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#include <config.h>
#include <dune/common/parametertree.hh>
#include <dune/common/parametertreeparser.hh>
#include <dune/grid/uggrid.hh>
#include <dune/grid/io/file/gmshreader.hh>
#include <dune/grid/utility/structuredgridfactory.hh>
#include <dune/functions/functionspacebases/pqknodalbasis.hh>
#include <dune/fufem/discretizationerror.hh>
#include <dune/fufem/dunepython.hh>
#include <dune/gfe/rotation.hh>
#include <dune/gfe/unitvector.hh>
#include <dune/gfe/realtuple.hh>
#include <dune/gfe/embeddedglobalgfefunction.hh>
#include <dune/gfe/cosseratvtkwriter.hh>
// grid dimension
const int dim = 2;
const int dimworld = 2;
using namespace Dune;
template <class GridView, int order, class TargetSpace>
void measureDiscreteEOC(const GridView gridView,
const GridView referenceGridView,
const ParameterTree& parameterSet)
{
typedef std::vector<TargetSpace> SolutionType;
//////////////////////////////////////////////////////////////////////////////////
// Construct the scalar function space bases corresponding to the GFE space
//////////////////////////////////////////////////////////////////////////////////
typedef Dune::Functions::PQkNodalBasis<GridView, order> FEBasis;
FEBasis feBasis(gridView);
FEBasis referenceFEBasis(referenceGridView);
//////////////////////////////////////////////////////////////////////////////////
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committed
// Read the data whose error is to be measured
//////////////////////////////////////////////////////////////////////////////////
// Input data
typedef BlockVector<typename TargetSpace::CoordinateType> EmbeddedVectorType;
EmbeddedVectorType embeddedX(feBasis.size());
std::ifstream inFile(parameterSet.get<std::string>("simulationData"), std::ios_base::binary);
if (not inFile)
DUNE_THROW(IOError, "File " << parameterSet.get<std::string>("simulationData") << " could not be opened.");
GenericVector::readBinary(inFile, embeddedX);
inFile.peek(); // try to advance beyond the end of the file
if (not inFile.eof())
DUNE_THROW(IOError, "File '" << parameterSet.get<std::string>("simulationData") << "' does not have the correct size!");
inFile.close();
SolutionType x(embeddedX.size());
for (size_t i=0; i<x.size(); i++)
x[i] = TargetSpace(embeddedX[i]);
// The numerical solution, as a grid function
GFE::EmbeddedGlobalGFEFunction<FEBasis, TargetSpace> numericalSolution(feBasis, x);
///////////////////////////////////////////////////////////////////////////
// Read the reference configuration
///////////////////////////////////////////////////////////////////////////
EmbeddedVectorType embeddedReferenceX(referenceFEBasis.size());
inFile.open(parameterSet.get<std::string>("referenceData"), std::ios_base::binary);
if (not inFile)
DUNE_THROW(IOError, "File " << parameterSet.get<std::string>("referenceData") << " could not be opened.");
GenericVector::readBinary(inFile, embeddedReferenceX);
inFile.peek(); // try to advance beyond the end of the file
if (not inFile.eof())
DUNE_THROW(IOError, "File '" << parameterSet.get<std::string>("referenceData") << "' does not have the correct size!");
SolutionType referenceX(embeddedReferenceX.size());
for (size_t i=0; i<referenceX.size(); i++)
referenceX[i] = TargetSpace(embeddedReferenceX[i]);
// The reference solution, as a grid function
GFE::EmbeddedGlobalGFEFunction<FEBasis, TargetSpace> referenceSolution(referenceFEBasis, referenceX);
/////////////////////////////////////////////////////////////////
// Measure the discretization error
/////////////////////////////////////////////////////////////////
Sander, Oliver
committed
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HierarchicSearch<typename GridView::Grid,typename GridView::IndexSet> hierarchicSearch(gridView.grid(), gridView.indexSet());
