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Tempus
Version of the Day
Time Integration
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HHT-Alpha time stepper. More...
#include <Tempus_StepperHHTAlpha_decl.hpp>
Public Member Functions | |
| StepperHHTAlpha (const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &appModel, Teuchos::RCP< Teuchos::ParameterList > pList=Teuchos::null) | |
| Constructor. More... | |
Basic stepper methods | |
| virtual void | setModel (const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &appModel) |
| virtual void | setObserver (Teuchos::RCP< StepperObserver< Scalar > > obs=Teuchos::null) |
| Set Observer. More... | |
| virtual void | initialize () |
| Initialize during construction and after changing input parameters. More... | |
| virtual void | takeStep (const Teuchos::RCP< SolutionHistory< Scalar > > &solutionHistory) |
| Take the specified timestep, dt, and return true if successful. More... | |
| virtual void | setInitialGuess (Teuchos::RCP< const Thyra::VectorBase< Scalar > > initial_guess) |
| Pass initial guess to Newton solver (only relevant for implicit solvers) More... | |
| virtual Teuchos::RCP< Tempus::StepperState< Scalar > > | getDefaultStepperState () |
| Get a default (initial) StepperState. More... | |
| virtual Scalar | getOrder () const |
| virtual Scalar | getOrderMin () const |
| virtual Scalar | getOrderMax () const |
| virtual bool | isExplicit () const |
| virtual bool | isImplicit () const |
| virtual bool | isExplicitImplicit () const |
| virtual bool | isOneStepMethod () const |
| virtual bool | isMultiStepMethod () const |
ParameterList methods | |
| void | setParameterList (const Teuchos::RCP< Teuchos::ParameterList > &pl) |
| Teuchos::RCP< Teuchos::ParameterList > | getNonconstParameterList () |
| Teuchos::RCP< Teuchos::ParameterList > | unsetParameterList () |
| Teuchos::RCP< const Teuchos::ParameterList > | getValidParameters () const |
| Teuchos::RCP< Teuchos::ParameterList > | getDefaultParameters () const |
Public Member Functions inherited from Tempus::StepperImplicit< Scalar > | |
| virtual void | setNonConstModel (const Teuchos::RCP< Thyra::ModelEvaluator< Scalar > > &appModel) |
| virtual Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > | getModel () |
| virtual void | setSolver (std::string solverName) |
| Set solver via ParameterList solver name. More... | |
| virtual void | setSolver (Teuchos::RCP< Teuchos::ParameterList > solverPL=Teuchos::null) |
| Set solver via solver ParameterList. More... | |
| virtual void | setSolver (Teuchos::RCP< Thyra::NonlinearSolverBase< Scalar > > solver) |
| Set solver. More... | |
| virtual Teuchos::RCP< Thyra::NonlinearSolverBase< Scalar > > | getSolver () const |
| Get solver. More... | |
| virtual std::string | getStepperType () const |
| const Thyra::SolveStatus< Scalar > | solveImplicitODE (const Teuchos::RCP< Thyra::VectorBase< Scalar > > &x) |
| Solve problem using x in-place. More... | |
| virtual void | setZeroInitialGuess (bool zIG) |
| Set parameter so that the initial guess is set to zero (=True) or use last timestep (=False). More... | |
| virtual bool | getZeroInitialGuess () const |
| virtual bool | getEmbedded () const |
| virtual Scalar | getInitTimeStep (const Teuchos::RCP< SolutionHistory< Scalar > > &solutionHistory) const |
Public Member Functions inherited from Tempus::Stepper< Scalar > | |
| virtual void | createSubSteppers (std::vector< Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > > models) |
| void | validExplicitODE (const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &model) const |
| Validate that the model supports explicit ODE evaluation, f(x,t) [=xdot]. More... | |
| void | validSecondOrderExplicitODE (const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &model) const |
| Validate that the model supports explicit second order ODE evaluation, f(x,xdot,t) [=xdotdot]. More... | |
| void | validImplicitODE_DAE (const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &model) const |
| Validate ME supports implicit ODE/DAE evaluation, f(xdot,x,t) [= 0]. More... | |
| void | validSecondOrderODE_DAE (const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &model) const |
| Validate ME supports 2nd order implicit ODE/DAE evaluation, f(xdotdot,xdot,x,t) [= 0]. More... | |
| Teuchos::RCP< Teuchos::ParameterList > | defaultSolverParameters () const |
Overridden from Teuchos::Describable | |
| Scalar | beta_ |
| Scalar | gamma_ |
| Scalar | alpha_f_ |
| Scalar | alpha_m_ |
| Teuchos::RCP< Teuchos::FancyOStream > | out_ |
| Teuchos::RCP< const Thyra::VectorBase< Scalar > > | initial_guess_ |
| virtual std::string | description () const |
