2021-11-09 00:06:52 +08:00
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//-------------------------------------------------------------------------------------------------------
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// The MIT License (MIT)
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//
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// Copyright (c) 2021 Yoshiya Usui
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//
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// Permission is hereby granted, free of charge, to any person obtaining a copy
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// of this software and associated documentation files (the "Software"), to deal
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// in the Software without restriction, including without limitation the rights
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// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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// copies of the Software, and to permit persons to whom the Software is
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// furnished to do so, subject to the following conditions:
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//
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// The above copyright notice and this permission notice shall be included in all
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// copies or substantial portions of the Software.
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//
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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// SOFTWARE.
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//-------------------------------------------------------------------------------------------------------
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#ifndef DBLDEF_FORWARD_3D_NONCONFORMING_HEXA_ELEMENT_0TH_ORDER
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#define DBLDEF_FORWARD_3D_NONCONFORMING_HEXA_ELEMENT_0TH_ORDER
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#include "Forward2DNonConformingQuadrilateralElement0thOrderEdgeBased.h"
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#include "Forward3D.h"
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#include "MeshDataNonConformingHexaElement.h"
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// Class of 3D forward calculation by using the 0th order nonconforming hexahedral element
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class Forward3DNonConformingHexaElement0thOrder : public Forward3D {
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public:
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// Constructer
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Forward3DNonConformingHexaElement0thOrder();
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// Destructer
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virtual ~Forward3DNonConformingHexaElement0thOrder();
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// Run 3D forward calculation
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virtual void forwardCalculation( const double freq, const int iPol );
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// Calculate X component of electric field
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virtual std::complex<double> calcValueElectricFieldXDirection( const int iElem, const double xLocal, const double yLocal, const double zLocal ) const;
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// Calculate Y component of electric field
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virtual std::complex<double> calcValueElectricFieldYDirection( const int iElem, const double xLocal, const double yLocal, const double zLocal ) const;
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// Calculate Z component of electric field
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virtual std::complex<double> calcValueElectricFieldZDirection( const int iElem, const double xLocal, const double yLocal, const double zLocal ) const;
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// Calculate Z component of rotated electric field
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virtual std::complex<double> calcValueRotatedElectricFieldZDirection( const int iElem, const double xLocal, const double yLocal, const double zLocal ) const;
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2022-02-22 10:37:11 +08:00
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// Calculate X component of electric field only from the edges on the Earth's surface
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std::complex<double> calcValueRotatedElectricFieldNormal( const int iElem, const double xLocal, const double yLocal ) const;
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2021-11-09 00:06:52 +08:00
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// Calculate X component of electric field only from the edges on the Earth's surface
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virtual std::complex<double> calcValueElectricFieldXDirectionFromEdgesOnEarthSurface( const int iElem, const int iFace, const double uCoord, const double vCoord ) const;
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// Calculate Y component of electric field only from the edges on the Earth's surface
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virtual std::complex<double> calcValueElectricFieldYDirectionFromEdgesOnEarthSurface( const int iElem, const int iFace, const double uCoord, const double vCoord ) const;
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// Calculate tangential electric field directed to X from all edges of owner element
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virtual std::complex<double> calcValueElectricFieldTangentialXFromAllEdges( const int iElem, const int iFace, const double xLocal, const double yLocal, const double zLocal ) const;
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// Calculate tangential electric field directed to Y from all edges of owner element
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virtual std::complex<double> calcValueElectricFieldTangentialYFromAllEdges( const int iElem, const int iFace, const double xLocal, const double yLocal, const double zLocal ) const;
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// Calculate tangential electric field directed to X
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virtual std::complex<double> calcValueElectricFieldTangentialX( const int iElem, const int iFace, const double uCoord, const double vCoord ) const;
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// Calculate tangential electric field directed to Y
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virtual std::complex<double> calcValueElectricFieldTangentialY( const int iElem, const int iFace, const double uCoord, const double vCoord ) const;
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// Calculate X component of magnetic field
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virtual std::complex<double> calcValueMagneticFieldXDirection( const int iElem, const double xLocal, const double yLocal, const double zLocal ) const;
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// Calculate Y component of magnetic field