if (std::is_same<TargetSpace,RigidBodyMotion<double,3> >::value)
{
double deformationL2ErrorSquared = 0;
double orientationL2ErrorSquared = 0;
double deformationH1ErrorSquared = 0;
double orientationH1ErrorSquared = 0;
for (const auto& rElement : elements(referenceGridView))
{
const auto& quadRule = QuadratureRules<double, dim>::rule(rElement.type(), 6);
for (const auto& qp : quadRule)
{
auto integrationElement = rElement.geometry().integrationElement(qp.position());
auto globalPos = rElement.geometry().global(qp.position());
auto element = hierarchicSearch.findEntity(globalPos);
auto localPos = element.geometry().local(globalPos);
auto diff = referenceSolution(rElement, qp.position()) - numericalSolution(element, localPos);
assert(diff.size()==7);
for (int i=0; i<3; i++)
deformationL2ErrorSquared += integrationElement * qp.weight() * diff[i] * diff[i];
for (int i=3; i<7; i++)
orientationL2ErrorSquared += integrationElement * qp.weight() * diff[i] * diff[i];
auto derDiff = referenceSolution.derivative(rElement, qp.position()) - numericalSolution.derivative(element, localPos);
for (int i=0; i<3; i++)
deformationH1ErrorSquared += integrationElement * qp.weight() * derDiff[i].two_norm2();
for (int i=3; i<7; i++)
orientationH1ErrorSquared += integrationElement * qp.weight() * derDiff[i].two_norm2();
}
}
std::cout << "levels: " << gridView.grid().maxLevel()+1
<< " "
<< "L^2 error deformation: " << std::sqrt(deformationL2ErrorSquared)
<< " "
<< "L^2 error orientation: " << std::sqrt(orientationL2ErrorSquared)
<< " "
<< "H^1 error deformation: " << std::sqrt(deformationH1ErrorSquared)
<< " "
<< "H^1 error orientation: " << std::sqrt(orientationH1ErrorSquared)
<< std::endl;
}
else
{
double l2ErrorSquared = 0;
double h1ErrorSquared = 0;
for (const auto& rElement : elements(referenceGridView))
const auto& quadRule = QuadratureRules<double, dim>::rule(rElement.type(), 6);
for (const auto& qp : quadRule)
{
auto integrationElement = rElement.geometry().integrationElement(qp.position());
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committed
auto globalPos = rElement.geometry().global(qp.position());
auto element = hierarchicSearch.findEntity(globalPos);
auto localPos = element.geometry().local(globalPos);
auto diff = referenceSolution(rElement, qp.position()) - numericalSolution(element, localPos);
l2ErrorSquared += integrationElement * qp.weight() * diff.two_norm2();
auto derDiff = referenceSolution.derivative(rElement, qp.position()) - numericalSolution.derivative(element, localPos);
h1ErrorSquared += integrationElement * qp.weight() * derDiff.frobenius_norm2();
std::cout << "levels: " << gridView.grid().maxLevel()+1
<< " "
<< "L^2 error: " << std::sqrt(l2ErrorSquared)
<< " "
<< "H^1 error: " << std::sqrt(l2ErrorSquared + h1ErrorSquared)
<< std::endl;
}
Sander, Oliver
committed
template <class GridView, int order, class TargetSpace>
void measureAnalyticalEOC(const GridView gridView,
const ParameterTree& parameterSet)
{
typedef std::vector<TargetSpace> SolutionType;
Sander, Oliver
committed
//////////////////////////////////////////////////////////////////////////////////
// Construct the scalar function space bases corresponding to the GFE space
//////////////////////////////////////////////////////////////////////////////////
Sander, Oliver
committed
typedef Dune::Functions::PQkNodalBasis<GridView, order> FEBasis;
FEBasis feBasis(gridView);
//////////////////////////////////////////////////////////////////////////////////
// Read the data whose error is to be measured
//////////////////////////////////////////////////////////////////////////////////
typedef BlockVector<typename TargetSpace::CoordinateType> EmbeddedVectorType;
EmbeddedVectorType embeddedX(feBasis.size());
std::ifstream inFile(parameterSet.get<std::string>("simulationData"), std::ios_base::binary);
