Interface definition for performing time steps. More...

#include "b2time_integrator.H"

Inheritance diagram for b2000::solver::TimeIntegrator< T >:

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Collaboration diagram for b2000::solver::TimeIntegrator< T >:

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Public Member Functions
virtual void	SetAttribute (const Case &b2case)=0

virtual void	InitializeTimeIntegrator (const b2linalg::Matrix< T, b2linalg::Mrectangle > &initial_dof, const double dt)=0
	Initialize the time integrator with the model to act on the initial condition, the initial point in time and the case definition for the current computation.

virtual void	InitializeFieldsForThisTimeStep (b2linalg::Matrix< T, b2linalg::Mrectangle > &dof, const b2linalg::Matrix< T, b2linalg::Mrectangle > &dU)=0
	Update velocities and (possibly) also accelerations after each time step. This method will also save the values from the previous time step ("current" t_n+1) as the new values for the following time step ("new" t_n). When this method is called the displacements dof[0] are already up to date, but velocities dof[1] and accelerations dof[2] are not.

virtual void	UpdateFields (b2linalg::Matrix< T, b2linalg::Mrectangle > &dof, const b2linalg::Matrix< T, b2linalg::Mrectangle > &dU)=0
	Update velocities and (possibly) also accelerations after each global iteration.

virtual EffectiveSymmetricSystem	GetEffectiveElementSystem (const b2linalg::Matrix< T, b2linalg::Mpacked > &k, const b2linalg::Matrix< T, b2linalg::Mpacked > &d, const b2linalg::Matrix< T, b2linalg::Mpacked > &m, const b2linalg::Matrix< T, b2linalg::Mrectangle_constref > &dof, const b2linalg::Index &index) const =0
	Calculates the element effective system based on the concrete time integrator.

virtual EffectiveUnsymmetricSystem	GetEffectiveElementSystem (const b2linalg::Matrix< T, b2linalg::Mrectangle > &k, const b2linalg::Matrix< T, b2linalg::Mrectangle > &d, const b2linalg::Matrix< T, b2linalg::Mrectangle > &m, const b2linalg::Matrix< T, b2linalg::Mrectangle_constref > &dof, const b2linalg::Index &index) const =0
	Calculates the element effective system based on the concrete time integrator.

Public Member Functions inherited from b2000::Object
virtual const std::string &	get_object_name () const

virtual	~Object ()

Protected Attributes
b2linalg::Matrix< T, b2linalg::Mrectangle >	V_ {}
	Displacements.

b2linalg::Matrix< T, b2linalg::Mrectangle >	Z_ {}
	Velocities.

b2linalg::Matrix< T, b2linalg::Mrectangle >	dot_Z_ {}
	Accelerations.

int	current_stage_number_ {1}
	For multi-stage methods such as Runge-Kutta methods ...

int	max_stage_number_ {1}
	... (do not confuse this with b2000 stages)

double	dt {1}
	Step size.

Additional Inherited Members
Static Public Attributes inherited from b2000::Object
static ObjectType	type

Detailed Description

template<typename T>
class b2000::solver::TimeIntegrator< T >

Interface definition for performing time steps.

Member Function Documentation

◆ GetEffectiveElementSystem() [1/2]

template<typename T >

virtual EffectiveSymmetricSystem b2000::solver::TimeIntegrator< T >::GetEffectiveElementSystem	(	const b2linalg::Matrix< T, b2linalg::Mpacked > &	k,
		const b2linalg::Matrix< T, b2linalg::Mpacked > &	d,
		const b2linalg::Matrix< T, b2linalg::Mpacked > &	m,
		const b2linalg::Matrix< T, b2linalg::Mrectangle_constref > &	dof,
		const b2linalg::Index &	index
	)		const

pure virtual

Calculates the element effective system based on the concrete time integrator.

Parameters

[in]	k	The symmetric element stiffness matrix.
[in]	d	The symmetric element damping matrix.
[in]	m	The symmetric element mass matrix.
[in]	dof	Current global displacements, velocities and accelerations.
[in]	index	Local to global node mapping.

Returns: The effective element system with the symmetric matrix.

Implemented in b2000::solver::NewmarkIntegrator< T >.

◆ GetEffectiveElementSystem() [2/2]

template<typename T >

virtual EffectiveUnsymmetricSystem b2000::solver::TimeIntegrator< T >::GetEffectiveElementSystem	(	const b2linalg::Matrix< T, b2linalg::Mrectangle > &	k,
		const b2linalg::Matrix< T, b2linalg::Mrectangle > &	d,
		const b2linalg::Matrix< T, b2linalg::Mrectangle > &	m,
		const b2linalg::Matrix< T, b2linalg::Mrectangle_constref > &	dof,
		const b2linalg::Index &	index
	)		const

pure virtual

Calculates the element effective system based on the concrete time integrator.

