PeriodicHelpers.hpp

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//===========================================================================
//
// File: PeriodicHelpers.hpp
//
// Created: Fri Aug 14 10:59:57 2009
//
// Author(s): Atgeirr F Rasmussen <atgeirr@sintef.no>
//            Bård Skaflestad     <bard.skaflestad@sintef.no>
//
// $Date$
//
// $Revision$
//
//===========================================================================
 
/*
  Copyright 2009, 2010 SINTEF ICT, Applied Mathematics.
  Copyright 2009, 2010 Statoil ASA.
  
  This file is part of The Open Reservoir Simulator Project (OpenRS).
 
  OpenRS is free software: you can redistribute it and/or modify
  it under the terms of the GNU General Public License as published by
  the Free Software Foundation, either version 3 of the License, or
  (at your option) any later version.
 
  OpenRS is distributed in the hope that it will be useful,
  but WITHOUT ANY WARRANTY; without even the implied warranty of
  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  GNU General Public License for more details.
 
  You should have received a copy of the GNU General Public License
  along with OpenRS.  If not, see <http://www.gnu.org/licenses/>.
*/
 
#ifndef OPENRS_PERIODICHELPERS_HEADER
#define OPENRS_PERIODICHELPERS_HEADER
 
#include "BoundaryPeriodicity.hpp"
#include "BoundaryConditions.hpp"
#include <dune/common/fvector.hh>
#include <array>
#include <algorithm>
#include <iostream>
 
namespace Opm
{
 
 
 
 
 
    template <class BCs>
    void storeFlowCond(BCs& bcs,
               const std::vector<BoundaryFaceInfo>& bfinfo,
               const std::array<FlowBC, 6>& fconditions,
               const std::array<double, 6>& side_areas)
    {
    int num_bdy = bfinfo.size();
    for (int i = 0; i < num_bdy; ++i) {
        FlowBC face_bc = fconditions[bfinfo[i].canon_pos];
        if (face_bc.isNeumann()) {
        face_bc = FlowBC(FlowBC::Neumann, face_bc.outflux()*bfinfo[i].area/side_areas[bfinfo[i].canon_pos]);
        }
        bcs.flowCond(bfinfo[i].bid) = face_bc;
    }
    }
 
 
 
 
 
    template <class BCs>
    void storeSatCond(BCs& bcs,
              const std::vector<BoundaryFaceInfo>& bfinfo,
              const std::array<SatBC, 6>& sconditions)
    {
    int num_bdy = bfinfo.size();
    for (int i = 0; i < num_bdy; ++i) {
        bcs.satCond(bfinfo[i].bid) = sconditions[bfinfo[i].canon_pos];
    }
    }
 
 
    template <class BC>
    std::array<bool, 6> extractPeriodic(const std::array<BC, 6>& bcs)
    {
    std::array<bool, 6> retval = {{ bcs[0].isPeriodic(),
                      bcs[1].isPeriodic(),
                      bcs[2].isPeriodic(),
                      bcs[3].isPeriodic(),
                      bcs[4].isPeriodic(),
                      bcs[5].isPeriodic() }};
    return retval;
    }
 
 
    template <class BCs, class GridInterface>
    void createPeriodic(BCs& fbcs,
            const GridInterface& g,
            const std::array<FlowBC, 2*GridInterface::Dimension>& fconditions,
            const std::array<SatBC, 2*GridInterface::Dimension>& sconditions,
            double spatial_tolerance = 1e-6)
    {
    static_assert(BCs::HasFlowConds, "");
    static_assert(BCs::HasSatConds, "");
    // Check the conditions given.
    for (int i = 0; i < GridInterface::Dimension; ++i) {
        if (fconditions[2*i].isPeriodic()) {
        assert(fconditions[2*i + 1].isPeriodic());
        assert(fconditions[2*i].pressureDifference() == -fconditions[2*i + 1].pressureDifference());
        assert(sconditions[2*i].isPeriodic());
        assert(sconditions[2*i + 1].isPeriodic());
        assert(sconditions[2*i].saturationDifference() == 0.0);
        assert(sconditions[2*i + 1].saturationDifference() == 0.0);
        }
    }
    std::vector<BoundaryFaceInfo> bfinfo;
    std::array<double, 6> side_areas;
    createPeriodicImpl(fbcs, bfinfo, side_areas, g, extractPeriodic(fconditions), spatial_tolerance);
    storeFlowCond(fbcs, bfinfo, fconditions, side_areas);
    storeSatCond(fbcs, bfinfo, sconditions);
    }
 
 
 
 
    template <class BCs, class GridInterface>
    void createPeriodic(BCs& fbcs,
            const GridInterface& g,
            const std::array<FlowBC, 2*GridInterface::Dimension>& fconditions,
            double spatial_tolerance = 1e-6)
    {
    static_assert(BCs::HasFlowConds, "");
    static_assert(!BCs::HasSatConds, "");
    // Check the conditions given.
    for (int i = 0; i < GridInterface::Dimension; ++i) {
        if (fconditions[2*i].isPeriodic()) {
        assert(fconditions[2*i + 1].isPeriodic());
        assert(fconditions[2*i].pressureDifference() == -fconditions[2*i + 1].pressureDifference());
        }
    }
    std::vector<BoundaryFaceInfo> bfinfo;
    std::array<double, 6> side_areas;
    createPeriodicImpl(fbcs, bfinfo, side_areas, g, extractPeriodic(fconditions), spatial_tolerance);
    storeFlowCond(fbcs, bfinfo, fconditions, side_areas);
    }
 
