Class for the global FE solver. More...

#include <GlobalSolver.h>

Inheritance diagram for GlobalSolver:

Collaboration diagram for GlobalSolver:

Public Member Functions
	GlobalSolver ()
	Default constructor (without parameters): the class attributes are initialized with default values.
	GlobalSolver (GlobalSolver &Instance)
	Copy-initializer constructor. Copies the contents of Instance to the current object,.
GlobalSolver &	operator= (GlobalSolver &Instance)
	Copies the contents of Instance to the current object,.
	~GlobalSolver ()
	Destructor.
void	Run ()
	Runs the given analysis.
Protected Member Functions
void	NewtonRaphsonSolver ()
	Newton-Raphson method used to solve a non-linear model.
void	NewtonRaphsonContactSolver ()
	Newton-Raphson method used to solve a contact model.
void	DynamicLinearSolver ()
	Runs the linear dynamic analysis using explicit CD method or the implicit Newmark method.
void	ProjectionSolver ()
	Solves projection problems for the global sparse mass matrix.
void	StaticLinearSolver ()
	Solves static problems for the global sparse stiffness matrix.
void	CentralDifferenceGlobalMethod ()
	Evaluate displacement, velocity and acceleration in time using the explicit Central Difference Method in its global form.
void	NewmarkGlobalMethod ()
	Evaluate displacement, velocity and acceleration in time using the implicit Newmark Method in its global form.
void	SetIterativeSparseTopology (SymmetricSparse &SPAIt, unsigned long NoBCFlag=0)
	Creates the indices (i,j) for the coefficients of global sparse matrices.
void	SetIterativeSparseTopology (SymmetricSparse &SPAItM, SymmetricSparse &SPAItK)
	Creates the indices (i,j) for the coefficients of global sparse matrices.
void	AssemblingGlbLoadVector (LoadSet &LoadSets, unsigned long LoadSetNumber, double t=0)
	Assembles the global load vector for all loads applied in finite element entities (nodes, edges, faces, element) and geometrical entities (keypoints, lines and surfaces). This method is not applied for pressure following loads.
void	AssemblingGlbNonLinearPressureVector (unsigned long LoadSets, unsigned long LoadSetNumber, unsigned long Delta)
	Assembling the pressure vector for all loads applied on nodes, lines, surfaces and volumes in local coordinate system. This method is applied to non-linear pressure following loads only.
void	AssemblingGlbPressureVector (unsigned long LoadSets, unsigned long LoadSetNumber)
	Assembling the pressure vector for all loads applied on nodes, lines, surfaces and volumes in the element coordinate system. This method is applied to linear pressure loads only.
void	AssemblingGlbContactData (LoadSet &LoadSets, unsigned long LoadSetNumber)
	Assembling the Contact Data.
void	AssemblingGlobalStiffnessMatrix ()
	Method to calculate the element stiffness matrices and assemble them in the sparse global stiffness matrix.
void	AssemblingGlobalNonLinearStiffnessMatrix ()
	Method to calculate the element tangent stiffness matrices and assemble them in the sparse global tangent stiffness matrix for the NR method.
void	AssemblingGlobalContactStiffnessMatrix (LoadSet &LoadSets, unsigned long LoadSetNumber)
	Method to calculate the contact stiffness matrices and assemble them in the sparse global tangent stiffness matrix for the NR method.
void	AssemblingGlobalStiffnessMatrixLoadVector ()
	Method to calculatethe element stiffness matrices and body load vectors and assemble them in the sparse global stiffness matrix and global load vector for pressure following loads.
void	AssemblingGlobalMassMatrix ()
	Method to calculate the element mass matrices and assemble them in the sparse global mass matrix.
void	AssemblingGlobalEffectiveMatrix ()
	Method to calculate the element effective matrices and assemble them in the sparse global effective matrix.
void	ApplyNHDirichletBCLinear (double DeltaInc, unsigned short Iter=0)
	Apply the non-homogeneous Dirichlet boundary condition to linear problems.
void	ApplyNHDirichletBCNonLinear ()
	Apply the non-homogeneous Dirichlet boundary condition for nonlinear problems.
void	LinearSystemSolution (SymmetricSparse &A, double *F, unsigned long LSNum)
	Solves the linear system according to the chose algorithm.
void	LinearSystemSolution (SymmetricSparse &A, double b, unsigned long LSNum, double x)
	Solves the linear system according to the chose algorithm.
void	LinearSystemSolution (SymmetricSparse &A, double *b, unsigned long LSNum, Vector &x, unsigned long &NIT, double &NormResidual)
	Solves the linear system according to the chose algorithm.
Protected Attributes
SymmetricSparse	StiffMatrix
	Global sparse stiffness matrix.
SymmetricSparse	MassMatrix
	Global sparse mass matrix.
SymmetricSparse	EffMatrix
	Effective matrix used for dynamic problems.