Parameters

[in]	k	The unsymmetric element stiffness matrix.
[in]	d	The unsymmetric element damping matrix.
[in]	m	The unsymmetric element mass matrix.
[in]	dof	Current global displacements, velocities and accelerations.
[in]	index	Local to global node mapping.

Returns: The effective element system with the unsymmetric matrix.

Implemented in b2000::solver::NewmarkIntegrator< T >.

◆ InitializeFieldsForThisTimeStep()

template<typename T >

virtual void b2000::solver::TimeIntegrator< T >::InitializeFieldsForThisTimeStep	(	b2linalg::Matrix< T, b2linalg::Mrectangle > &	dof,
		const b2linalg::Matrix< T, b2linalg::Mrectangle > &	dU
	)

pure virtual

Update velocities and (possibly) also accelerations after each time step. This method will also save the values from the previous time step ("current" t_n+1) as the new values for the following time step ("new" t_n). When this method is called the displacements dof[0] are already up to date, but velocities dof[1] and accelerations dof[2] are not.

Parameters

[in,out]	dof	Fields containing displacements, velocities and accelerations.
[in]	dU	Working array containing increments of current iteration.

Implemented in b2000::solver::NewmarkIntegrator< T >.

◆ InitializeTimeIntegrator()

template<typename T >

virtual void b2000::solver::TimeIntegrator< T >::InitializeTimeIntegrator	(	const b2linalg::Matrix< T, b2linalg::Mrectangle > &	initial_dof,
		const double	dt
	)

pure virtual

Initialize the time integrator with the model to act on the initial condition, the initial point in time and the case definition for the current computation.

Parameters

[in,out]	initial_dof	The initial values of the DOF's.
[in]	dt	The initial step size for the first time step.

Implemented in b2000::solver::NewmarkIntegrator< T >.

◆ SetAttribute()

template<typename T >

virtual void b2000::solver::TimeIntegrator< T >::SetAttribute ( const Case & b2case )

pure virtual

Set the attributes of the time stepping methods according to the parameters set in the given case definition.

Parameters

[in] b2case The current case.

Implemented in b2000::solver::NewmarkIntegrator< T >.

◆ UpdateFields()

template<typename T >

virtual void b2000::solver::TimeIntegrator< T >::UpdateFields	(	b2linalg::Matrix< T, b2linalg::Mrectangle > &	dof,
		const b2linalg::Matrix< T, b2linalg::Mrectangle > &	dU
	)

pure virtual

Update velocities and (possibly) also accelerations after each global iteration.

Parameters

[in,out]	dof	Fields containing displacements, velocities and accelerations.
[in]	dU	Working array containing increments of current iteration.

Implemented in b2000::solver::NewmarkIntegrator< T >.

Member Data Documentation

◆ dot_Z_

template<typename T >

b2linalg::Matrix<T, b2linalg::Mrectangle> b2000::solver::TimeIntegrator< T >::dot_Z_ {}

protected

Accelerations.

For multi-stage methods dot_Z_ contains the velocities of all stages for each DOF, i.e. dot_Z_.size1() == total_num_dof, dot_Z_.size2() == number of stages.

For multi-step methods dot_Z_ contains the velocities of all required former time steps for each DOF, i.e. dot_Z_.size1() == total_num_dof, dot_Z_.size2() == k, for a k-step method.

◆ V_

template<typename T >

b2linalg::Matrix<T, b2linalg::Mrectangle> b2000::solver::TimeIntegrator< T >::V_ {}

protected

Displacements.

For multi-stage methods V_ contains the displacements only at time t_n for each DOF, i.e. V_.size1() == total_num_dof, V_.size2() == 1. Same holds for other one-step methods (e.g. Newmark).

For multi-step methods V_ contains the displacements of all required former time steps for each DOF, i.e. V_.size1() == total_num_dof, V_.size2() == k, for a k-step method.

◆ Z_

template<typename T >

b2linalg::Matrix<T, b2linalg::Mrectangle> b2000::solver::TimeIntegrator< T >::Z_ {}

protected

Velocities.

For multi-stage methods Z_ contains the velocities of all stages for each DOF, i.e. Z_.size1() == total_num_dof, Z_.size2() == number of stages.

For multi-step methods Z_ contains the velocities of all required former time steps for each DOF, i.e. Z_.size1() == total_num_dof, Z_.size2() == k, for a k-step method.

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

solvers/time_integration/b2time_integrator.H

	b2api B2000++ API Reference Manual, VERSION 4.6

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Member Function Documentation

◆ GetEffectiveElementSystem() [1/2]

◆ GetEffectiveElementSystem() [2/2]

◆ InitializeFieldsForThisTimeStep()

◆ InitializeTimeIntegrator()

◆ SetAttribute()

◆ UpdateFields()

Member Data Documentation

◆ dot_Z_

◆ V_

◆ Z_