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virtual std::complex<double> calcValueMagneticFieldYDirection( const int iElem, const double xLocal, const double yLocal, const double zLocal ) const;
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// Calculate Z component of magnetic field
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virtual std::complex<double> calcValueMagneticFieldZDirection( const int iElem, const double xLocal, const double yLocal, const double zLocal ) const;
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// Calculate interpolator vector of X component of electric field
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virtual void calcInterpolatorVectorOfElectricFieldXDirection( const int iElem, const double xLocal, const double yLocal, const double zLocal, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
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// Calculate interpolator vector of Y component of electric field
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virtual void calcInterpolatorVectorOfElectricFieldYDirection( const int iElem, const double xLocal, const double yLocal, const double zLocal, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
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// Calculate interpolator vector of Z component of electric field
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virtual void calcInterpolatorVectorOfElectricFieldZDirection( const int iElem, const double xLocal, const double yLocal, const double zLocal, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
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// Calculate interpolator vector of Z component of rotated electric field
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virtual void calcInterpolatorVectorOfRotatedElectricFieldZDirection( const int iElem, const double xLocal, const double yLocal, const double zLocal, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
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2022-02-22 10:37:11 +08:00
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// Calculate interpolator vector of X component of electric field only from the edges on the Earth's surface
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void calcInterpolatorVectorOfRotatedElectricFieldNormal( const int iElem, const double xLocal, const double yLocal, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
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2021-11-09 00:06:52 +08:00
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// Calculate interpolator vector of X component of electric field only from the edges on the Earth's surface
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virtual void calcInterpolatorVectorOfElectricFieldXDirectionFromEdgesOnEarthSurface( const int iElem, const int iFace, const double uCoord, const double vCoord, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
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// Calculate interpolator vector of Y component of electric field only from the edges on the Earth's surface
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virtual void calcInterpolatorVectorOfElectricFieldYDirectionFromEdgesOnEarthSurface( const int iElem, const int iFace, const double uCoord, const double vCoord, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
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// Calculate interpolator vector of tangential electric field directed to X from all edges
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virtual void calcInterpolatorVectorOfElectricFieldTangentialXFromAllEdges( const int iElem, const int iFace, const double xLocal, const double yLocal, const double zLocal, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
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// Calculate interpolator vector of tangential electric field directed to Y from all edges
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virtual void calcInterpolatorVectorOfElectricFieldTangentialYFromAllEdges( const int iElem, const int iFace, const double xLocal, const double yLocal, const double zLocal, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
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// Calculate interpolator vector of tangential electric field directed to X
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virtual void calcInterpolatorVectorOfElectricFieldTangentialX( const int iElem, const int iFace, const double uCoord, const double vCoord, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
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// Calculate interpolator vector of tangential electric field directed to Y
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virtual void calcInterpolatorVectorOfElectricFieldTangentialY( const int iElem, const int iFace, const double uCoord, const double vCoord, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
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// Calculate interpolator vector of X component of magnetic field
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virtual void calcInterpolatorVectorOfMagneticFieldXDirection( const int iElem, const double xLocal, const double yLocal, const double zLocal, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
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// Calculate interpolator vector of Y component of magnetic field
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virtual void calcInterpolatorVectorOfMagneticFieldYDirection( const int iElem, const double xLocal, const double yLocal, const double zLocal, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
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// Calculate interpolator vector of Z component of magnetic field
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virtual void calcInterpolatorVectorOfMagneticFieldZDirection( const int iElem, const double xLocal, const double yLocal, const double zLocal, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
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// Calculate interpolator vector of difference of voltage
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virtual void calcInterpolatorVectorOfVoltageDifference( const int nElem, const int* elememtsIncludingDipole, const CommonParameters::locationXY* localCoordinateValuesStartPoint, const CommonParameters::locationXY* localCoordinateValuesEndPoint, const int irhs );
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// Calculate interpolator vector of difference of voltage
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virtual void calcInterpolatorVectorOfVoltageDifference( const int nElem, const int* elememtsIncludingDipole, const int* const facesIncludingDipole,
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const CommonParameters::AreaCoords* const areaCoordValStartPoint, const CommonParameters::AreaCoords* const areaCoordValEndPoint, const int irhs );
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// Set non-zero strucuture of matrix for forward calculation
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virtual void setNonZeroStrucuture( ComplexSparseSquareSymmetricMatrix& matrix );
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// Set non-zero values of matrix and right-hande side vector for forward calculation
