Tempus
Version of the Day
Time Integration
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RK Explicit 3 Stage 3rd order TVD. More...
#include <Tempus_StepperRKButcherTableau.hpp>
Public Member Functions | |
StepperERK_3Stage3rdOrderTVD () | |
Default constructor. More... | |
StepperERK_3Stage3rdOrderTVD (const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &appModel, bool useFSAL, std::string ICConsistency, bool ICConsistencyCheck, bool useEmbedded, const Teuchos::RCP< StepperRKAppAction< Scalar > > &stepperRKAppAction) | |
std::string | getDescription () const |
Public Member Functions inherited from Tempus::StepperExplicitRK< Scalar > | |
virtual Teuchos::RCP< const Teuchos::ParameterList > | getValidParameters () const |
Teuchos::RCP < Teuchos::ParameterList > | getValidParametersBasicERK () const |
virtual bool | isValidSetup (Teuchos::FancyOStream &out) const |
virtual void | initialize () |
Initialize during construction and after changing input parameters. More... | |
virtual void | setModel (const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &appModel) |
Set model. More... | |
virtual void | setInitialConditions (const Teuchos::RCP< SolutionHistory< Scalar > > &solutionHistory) |
Set the initial conditions and make them consistent. More... | |
virtual void | takeStep (const Teuchos::RCP< SolutionHistory< Scalar > > &solutionHistory) |
Take the specified timestep, dt, and return true if successful. More... | |
virtual Teuchos::RCP < Tempus::StepperState< Scalar > > | getDefaultStepperState () |
Get a default (initial) StepperState. More... | |
virtual Scalar | getInitTimeStep (const Teuchos::RCP< SolutionHistory< Scalar > > &solutionHistory) 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 void | describe (Teuchos::FancyOStream &out, const Teuchos::EVerbosityLevel verbLevel) const |
Public Member Functions inherited from Tempus::StepperExplicit< Scalar > | |
void | setStepperExplicitValues (Teuchos::RCP< Teuchos::ParameterList > pl) |
Set StepperExplicit member data from the ParameterList. More... | |
virtual Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > | getModel () const |
Return the application ModelEvaluator. 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 void | setInitialGuess (Teuchos::RCP< const Thyra::VectorBase< Scalar > >) |
Pass initial guess to Newton solver (only relevant for implicit solvers) More... | |
virtual void | evaluateExplicitODE (Teuchos::RCP< Thyra::VectorBase< Scalar > > xDot, Teuchos::RCP< const Thyra::VectorBase< Scalar > > x, const Scalar time, const Teuchos::RCP< ExplicitODEParameters< Scalar > > &p) |
Evaluate xDot = f(x,t). More... | |
virtual void | evaluateExplicitODE (Teuchos::RCP< Thyra::VectorBase< Scalar > > xDotDot, Teuchos::RCP< const Thyra::VectorBase< Scalar > > x, Teuchos::RCP< const Thyra::VectorBase< Scalar > > xDot, const Scalar time, const Teuchos::RCP< ExplicitODEParameters< Scalar > > &p) |
Evaluate xDotDot = f(x, xDot, t). More... | |
Public Member Functions inherited from Tempus::Stepper< Scalar > | |
void | setStepperValues (const Teuchos::RCP< Teuchos::ParameterList > pl) |
Set Stepper member data from ParameterList. More... | |
Teuchos::RCP < Teuchos::ParameterList > | getValidParametersBasic () const |
Add basic parameters to Steppers ParameterList. More... | |
virtual bool | isInitialized () |
True if stepper's member data is initialized. More... | |
virtual void | checkInitialized () |
Check initialization, and error out on failure. More... | |
void | setStepperName (std::string s) |
Set the stepper name. More... | |
std::string | getStepperName () const |
Get the stepper name. More... | |
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. More... | |
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. More... | |
virtual Teuchos::RCP < Thyra::VectorBase< Scalar > > | getStepperXDot () |
Get Stepper xDot. More... | |
virtual Teuchos::RCP < Thyra::VectorBase< Scalar > > | getStepperXDotDot () |
Get Stepper xDotDot. More... | |
virtual Teuchos::RCP < Thyra::VectorBase< Scalar > > | getStepperXDotDot (Teuchos::RCP< SolutionState< Scalar > > state) |
Get xDotDot from SolutionState or Stepper storage. More... | |
virtual std::string | description () const |
Public Member Functions inherited from Teuchos::Describable | |
void | describe (std::ostream &out, const EVerbosityLevel verbLevel=verbLevel_default) const |
virtual | ~Describable () |
LabeledObject () | |
virtual | ~LabeledObject () |
virtual void | setObjectLabel (const std::string &objectLabel) |
virtual std::string | getObjectLabel () const |
DescribableStreamManipulatorState | describe (const Describable &describable, const EVerbosityLevel verbLevel=Describable::verbLevel_default) |
std::ostream & | operator<< (std::ostream &os, const DescribableStreamManipulatorState &d) |
Public Member Functions inherited from Teuchos::VerboseObject< Stepper< Scalar > > | |
VerboseObject (const EVerbosityLevel verbLevel=VERB_DEFAULT, const RCP< FancyOStream > &oStream=Teuchos::null) | |
