handled by the props class, since it already has access to
// the densities and weights.
pr->upscale_saturation (&fineScale.saturation ()[0],
&coarseScale.saturation ()[0]);
pr->upd_res_sat (&coarseScale.saturation ()[0]);
pr->upscale_pressure (&coarseScale.saturation ()[0],
&fineScale.pressure ()[0],
&coarseScale.pressure ()[0]);
// use the regular helper method to initialize the face pressure
// since it is implemented in the header, we have access to it
// even though it is in an anonymous namespace!
const UnstructuredGrid& g = this->grid();
initFacePressure (UgGridHelpers::dimensions (g),
UgGridHelpers::numFaces (g),
UgGridHelpers::faceCells (g),
UgGridHelpers::beginFaceCentroids (g),
UgGridHelpers::beginCellCentroids (g),
coarseScale);
// update the properties from the initial state (the
// simulation object won't call this method before the
// first timestep; it assumes that the state is initialized
// accordingly (which is what we do here now)
notify (coarseScale);
}
/// \page tutorial3
/// \section commentedsource1 Program walk-through.
/// \details
/// Main function
/// \snippet tutorial3.cpp main
/// \internal [main]
int main ()
try
{
/// \internal [main]
/// \endinternal
/// \page tutorial3
/// \details
/// We define the grid. A Cartesian grid with 400 cells,
/// each being 10m along each side. Note that we treat the
/// grid as 3-dimensional, but have a thickness of only one
/// layer in the Z direction.
///
/// The Opm::GridManager is responsible for creating and destroying the grid,
/// the UnstructuredGrid data structure contains the actual grid topology
/// and geometry.
/// \snippet tutorial3.cpp grid
/// \internal [grid]
int nx = 20;
int ny = 20;
int nz = 1;
double dx = 10.0;
double dy = 10.0;
double dz = 10.0;
using namespace Opm;
GridManager grid_manager(nx, ny, nz, dx, dy, dz);
const UnstructuredGrid& grid = *grid_manager.c_grid();
int num_cells = grid.number_of_cells;
/// \internal [grid]
/// \endinternal
/// \page tutorial3
/// \details
/// We define the properties of the fluid.\n
/// Number of phases, phase densities, phase viscosities,
/// rock porosity and permeability.
///
/// We always use SI units in the simulator. Many units are
/// available for use, however. They are stored as constants in
/// the Opm::unit namespace, while prefixes are in the Opm::prefix
/// namespace. See Units.hpp for more.
/// \snippet tutorial3.cpp set properties
/// \internal [set properties]
int num_phases = 2;
using namespace Opm::unit;
using namespace Opm::prefix;
std::vector<double> density(num_phases, 1000.0);
std::vector<double> viscosity(num_phases, 1.0*centi*Poise);
double porosity = 0.5;
double permeability = 10.0*milli*darcy;
/// \internal [set properties]
/// \endinternal
/// \page tutorial3
/// \details We define the relative permeability function. We use a basic fluid
/// description and set this function to be linear. For more realistic fluid, the
/// saturation function may be interpolated from experimental data.
/// \snippet tutorial3.cpp relperm
/// \internal [relperm]
SaturationPropsBasic::RelPermFunc rel_perm_func = SaturationPropsBasic::Linear;
/// \internal [relperm]
/// \endinternal
/// \page tutorial3
/// \details We construct a basic fluid and rock property object
/// with the properties we have defined above. Each property is
/// constant and hold for all cells.
/// \snippet tutorial3.cpp properties
/// \internal [properties]
IncompPropertiesBasic props(num_phases, rel_perm_func, density, viscosity,
porosity, permeability, grid.dimensions, num_cells);
/// \internal [properties]
/// \endinternal
/// \page tutorial3
/// \details Gravity parameters. Here, we set zero gravity.
/// \snippet tutorial3.cpp gravity
/// \internal [gravity]
const double *grav = 0;
std::vector<double> omega;
/// \internal [gravity]
/// \endinternal
/// \page tutorial3
/// \details We set up the source term. Positive numbers indicate that the cell is a source,
/// while negative numbers indicate a sink.
/// \snippet tutorial3.cpp source
/// \internal [source]
std::vector<double> src(num_cells, 0.0);
src[0] = 1.;
src[num_cells-1] = -1.;
/// \internal [source]
/// \endinternal
/// \page tutorial3
/// \details We set up the boundary conditions. Letting bcs be empty is equivalent
/// to no-flow boundary conditions.
