To solve water flow equations in porous media (1-D) More...

#include <WaterPorous2D.h>

Inheritance diagram for WaterPorous2D:

Public Member Functions
	WaterPorous2D ()
	Default Constructor.

	WaterPorous2D (Mesh &ms)
	Constructor.

	~WaterPorous2D ()
	Destructor.

void	setCoef (real_t cw, real_t phi, real_t rho, real_t Kx, real_t Ky, real_t mu)
	Set constant coefficients.

void	Mass ()
	Add mass term contribution the element matrix.

void	Mobility ()
	Add mobility term contribution the element matrix.

void	BodyRHS (const Vect< real_t > &bf)
	Add source right-hand side term to right-hand side.

void	BoundaryRHS (const Vect< real_t > &sf)
	Add boundary right-hand side term to right-hand side.

Public Member Functions inherited from Equa_Porous< 3, 3, 2, 2 >
	Equa_Porous ()
	Default constructor.

virtual	~Equa_Porous ()
	Destructor.

void	build ()
	Build the linear system of equations.

void	build (TimeStepping &s)
	Build the linear system of equations.

void	build (EigenProblemSolver &e)
	Build the linear system for an eigenvalue problem.

int	run ()
	Run the equation.

void	Mu (const string &exp)
	Set viscosity given by an algebraic expression.

Public Member Functions inherited from Equation< NEN_, NEE_, NSN_, NSE_ >
	Equation ()

	Equation (Mesh &mesh)
	Constructor with mesh instance.

	Equation (Mesh &mesh, Vect< real_t > &u)
	Constructor with mesh instance and solution vector.

	Equation (Mesh &mesh, Vect< real_t > &u, real_t &init_time, real_t &final_time, real_t &time_step)
	Constructor with mesh instance, matrix and right-hand side.

	~Equation ()
	Destructor.

void	updateBC (const Element &el, const Vect< real_t > &bc)
	Update Right-Hand side by taking into account essential boundary conditions.

void	DiagBC (DOFSupport dof_type=NODE_DOF, int dof=0)
	Update element matrix to impose bc by diagonalization technique.

void	LocalNodeVector (Vect< real_t > &b)
	Localize element vector from a Vect instance.

void	ElementNodeVector (const Vect< real_t > &b, LocalVect< real_t, NEE_ > &be)
	Localize element vector from a Vect instance.

void	SideNodeVector (const Vect< real_t > &b, LocalVect< real_t, NSE_ > &bs)
	Localize side vector from a Vect instance.

void	SideSideVector (const Vect< real_t > &b, vector< real_t > &bs)
	Localize side vector from a Vect instance.

void	ElementNodeVectorSingleDOF (const Vect< real_t > &b, LocalVect< real_t, NEN_ > &be)
	Localize Element Vector from a Vect instance.

void	ElementNodeVector (const Vect< real_t > &b, LocalVect< real_t, NEN_ > &be, int dof)
	Localize Element Vector from a Vect instance.

void	ElementSideVector (const Vect< real_t > &b, LocalVect< real_t, NSE_ > &be)
	Localize Element Vector from a Vect instance.

void	ElementVector (const Vect< real_t > &b, DOFSupport dof_type=NODE_DOF, int flag=0)
	Localize element vector.

void	SideVector (const Vect< real_t > &b, vector< real_t > &sb)
	Localize side vector.

void	ElementNodeCoordinates ()
	Localize coordinates of element nodes.

void	SideNodeCoordinates ()
	Localize coordinates of side nodes.

void	ElementAssembly (Matrix< real_t > *A)
	Assemble element matrix into global one.

void	ElementAssembly (BMatrix< real_t > &A)
	Assemble element matrix into global one.

void	ElementAssembly (SkSMatrix< real_t > &A)
	Assemble element matrix into global one.

void	ElementAssembly (SkMatrix< real_t > &A)
	Assemble element matrix into global one.

void	ElementAssembly (SpMatrix< real_t > &A)
	Assemble element matrix into global one.

void	ElementAssembly (TrMatrix< real_t > &A)
	Assemble element matrix into global one.

void	DGElementAssembly (Matrix< real_t > *A)
	Assemble element matrix into global one for the Discontinuous Galerkin approximation.

void	DGElementAssembly (SkSMatrix< real_t > &A)
	Assemble element matrix into global one for the Discontinuous Galerkin approximation.

void	DGElementAssembly (SkMatrix< real_t > &A)
	Assemble element matrix into global one for the Discontinuous Galerkin approximation.

void	DGElementAssembly (SpMatrix< real_t > &A)
	Assemble element matrix into global one for the Discontinuous Galerkin approximation.

void	DGElementAssembly (TrMatrix< real_t > &A)
	Assemble element matrix into global one for the Discontinuous Galerkin approximation.

