#include <Time.hpp>

Inheritance diagram for moordyn::time::ImplicitNewmarkScheme:

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Collaboration diagram for moordyn::time::ImplicitNewmarkScheme:

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Public Member Functions
	ImplicitNewmarkScheme (moordyn::Log *log, WavesRef waves, unsigned int iters=10, real gamma=0.5, real beta=0.25)
	Constructor. More...

	~ImplicitNewmarkScheme ()
	Destructor.

virtual void	Step (real &dt)
	Run a time step. More...

Public Member Functions inherited from moordyn::time::ImplicitSchemeBase< 2, 3 >
	ImplicitSchemeBase (moordyn::Log *log, WavesRef waves, unsigned int iters=10)
	Constructor. More...

virtual	~ImplicitSchemeBase ()
	Destructor.

Public Member Functions inherited from moordyn::time::SchemeBase< NSTATE, NDERIV >
virtual	~SchemeBase ()
	Destructor.

virtual void	AddLine (Line *obj)
	Add a line. More...

virtual unsigned int	RemoveLine (Line *obj)
	Remove a line. More...

virtual void	AddPoint (Point *obj)
	Add a point. More...

virtual unsigned int	RemovePoint (Point *obj)
	Remove a point. More...

virtual void	AddRod (Rod *obj)
	Add a rod. More...

virtual unsigned int	RemoveRod (Rod *obj)
	Remove a rod. More...

virtual void	AddBody (Body *obj)
	Add a body. More...

virtual unsigned int	RemoveBody (Body *obj)
	Remove a body. More...

virtual void	Init ()
	Create an initial state for all the entities. More...

virtual void	SetState (const state::State &state, unsigned int i=0)
	Resume the simulation from the stationary solution. More...

virtual void	SaveState (const std::string filepath, unsigned int i=0)
	Save the system state on a file. More...

virtual void	LoadState (const std::string filepath, unsigned int i=0)
	Load the system state from a file. More...

state::State *	rd (unsigned int i=0)
	Get the state derivative. More...

virtual std::vector< uint64_t >	Serialize (void)
	Produce the packed data to be saved. More...

virtual uint64_t *	Deserialize (const uint64_t *data)
	Unpack the data to restore the Serialized information. More...

state::State *	r (unsigned int i=0)
	Get the state. More...

state::State	GetState (unsigned int i=0)
	Get the state variable. More...

Public Member Functions inherited from moordyn::time::Scheme
virtual	~Scheme ()
	Destructor.

void	SetGround (Body *obj)
	Set the ground body. More...

std::string	GetName () const
	Get the name of the scheme. More...

real	GetTime () const
	Get the simulation time. More...

void	SetTime (const real &time)
	Set the simulation time. More...

real	GetCFL () const
	Get the CFL factor. More...

void	SetCFL (const real &cfl)
	Set the CFL factor. More...

void	Next ()
	Prepare everything for the next outer time step. More...

Public Member Functions inherited from moordyn::io::IO
	IO (moordyn::Log *log)
	Costructor. More...

virtual	~IO ()=default
	Destructor.

void	Save (const std::string filepath)
	Save the entity into a file. More...

void	Load (const std::string filepath)
	Loads the entity from a file. More...

Public Member Functions inherited from moordyn::LogUser
	LogUser (Log *log=NULL)
	Constructor. More...

	~LogUser ()
	Destructor.

void	SetLogger (Log *log)
	Set the log handler. More...

Log *	GetLogger () const
	Get the log handler. More...

Additional Inherited Members
Protected Types inherited from moordyn::time::SchemeBase< NSTATE, NDERIV >
typedef struct moordyn::time::SchemeBase::_mask	mask
	A mask to determine which entities shall be computed. More...

Protected Member Functions inherited from moordyn::time::ImplicitSchemeBase< 2, 3 >
unsigned int	iters () const
	Get the number of subiterations. More...

real	c0 () const
	Get the constant relaxation part coefficient. More...

void	c0 (const real c)
	Set the constant relaxation part coefficient. More...

real	c1 () const
	Get the tanh relaxation part coefficient. More...

void	c1 (const real c)
	Set the tanh relaxation part coefficient. More...

real	Relax (const unsigned int &iter)
	Compute the relaxation factor. More...