virtual const VerboseObject & | setVerbLevel (const EVerbosityLevel verbLevel) const |
virtual const VerboseObject & | setOverridingVerbLevel (const EVerbosityLevel verbLevel) const |
virtual EVerbosityLevel | getVerbLevel () const |
TEUCHOSPARAMETERLIST_LIB_DLL_EXPORT RCP< const ParameterList > | getValidVerboseObjectSublist () |
TEUCHOSPARAMETERLIST_LIB_DLL_EXPORT void | setupVerboseObjectSublist (ParameterList *paramList) |
TEUCHOSPARAMETERLIST_LIB_DLL_EXPORT void | readVerboseObjectSublist (ParameterList *paramList, RCP< FancyOStream > *oStream, EVerbosityLevel *verbLevel) |
void | readVerboseObjectSublist (ParameterList *paramList, VerboseObject< ObjectType > *verboseObject) |
Public Member Functions inherited from Teuchos::VerboseObjectBase | |
virtual | ~VerboseObjectBase () |
VerboseObjectBase (const RCP< FancyOStream > &oStream=Teuchos::null) | |
virtual const VerboseObjectBase & | setOStream (const RCP< FancyOStream > &oStream) const |
virtual const VerboseObjectBase & | setOverridingOStream (const RCP< FancyOStream > &oStream) const |
virtual VerboseObjectBase & | setLinePrefix (const std::string &linePrefix) |
virtual RCP< FancyOStream > | getOStream () const |
virtual RCP< FancyOStream > | getOverridingOStream () const |
virtual std::string | getLinePrefix () const |
virtual OSTab | getOSTab (const int tabs=1, const std::string &linePrefix="") const |
Public Member Functions inherited from Tempus::StepperRKBase< Scalar > | |
virtual Teuchos::RCP< const RKButcherTableau< Scalar > > | getTableau () const |
virtual Scalar | getOrder () const |
virtual Scalar | getOrderMin () const |
virtual Scalar | getOrderMax () const |
virtual int | getNumberOfStages () const |
virtual int | getStageNumber () const |
virtual void | setStageNumber (int s) |
virtual void | setUseEmbedded (bool a) |
virtual bool | getUseEmbedded () const |
virtual void | setErrorNorm (const Teuchos::RCP< Stepper_ErrorNorm< Scalar >> &errCalculator=Teuchos::null) |
virtual void | setAppAction (Teuchos::RCP< StepperRKAppAction< Scalar >> appAction) |
virtual Teuchos::RCP < StepperRKAppAction< Scalar > > | getAppAction () const |
virtual void | setStepperRKValues (Teuchos::RCP< Teuchos::ParameterList > pl) |
Set StepperRK member data from the ParameterList. More... | |
virtual Teuchos::RCP < RKButcherTableau< Scalar > > | createTableau (Teuchos::RCP< Teuchos::ParameterList > pl) |
Protected Member Functions | |
void | setupTableau () |
Protected Member Functions inherited from Tempus::StepperExplicitRK< Scalar > | |
virtual void | setupDefault () |
Default setup for constructor. More... | |
virtual void | setup (const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &appModel, bool useFSAL, std::string ICConsistency, bool ICConsistencyCheck, bool useEmbedded, const Teuchos::RCP< StepperRKAppAction< Scalar > > &stepperRKAppAction) |
Setup for constructor. More... | |
virtual void | setEmbeddedMemory () |
Protected Member Functions inherited from Tempus::Stepper< Scalar > | |
virtual void | setStepperX (Teuchos::RCP< Thyra::VectorBase< Scalar > > x) |
Set x for Stepper storage. More... | |
virtual void | setStepperXDot (Teuchos::RCP< Thyra::VectorBase< Scalar > > xDot) |
Set xDot for Stepper storage. More... | |
virtual void | setStepperXDotDot (Teuchos::RCP< Thyra::VectorBase< Scalar > > xDotDot) |
Set x for Stepper storage. More... | |
void | setStepperType (std::string s) |
Set the stepper type. More... | |
Protected Member Functions inherited from Teuchos::VerboseObject< Stepper< Scalar > > | |
void | initializeVerboseObject (const EVerbosityLevel verbLevel=VERB_DEFAULT, const RCP< FancyOStream > &oStream=Teuchos::null) |
Protected Member Functions inherited from Teuchos::VerboseObjectBase | |
void | initializeVerboseObjectBase (const RCP< FancyOStream > &oStream=Teuchos::null) |
virtual void | informUpdatedVerbosityState () const |
RK Explicit 3 Stage 3rd order TVD.
The tableau (order=3) is
Reference: Sigal Gottlieb and Chi-Wang Shu, 'Total Variation Diminishing Runge-Kutta Schemes', Mathematics of Computation, Volume 67, Number 221, January 1998, pp. 73-85.
This is also written in the following set of updates.
u1 = u^n + dt L(u^n) u2 = 3 u^n/4 + u1/4 + dt L(u1)/4 u^(n+1) = u^n/3 + 2 u2/2 + 2 dt L(u2)/3
See StepperExplicitRK for additional details.
Definition at line 1183 of file Tempus_StepperRKButcherTableau.hpp.
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inline |
Default constructor.
Requires subsequent setModel() and initialize() calls before calling takestep().
Definition at line 1190 of file Tempus_StepperRKButcherTableau.hpp.
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inline |
Definition at line 1201 of file Tempus_StepperRKButcherTableau.hpp.
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inlinevirtual |
Implements Tempus::StepperExplicitRK< Scalar >.
Definition at line 1214 of file Tempus_StepperRKButcherTableau.hpp.
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inlineprotectedvirtual |
Implements Tempus::StepperExplicitRK< Scalar >.
Definition at line 1237 of file Tempus_StepperRKButcherTableau.hpp.