void	SideAssembly (Matrix< real_t > *A)
	Assemble side (edge or face) matrix into global one.

void	SideAssembly (SkSMatrix< real_t > &A)
	Assemble side (edge or face) matrix into global one.

void	SideAssembly (SkMatrix< real_t > &A)
	Assemble side (edge or face) matrix into global one.

void	SideAssembly (SpMatrix< real_t > &A)
	Assemble side (edge or face) matrix into global one.

void	ElementAssembly (Vect< real_t > &v)
	Assemble element vector into global one.

void	SideAssembly (Vect< real_t > &v)
	Assemble side (edge or face) vector into global one.

void	AxbAssembly (const Element &el, const Vect< real_t > &x, Vect< real_t > &b)
	Assemble product of element matrix by element vector into global vector.

void	AxbAssembly (const Side &sd, const Vect< real_t > &x, Vect< real_t > &b)
	Assemble product of side matrix by side vector into global vector.

size_t	getNbNodes () const
	Return number of element nodes.

size_t	getNbEq () const
	Return number of element equations.

real_t	setMaterialProperty (const string &exp, const string &prop)
	Define a material property by an algebraic expression.

Public Member Functions inherited from Equa
	Equa ()
	Default constructor.

virtual	~Equa ()
	Destructor.

void	setMesh (Mesh &m)
	Define mesh and renumber DOFs after removing imposed ones.

Mesh &	getMesh () const
	Return reference to Mesh instance.

LinearSolver &	getLinearSolver ()
	Return reference to linear solver instance.

Matrix< real_t > *	getMatrix () const
	Return pointer to matrix.

void	setSolver (Iteration ls, Preconditioner pc=IDENT_PREC)
	Choose solver for the linear system.

void	setMatrixType (int t)
	Choose type of matrix.

int	solveLinearSystem (Matrix< real_t > *A, Vect< real_t > &b, Vect< real_t > &x)
	Solve the linear system with given matrix and right-hand side.

int	solveLinearSystem (Vect< real_t > &b, Vect< real_t > &x)
	Solve the linear system with given right-hand side.

void	LinearSystemInfo ()
	Print info on linear system solver.

Additional Inherited Members
Protected Member Functions inherited from Equa_Porous< 3, 3, 2, 2 >
void	setMaterial ()
	Set material properties.

Detailed Description

To solve water flow equations in porous media (1-D)

To solve water flow equations in porous media (2-D)

Class WaterPorous2D solves the fluid flow equations of water or any incompressible or slightly compressible fluid in a porous medium in two-dimensional configurations.

Porous media flows are modelled here by the Darcy law. The water, or any other fluid is considered as slightly compressible, i.e., its compressibility coefficient is constant.

Space discretization uses the P₁ (2-Node line) finite element method. Time integration uses class TimeStepping that provides various well known time integration schemes.

Class WaterPorous2D solves the fluid flow equations of water or any incompressible or slightly compressible fluid in a porous medium in two-dimensional configurations.

Porous media flows are modelled here by the Darcy law. The water, or any other fluid is considered as slightly compressible, i.e., its compressibility coefficient is constant.

Space discretization uses the P₁ (3-Node triangle) finite element method. Time integration uses class TimeStepping that provides various well known time integration schemes.

Constructor & Destructor Documentation

◆ WaterPorous2D() [1/2]

WaterPorous2D ( )

Default Constructor.

Constructs an empty equation.

◆ WaterPorous2D() [2/2]

WaterPorous2D ( Mesh & ms )

Constructor.

This constructor uses mesh and reservoir information

Parameters

[in] ms Mesh instance

Member Function Documentation

◆ BodyRHS()

void BodyRHS ( const Vect< real_t > & bf )

virtual

Add source right-hand side term to right-hand side.

Parameters

[in] bf Vector containing source at nodes.

Reimplemented from Equa_Porous< 3, 3, 2, 2 >.

◆ BoundaryRHS()

void BoundaryRHS ( const Vect< real_t > & sf )

virtual

Add boundary right-hand side term to right-hand side.

Parameters

[in] sf Vector containing source at nodes.

Reimplemented from Equa_Porous< 3, 3, 2, 2 >.

◆ setCoef()

void setCoef	(	real_t	cw,
		real_t	phi,
		real_t	rho,
		real_t	Kx,
		real_t	Ky,
		real_t	mu
	)

Set constant coefficients.

Parameters

[in]	cw	Compressibility coefficient
[in]	phi	Porosity
[in]	rho	Density
[in]	Kx	x-Absolute permeability
[in]	Ky	y-Absolute permeability
[in]	mu	Viscosity

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ WaterPorous2D() [1/2]

◆ WaterPorous2D() [2/2]

Member Function Documentation

◆ BodyRHS()

◆ BoundaryRHS()

◆ setCoef()