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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 () | |
| Default constructor. | |
| StepperHHTAlpha (const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &appModel, const Teuchos::RCP< Thyra::NonlinearSolverBase< Scalar > > &solver, bool useFSAL, std::string ICConsistency, bool ICConsistencyCheck, bool zeroInitialGuess, std::string schemeName, Scalar beta, Scalar gamma, Scalar alpha_f_, Scalar alpha_m_, const Teuchos::RCP< StepperHHTAlphaAppAction< Scalar > > &stepperHHTAlphaAppAction) | |
| Constructor. | |
| Teuchos::RCP< Teuchos::ParameterList > | getValidParametersBasicImplicit () const |
| void | setStepperImplicitValues (Teuchos::RCP< Teuchos::ParameterList > pl) |
| Set StepperImplicit member data from the ParameterList. | |
| void | setStepperSolverValues (Teuchos::RCP< Teuchos::ParameterList > pl) |
| Set solver from ParameterList. | |
| void | setSolverName (std::string i) |
| Set the Solver Name. | |
| std::string | getSolverName () const |
| Get the Solver Name. | |
| virtual Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > | getModel () const override |
| virtual Teuchos::RCP< const WrapperModelEvaluator< Scalar > > | getWrapperModel () |
| virtual void | setDefaultSolver () |
| virtual void | setSolver (Teuchos::RCP< Thyra::NonlinearSolverBase< Scalar > > solver) override |
| Set solver. | |
| virtual Teuchos::RCP< Thyra::NonlinearSolverBase< Scalar > > | getSolver () const override |
| Get solver. | |
| const Thyra::SolveStatus< Scalar > | solveImplicitODE (const Teuchos::RCP< Thyra::VectorBase< Scalar > > &x, const Teuchos::RCP< Thyra::VectorBase< Scalar > > &xDot, const Scalar time, const Teuchos::RCP< ImplicitODEParameters< Scalar > > &p, const Teuchos::RCP< Thyra::VectorBase< Scalar > > &y=Teuchos::null, const int index=-1) |
| Solve implicit ODE, f(x, xDot, t, p) = 0. | |
| void | evaluateImplicitODE (Teuchos::RCP< Thyra::VectorBase< Scalar > > &f, const Teuchos::RCP< Thyra::VectorBase< Scalar > > &x, const Teuchos::RCP< Thyra::VectorBase< Scalar > > &xDot, const Scalar time, const Teuchos::RCP< ImplicitODEParameters< Scalar > > &p) |
| Evaluate implicit ODE residual, f(x, xDot, t, p). | |
| virtual void | setInitialGuess (Teuchos::RCP< const Thyra::VectorBase< Scalar > > initialGuess) override |
| Pass initial guess to Newton solver (only relevant for implicit solvers). | |
| virtual void | setZeroInitialGuess (bool zIG) |
| virtual bool | getZeroInitialGuess () const |
| virtual Scalar | getInitTimeStep (const Teuchos::RCP< SolutionHistory< Scalar > > &) const override |
| virtual std::string | description () const |
| void | setStepperValues (const Teuchos::RCP< Teuchos::ParameterList > pl) |
| Set Stepper member data from ParameterList. | |
| Teuchos::RCP< Teuchos::ParameterList > | getValidParametersBasic () const |
| Add basic parameters to Steppers ParameterList. | |
| virtual void | initialize () |
| Initialize after construction and changing input parameters. | |
| virtual bool | isInitialized () |
| True if stepper's member data is initialized. | |
| virtual void | checkInitialized () |
| Check initialization, and error out on failure. | |
| void | setStepperName (std::string s) |
| Set the stepper name. | |
| std::string | getStepperName () const |
| Get the stepper name. | |
| std::string | getStepperType () const |
| Get the stepper type. The stepper type is used as an identifier for the stepper, and can only be set by the derived Stepper class. | |
| virtual void | setUseFSAL (bool a) |
| void | setUseFSALTrueOnly (bool a) |
| void | setUseFSALFalseOnly (bool a) |
| bool | getUseFSAL () const |
| void | setICConsistency (std::string s) |
| std::string | getICConsistency () const |
| void | setICConsistencyCheck (bool c) |
| bool | getICConsistencyCheck () const |
