lduMatrix.H

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-------------------------------------------------------------------------------
License
    This file is part of OpenFOAM.
 
    OpenFOAM 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.
 
    OpenFOAM 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 OpenFOAM.  If not, see <http://www.gnu.org/licenses/>.
 
Class
    Foam::lduMatrix
 
Description
    lduMatrix is a general matrix class in which the coefficients are
    stored as three arrays, one for the upper triangle, one for the
    lower triangle and a third for the diagonal.
 
    Addressing arrays must be supplied for the upper and lower triangles.
 
    It might be better if this class were organised as a hierarchy starting
    from an empty matrix, then deriving diagonal, symmetric and asymmetric
    matrices.
 
SourceFiles
    lduMatrixATmul.C
    lduMatrix.C
    lduMatrixTemplates.C
    lduMatrixOperations.C
    lduMatrixSolver.C
    lduMatrixPreconditioner.C
    lduMatrixTests.C
    lduMatrixUpdateMatrixInterfaces.C
 
\*---------------------------------------------------------------------------*/
 
#ifndef lduMatrix_H
#define lduMatrix_H
 
#include "lduMesh.H"
#include "primitiveFieldsFwd.H"
#include "FieldField.H"
#include "lduInterfaceFieldPtrsList.H"
#include "typeInfo.H"
#include "autoPtr.H"
#include "runTimeSelectionTables.H"
#include "solverPerformance.H"
#include "InfoProxy.H"
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
namespace Foam
{
 
// Forward declaration of friend functions and operators
 
class lduMatrix;
 
Ostream& operator<<(Ostream&, const lduMatrix&);
Ostream& operator<<(Ostream&, const InfoProxy<lduMatrix>&);
 
 
/*---------------------------------------------------------------------------*\
                          Class lduMatrix Declaration
\*---------------------------------------------------------------------------*/
 
class lduMatrix
{
    // private data
 
        //- LDU mesh reference
        const lduMesh& lduMesh_;
 
        //- Coefficients (not including interfaces)
        scalarField *lowerPtr_, *diagPtr_, *upperPtr_;
 
 
public:
 
    //- Abstract base-class for lduMatrix solvers
    class solver
    {
    protected:
 
        // Protected data
 
            word fieldName_;
            const lduMatrix& matrix_;
            const FieldField<Field, scalar>& interfaceBouCoeffs_;
            const FieldField<Field, scalar>& interfaceIntCoeffs_;
            lduInterfaceFieldPtrsList interfaces_;
 
            //- Dictionary of controls
            dictionary controlDict_;
 
            //- Default maximum number of iterations in the solver
            static const label defaultMaxIter_;
 
            //- Maximum number of iterations in the solver
            label maxIter_;
 
            //- Minimum number of iterations in the solver
            label minIter_;
 
            //- Final convergence tolerance
            scalar tolerance_;
 
            //- Convergence tolerance relative to the initial
            scalar relTol_;
 
 
        // Protected Member Functions
 
            //- Read the control parameters from the controlDict_
            virtual void readControls();
 
 
    public:
 
        //- Runtime type information
        virtual const word& type() const = 0;
 
 
        // Declare run-time constructor selection tables
 
            declareRunTimeSelectionTable
            (
                autoPtr,
                solver,
                symMatrix,
                (
                    const word& fieldName,
                    const lduMatrix& matrix,
                    const FieldField<Field, scalar>& interfaceBouCoeffs,
                    const FieldField<Field, scalar>& interfaceIntCoeffs,
                    const lduInterfaceFieldPtrsList& interfaces,
                    const dictionary& solverControls
                ),
                (
                    fieldName,
                    matrix,
                    interfaceBouCoeffs,
                    interfaceIntCoeffs,
                    interfaces,
                    solverControls
                )
            );
 
            declareRunTimeSelectionTable
            (
                autoPtr,
                solver,
                asymMatrix,
                (
                    const word& fieldName,
                    const lduMatrix& matrix,
                    const FieldField<Field, scalar>& interfaceBouCoeffs,
                    const FieldField<Field, scalar>& interfaceIntCoeffs,
                    const lduInterfaceFieldPtrsList& interfaces,
                    const dictionary& solverControls
                ),
                (
                    fieldName,
                    matrix,
                    interfaceBouCoeffs,
                    interfaceIntCoeffs,
                    interfaces,
                    solverControls
                )
            );
 