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virtual void setNonZeroValues( ComplexSparseSquareSymmetricMatrix& matrix );
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// Calculate vector x of the reciprocity algorithm of Rodi (1976)
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virtual void calVectorXOfReciprocityAlgorithm( const std::complex<double>* const vecIn, const int blkID, std::complex<double>* const vecOut, std::vector<int>& nonZeroRows );
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// Copy solution vector degenerated
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virtual void copySolutionVectorDegenerated( const int iPol, std::complex<double>* solutionVector ) const;
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// Call function inputMeshData of the class MeshData
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virtual void callInputMeshData();
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// Get pointer to the class MeshData
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virtual const MeshData* getPointerToMeshData() const;
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// Get pointer to the class MeshDataNonConformingHexaElement
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const MeshDataNonConformingHexaElement* getPointerToMeshDataNonConformingHexaElement() const;
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// Calculate difference of voltage for brick element
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virtual std::complex<double> calcVoltageDifference( const int nElem, const int* elememtsIncludingDipole,
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const CommonParameters::locationXY* localCoordinateValuesStartPoint, const CommonParameters::locationXY* localCoordinateValuesEndPoint ) const;
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// Calculate difference of voltage for tetra element
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virtual std::complex<double> calcVoltageDifference( const int nElem, const int* const elememtsIncludingDipole, const int* const facesIncludingDipole,
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const CommonParameters::AreaCoords* const areaCoordValStartPoint, const CommonParameters::AreaCoords* const areaCoordValEndPoint ) const;
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// Get total number of equations finally solved
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virtual int getNumOfEquationFinallySolved() const;
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private:
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const static int DIRICHLET_BOUNDARY_NONZERO_VALUE = -1;// This must be the same as the ones of other functions !!
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const static int DIRICHLET_BOUNDARY_ZERO_VALUE = -2;// This must be the same as the ones of other functions !!
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const static int SLAVE_ON_OUTER_EDGES = -3;
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const static int SLAVE_ON_INTERIOR_EDGES = -4;
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const static int m_numGauss = 2;
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const static int m_numIntegralPoints = m_numGauss * m_numGauss * m_numGauss;
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double m_integralPointXi[m_numIntegralPoints];
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double m_integralPointEta[m_numIntegralPoints];
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double m_integralPointZeta[m_numIntegralPoints];
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double m_weights[m_numIntegralPoints];
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// Array of reference coord xi values for each node
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double m_xiAtNode[8];
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// Array of reference coord eta values for each node
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double m_etaAtNode[8];
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// Array of reference coord zeta values for each node
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double m_zetaAtNode[8];
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// Array of reference coord xi values for each edge
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double m_xiAtEdge[12];
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// Array of reference coord eta values for each edge
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double m_etaAtEdge[12];
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// Array of reference coord zeta values for each edge
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double m_zetaAtEdge[12];
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const static double m_eps;
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// Flag specifing wether map converting master dofs after degeneration and MPC factors from slave dof after degeneration has been made
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bool m_hasMadeMapSlaveDofToMasterDofAndFactors;
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// Array converting global node IDs after degeneration to the ones after constraint
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int* m_IDsAfterDegenerated2AfterConstrained;
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// Total number of equations after degeneration and constraint
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int m_numOfEquationDegeneratedAndConstrained;
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// Solution vector after degeneration and constraint
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std::complex<double>* m_solutionVectorDegeneratedAndConstrained;
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// Map converting master dofs after degeneration and MPC factors from slave dof after degeneration
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// Even for master dofs, master dof and factors are inserted (in this case, master dof is equal to index and factor is one)
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std::vector< std::pair<int,double> >* m_slaveDofToMasterDofAndFactors;
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// Vector of MPC constants;
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std::complex<double>* m_vectorMPCConstants;
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// Copy constructer
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Forward3DNonConformingHexaElement0thOrder(const Forward3DNonConformingHexaElement0thOrder& rhs);
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// Copy assignment operator
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Forward3DNonConformingHexaElement0thOrder& operator=(const Forward3DNonConformingHexaElement0thOrder& rhs);
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// Class of 2D forward calculation using quadrilateral elements
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Forward2DNonConformingQuadrilateralElement0thOrderEdgeBased* m_Fwd2DQuadrilateralElement[4];
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MeshDataNonConformingHexaElement m_MeshDataNonConformingHexaElement;