Protected Member Functions inherited from moordyn::time::SchemeBase< NSTATE, NDERIV >
	SchemeBase (moordyn::Log *log, moordyn::WavesRef waves)
	Constructor. More...

void	Update (real t_local, unsigned int substep=0)
	Update all the entities to set the state. More...

void	CalcStateDeriv (unsigned int substep=0)
	Compute the time derivatives and store them. More...

Protected Member Functions inherited from moordyn::time::Scheme
	Scheme (moordyn::Log *log)
	Constructor. More...

Protected Member Functions inherited from moordyn::io::IO
ofstream	MakeFile (const std::string filepath) const
	Create an output file and write the MoorDyn magic header. More...

std::tuple< uint64_t, uint64_t * >	LoadFile (const std::string filepath) const
	Open an input file and load the data. More...

uint64_t	Serialize (const uint64_t &i)
	Pack an unsigned integer to make it writable. More...

uint64_t	Serialize (const int64_t &i)
	Pack an integer to make it writable. More...

uint64_t	Serialize (const real &f)
	Pack a float to make it writable. More...

std::vector< uint64_t >	Serialize (const vec &m)
	Pack a 3D vector to make it writable. More...

std::vector< uint64_t >	Serialize (const vec6 &m)
	Pack a 6D vector to make it writable. More...

std::vector< uint64_t >	Serialize (const mat &m)
	Pack a 3x3 matrix to make it writable. More...

std::vector< uint64_t >	Serialize (const mat6 &m)
	Pack a 6x6 matrix to make it writable. More...

std::vector< uint64_t >	Serialize (const quaternion &m)
	Pack a quaternion to make it writable. More...

std::vector< uint64_t >	Serialize (const XYZQuat &m)
	Pack an XYZQuat to make it writable. More...

std::vector< uint64_t >	Serialize (const std::vector< real > &l)
	Pack a list of floating point numbers to make it writable. More...

std::vector< uint64_t >	Serialize (const std::vector< vec > &l)
	Pack a list of 3D vectors to make it writable. More...

std::vector< uint64_t >	Serialize (const std::vector< vec6 > &l)
	Pack a list of 6D vectors to make it writable. More...

std::vector< uint64_t >	Serialize (const std::vector< mat > &l)
	Pack a list of 3x3 matrices to make it writable. More...

std::vector< uint64_t >	Serialize (const std::vector< mat6 > &l)
	Pack a list of 6x6 matrices to make it writable. More...

std::vector< uint64_t >	Serialize (const Eigen::Matrix< real, Eigen::Dynamic, Eigen::Dynamic > &l)
	Pack an arbitrarily large matrix. More...

template<typename T >
std::vector< uint64_t >	Serialize (const std::vector< std::vector< T >> &l)
	Pack a list of lists to make it writable This function might act recursively. More...

uint64_t *	Deserialize (const uint64_t *in, uint64_t &out)
	Unpack a loaded unsigned integer. More...

uint64_t *	Deserialize (const uint64_t *in, int64_t &out)
	Unpack a loaded integer. More...

uint64_t *	Deserialize (const uint64_t *in, real &out)
	Unpack a loaded floating point number. More...

uint64_t *	Deserialize (const uint64_t *in, vec &out)
	Unpack a loaded 3D vector. More...

uint64_t *	Deserialize (const uint64_t *in, vec6 &out)
	Unpack a loaded 6D vector. More...

uint64_t *	Deserialize (const uint64_t *in, mat &out)
	Unpack a loaded 3x3 matrix. More...

uint64_t *	Deserialize (const uint64_t *in, mat6 &out)
	Unpack a loaded 6x6 matrix. More...

uint64_t *	Deserialize (const uint64_t *in, quaternion &out)
	Unpack a loaded quaternion. More...