if (not inFile)
DUNE_THROW(IOError, "File " << parameterSet.get<std::string>("simulationData") << " could not be opened.");
GenericVector::readBinary(inFile, embeddedX);
inFile.peek(); // try to advance beyond the end of the file
if (not inFile.eof())
DUNE_THROW(IOError, "File '" << parameterSet.get<std::string>("simulationData") << "' does not have the correct size!");
SolutionType x(embeddedX.size());
for (size_t i=0; i<x.size(); i++)
x[i] = TargetSpace(embeddedX[i]);
/////////////////////////////////////////////////////////////////
// Measure the discretization error
/////////////////////////////////////////////////////////////////
// Read reference solution and its derivative into a PythonFunction
typedef VirtualDifferentiableFunction<FieldVector<double, dim>, typename TargetSpace::CoordinateType> FBase;
Python::Module module = Python::import(parameterSet.get<std::string>("referenceSolution"));
auto referenceSolution = module.get("fdf").toC<std::shared_ptr<FBase>>();
// The numerical solution, as a grid function
GFE::EmbeddedGlobalGFEFunction<FEBasis, TargetSpace> numericalSolution(feBasis, x);
// QuadratureRule for the integral of the L^2 error
QuadratureRuleKey quadKey(dim,6);
// Compute the embedded L^2 error
double l2Error = DiscretizationError<GridView>::computeL2Error(&numericalSolution,
referenceSolution.get(),
quadKey);
// Compute the embedded H^1 error
double h1Error = DiscretizationError<GridView>::computeH1HalfNormDifferenceSquared(gridView,
&numericalSolution,
referenceSolution.get(),
quadKey);
std::cout << "elements: " << gridView.size(0)
<< " "
<< "L^2 error: " << l2Error
<< " ";
std::cout << "H^1 error: " << std::sqrt(l2Error*l2Error + h1Error) << std::endl;
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template <class GridType, class TargetSpace>
void measureEOC(const std::shared_ptr<GridType> grid,
const std::shared_ptr<GridType> referenceGrid,
const ParameterTree& parameterSet)
{
const int order = parameterSet.get<int>("order");
if (parameterSet.get<std::string>("discretizationErrorMode")=="discrete")
{
switch (order)
{
case 1:
measureDiscreteEOC<typename GridType::LeafGridView,1,TargetSpace>(grid->leafGridView(), referenceGrid->leafGridView(), parameterSet);
break;
case 2:
measureDiscreteEOC<typename GridType::LeafGridView,2,TargetSpace>(grid->leafGridView(), referenceGrid->leafGridView(), parameterSet);
break;
case 3:
measureDiscreteEOC<typename GridType::LeafGridView,3,TargetSpace>(grid->leafGridView(), referenceGrid->leafGridView(), parameterSet);
break;
default:
DUNE_THROW(NotImplemented, "Order '" << order << "' is not implemented");
}
}
if (parameterSet.get<std::string>("discretizationErrorMode")=="analytical")
{
switch (order)
{
case 1:
measureAnalyticalEOC<typename GridType::LeafGridView,1,TargetSpace>(grid->leafGridView(), parameterSet);
break;
case 2:
measureAnalyticalEOC<typename GridType::LeafGridView,2,TargetSpace>(grid->leafGridView(), parameterSet);
break;
case 3:
measureAnalyticalEOC<typename GridType::LeafGridView,3,TargetSpace>(grid->leafGridView(), parameterSet);
break;
default:
DUNE_THROW(NotImplemented, "Order '" << order << "' is not implemented");
}
}
}
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int main (int argc, char *argv[]) try
{
// Start Python interpreter
Python::start();
Python::Reference main = Python::import("__main__");
Python::run("import math");
Python::runStream()
<< std::endl << "import sys"
<< std::endl << "sys.path.append('/home/sander/dune/dune-gfe/problems')"
<< std::endl;
// parse data file
ParameterTree parameterSet;
if (argc < 2)
DUNE_THROW(Exception, "Usage: ./compute-disc-error <parameter file>");
ParameterTreeParser::readINITree(argv[1], parameterSet);
ParameterTreeParser::readOptions(argc, argv, parameterSet);