Detailed Description

Class for the global FE solver.

Author:: Marco Lucio Bittencourt/ Fabiano Fernandes Bargos

Date:: April/18/2011

Constructor & Destructor Documentation

GlobalSolver::GlobalSolver ( GlobalSolver & Instance )

Copy-initializer constructor. Copies the contents of Instance to the current object,.

Parameters:

[in] Instance - instance of the solver class.

Returns:: Reference to the current object.

Member Function Documentation

void GlobalSolver::ApplyNHDirichletBCLinear	(	double	DeltaInc,
		unsigned short	Iter = `0`
	)		`[protected]`

Apply the non-homogeneous Dirichlet boundary condition to linear problems.

Parameters:

[in]	DeltaInc	- the intensity of the BC increment.
[in]	Iter	- Iteration flag for nonlinear problems. If 0 (default), prescribes the intensity of the BC increment value. If 1, prescribes the value 0.

void GlobalSolver::AssemblingGlbContactData	(	LoadSet &	LoadSets,
		unsigned long	LoadSetNumber
	)		`[protected]`

Assembling the Contact Data.

Parameters:

[in]	LoadSets-	Instance of LoadSets.
[in]	LoatSetNumber	- the actual Load Set.

void GlobalSolver::AssemblingGlbLoadVector	(	LoadSet &	LoadSets,
		unsigned long	LoadSetNumber,
		double	t = `0`
	)		`[protected]`

Assembles the global load vector for all loads applied in finite element entities (nodes, edges, faces, element) and geometrical entities (keypoints, lines and surfaces). This method is not applied for pressure following loads.

Parameters:

[in]	LoadSets-	Instance of LoadSets.
[in]	LoatSetNumber	- the actual Load Set.
[in]	t	- time step.

void GlobalSolver::AssemblingGlbNonLinearPressureVector	(	unsigned long	LoadSets,
		unsigned long	LoadSetNumber,
		unsigned long	Delta
	)		`[protected]`

Assembling the pressure vector for all loads applied on nodes, lines, surfaces and volumes in local coordinate system. This method is applied to non-linear pressure following loads only.

Parameters:

[in]	LoadSets-	Instance ofr LoadSets.
[in]	LoatSetNumber	- the actual Load Set.

void GlobalSolver::AssemblingGlbPressureVector	(	unsigned long	LoadSets,
		unsigned long	LoadSetNumber
	)		`[protected]`

Assembling the pressure vector for all loads applied on nodes, lines, surfaces and volumes in the element coordinate system. This method is applied to linear pressure loads only.

Parameters:

[in]	LoadSets-	Instance of LoadSets.
[in]	LoatSetNumber	- the actual Load Set.

void GlobalSolver::AssemblingGlobalContactStiffnessMatrix	(	LoadSet &	LoadSets,
		unsigned long	LoadSetNumber
	)		`[protected]`

Method to calculate the contact stiffness matrices and assemble them in the sparse global tangent stiffness matrix for the NR method.