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// Calculate array converting local IDs to global ones
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void calcArrayConvertLocalID2Global();
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// Calculate array converting global IDs to the ones after degeneration
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void calcArrayConvertIDsGlobal2AfterDegenerated();
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// Calculate array converting global edge IDs non-zero electric field values specified to the edges
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void calcArrayConvertIDGlobal2NonZeroValues();
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2022-02-22 10:37:11 +08:00
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// Make map converting master dofs after degeneration and MPC factors from slave dof after degeneration
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double calc2DJacobianMatrixForEarthSurface( const int elemID, const double xi, const double eta,
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Forward3D::Matrix2x2& JacobMat ) const;
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2021-11-09 00:06:52 +08:00
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// Make map converting master dofs after degeneration and MPC factors from slave dof after degeneration
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void makeMapSlaveDofToMasterDofAndFactors();
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// Calculate MPC constants
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void calcMPCConstants();
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2022-02-22 10:37:11 +08:00
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// Add master dof and factor pair to m_slaveDofToMasterDofAndFactors
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bool doesIntegralXCompFirst( const CommonParameters::locationXY& startPoint, const CommonParameters::locationXY& endPoint,
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bool& rotationDirectionPlus, CommonParameters::locationXY& sharedPoint ) const;
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2021-11-09 00:06:52 +08:00
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// Add master dof and factor pair to m_slaveDofToMasterDofAndFactors
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void addMasterDofAndFactorPair( const int slaveDof, const int masterDof, const double factor );
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// Get shape functions of the x direction with respect to the reference element coordinate system
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double getShapeFuncX( const double xi, const double eta, const double zeta, const int num, const Forward3D::Matrix3x3& invJacobMat ) const;
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// Get shape functions of the y direction with respect to the reference element coordinate system
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double getShapeFuncY( const double xi, const double eta, const double zeta, const int num, const Forward3D::Matrix3x3& invJacobMat ) const;
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// Get shape functions of the z direction with respect to the reference element coordinate system
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double getShapeFuncZ( const double xi, const double eta, const double zeta, const int num, const Forward3D::Matrix3x3& invJacobMat ) const;
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// Get x component of shape function rotated for 0th order edge-based elements
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double getShapeFuncRotatedX( const double xi, const double eta, const double zeta, const int num, const Forward3D::Matrix3x3& invJacobMat ) const;
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// Get y component of shape function rotated for 0th order edge-based elements
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double getShapeFuncRotatedY( const double xi, const double eta, const double zeta, const int num, const Forward3D::Matrix3x3& invJacobMat ) const;
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// Get z component of shape function rotated for 0th order edge-based elements
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double getShapeFuncRotatedZ( const double xi, const double eta, const double zeta, const int num, const Forward3D::Matrix3x3& invJacobMat ) const;
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2022-02-22 10:37:11 +08:00
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// Calculate jacobian matrix of the elements
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double get2DShapeFuncRotatedForEarthSurface( const double xi, const double eta, const int num, const Forward3D::Matrix2x2& invJacobMat ) const;
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2021-11-09 00:06:52 +08:00
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// Calculate jacobian matrix of the elements
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double calcJacobianMatrix( const int elemID, const double xi, const double eta, const double zeta, Forward3D::Matrix3x3& JacobMat ) const;
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// Calculate inverse of jacobian matrix multiplied by determinant
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void calcInverseOfJacobianMatrix( const Forward3D::Matrix3x3& jacobMat, const double determinant, Forward3D::Matrix3x3& invJacobMat ) const;
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// Output results of forward calculation to VTK file
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virtual void outputResultToVTK() const;
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// Output results of forward calculation to binary file
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virtual void outputResultToBinary( const int iFreq, const int iPol ) const;
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// Add values to right-hand sides matrix consisting of interpolator vectors by taking into account MPC
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void addValuesToRhsVectorsByConsideringMPC( const int irow, const int irhs, const std::complex<double>& val );
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//// Make pair of master dof and factor for a slave dof
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//void makePairOfMasterDofAndFactorForASlaveDof( const int slaveDofAfterDegenerated, std::vector< std::pair<int,double> >& masterDofAndFactorsAfterDegenerated ) const;
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//void makePairOfMasterDofAndFactorForASlaveDofAux( const int slaveDofBeforeDegenerated, std::vector< std::pair<int,double> >& masterDofAndFactorsBeforeDegenerated ) const;
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//// Get dof before degeneration from the after degeneration
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//int getDofBeforeDegenerationFromDofAfterDegeneration( const int dofAfterDegeneration ) const;
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};
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#endif
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