 
        // Constructors
 
            solver
            (
                const word& fieldName,
                const lduMatrix& matrix,
                const FieldField<Field, scalar>& interfaceBouCoeffs,
                const FieldField<Field, scalar>& interfaceIntCoeffs,
                const lduInterfaceFieldPtrsList& interfaces,
                const dictionary& solverControls
            );
 
        // Selectors
 
            //- Return a new solver
            static autoPtr<solver> New
            (
                const word& fieldName,
                const lduMatrix& matrix,
                const FieldField<Field, scalar>& interfaceBouCoeffs,
                const FieldField<Field, scalar>& interfaceIntCoeffs,
                const lduInterfaceFieldPtrsList& interfaces,
                const dictionary& solverControls
            );
 
 
 
        //- Destructor
        virtual ~solver()
        {}
 
 
        // Member Functions
 
            // Access
 
                const word& fieldName() const
                {
                    return fieldName_;
                }
 
                const lduMatrix& matrix() const
                {
                    return matrix_;
                }
 
                 const FieldField<Field, scalar>& interfaceBouCoeffs() const
                 {
                     return interfaceBouCoeffs_;
                 }
 
                 const FieldField<Field, scalar>& interfaceIntCoeffs() const
                 {
                     return interfaceIntCoeffs_;
                 }
 
                 const lduInterfaceFieldPtrsList& interfaces() const
                 {
                     return interfaces_;
                 }
 
 
            //- Read and reset the solver parameters from the given stream
            virtual void read(const dictionary&);
 
            virtual solverPerformance solve
            (
                scalarField& psi,
                const scalarField& source,
                const direction cmpt=0
            ) const = 0;
 
            //- Return the matrix norm used to normalise the residual for the
            //  stopping criterion
            scalar normFactor
            (
                const scalarField& psi,
                const scalarField& source,
                const scalarField& Apsi,
                scalarField& tmpField
            ) const;
    };
 
 
    //- Abstract base-class for lduMatrix smoothers
    class smoother
    {
    protected:
 
        // Protected data
 
            word fieldName_;
            const lduMatrix& matrix_;
            const FieldField<Field, scalar>& interfaceBouCoeffs_;
            const FieldField<Field, scalar>& interfaceIntCoeffs_;
            const lduInterfaceFieldPtrsList& interfaces_;
 
 
    public:
 
        //- Find the smoother name (directly or from a sub-dictionary)
        static word getName(const dictionary&);
 
        //- Runtime type information
        virtual const word& type() const = 0;
 
 
        // Declare run-time constructor selection tables
 
            declareRunTimeSelectionTable
            (
                autoPtr,
                smoother,
                symMatrix,
                (
                    const word& fieldName,
                    const lduMatrix& matrix,
                    const FieldField<Field, scalar>& interfaceBouCoeffs,
                    const FieldField<Field, scalar>& interfaceIntCoeffs,
                    const lduInterfaceFieldPtrsList& interfaces
                ),
                (
                    fieldName,
                    matrix,
                    interfaceBouCoeffs,
                    interfaceIntCoeffs,
                    interfaces
                )
            );
 
            declareRunTimeSelectionTable
            (
                autoPtr,
                smoother,
                asymMatrix,
                (
                    const word& fieldName,
                    const lduMatrix& matrix,
                    const FieldField<Field, scalar>& interfaceBouCoeffs,
                    const FieldField<Field, scalar>& interfaceIntCoeffs,
                    const lduInterfaceFieldPtrsList& interfaces
                ),
                (
                    fieldName,
                    matrix,
                    interfaceBouCoeffs,
                    interfaceIntCoeffs,
                    interfaces
                )
            );
 
 
        // Constructors
 
            smoother
            (
                const word& fieldName,
                const lduMatrix& matrix,
                const FieldField<Field, scalar>& interfaceBouCoeffs,
                const FieldField<Field, scalar>& interfaceIntCoeffs,
                const lduInterfaceFieldPtrsList& interfaces
            );
 
 
        // Selectors
 
            //- Return a new smoother
            static autoPtr<smoother> New
            (
                const word& fieldName,
                const lduMatrix& matrix,
                const FieldField<Field, scalar>& interfaceBouCoeffs,
                const FieldField<Field, scalar>& interfaceIntCoeffs,
                const lduInterfaceFieldPtrsList& interfaces,
                const dictionary& solverControls
            );
 
