Tempus  Version of the Day
Time Integration
 All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Friends Macros Groups Pages
Public Member Functions | Protected Member Functions | List of all members
Tempus::StepperERK_3Stage3rdOrderTVD< Scalar > Class Template Reference

RK Explicit 3 Stage 3rd order TVD. More...

#include <Tempus_StepperRKButcherTableau.hpp>

Inheritance diagram for Tempus::StepperERK_3Stage3rdOrderTVD< Scalar >:
Tempus::StepperExplicitRK< Scalar > Tempus::StepperExplicit< Scalar > Tempus::StepperRKBase< Scalar > Tempus::Stepper< Scalar > Tempus::Stepper< Scalar > Teuchos::Describable Teuchos::VerboseObject< Stepper< Scalar > > Teuchos::Describable Teuchos::VerboseObject< Stepper< Scalar > > Teuchos::LabeledObject Teuchos::VerboseObjectBase Teuchos::LabeledObject Teuchos::VerboseObjectBase

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 VerboseObjectsetVerbLevel (const EVerbosityLevel verbLevel) const
 
virtual const VerboseObjectsetOverridingVerbLevel (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 VerboseObjectBasesetOStream (const RCP< FancyOStream > &oStream) const
 
virtual const VerboseObjectBasesetOverridingOStream (const RCP< FancyOStream > &oStream) const
 
virtual VerboseObjectBasesetLinePrefix (const std::string &linePrefix)
 
virtual RCP< FancyOStreamgetOStream () const
 
virtual RCP< FancyOStreamgetOverridingOStream () 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
 

Additional Inherited Members

- Static Public Member Functions inherited from Teuchos::VerboseObject< Stepper< Scalar > >
static void setDefaultVerbLevel (const EVerbosityLevel defaultVerbLevel)
 
static EVerbosityLevel getDefaultVerbLevel ()
 
- Static Public Member Functions inherited from Teuchos::VerboseObjectBase
static void setDefaultOStream (const RCP< FancyOStream > &defaultOStream)
 
static RCP< FancyOStreamgetDefaultOStream ()
 
- Static Public Attributes inherited from Teuchos::Describable
static const EVerbosityLevel verbLevel_default
 
- Protected Attributes inherited from Tempus::StepperExplicitRK< Scalar >
std::vector< Teuchos::RCP
< Thyra::VectorBase< Scalar > > > 
stageXDot_
 
- Protected Attributes inherited from Tempus::StepperExplicit< Scalar >
Teuchos::RCP< const
Thyra::ModelEvaluator< Scalar > > 
appModel_
 Explicit ODE ModelEvaluator. More...
 
Thyra::ModelEvaluatorBase::InArgs
< Scalar > 
inArgs_
 
Thyra::ModelEvaluatorBase::OutArgs
< Scalar > 
outArgs_
 
- Protected Attributes inherited from Tempus::Stepper< Scalar >
bool useFSAL_ = false
 Use First-Same-As-Last (FSAL) principle. More...
 
bool isInitialized_
 True if stepper's member data is initialized. More...
 
- Protected Attributes inherited from Tempus::StepperRKBase< Scalar >
Teuchos::RCP< RKButcherTableau
< Scalar > > 
tableau_
 
bool useEmbedded_
 
Teuchos::RCP
< Thyra::VectorBase< Scalar > > 
ee_
 
Teuchos::RCP
< Thyra::VectorBase< Scalar > > 
abs_u0
 
Teuchos::RCP
< Thyra::VectorBase< Scalar > > 
abs_u
 
Teuchos::RCP
< Thyra::VectorBase< Scalar > > 
sc
 
Teuchos::RCP
< Stepper_ErrorNorm< Scalar > > 
stepperErrorNormCalculator_
 
int stageNumber_
 
Teuchos::RCP
< StepperRKAppAction< Scalar > > 
stepperRKAppAction_
 

Detailed Description

template<class Scalar>
class Tempus::StepperERK_3Stage3rdOrderTVD< Scalar >

RK Explicit 3 Stage 3rd order TVD.

The tableau (order=3) is

\[ \begin{array}{c|c} c & A \\ \hline & b^T \end{array} \;\;\;\;\mbox{ where }\;\;\;\; \begin{array}{c|ccc} 0 & 0 & & \\ 1 & 1 & 0 & \\ 1/2 & 1/4 & 1/4 & 0 \\ \hline & 1/6 & 1/6 & 4/6 \end{array} \]

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.

Constructor & Destructor Documentation

template<class Scalar >
Tempus::StepperERK_3Stage3rdOrderTVD< Scalar >::StepperERK_3Stage3rdOrderTVD ( )
inline

Default constructor.

Requires subsequent setModel() and initialize() calls before calling takestep().

Definition at line 1190 of file Tempus_StepperRKButcherTableau.hpp.

template<class Scalar >
Tempus::StepperERK_3Stage3rdOrderTVD< Scalar >::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 
)
inline

Definition at line 1201 of file Tempus_StepperRKButcherTableau.hpp.

Member Function Documentation

template<class Scalar >
std::string Tempus::StepperERK_3Stage3rdOrderTVD< Scalar >::getDescription ( ) const
inlinevirtual
template<class Scalar >
void Tempus::StepperERK_3Stage3rdOrderTVD< Scalar >::setupTableau ( )
inlineprotectedvirtual

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