| virtual Teuchos::RCP< Thyra::VectorBase< Scalar > > | getStepperX () |
| Get Stepper x. | |
| virtual Teuchos::RCP< Thyra::VectorBase< Scalar > > | getStepperXDot () |
| Get Stepper xDot. | |
| virtual Teuchos::RCP< Thyra::VectorBase< Scalar > > | getStepperXDotDot () |
| Get Stepper xDotDot. | |
| virtual Teuchos::RCP< Thyra::VectorBase< Scalar > > | getStepperXDotDot (Teuchos::RCP< SolutionState< Scalar > > state) |
| Get xDotDot from SolutionState or Stepper storage. | |
Overridden from Teuchos::Describable | |
| Teuchos::RCP< StepperHHTAlphaAppAction< Scalar > > | stepperHHTAlphaAppAction_ |
| std::string | schemeName_ |
| Scalar | beta_ |
| Scalar | gamma_ |
| Scalar | alpha_f_ |
| Scalar | alpha_m_ |
| Teuchos::RCP< Teuchos::FancyOStream > | out_ |
| virtual void | describe (Teuchos::FancyOStream &out, const Teuchos::EVerbosityLevel verbLevel) const |
| virtual bool | isValidSetup (Teuchos::FancyOStream &out) 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 |
| void | setSchemeName (std::string schemeName) |
| void | setBeta (Scalar beta) |
| void | setGamma (Scalar gamma) |
| void | setAlphaF (Scalar alpha_f) |
| void | setAlphaM (Scalar alpha_m) |
| virtual std::string | getSchemeName () const |
| virtual Scalar | getBeta () const |
| virtual Scalar | getGamma () const |
| virtual Scalar | getAlphaF () const |
| virtual Scalar | getAlphaM () const |
| void | validateSchemeParameters () const |
| Validate final scheme parameters and emit any consistency warnings. | |
Basic stepper methods | |
| virtual void | setModel (const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &appModel) |
| Set the model. | |
| virtual void | setAppAction (Teuchos::RCP< StepperHHTAlphaAppAction< Scalar > > appAction) |
| virtual Teuchos::RCP< StepperHHTAlphaAppAction< Scalar > > | getAppAction () const |
| virtual void | setInitialConditions (const Teuchos::RCP< SolutionHistory< Scalar > > &) |
| Set the initial conditions and make them consistent. | |
| virtual void | takeStep (const Teuchos::RCP< SolutionHistory< Scalar > > &solutionHistory) |
| Take the specified timestep, dt, and return true if successful. | |
| virtual Teuchos::RCP< Tempus::StepperState< Scalar > > | getDefaultStepperState () |
| Get a default (initial) StepperState. | |
| 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 |
| virtual OrderODE | getOrderODE () const |
| virtual Scalar | getW_xDotDot_coeff (const Scalar dt) const |
| Return W_xDotxDot_coeff = d(xDotDot)/d(x). | |
| virtual Scalar | getAlpha (const Scalar dt) const |
| Return alpha = d(xDot)/d(x). | |
| virtual Scalar | getBeta (const Scalar) const |
| Return beta = d(x)/d(x). | |
| Teuchos::RCP< const Teuchos::ParameterList > | getValidParameters () const |
Additional Inherited Members | |
| virtual void | setStepperX (Teuchos::RCP< Thyra::VectorBase< Scalar > > x) |
| Set x for Stepper storage. | |
| virtual void | setStepperXDot (Teuchos::RCP< Thyra::VectorBase< Scalar > > xDot) |
| Set xDot for Stepper storage. | |
| virtual void | setStepperXDotDot (Teuchos::RCP< Thyra::VectorBase< Scalar > > xDotDot) |
| Set x for Stepper storage. | |
| void | setStepperType (std::string s) |
| Set the stepper type. | |
| Teuchos::RCP< WrapperModelEvaluator< Scalar > > | wrapperModel_ |
| Teuchos::RCP< Thyra::NonlinearSolverBase< Scalar > > | solver_ |
| Teuchos::RCP< const Thyra::VectorBase< Scalar > > | initialGuess_ |
| bool | zeroInitialGuess_ |
| std::string | solverName_ |
| bool | useFSAL_ = false |
| Use First-Same-As-Last (FSAL) principle. | |
| bool | isInitialized_ |
| True if stepper's member data is initialized. | |
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: 



![$[0,1]$](form_108.png)

Although the general form of the scheme has been implemented in Tempus, it has only been verified for the case when 
The First-Same-As-Last (FSAL) principle is not used with the HHT-Alpha method.