| virtual void | describe (Teuchos::FancyOStream &out, const Teuchos::EVerbosityLevel verbLevel) const |
| void | predictVelocity (Thyra::VectorBase< Scalar > &vPred, const Thyra::VectorBase< Scalar > &v, const Thyra::VectorBase< Scalar > &a, const Scalar dt) const |
| void | predictDisplacement (Thyra::VectorBase< Scalar > &dPred, const Thyra::VectorBase< Scalar > &d, const Thyra::VectorBase< Scalar > &v, const Thyra::VectorBase< Scalar > &a, const Scalar dt) const |
| void | predictVelocity_alpha_f (Thyra::VectorBase< Scalar > &vPred, const Thyra::VectorBase< Scalar > &v) const |
| void | predictDisplacement_alpha_f (Thyra::VectorBase< Scalar > &dPred, const Thyra::VectorBase< Scalar > &d) const |
| void | correctAcceleration (Thyra::VectorBase< Scalar > &a_n_plus1, const Thyra::VectorBase< Scalar > &a_n) const |
| void | correctVelocity (Thyra::VectorBase< Scalar > &v, const Thyra::VectorBase< Scalar > &vPred, const Thyra::VectorBase< Scalar > &a, const Scalar dt) const |
| void | correctDisplacement (Thyra::VectorBase< Scalar > &d, const Thyra::VectorBase< Scalar > &dPred, const Thyra::VectorBase< Scalar > &a, const Scalar dt) const |
| StepperHHTAlpha () | |
| Default Constructor – not allowed. More... | |
Additional Inherited Members | |
Protected Attributes inherited from Tempus::StepperImplicit< Scalar > | |
| Teuchos::RCP< Teuchos::ParameterList > | stepperPL_ |
| Teuchos::RCP< WrapperModelEvaluator< Scalar > > | wrapperModel_ |
| Teuchos::RCP< Thyra::NonlinearSolverBase< Scalar > > | solver_ |
| Teuchos::RCP< const Thyra::VectorBase< Scalar > > | initial_guess_ |
HHT-Alpha time stepper.
Here, we implement the HHT-Alpha scheme in predictor/corrector form; see equations (10) and (13)-(19) in: G.M. Hulbert, J. Chung, "Explicit time integration algorithms for structural dynamics with optimal numerical dissipation", Comput. Methods Appl. Mech. Engrg. 137 175-188 (1996).
There are four parameters in the scheme:
,
,
and
, all of which must be in the range
. When
, the scheme reduces to the Newmark Beta scheme (see Tempus::StepperNewmark for details). Like the Newmark Beta scheme, the HHT-Alpha scheme can be either first or second order accurate, and either explicit or implicit.
Although the general form of the scheme has been implemented in Tempus, it has only been verified for the case when
(corresponding to the Newmark Beta) scheme, so other values for these parameters are not allowed at the present time. Also, note that, like the Newmark Beta stepper, the linear solve for the explicit version of this scheme has not been optimized (the mass matrix is not lumped).
Definition at line 41 of file Tempus_StepperHHTAlpha_decl.hpp.
| Tempus::StepperHHTAlpha< Scalar >::StepperHHTAlpha | ( | const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > & | appModel, |
| Teuchos::RCP< Teuchos::ParameterList > | pList = Teuchos::null |
||
| ) |
Constructor.
Definition at line 130 of file Tempus_StepperHHTAlpha_impl.hpp.
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Default Constructor – not allowed.
| void Tempus::StepperHHTAlpha< Scalar >::correctAcceleration | ( | Thyra::VectorBase< Scalar > & | a_n_plus1, |
| const Thyra::VectorBase< Scalar > & | a_n | ||
| ) | const |
Definition at line 87 of file Tempus_StepperHHTAlpha_impl.hpp.
| void Tempus::StepperHHTAlpha< Scalar >::correctDisplacement | ( | Thyra::VectorBase< Scalar > & | d, |
| const Thyra::VectorBase< Scalar > & | dPred, | ||
| const Thyra::VectorBase< Scalar > & | a, | ||
| const Scalar | dt | ||
| ) | const |
Definition at line 116 of file Tempus_StepperHHTAlpha_impl.hpp.
| void Tempus::StepperHHTAlpha< Scalar >::correctVelocity | ( | Thyra::VectorBase< Scalar > & | v, |
| const Thyra::VectorBase< Scalar > & | vPred, | ||
| const Thyra::VectorBase< Scalar > & | a, | ||
| const Scalar | dt | ||
| ) | const |
Definition at line 102 of file Tempus_StepperHHTAlpha_impl.hpp.
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Definition at line 332 of file Tempus_StepperHHTAlpha_impl.hpp.
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Definition at line 321 of file Tempus_StepperHHTAlpha_impl.hpp.
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Implements Tempus::Stepper< Scalar >.
Definition at line 472 of file Tempus_StepperHHTAlpha_impl.hpp.
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Get a default (initial) StepperState.
Provide a StepperState to the SolutionState. This Stepper does not have any special state data, so just provide the base class StepperState with the Stepper description. This can be checked to ensure that the input StepperState can be used by this Stepper.
Implements Tempus::Stepper< Scalar >.