// Print all parameters, to have them in the log file
parameterSet.report();
/////////////////////////////////////////
// Create the grids
/////////////////////////////////////////
typedef UGGrid<dim> GridType;
const int numLevels = parameterSet.get<int>("numLevels");
shared_ptr<GridType> grid, referenceGrid;
FieldVector<double,dimworld> lower(0), upper(1);
if (parameterSet.get<bool>("structuredGrid"))
{
lower = parameterSet.get<FieldVector<double,dimworld> >("lower");
upper = parameterSet.get<FieldVector<double,dimworld> >("upper");
array<unsigned int,dim> elements = parameterSet.get<array<unsigned int,dim> >("elements");
grid = StructuredGridFactory<GridType>::createCubeGrid(lower, upper, elements);
referenceGrid = StructuredGridFactory<GridType>::createCubeGrid(lower, upper, elements);
}
else
{
std::string path = parameterSet.get<std::string>("path");
std::string gridFile = parameterSet.get<std::string>("gridFile");
grid = shared_ptr<GridType>(GmshReader<GridType>::read(path + "/" + gridFile));
referenceGrid = shared_ptr<GridType>(GmshReader<GridType>::read(path + "/" + gridFile));
}
grid->globalRefine(numLevels-1);
referenceGrid->globalRefine(parameterSet.get<int>("numReferenceLevels")-1);
// Do the actual measurement
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const int targetDim = parameterSet.get<int>("targetDim");
const std::string targetSpace = parameterSet.get<std::string>("targetSpace");
switch (targetDim)
{
case 1:
if (targetSpace=="RealTuple")
{
measureEOC<GridType,RealTuple<double,1> >(grid,
referenceGrid,
parameterSet);
} else if (targetSpace=="UnitVector")
{
measureEOC<GridType,UnitVector<double,1> >(grid,
referenceGrid,
parameterSet);
} else
DUNE_THROW(NotImplemented, "Target space '" << targetSpace << "' is not implemented");
break;
case 2:
if (targetSpace=="RealTuple")
{
measureEOC<GridType,RealTuple<double,2> >(grid,
referenceGrid,
parameterSet);
} else if (targetSpace=="UnitVector")
{
measureEOC<GridType,UnitVector<double,2> >(grid,
referenceGrid,
parameterSet);
#if 0
} else if (targetSpace=="Rotation")
{
measureEOC<GridType,Rotation<double,2> >(grid,
referenceGrid,
parameterSet);
} else if (targetSpace=="RigidBodyMotion")
{
measureEOC<GridType,RigidBodyMotion<double,2> >(grid,
referenceGrid,
parameterSet);
#endif
} else
DUNE_THROW(NotImplemented, "Target space '" << targetSpace << "' is not implemented");
break;
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case 3:
if (targetSpace=="RealTuple")
{
measureEOC<GridType,RealTuple<double,3> >(grid,
referenceGrid,
parameterSet);
} else if (targetSpace=="UnitVector")
{
measureEOC<GridType,UnitVector<double,3> >(grid,
referenceGrid,
parameterSet);
} else if (targetSpace=="Rotation")
{
measureEOC<GridType,Rotation<double,3> >(grid,
referenceGrid,
parameterSet);
} else if (targetSpace=="RigidBodyMotion")
{
measureEOC<GridType,RigidBodyMotion<double,3> >(grid,
referenceGrid,
parameterSet);
} else
DUNE_THROW(NotImplemented, "Target space '" << targetSpace << "' is not implemented");
break;
case 4:
if (targetSpace=="RealTuple")
{
measureEOC<GridType,RealTuple<double,4> >(grid,
referenceGrid,
parameterSet);
} else if (targetSpace=="UnitVector")
{
measureEOC<GridType,UnitVector<double,4> >(grid,
referenceGrid,
parameterSet);
#if 0
} else if (targetSpace=="Rotation")
{
measureEOC<GridType,Rotation<double,4> >(grid,
referenceGrid,
parameterSet);
} else if (targetSpace=="RigidBodyMotion")
{
measureEOC<GridType,RigidBodyMotion<double,4> >(grid,
referenceGrid,
parameterSet);
#endif
} else
DUNE_THROW(NotImplemented, "Target space '" << targetSpace << "' is not implemented");
break;
default:
DUNE_THROW(NotImplemented, "Target dimension '" << targetDim << "' is not implemented");
}
return 0;
}
catch (Exception e)
{
std::cout << e << std::endl;
return 1;
}