Definition at line 46 of file Tempus_StepperHHTAlpha_decl.hpp.
| Tempus::StepperHHTAlpha< Scalar >::StepperHHTAlpha | ( | ) |
Default constructor.
Requires subsequent setModel(), setSolver() and initialize() calls before calling takeStep().
Definition at line 293 of file Tempus_StepperHHTAlpha_impl.hpp.
| Tempus::StepperHHTAlpha< Scalar >::StepperHHTAlpha | ( | const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > & | appModel, |
| const Teuchos::RCP< Thyra::NonlinearSolverBase< Scalar > > & | solver, | ||
| bool | useFSAL, | ||
| std::string | ICConsistency, | ||
| bool | ICConsistencyCheck, | ||
| bool | zeroInitialGuess, | ||
| std::string | schemeName, | ||
| Scalar | beta, | ||
| Scalar | gamma, | ||
| Scalar | alpha_f_, | ||
| Scalar | alpha_m_, | ||
| const Teuchos::RCP< StepperHHTAlphaAppAction< Scalar > > & | stepperHHTAlphaAppAction ) |
Constructor.
Definition at line 314 of file Tempus_StepperHHTAlpha_impl.hpp.
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Set the model.
Reimplemented from Tempus::StepperImplicit< Scalar >.
Definition at line 361 of file Tempus_StepperHHTAlpha_impl.hpp.
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Definition at line 347 of file Tempus_StepperHHTAlpha_impl.hpp.
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Definition at line 73 of file Tempus_StepperHHTAlpha_decl.hpp.
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Set the initial conditions and make them consistent.
Reimplemented from Tempus::StepperImplicit< Scalar >.
Definition at line 79 of file Tempus_StepperHHTAlpha_decl.hpp.
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Take the specified timestep, dt, and return true if successful.
Implements Tempus::Stepper< Scalar >.
Definition at line 382 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 549 of file Tempus_StepperHHTAlpha_impl.hpp.
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Implements Tempus::Stepper< Scalar >.
Definition at line 90 of file Tempus_StepperHHTAlpha_decl.hpp.
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Implements Tempus::Stepper< Scalar >.
Definition at line 97 of file Tempus_StepperHHTAlpha_decl.hpp.
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Implements Tempus::Stepper< Scalar >.
Definition at line 98 of file Tempus_StepperHHTAlpha_decl.hpp.
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Implements Tempus::Stepper< Scalar >.
Definition at line 100 of file Tempus_StepperHHTAlpha_decl.hpp.
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Implements Tempus::Stepper< Scalar >.
Definition at line 101 of file Tempus_StepperHHTAlpha_decl.hpp.
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Implements Tempus::Stepper< Scalar >.
Definition at line 102 of file Tempus_StepperHHTAlpha_decl.hpp.
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Implements Tempus::Stepper< Scalar >.
Definition at line 106 of file Tempus_StepperHHTAlpha_decl.hpp.
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Implements Tempus::Stepper< Scalar >.
Definition at line 107 of file Tempus_StepperHHTAlpha_decl.hpp.