 
        //- Destructor
        virtual ~smoother()
        {}
 
 
        // Member Functions
 
            // Access
 
                const word& fieldName() const
                {
                    return fieldName_;
                }
 
                const lduMatrix& matrix() const
                {
                    return matrix_;
                }
 
                 const FieldField<Field, scalar>& interfaceBouCoeffs() const
                 {
                     return interfaceBouCoeffs_;
                 }
 
                 const FieldField<Field, scalar>& interfaceIntCoeffs() const
                 {
                     return interfaceIntCoeffs_;
                 }
 
                 const lduInterfaceFieldPtrsList& interfaces() const
                 {
                     return interfaces_;
                 }
 
 
            //- Smooth the solution for a given number of sweeps
            virtual void smooth
            (
                scalarField& psi,
                const scalarField& source,
                const direction cmpt,
                const label nSweeps
            ) const = 0;
    };
 
 
    //- Abstract base-class for lduMatrix preconditioners
    class preconditioner
    {
    protected:
 
        // Protected data
 
            //- Reference to the base-solver this preconditioner is used with
            const solver& solver_;
 
 
    public:
 
        //- Find the preconditioner name (directly or from a sub-dictionary)
        static word getName(const dictionary&);
 
        //- Runtime type information
        virtual const word& type() const = 0;
 
 
        // Declare run-time constructor selection tables
 
            declareRunTimeSelectionTable
            (
                autoPtr,
                preconditioner,
                symMatrix,
                (
                    const solver& sol,
                    const dictionary& solverControls
                ),
                (sol, solverControls)
            );
 
            declareRunTimeSelectionTable
            (
                autoPtr,
                preconditioner,
                asymMatrix,
                (
                    const solver& sol,
                    const dictionary& solverControls
                ),
                (sol, solverControls)
            );
 
 
        // Constructors
 
            preconditioner
            (
                const solver& sol
            )
            :
                solver_(sol)
            {}
 
 
        // Selectors
 
            //- Return a new preconditioner
            static autoPtr<preconditioner> New
            (
                const solver& sol,
                const dictionary& solverControls
            );
 
 
        //- Destructor
        virtual ~preconditioner()
        {}
 
 
        // Member Functions
 
            //- Read and reset the preconditioner parameters
            //  from the given stream
            virtual void read(const dictionary&)
            {}
 
            //- Return wA the preconditioned form of residual rA
            virtual void precondition
            (
                scalarField& wA,
                const scalarField& rA,
                const direction cmpt=0
            ) const = 0;
 
            //- Return wT the transpose-matrix preconditioned form of
            //  residual rT.
            //  This is only required for preconditioning asymmetric matrices.
            virtual void preconditionT
            (
                scalarField& wT,
                const scalarField& rT,
                const direction cmpt=0
            ) const
            {
                NotImplemented;
            }
    };
 
 
    // Static data
 
        // Declare name of the class and its debug switch
        ClassName("lduMatrix");
 
 
    // Constructors
 
        //- Construct given an LDU addressed mesh.
        //  The coefficients are initially empty for subsequent setting.
        lduMatrix(const lduMesh&);
 
        //- Copy constructor
        lduMatrix(const lduMatrix&);
 
        //- Copy constructor or re-use as specified.
        lduMatrix(lduMatrix&, bool reuse);
 
        //- Construct given an LDU addressed mesh and an Istream
        //  from which the coefficients are read
        lduMatrix(const lduMesh&, Istream&);
 
 
    //- Destructor
    ~lduMatrix();
 
 
    // Member Functions
 
        // Access to addressing
 
            //- Return the LDU mesh from which the addressing is obtained
            const lduMesh& mesh() const
            {
                return lduMesh_;
            }
 
            //- Return the LDU addressing
            const lduAddressing& lduAddr() const
            {
                return lduMesh_.lduAddr();
            }
 
            //- Return the patch evaluation schedule
            const lduSchedule& patchSchedule() const
            {
                return lduAddr().patchSchedule();
            }
 
 
        // Access to coefficients
 
            scalarField& lower();
            scalarField& diag();
            scalarField& upper();
 