 
 
 
    template <class BCs, class GridInterface>
    void createPeriodic(BCs& fbcs,
            const GridInterface& g,
            const std::array<SatBC, 2*GridInterface::Dimension>& sconditions,
            double spatial_tolerance = 1e-6)
    {
    static_assert(!BCs::HasFlowConds, "");
    static_assert(BCs::HasSatConds, "");
    // Check the conditions given.
    for (int i = 0; i < GridInterface::Dimension; ++i) {
        if (sconditions[2*i].isPeriodic()) {
        assert(sconditions[2*i + 1].isPeriodic());
        assert(sconditions[2*i].saturationDifference() == -sconditions[2*i + 1].saturationDifference());
        }
    }
    std::vector<BoundaryFaceInfo> bfinfo;
    std::array<double, 6> side_areas;
    createPeriodicImpl(fbcs, bfinfo, side_areas, g, extractPeriodic(sconditions), spatial_tolerance);
    storeSatCond(fbcs, bfinfo, sconditions);
    }
 
 
 
    template <class BCs, class GridInterface>
    void createPeriodicImpl(BCs& fbcs,
                std::vector<BoundaryFaceInfo>& bfinfo,
                std::array<double, 6>& side_areas,
                const GridInterface& g,
                const std::array<bool, 2*GridInterface::Dimension>& is_periodic,
                double spatial_tolerance = 1e-6)
    {
        findPeriodicPartners(bfinfo, side_areas, g.grid().leafGridView(), is_periodic, spatial_tolerance);
        int num_bdy = bfinfo.size();
        // This will likely change with boundarySegmentIndex() instead of boundaryId():
        int max_bid = num_bdy;
 
    // Resize the conditions object. We clear it first to make sure it's all defaults.
    fbcs.clear();
    fbcs.resize(max_bid + 1);
 
    // Now we have all the info, and the object to store it in. So we store it...
    for (int i = 0; i < num_bdy; ++i) {
        int bid1 = bfinfo[i].bid;
        int bid2 = bfinfo[i].partner_bid;
        if (bid1 < bid2) {
        // If there is no periodic partner, bid2 will be zero, so we will not end up here.
        fbcs.setPeriodicPartners(bid1, bid2);
        }
        fbcs.setCanonicalBoundaryId(bid1, bfinfo[i].canon_pos + 1);
    }
    }
 
 
 
    template <class BCs, class GridInterface>
    void createLinear(BCs& fbcs,
                      const GridInterface& g,
                      const double pdrop,
                      const int pddir,
                      const double bdy_sat,
                      const bool twodim_hack = false,
                      const double spatial_tolerance = 1e-6)
    {
        // NOTE: Section copied from createPeriodicImpl().
    // Pick out all boundary faces, simultaneously find the
    // bounding box of their centroids, and the max id.
    typedef typename GridInterface::CellIterator CI;
    typedef typename CI::FaceIterator FI;
    typedef typename GridInterface::Vector Vector;
        std::vector<FI> bface_iters;
    Vector low(1e100);
    Vector hi(-1e100);
    int max_bid = 0;
    for (CI c = g.cellbegin(); c != g.cellend(); ++c) {
        for (FI f = c->facebegin(); f != c->faceend(); ++f) {
        if (f->boundaryId()) {
                    bface_iters.push_back(f);
            Vector fcent = f->centroid();
            for (int dd = 0; dd < GridInterface::Dimension; ++dd) {
            low[dd] = std::min(low[dd], fcent[dd]);
            hi[dd] = std::max(hi[dd], fcent[dd]);
            }
            max_bid = std::max(max_bid, f->boundaryId());
        }
        }
    }
        int num_bdy = bface_iters.size();
    if (max_bid != num_bdy) {
        OPM_THROW(std::runtime_error, "createLinear() assumes that every boundary face has a unique boundary id. That seems to be violated.");
    }
        fbcs.resize(max_bid + 1);
 
        // Iterate over boundary faces, setting boundary conditions for their corresponding ids.
        double cmin = low[pddir];
        double cmax = hi[pddir];
        double cdelta = cmax - cmin;
        
        for (int i = 0; i < num_bdy; ++i) {
            Vector fcent = bface_iters[i]->centroid();
            int canon_pos = -1;
        for (int dd = 0; dd < GridInterface::Dimension; ++dd) {
        double coord = fcent[dd];
        if (fabs(coord - low[dd]) <= spatial_tolerance) {
            canon_pos = 2*dd;
            break;
        } else if (fabs(coord - hi[dd]) <= spatial_tolerance) {
            canon_pos = 2*dd + 1;
            break;
        }
        }
        if (canon_pos == -1) {
        std::cerr << "Centroid: " << fcent << "\n";
        std::cerr << "Bounding box min: " << low << "\n";
        std::cerr << "Bounding box max: " << hi << "\n";
        OPM_THROW(std::runtime_error, "Boundary face centroid not on bounding box. Maybe the grid is not an axis-aligned shoe-box?");
        }
            double relevant_coord = fcent[pddir];
            double pressure = pdrop*(1.0 - (relevant_coord - cmin)/cdelta);
            int bid = bface_iters[i]->boundaryId();
            fbcs.setCanonicalBoundaryId(bid, canon_pos + 1);
            fbcs.satCond(bid) = SatBC(SatBC::Dirichlet, bdy_sat);
            fbcs.flowCond(bid) = FlowBC(FlowBC::Dirichlet, pressure);
            if (twodim_hack && canon_pos >= 4) {
                // Noflow for Z- and Z+ boundaries in the 3d-grid-that-is-really-2d case.
                fbcs.flowCond(bid) = FlowBC(FlowBC::Neumann, 0.0);
            }
        }
    }
 
 
} // namespace Opm
 
#endif // OPENRS_PERIODICHELPERS_HEADER