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Implements Tempus::Stepper< Scalar >.
Definition at line 108 of file Tempus_StepperHHTAlpha_decl.hpp.
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Return W_xDotxDot_coeff = d(xDotDot)/d(x).
Definition at line 112 of file Tempus_StepperHHTAlpha_decl.hpp.
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Return alpha = d(xDot)/d(x).
Implements Tempus::StepperImplicit< Scalar >.
Definition at line 117 of file Tempus_StepperHHTAlpha_decl.hpp.
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Return beta = d(x)/d(x).
Implements Tempus::StepperImplicit< Scalar >.
Definition at line 122 of file Tempus_StepperHHTAlpha_decl.hpp.
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Reimplemented from Tempus::StepperImplicit< Scalar >.
Definition at line 613 of file Tempus_StepperHHTAlpha_impl.hpp.
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Reimplemented from Tempus::StepperImplicit< Scalar >.
Definition at line 560 of file Tempus_StepperHHTAlpha_impl.hpp.
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Reimplemented from Tempus::StepperImplicit< Scalar >.
Definition at line 585 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 24 of file Tempus_StepperHHTAlpha_impl.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 36 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 52 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 64 of file Tempus_StepperHHTAlpha_impl.hpp.
| void Tempus::StepperHHTAlpha< Scalar >::correctAcceleration | ( | Thyra::VectorBase< Scalar > & | a_n_plus1, |
| const Thyra::VectorBase< Scalar > & | a_n ) const |
Definition at line 76 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 91 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 103 of file Tempus_StepperHHTAlpha_impl.hpp.
| void Tempus::StepperHHTAlpha< Scalar >::setSchemeName | ( | std::string | schemeName | ) |
Definition at line 195 of file Tempus_StepperHHTAlpha_impl.hpp.
| void Tempus::StepperHHTAlpha< Scalar >::setBeta | ( | Scalar | beta | ) |
Definition at line 115 of file Tempus_StepperHHTAlpha_impl.hpp.
| void Tempus::StepperHHTAlpha< Scalar >::setGamma | ( | Scalar | gamma | ) |
Definition at line 148 of file Tempus_StepperHHTAlpha_impl.hpp.
| void Tempus::StepperHHTAlpha< Scalar >::setAlphaF | ( | Scalar | alpha_f | ) |
Definition at line 169 of file Tempus_StepperHHTAlpha_impl.hpp.
| void Tempus::StepperHHTAlpha< Scalar >::setAlphaM | ( | Scalar | alpha_m | ) |
Definition at line 182 of file Tempus_StepperHHTAlpha_impl.hpp.
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Definition at line 169 of file Tempus_StepperHHTAlpha_decl.hpp.
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Definition at line 170 of file Tempus_StepperHHTAlpha_decl.hpp.
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Definition at line 171 of file Tempus_StepperHHTAlpha_decl.hpp.
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Definition at line 172 of file Tempus_StepperHHTAlpha_decl.hpp.
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Definition at line 173 of file Tempus_StepperHHTAlpha_decl.hpp.
| void Tempus::StepperHHTAlpha< Scalar >::validateSchemeParameters | ( | ) | const |
Validate final scheme parameters and emit any consistency warnings.
Definition at line 230 of file Tempus_StepperHHTAlpha_impl.hpp.
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Definition at line 179 of file Tempus_StepperHHTAlpha_decl.hpp.
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Definition at line 181 of file Tempus_StepperHHTAlpha_decl.hpp.
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Definition at line 182 of file Tempus_StepperHHTAlpha_decl.hpp.
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Definition at line 183 of file Tempus_StepperHHTAlpha_decl.hpp.
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Definition at line 184 of file Tempus_StepperHHTAlpha_decl.hpp.
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Definition at line 185 of file Tempus_StepperHHTAlpha_decl.hpp.
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Definition at line 187 of file Tempus_StepperHHTAlpha_decl.hpp.