            // Size with externally provided sizes (for constructing with 'fake'
            // mesh in GAMG)
 
                scalarField& lower(const label size);
                scalarField& diag(const label nCoeffs);
                scalarField& upper(const label nCoeffs);
 
 
            const scalarField& lower() const;
            const scalarField& diag() const;
            const scalarField& upper() const;
 
            bool hasDiag() const
            {
                return (diagPtr_);
            }
 
            bool hasUpper() const
            {
                return (upperPtr_);
            }
 
            bool hasLower() const
            {
                return (lowerPtr_);
            }
 
            bool diagonal() const
            {
                return
                (
                    diagPtr_
                 && Pstream::parRun()
                    ?
                        !lowerPtr_ && !upperPtr_
                    :
                        !(lowerPtr_ && lowerPtr_->size())
                     && !(upperPtr_ && upperPtr_->size())
                );
            }
 
            bool symmetric() const
            {
                return
                (
                    diagPtr_
                 && Pstream::parRun()
                    ?
                        !lowerPtr_ && upperPtr_
                    :
                        !(lowerPtr_ && lowerPtr_->size())
                     && (upperPtr_ && upperPtr_->size())
                );
            }
 
            bool asymmetric() const
            {
                return
                (
                    diagPtr_
                 && Pstream::parRun()
                    ?
                        lowerPtr_ && upperPtr_
                    :
                        (lowerPtr_ && lowerPtr_->size())
                     && (upperPtr_ && upperPtr_->size())
                );
            }
 
 
        // operations
 
            void sumDiag();
            void negSumDiag();
 
            void sumMagOffDiag(scalarField& sumOff) const;
 
            //- Matrix multiplication with updated interfaces.
            void Amul
            (
                scalarField&,
                const tmp<scalarField>&,
                const FieldField<Field, scalar>&,
                const lduInterfaceFieldPtrsList&,
                const direction cmpt
            ) const;
 
            //- Matrix transpose multiplication with updated interfaces.
            void Tmul
            (
                scalarField&,
                const tmp<scalarField>&,
                const FieldField<Field, scalar>&,
                const lduInterfaceFieldPtrsList&,
                const direction cmpt
            ) const;
 
 
            //- Sum the coefficients on each row of the matrix
            void sumA
            (
                scalarField&,
                const FieldField<Field, scalar>&,
                const lduInterfaceFieldPtrsList&
            ) const;
 
 
            void residual
            (
                scalarField& rA,
                const scalarField& psi,
                const scalarField& source,
                const FieldField<Field, scalar>& interfaceBouCoeffs,
                const lduInterfaceFieldPtrsList& interfaces,
                const direction cmpt
            ) const;
 
            tmp<scalarField> residual
            (
                const scalarField& psi,
                const scalarField& source,
                const FieldField<Field, scalar>& interfaceBouCoeffs,
                const lduInterfaceFieldPtrsList& interfaces,
                const direction cmpt
            ) const;
 
 
            //- Initialise the update of interfaced interfaces
            //  for matrix operations
            void initMatrixInterfaces
            (
                const FieldField<Field, scalar>& interfaceCoeffs,
                const lduInterfaceFieldPtrsList& interfaces,
                const scalarField& psiif,
                scalarField& result,
                const direction cmpt
            ) const;
 
            //- Update interfaced interfaces for matrix operations
            void updateMatrixInterfaces
            (
                const FieldField<Field, scalar>& interfaceCoeffs,
                const lduInterfaceFieldPtrsList& interfaces,
                const scalarField& psiif,
                scalarField& result,
                const direction cmpt
            ) const;
 
 
            template<class Type>
            tmp<Field<Type>> H(const Field<Type>&) const;
 
            template<class Type>
            tmp<Field<Type>> H(const tmp<Field<Type>>&) const;
 
            tmp<scalarField> H1() const;
 
            template<class Type>
            tmp<Field<Type>> faceH(const Field<Type>&) const;
 
            template<class Type>
            tmp<Field<Type>> faceH(const tmp<Field<Type>>&) const;
 
 
        // Info
 
            //- Return info proxy.
            //  Used to print matrix information to a stream
            InfoProxy<lduMatrix> info() const
            {
                return *this;
            }
 
 
    // Member Operators
 
        void operator=(const lduMatrix&);
 
        void negate();
 
        void operator+=(const lduMatrix&);
        void operator-=(const lduMatrix&);
 
        void operator*=(const scalarField&);
        void operator*=(scalar);
 
        void operator/=(const scalarField&);
        void operator/=(scalar);
 
 
    // Ostream operator
 
        friend Ostream& operator<<(Ostream&, const lduMatrix&);
        friend Ostream& operator<<(Ostream&, const InfoProxy<lduMatrix>&);
};
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
} // End namespace Foam
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
#ifdef NoRepository
    #include "lduMatrixTemplates.C"
#endif
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
#endif
 
// ************************************************************************* //