Crank-Nicolson 2nd-order time-integrator for 6DoF solid-body motion. More...

Inheritance diagram for CrankNicolson:

Collaboration diagram for CrankNicolson:

Public Member Functions
	TypeName ("CrankNicolson")

	CrankNicolson (const dictionary &dict, sixDoFRigidBodyMotion &body)

virtual autoPtr< sixDoFSolver >	clone () const

virtual	~CrankNicolson ()

virtual void	solve (bool firstIter, const vector &fGlobal, const vector &tauGlobal, scalar deltaT, scalar deltaT0)

Public Member Functions inherited from sixDoFSolver
	TypeName ("sixDoFSolver")

	declareRunTimeSelectionTable (autoPtr, sixDoFSolver, dictionary,(const dictionary &dict, sixDoFRigidBodyMotion &body),(dict, body))

	sixDoFSolver (const dictionary &dict, sixDoFRigidBodyMotion &body)

virtual	~sixDoFSolver ()

void	write (Ostream &) const

Additional Inherited Members
Static Public Member Functions inherited from sixDoFSolver
static autoPtr< sixDoFSolver >	New (const dictionary &dict, sixDoFRigidBodyMotion &body)

Protected Member Functions inherited from sixDoFSolver
point &	centreOfRotation ()

tensor &	Q ()

vector &	v ()

vector &	a ()

vector &	pi ()

vector &	tau ()

const point &	centreOfRotation0 () const

const tensor &	Q0 () const

const vector &	v0 () const

const vector &	a0 () const

const vector &	pi0 () const

const vector &	tau0 () const

scalar	aDamp () const

tensor	tConstraints () const

tensor	rConstraints () const

Tuple2< tensor, vector >	rotate (const tensor &Q0, const vector &pi, const scalar deltaT) const

void	updateAcceleration (const vector &fGlobal, const vector &tauGlobal)

Protected Attributes inherited from sixDoFSolver
sixDoFRigidBodyMotion &	body_

dictionary	dict_

Detailed Description

Crank-Nicolson 2nd-order time-integrator for 6DoF solid-body motion.

The off-centering coefficients for acceleration (velocity integration) and velocity (position/orientation integration) may be specified but default values of 0.5 for each are used if they are not specified. With the default off-centering this scheme is equivalent to the Newmark scheme with default coefficients.

Example specification in dynamicMeshDict:

solver
{
    type    CrankNicolson;
    aoc     0.5;    // Acceleration off-centering coefficient
    voc     0.5;    // Velocity off-centering coefficient
}