uint64_t *	Deserialize (const uint64_t *in, XYZQuat &out)
	Unpack a loaded XYZQuat. More...

uint64_t *	Deserialize (const uint64_t *in, std::vector< real > &out)
	Unpack a loaded list of floating point numbers. More...

uint64_t *	Deserialize (const uint64_t *in, std::vector< vec > &out)
	Unpack a loaded list of 3D vectors. More...

uint64_t *	Deserialize (const uint64_t *in, std::vector< vec6 > &out)
	Unpack a loaded list of 6D vectors. More...

uint64_t *	Deserialize (const uint64_t *in, std::vector< mat > &out)
	Unpack a loaded list of 3x3 matrices. More...

uint64_t *	Deserialize (const uint64_t *in, std::vector< mat6 > &out)
	Unpack a loaded list of 6x6 matrices. More...

uint64_t *	Deserialize (const uint64_t *in, Eigen::Matrix< real, Eigen::Dynamic, Eigen::Dynamic > &out)
	Unpack an arbitrarily large matrix. More...

template<typename T >
uint64_t *	Deserialize (const uint64_t *in, std::vector< std::vector< T >> &out)
	Unpack a loaded list of lists. More...

Protected Attributes inherited from moordyn::time::SchemeBase< NSTATE, NDERIV >
std::array< moordyn::state::State *, NSTATE >	_r
	The list of states.

std::array< moordyn::state::State *, NDERIV >	_rd
	The list of state derivatives.

std::shared_ptr< Waves >	waves
	The waves instance.

mask	_calc_mask
	The SchemeBase::CalcStateDeriv() mask.

Protected Attributes inherited from moordyn::time::Scheme
Body *	ground
	The ground body.

std::vector< Line * >	lines
	The lines.

std::vector< Point * >	points
	The points.

std::vector< Rod * >	rods
	The rods.

std::vector< Body * >	bodies
	The bodies.

std::string	name
	The scheme name.

real	t
	The simulation time.

real	t_local
	The local time, within the outer time step.

real	cfl
	Maximum CFL factor.

Protected Attributes inherited from moordyn::LogUser
Log *	_log
	The log handler.

Detailed Description

Implicit Newmark Scheme.

Implicit Wilson Scheme.

The implicit Newmark scheme is quite popular because is able to produce unconditionally stable time integrators for dynamic response of structures and solids, specifically on its Average Constant Acceleration incarnation

See also: https://en.wikipedia.org/wiki/Newmark-beta_method

The implicit Wilson scheme is so far similar to the Implicit Euler scheme, but the derivatives are computed considering a time step larger than the integration one, instead of lower.

With the computed acceleration a Taylor series expansion is practised to integrate.

See also: https://www.academia.edu/download/59040594/wilson197220190426-49259-kipdfs.pdf

Constructor & Destructor Documentation

◆ ImplicitNewmarkScheme()

moordyn::time::ImplicitNewmarkScheme::ImplicitNewmarkScheme	(	moordyn::Log *	log,
		moordyn::WavesRef	waves,
		unsigned int	iters = `10`,
		real	gamma = `0.5`,
		real	beta = `0.25`
	)

Constructor.

Parameters

log	Logging handler
waves	Waves instance
iters	The number of inner iterations to find the derivative
gamma	The gamma factor
beta	The beta factor

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Member Function Documentation

◆ Step()

void moordyn::time::ImplicitNewmarkScheme::Step ( real & dt )

virtual

Run a time step.

This function is the one that must be specialized on each time scheme

Parameters

dt Time step

Reimplemented from moordyn::time::SchemeBase< NSTATE, NDERIV >.

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

/home/docs/checkouts/readthedocs.org/user_builds/moordyn/checkouts/latest/source/Time.hpp
/home/docs/checkouts/readthedocs.org/user_builds/moordyn/checkouts/latest/source/Time.cpp

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ ImplicitNewmarkScheme()

Member Function Documentation

◆ Step()