From c028d52f5a5ed786dd7254429b01edfd1fefb03c Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Atgeirr=20Fl=C3=B8=20Rasmussen?= Date: Tue, 7 May 2013 13:13:38 +0200 Subject: [PATCH] Added gravity treatment to transport solver (untested). --- AutoDiffHelpers.hpp | 9 +++--- SimulatorIncompTwophaseAdfi.cpp | 1 + TransportSolverTwophaseAd.cpp | 57 +++++++++++++++++++++++++++++---- TransportSolverTwophaseAd.hpp | 4 +++ 4 files changed, 61 insertions(+), 10 deletions(-) diff --git a/AutoDiffHelpers.hpp b/AutoDiffHelpers.hpp index e94eaf856..c0c7eaaf8 100644 --- a/AutoDiffHelpers.hpp +++ b/AutoDiffHelpers.hpp @@ -144,16 +144,17 @@ namespace { /// Upwind selection in absence of counter-current flow (i.e., /// without effects of gravity and/or capillary pressure). template - class UpwindSelectorTotalFlux { + class UpwindSelector { public: typedef AutoDiff::ForwardBlock ADB; - UpwindSelectorTotalFlux(const UnstructuredGrid& g, - const HelperOps& h, - const typename ADB::V& ifaceflux) + UpwindSelector(const UnstructuredGrid& g, + const HelperOps& h, + const typename ADB::V& ifaceflux) { typedef HelperOps::IFaces::Index IFIndex; const IFIndex nif = h.internal_faces.size(); + assert(nif == ifaceflux.size()); // Define selector structure. typedef typename Eigen::Triplet Triplet; diff --git a/SimulatorIncompTwophaseAdfi.cpp b/SimulatorIncompTwophaseAdfi.cpp index 6b6b67642..d34bd2a08 100644 --- a/SimulatorIncompTwophaseAdfi.cpp +++ b/SimulatorIncompTwophaseAdfi.cpp @@ -368,6 +368,7 @@ namespace Opm tsolver_.reset(new Opm::TransportSolverTwophaseAd(grid, props, linsolver, + gravity, param)); } else { THROW("Unknown transport solver type: " << transport_solver_type_); diff --git a/TransportSolverTwophaseAd.cpp b/TransportSolverTwophaseAd.cpp index efd78de6f..623d3ec3e 100644 --- a/TransportSolverTwophaseAd.cpp +++ b/TransportSolverTwophaseAd.cpp @@ -20,6 +20,7 @@ #include "TransportSolverTwophaseAd.hpp" #include #include +#include #include #include #include @@ -33,15 +34,18 @@ namespace Opm /// \param[in] grid A 2d or 3d grid. /// \param[in] props Rock and fluid properties. /// \param[in] linsolver Linear solver for Newton-Raphson scheme. + /// \param[in] gravity Gravity vector (null for no gravity). /// \param[in] param Parameters for the solver. TransportSolverTwophaseAd::TransportSolverTwophaseAd(const UnstructuredGrid& grid, const IncompPropertiesInterface& props, const LinearSolverInterface& linsolver, + const double* gravity, const parameter::ParameterGroup& param) : grid_(grid), props_(props), linsolver_(linsolver), ops_(grid), + gravity_(0.0), tol_(param.getDefault("nl_tolerance", 1e-9)), maxit_(param.getDefault("nl_maxiter", 30)) { @@ -50,6 +54,23 @@ namespace Opm for (int i = 0; i < nc; ++i) { allcells_[i] = i; } + if (gravity) { + gravity_ = gravity[grid_.dimensions - 1]; + for (int dd = 0; dd < grid_.dimensions - 1; ++dd) { + if (gravity[dd] != 0.0) { + THROW("TransportSolverTwophaseAd: can only handle gravity aligned with last dimension"); + } + } + V htrans(grid.cell_facepos[grid.number_of_cells]); + tpfa_htrans_compute(const_cast(&grid), props.permeability(), htrans.data()); + V trans(grid_.number_of_faces); + tpfa_trans_compute(const_cast(&grid), htrans.data(), trans.data()); + const int num_internal = ops_.internal_faces.size(); + transi_.resize(num_internal); + for (int fi = 0; fi < num_internal; ++fi) { + transi_[fi] = trans[ops_.internal_faces[fi]]; + } + } } @@ -148,22 +169,43 @@ namespace Opm const TwoCol s0 = Eigen::Map(state.saturation().data(), nc, 2); double res_norm = 1e100; const V sw0 = s0.leftCols<1>(); + // sw1 is the object that will be changed every Newton iteration. // V sw1 = sw0; V sw1 = 0.5*V::Ones(nc,1); - const V p1 = Vec(state.pressure().data(), nc, 1); - const V ndp = (ops_.ngrad * p1.matrix()).array(); const V dflux_all = Vec(state.faceflux().data(), grid_.number_of_faces, 1); const int num_internal = ops_.internal_faces.size(); V dflux(num_internal); for (int fi = 0; fi < num_internal; ++fi) { dflux[fi] = dflux_all[ops_.internal_faces[fi]]; } - const UpwindSelectorTotalFlux upwind(grid_, ops_, dflux); + + // Upwind selection of mobilities by phase. + // We have that for a phase P + // v_P = lambda_P K (-grad p + rho_P g grad z) + // and we assume that this has the same direction as + // v_P' = -grad p + rho_P g grad z. + // This may not be true for arbitrary anisotropic situations, + // but for scalar lambda and using TPFA it holds. + const V p1 = Vec(state.pressure().data(), nc, 1); + const V ndp = (ops_.ngrad * p1.matrix()).array(); + typedef Eigen::Array DynArr; + const V z = Eigen::Map(grid_.cell_centroids, nc, grid_.dimensions).rightCols<1>(); + const V ndz = (ops_.ngrad * z.matrix()).array(); + ASSERT(num_internal == ndp.size()); + const double* density = props_.density(); + const V vw = ndp - ndz*(gravity_*density[0]); + const V vo = ndp - ndz*(gravity_*density[1]); + const UpwindSelector upwind_w(grid_, ops_, vw); + const UpwindSelector upwind_o(grid_, ops_, vo); + + // Compute more explicit and constant terms used in the equations. const V pv = Vec(porevolume, nc, 1); const V dtpv = dt/pv; const V q = Vec(source, nc, 1); const V qneg = q.min(V::Zero(nc,1)); const V qpos = q.max(V::Zero(nc,1)); + const double gfactor = gravity_*(density[0] - density[1]); + const V gravflux = ndz*transi_*gfactor; // Block pattern for variables. // Primary variables: @@ -177,10 +219,13 @@ namespace Opm const ADB sw = ADB::variable(0, sw1, bpat); const std::vector pmobc = phaseMobility(props_, allcells_, sw.value()); const ADB fw_cell = fluxFunc(pmobc); - const ADB fw_face = upwind.select(fw_cell); - const ADB flux1 = fw_face * dflux; + // const ADB fw_face = upwind.select(fw_cell); + const std::vector pmobf = { upwind_w.select(pmobc[0]), + upwind_o.select(pmobc[1]) }; + const ADB fw_face = fluxFunc(pmobf); + const ADB flux = fw_face * (dflux - pmobf[1]*gravflux); const ADB qtr_ad = qpos + fw_cell*qneg; - const ADB transport_residual = sw - sw0 + dtpv*(ops_.div*flux1 - qtr_ad); + const ADB transport_residual = sw - sw0 + dtpv*(ops_.div*flux - qtr_ad); res_norm = transport_residual.value().matrix().norm(); std::cout << "Residual l2-norm = " << res_norm << std::endl; diff --git a/TransportSolverTwophaseAd.hpp b/TransportSolverTwophaseAd.hpp index efd757688..6d7999066 100644 --- a/TransportSolverTwophaseAd.hpp +++ b/TransportSolverTwophaseAd.hpp @@ -43,10 +43,12 @@ namespace Opm /// \param[in] grid A 2d or 3d grid. /// \param[in] props Rock and fluid properties. /// \param[in] linsolver Linear solver for Newton-Raphson scheme. + /// \param[in] gravity Gravity vector (null for no gravity). /// \param[in] param Parameters for the solver. TransportSolverTwophaseAd(const UnstructuredGrid& grid, const IncompPropertiesInterface& props, const LinearSolverInterface& linsolver, + const double* gravity, const parameter::ParameterGroup& param); // Virtual destructor. @@ -75,9 +77,11 @@ namespace Opm const IncompPropertiesInterface& props_; const LinearSolverInterface& linsolver_; const HelperOps ops_; + double gravity_; double tol_; int maxit_; std::vector allcells_; + V transi_; }; } // namespace Opm