Definition at line 309 of file Tempus_StepperHHTAlpha_impl.hpp.
| Teuchos::RCP< Teuchos::ParameterList > Tempus::StepperHHTAlpha< Scalar >::getNonconstParameterList | ( | ) |
Definition at line 495 of file Tempus_StepperHHTAlpha_impl.hpp.
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Implements Tempus::Stepper< Scalar >.
Definition at line 71 of file Tempus_StepperHHTAlpha_decl.hpp.
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Implements Tempus::Stepper< Scalar >.
Definition at line 76 of file Tempus_StepperHHTAlpha_decl.hpp.
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Implements Tempus::Stepper< Scalar >.
Definition at line 75 of file Tempus_StepperHHTAlpha_decl.hpp.
| Teuchos::RCP< const Teuchos::ParameterList > Tempus::StepperHHTAlpha< Scalar >::getValidParameters | ( | ) | const |
Definition at line 456 of file Tempus_StepperHHTAlpha_impl.hpp.
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Initialize during construction and after changing input parameters.
Implements Tempus::Stepper< Scalar >.
Definition at line 164 of file Tempus_StepperHHTAlpha_impl.hpp.
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Implements Tempus::Stepper< Scalar >.
Definition at line 78 of file Tempus_StepperHHTAlpha_decl.hpp.
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Implements Tempus::Stepper< Scalar >.
Definition at line 80 of file Tempus_StepperHHTAlpha_decl.hpp.
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Implements Tempus::Stepper< Scalar >.
Definition at line 79 of file Tempus_StepperHHTAlpha_decl.hpp.
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Implements Tempus::Stepper< Scalar >.
Definition at line 83 of file Tempus_StepperHHTAlpha_decl.hpp.
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Implements Tempus::Stepper< Scalar >.
Definition at line 82 of file Tempus_StepperHHTAlpha_decl.hpp.
| void Tempus::StepperHHTAlpha< Scalar >::predictDisplacement | ( | Thyra::VectorBase< Scalar > & | dPred, |
| const Thyra::VectorBase< Scalar > & | d, | ||
| const Thyra::VectorBase< Scalar > & | v, | ||
| const Thyra::VectorBase< Scalar > & | a, | ||
| const Scalar | dt | ||
| ) | const |
Definition at line 41 of file Tempus_StepperHHTAlpha_impl.hpp.
| void Tempus::StepperHHTAlpha< Scalar >::predictDisplacement_alpha_f | ( | Thyra::VectorBase< Scalar > & | dPred, |
| const Thyra::VectorBase< Scalar > & | d | ||
| ) | const |
Definition at line 75 of file Tempus_StepperHHTAlpha_impl.hpp.
| void Tempus::StepperHHTAlpha< Scalar >::predictVelocity | ( | Thyra::VectorBase< Scalar > & | vPred, |
| const Thyra::VectorBase< Scalar > & | v, | ||
| const Thyra::VectorBase< Scalar > & | a, | ||
| const Scalar | dt | ||
| ) | const |
Definition at line 27 of file Tempus_StepperHHTAlpha_impl.hpp.
| void Tempus::StepperHHTAlpha< Scalar >::predictVelocity_alpha_f | ( | Thyra::VectorBase< Scalar > & | vPred, |
| const Thyra::VectorBase< Scalar > & | v | ||
| ) | const |
Definition at line 62 of file Tempus_StepperHHTAlpha_impl.hpp.
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Pass initial guess to Newton solver (only relevant for implicit solvers)
Reimplemented from Tempus::StepperImplicit< Scalar >.
Definition at line 66 of file Tempus_StepperHHTAlpha_decl.hpp.
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Reimplemented from Tempus::StepperImplicit< Scalar >.
Definition at line 149 of file Tempus_StepperHHTAlpha_impl.hpp.
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Set Observer.
Implements Tempus::Stepper< Scalar >.
Definition at line 55 of file Tempus_StepperHHTAlpha_decl.hpp.
| void Tempus::StepperHHTAlpha< Scalar >::setParameterList | ( | const Teuchos::RCP< Teuchos::ParameterList > & | pl | ) |
Definition at line 345 of file Tempus_StepperHHTAlpha_impl.hpp.
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Take the specified timestep, dt, and return true if successful.
Implements Tempus::Stepper< Scalar >.
Definition at line 180 of file Tempus_StepperHHTAlpha_impl.hpp.
| Teuchos::RCP< Teuchos::ParameterList > Tempus::StepperHHTAlpha< Scalar >::unsetParameterList | ( | ) |
Definition at line 506 of file Tempus_StepperHHTAlpha_impl.hpp.
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Definition at line 141 of file Tempus_StepperHHTAlpha_decl.hpp.
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Definition at line 142 of file Tempus_StepperHHTAlpha_decl.hpp.
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Definition at line 139 of file Tempus_StepperHHTAlpha_decl.hpp.
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Definition at line 140 of file Tempus_StepperHHTAlpha_decl.hpp.
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Definition at line 146 of file Tempus_StepperHHTAlpha_decl.hpp.
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Definition at line 144 of file Tempus_StepperHHTAlpha_decl.hpp.