ProcessScalar.cpp

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////////////////////////////////////////////////////////////////////////////////
//
//  File: ProcessScalar.cpp
//
//  For more information, please see: http://www.nektar.info/
//
//  The MIT License
//
//  Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
//  Department of Aeronautics, Imperial College London (UK), and Scientific
//  Computing and Imaging Institute, University of Utah (USA).
//
//  License for the specific language governing rights and limitations under
//  Permission is hereby granted, free of charge, to any person obtaining a
//  copy of this software and associated documentation files (the "Software"),
//  to deal in the Software without restriction, including without limitation
//  the rights to use, copy, modify, merge, publish, distribute, sublicense,
//  and/or sell copies of the Software, and to permit persons to whom the
//  Software is furnished to do so, subject to the following conditions:
//
//  The above copyright notice and this permission notice shall be included
//  in all copies or substantial portions of the Software.
//
//  THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
//  OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
//  FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
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//
//  Description: Add scalar function curvature to a given surface.
//
////////////////////////////////////////////////////////////////////////////////

#include "../MeshElements.h"
#include "ProcessScalar.h"

#include <SpatialDomains/MeshGraph.h>
#include <LocalRegions/QuadExp.h>
#include <LibUtilities/Interpreter/AnalyticExpressionEvaluator.hpp>
#include <LibUtilities/Foundations/ManagerAccess.h>

#include <vector>
using namespace std;

namespace Nektar
{
    namespace Utilities
    {
        ModuleKey ProcessScalar::className =
            GetModuleFactory().RegisterCreatorFunction(
                ModuleKey(eProcessModule, "scalar"), ProcessScalar::create,
                "Impose a scalar function z=f(x,y) on a surface.");

        ProcessScalar::ProcessScalar(MeshSharedPtr m) : ProcessModule(m)
        {
            m_config["surf"]   = ConfigOption(false, "-1",
                "Tag identifying surface/composite to process.");
            m_config["nq"]     = ConfigOption(false, "-1",
                "Number of quadrature points to generate.");
            m_config["scalar"] = ConfigOption(false, "",
                "Expression to evaluate.");
        }

        ProcessScalar::~ProcessScalar()
        {
        }

        void ProcessScalar::Process()
        {
            int i, j, k;
            string surf = m_config["surf"].as<string>();

            // Obtain vector of surface IDs from string.
            vector<unsigned int> surfs;
            ParseUtils::GenerateSeqVector(surf.c_str(), surfs);
            sort(surfs.begin(), surfs.end());

            // If we're running in verbose mode print out a list of surfaces.
            if (m_mesh->m_verbose)
            {
                cout << "ProcessScalar: extracting surface"
                     << (surfs.size() > 1 ? "s" : "") << " " << surf << endl;
            }

            const int nq = m_config["nq"].as<int>();
            string expr  = m_config["scalar"].as<string>();

            LibUtilities::AnalyticExpressionEvaluator rEval;
            int rExprId = rEval.DefineFunction("x y z", expr);

            // Make a copy of all existing elements of one dimension lower.
            vector<ElementSharedPtr> el = m_mesh->m_element[m_mesh->m_expDim-1];

            // Iterate over list of surface elements.
            for (i = 0; i < el.size(); ++i)
            {
                // Work out whether this lies on our surface of interest.
                vector<int> inter, tags = el[i]->GetTagList();

                sort(tags.begin(), tags.end());
                set_intersection(surfs.begin(), surfs.end(),
                                 tags .begin(), tags .end(),
                                 back_inserter(inter));

                // It doesn't continue to next element.
                if (inter.size() != 1)
                {
                    continue;
                }

                // Grab face link.
                FaceSharedPtr f = el[i]->GetFaceLink();

                // Update vertices
                for (j = 0; j < 4; ++j)
                {
                    NodeSharedPtr n = f->m_vertexList[j];
                    n->m_z = rEval.Evaluate(rExprId, n->m_x, n->m_y, 0.0, 0.0);

                    if (n->m_z < 1e-32)
                    {
                        n->m_z = 0;
                    }
                }

                // Put curvature into edges
                for (j = 0; j < f->m_edgeList.size(); ++j)
                {
                    NodeSharedPtr n1 = f->m_edgeList[j]->m_n1;
                    NodeSharedPtr n2 = f->m_edgeList[j]->m_n2;
                    Node disp = *n2-*n1;

                    f->m_edgeList[j]->m_edgeNodes.clear();

                    for (k = 1; k < nq-1; ++k)
                    {
                        Node n = *n1 + disp * k / (nq-1.0);
                        n.m_z = rEval.Evaluate(rExprId, n.m_x, n.m_y, 0.0, 0.0);
                        if (n.m_z < 1e-32)
                        {
                            n.m_z = 0;
                        }

                        f->m_edgeList[j]->m_edgeNodes.push_back(
                            NodeSharedPtr(new Node(n)));
                    }
                }
            }
        }
    }
}