/// \snippet tutorial3.cpp boundary
/// \internal [boundary]
FlowBCManager bcs;
/// \internal [boundary]
/// \endinternal
/// \page tutorial3
/// \details We may now set up the pressure solver. At this point,
/// unchanging parameters such as transmissibility are computed
/// and stored internally by the IncompTpfa class. The null pointer
/// constructor argument is for wells, which are not used in this tutorial.
/// \snippet tutorial3.cpp pressure solver
/// \internal [pressure solver]
LinearSolverUmfpack linsolver;
IncompTpfa psolver(grid, props, linsolver, grav, NULL, src, bcs.c_bcs());
/// \internal [pressure solver]
/// \endinternal
/// \page tutorial3
/// \details We set up a state object for the wells. Here, there are
/// no wells and we let it remain empty.
/// \snippet tutorial3.cpp well
/// \internal [well]
WellState well_state;
/// \internal [well]
/// \endinternal
/// \page tutorial3
/// \details We compute the pore volume
/// \snippet tutorial3.cpp pore volume
/// \internal [pore volume]
std::vector<double> porevol;
Opm::computePorevolume(grid, props.porosity(), porevol);
/// \internal [pore volume]
/// \endinternal
/// \page tutorial3
/// \details Set up the transport solver. This is a reordering implicit Euler transport solver.
/// \snippet tutorial3.cpp transport solver
/// \internal [transport solver]
const double tolerance = 1e-9;
const int max_iterations = 30;
Opm::TransportSolverTwophaseReorder transport_solver(grid, props, NULL, tolerance, max_iterations);
/// \internal [transport solver]
/// \endinternal
/// \page tutorial3
/// \details Time integration parameters
/// \snippet tutorial3.cpp time parameters
/// \internal [time parameters]
const double dt = 0.1*day;
const int num_time_steps = 20;
/// \internal [time parameters]
/// \endinternal
/// \page tutorial3
/// \details We define a vector which contains all cell indexes. We use this
/// vector to set up parameters on the whole domain.
/// \snippet tutorial3.cpp cell indexes
/// \internal [cell indexes]
std::vector<int> allcells(num_cells);
for (int cell = 0; cell < num_cells; ++cell) {
allcells[cell] = cell;
}
/// \internal [cell indexes]
/// \endinternal
/// \page tutorial3
/// \details
/// We set up a two-phase state object, and
/// initialize water saturation to minimum everywhere.
/// \snippet tutorial3.cpp two-phase state
/// \internal [two-phase state]
TwophaseState state;
state.init(grid.number_of_cells , grid.number_of_faces, 2);
initSaturation( allcells , props , state , MinSat );
/// \internal [two-phase state]
/// \endinternal
/// \page tutorial3
/// \details This string stream will be used to construct a new
/// output filename at each timestep.
/// \snippet tutorial3.cpp output stream
/// \internal [output stream]
std::ostringstream vtkfilename;
/// \internal [output stream]
/// \endinternal
/// \page tutorial3
/// \details Loop over the time steps.
/// \snippet tutorial3.cpp time loop
/// \internal [time loop]
for (int i = 0; i < num_time_steps; ++i) {
/// \internal [time loop]
/// \endinternal
/// \page tutorial3
/// \details Solve the pressure equation
/// \snippet tutorial3.cpp solve pressure
/// \internal [solve pressure]
psolver.solve(dt, state, well_state);
/// \internal [solve pressure]
/// \endinternal
/// \page tutorial3
/// \details Solve the transport equation.
/// \snippet tutorial3.cpp transport solve
/// \internal [transport solve]
transport_solver.solve(&porevol[0], &src[0], dt, state);
/// \internal [transport solve]
/// \endinternal
/// \page tutorial3
/// \details Write the output to file.
/// \snippet tutorial3.cpp write output
/// \internal [write output]
vtkfilename.str("");
vtkfilename << "tutorial3-" << std::setw(3) << std::setfill('0') << i << ".vtu";
std::ofstream vtkfile(vtkfilename.str().c_str());
Opm::DataMap dm;
dm["saturation"] = &state.saturation();
dm["pressure"] = &state.pressure();
Opm::writeVtkData(grid, dm, vtkfile);
}
}
catch (const std::exception &e) {
std::cerr << "Program threw an exception: " << e.what() << "\n";
throw;
}