Dumux::Experimental::NewmarkBeta< Scalar, Solution > Class Template Reference

Newmark-beta time integration scheme. More...

#include <dumux/experimental/timestepping/newmarkbeta.hh>

Description

template<class Scalar, class Solution>
class Dumux::Experimental::NewmarkBeta< Scalar, Solution >

Template Parameters

Scalar	The scalar type used for the solution
Solution	The solution type used for the variables

Note

Newmark (1959) "A method of computation for structural dynamics" Journal of the Engineering Mechanics Division, https://doi.org/10.1061/JMCEA3.0000098

This is typically used for PDEs of the form M*a + C*v + K*x = f with M the mass matrix, C the damping matrix, K the stiffness matrix, x the displacement, v the velocity and a the acceleration. An example is dynamic mechanics.

Public Member Functions
	NewmarkBeta (const Scalar beta, const Scalar gamma)
	NewmarkBeta ()
void	initialize (const Solution &x)
void	initialize (const Solution &x, const Solution &v, const Solution &a)
	Initialize the time integration scheme with the current solution. More...
void	update (const Scalar dt, const Solution &x)
	Update with new position x. More...
Block	acceleration (const std::size_t index, const Scalar dt, const Block &x) const
	new a in terms of the old x, v, a, the new x and the time step size More...
Block	velocity (const std::size_t index, const Scalar dt, const Block &x, const Block &a) const
	new v in terms of the old v, a, the new x, a and the time step size More...
Block	velocity (const std::size_t index, const Scalar dt, const Block &x) const
	new v in terms of the old v, a, the new x and the time step size More...
Scalar	position (const std::size_t index) const
	current position More...
Scalar	velocity (const std::size_t index) const
	current velocity More...
Scalar	acceleration (const std::size_t index) const
	current acceleration More...

Constructor & Destructor Documentation

NewmarkBeta() [1/2]

template<class Scalar , class Solution >

Dumux::Experimental::NewmarkBeta< Scalar, Solution >::NewmarkBeta ( const Scalar  beta, const Scalar  gamma  )

inline

Construct the Newmark-beta time integration scheme with the given β and γ parameters

NewmarkBeta() [2/2]

template<class Scalar , class Solution >

Dumux::Experimental::NewmarkBeta< Scalar, Solution >::NewmarkBeta ( )

inline

Construct the Newmark-beta time integration scheme where parameters are read from the parameter file

Member Function Documentation

acceleration() [1/2]

template<class Scalar , class Solution >

Scalar Dumux::Experimental::NewmarkBeta< Scalar, Solution >::acceleration ( const std::size_t  index ) const

inline

acceleration() [2/2]

template<class Scalar , class Solution >

Block Dumux::Experimental::NewmarkBeta< Scalar, Solution >::acceleration ( const std::size_t  index, const Scalar  dt, const Block &  x  ) const

inline

initialize() [1/2]

template<class Scalar , class Solution >

void Dumux::Experimental::NewmarkBeta< Scalar, Solution >::initialize ( const Solution &  x )

inline

Initialize the time integration scheme with the current solution while setting the velocity and acceleration to zero

initialize() [2/2]

template<class Scalar , class Solution >

void Dumux::Experimental::NewmarkBeta< Scalar, Solution >::initialize ( const Solution &  x, const Solution &  v, const Solution &  a  )

inline

position()

template<class Scalar , class Solution >

Scalar Dumux::Experimental::NewmarkBeta< Scalar, Solution >::position ( const std::size_t  index ) const

inline

update()

template<class Scalar , class Solution >

void Dumux::Experimental::NewmarkBeta< Scalar, Solution >::update ( const Scalar  dt, const Solution &  x  )

inline

velocity() [1/3]

template<class Scalar , class Solution >

Scalar Dumux::Experimental::NewmarkBeta< Scalar, Solution >::velocity ( const std::size_t  index ) const

inline

velocity() [2/3]

template<class Scalar , class Solution >

Block Dumux::Experimental::NewmarkBeta< Scalar, Solution >::velocity ( const std::size_t  index, const Scalar  dt, const Block &  x  ) const

inline

velocity() [3/3]

template<class Scalar , class Solution >

Block Dumux::Experimental::NewmarkBeta< Scalar, Solution >::velocity ( const std::size_t  index, const Scalar  dt, const Block &  x, const Block &  a  ) const

inline

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

• newmarkbeta.hh