Parameters:

[in]	LoadSets-	Instance of LoadSets.
[in]	LoatSetNumber	- the actual Load Set.

void GlobalSolver::AssemblingGlobalMassMatrix ( ) [protected]

Method to calculate the element mass matrices and assemble them in the sparse global mass matrix.

end for over the number os equations

void GlobalSolver::CentralDifferenceGlobalMethod ( ) [protected]

Evaluate displacement, velocity and acceleration in time using the explicit Central Difference Method in its global form.

Parameters:

[in] LoatSetNumber - the actual Load Set.

void GlobalSolver::DynamicLinearSolver ( ) [protected]

Runs the linear dynamic analysis using explicit CD method or the implicit Newmark method.

Displacements

Velocities

void GlobalSolver::LinearSystemSolution	(	SymmetricSparse &	A,
		double *	F,
		unsigned long	LSNum
	)		`[protected]`

Solves the linear system according to the chose algorithm.

Parameters:

[in]	A	- matrix.
[in]	F	- vector.

void GlobalSolver::LinearSystemSolution	(	SymmetricSparse &	A,
		double *	b,
		unsigned long	LSNum,
		double *	x
	)		`[protected]`

Solves the linear system according to the chose algorithm.

Parameters:

[in]	A	- matrix.
[in]	b	- vector.
[out]	x	- Solution vector

void GlobalSolver::LinearSystemSolution	(	SymmetricSparse &	A,
		double *	b,
		unsigned long	LSNum,
		Vector &	x,
		unsigned long &	NIT,
		double &	NormResidual
	)		`[protected]`

Solves the linear system according to the chose algorithm.

Parameters:

[in]	A	- matrix.
[in]	b	- vector.
[out]	x	- Solution vector
[out]	NIT	- Number of iterations
[out]	NormResidual	- Norm of the residual

void GlobalSolver::NewmarkGlobalMethod ( ) [protected]

Evaluate displacement, velocity and acceleration in time using the implicit Newmark Method in its global form.

Parameters:

[in] LoatSetNumber - the actual Load Set.

void GlobalSolver::NewtonRaphsonContactSolver ( ) [protected]

Newton-Raphson method used to solve a contact model.

Kt * IncU = Fe - Fint U = U + incU. where Kt is the tangent matrix, incU is the increment of primary variables, Fe is the external load vector and Fint is the internal forces for the internal stresses.

void GlobalSolver::NewtonRaphsonSolver ( ) [protected]

Newton-Raphson method used to solve a non-linear model.

Kt * IncU = Fe - Fint U = U + incU. where Kt is the tangent matrix, incU is the increment of primary variables, Fe is the external load vector and Fint is the internal forces for the internal stresses.

GlobalSolver & GlobalSolver::operator= ( GlobalSolver & Instance )

Copies the contents of Instance to the current object,.

Parameters:

[in] Instance - instance of the solver class.

Returns:: Reference to the current object.

void GlobalSolver::SetIterativeSparseTopology	(	SymmetricSparse &	SPAIt,
		unsigned long	NoBCFlag = `0`
	)		`[protected]`

Creates the indices (i,j) for the coefficients of global sparse matrices.

Parameters:

[in]	Global	Matrix.
[in]	NoBCFlag	- flag to store the size of the matrix, if 0 it stores only the free DOFs, if 1 it stores all DOFs.

Use the information stored in table EquationEquation to define the (i,j) indices for the non-zero coefficients of the sparse global matrix.

void GlobalSolver::SetIterativeSparseTopology	(	SymmetricSparse &	SPAItM,
		SymmetricSparse &	SPAItK
	)		`[protected]`

Creates the indices (i,j) for the coefficients of global sparse matrices.

Parameters:

[in]	Global	mass matrix.
[in]	Global	stiffness matrix.

Use the information stored in table EquationEquation to define the (i,j) indices for the non-zero coefficients of the sparse global matrix.

The documentation for this class was generated from the following files:

include/solvercontrol/GlobalSolver.h
src/solvercontrol/GlobalSolver.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation