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Tempus::StepperDIRK< Scalar > Class Template Referenceabstract

Diagonally Implicit Runge-Kutta (DIRK) time stepper. More...

#include <Tempus_StepperDIRK_decl.hpp>

Inheritance diagram for Tempus::StepperDIRK< Scalar >:
Tempus::StepperImplicit< 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 Tempus::StepperDIRK_1Stage1stOrderRadauIA< Scalar > Tempus::StepperDIRK_1StageTheta< Scalar > Tempus::StepperDIRK_2Stage2ndOrderLobattoIIIB< Scalar > Tempus::StepperDIRK_BackwardEuler< Scalar > Tempus::StepperDIRK_General< Scalar > Tempus::StepperEDIRK_2Stage3rdOrder< Scalar > Tempus::StepperEDIRK_2StageTheta< Scalar > Tempus::StepperEDIRK_TrapezoidalRule< Scalar > Tempus::StepperSDIRK_21Pair< Scalar > Tempus::StepperSDIRK_2Stage2ndOrder< Scalar > Tempus::StepperSDIRK_2Stage3rdOrder< Scalar > Tempus::StepperSDIRK_3Stage2ndOrder< Scalar > Tempus::StepperSDIRK_3Stage4thOrder< Scalar > Tempus::StepperSDIRK_5Stage4thOrder< Scalar > Tempus::StepperSDIRK_5Stage5thOrder< Scalar > Tempus::StepperSDIRK_ImplicitMidpoint< Scalar > Tempus::StepperSDIRK_SSPDIRK22< Scalar > Tempus::StepperSDIRK_SSPDIRK23< Scalar > Tempus::StepperSDIRK_SSPDIRK32< Scalar > Tempus::StepperSDIRK_SSPDIRK33< Scalar >

Public Member Functions

std::vector< Teuchos::RCP
< Thyra::VectorBase< Scalar > > > & 
getStageXDot ()
 
Teuchos::RCP
< Thyra::VectorBase< Scalar > > & 
getXTilde ()
 
virtual Scalar getAlpha (const Scalar dt) const override
 Return alpha = d(xDot)/dx. More...
 
virtual Scalar getBeta (const Scalar) const override
 Return beta = d(x)/dx. More...
 
virtual Scalar getAlpha (const Scalar dt, int i) const
 Return alpha = d(xDot)/dx for stage i. More...
 
virtual Teuchos::RCP< const
Teuchos::ParameterList
getValidParameters () const override
 
Teuchos::RCP
< Teuchos::ParameterList
getValidParametersBasicDIRK () const
 
virtual bool isValidSetup (Teuchos::FancyOStream &out) const override
 
virtual void setStepperDIRKValues (Teuchos::RCP< Teuchos::ParameterList > pl)
 Set StepperDIRK member data from the ParameterList. More...
 
- Public Member Functions inherited from Tempus::StepperImplicit< Scalar >
Teuchos::RCP
< Teuchos::ParameterList
getValidParametersBasicImplicit () const
 
void setStepperImplicitValues (Teuchos::RCP< Teuchos::ParameterList > pl)
 Set StepperImplicit member data from the ParameterList. More...
 
void setStepperSolverValues (Teuchos::RCP< Teuchos::ParameterList > pl)
 Set solver from ParameterList. More...
 
void setSolverName (std::string i)
 Set the Solver Name. More...
 
std::string getSolverName () const
 Get the Solver Name. More...
 
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. More...
 
virtual Teuchos::RCP
< Thyra::NonlinearSolverBase
< Scalar > > 
getSolver () const override
 Get solver. More...
 
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. More...
 
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). More...
 
virtual void setInitialGuess (Teuchos::RCP< const Thyra::VectorBase< Scalar > > initialGuess) override
 Pass initial guess to Newton solver (only relevant for implicit solvers) More...
 
virtual void setZeroInitialGuess (bool zIG)
 
virtual bool getZeroInitialGuess () const
 
virtual Scalar getInitTimeStep (const Teuchos::RCP< SolutionHistory< Scalar > > &) const override
 
- 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

virtual void setupDefault ()
 Default setup for constructor. More...
 
virtual void setup (const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &wrapperModel, const Teuchos::RCP< Thyra::NonlinearSolverBase< Scalar > > &solver, bool useFSAL, std::string ICConsistency, bool ICConsistencyCheck, bool useEmbedded, bool zeroInitialGuess, const Teuchos::RCP< StepperRKAppAction< Scalar > > &stepperRKAppAction)
 Setup for constructor. More...
 
virtual void setupTableau ()=0
 
virtual void setEmbeddedMemory () override
 
- 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
 

Protected Attributes

std::vector< Teuchos::RCP
< Thyra::VectorBase< Scalar > > > 
stageXDot_
 
Teuchos::RCP
< Thyra::VectorBase< Scalar > > 
xTilde_
 
bool resetGuess_ = true
 
- Protected Attributes inherited from Tempus::StepperImplicit< Scalar >
Teuchos::RCP
< WrapperModelEvaluator
< Scalar > > 
wrapperModel_
 
Teuchos::RCP
< Thyra::NonlinearSolverBase
< Scalar > > 
solver_
 
Teuchos::RCP< const
Thyra::VectorBase< Scalar > > 
initialGuess_
 
bool zeroInitialGuess_
 
std::string solverName_
 
- 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_
 

Basic stepper methods

virtual void initialize () override
 Initialize after construction and changing input parameters. More...
 
virtual void setModel (const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &appModel) override
 Set the model. More...
 
virtual void setInitialConditions (const Teuchos::RCP< SolutionHistory< Scalar > > &solutionHistory) override
 Set the initial conditions and make them consistent. More...
 
virtual void setResetInitialGuess (bool reset_guess)
 
virtual bool getResetInitialGuess () const
 
virtual void takeStep (const Teuchos::RCP< SolutionHistory< Scalar > > &solutionHistory) override
 Take the specified timestep, dt, and return true if successful. More...
 
virtual Teuchos::RCP
< Tempus::StepperState< Scalar > > 
getDefaultStepperState () override
 Get a default (initial) StepperState. More...
 
virtual bool isExplicit () const override
 
virtual bool isImplicit () const override
 
virtual bool isExplicitImplicit () const override
 
virtual bool isOneStepMethod () const override
 
virtual bool isMultiStepMethod () const override
 
virtual OrderODE getOrderODE () const override
 
virtual std::string getDescription () const =0
 

Overridden from Teuchos::Describable

virtual void describe (Teuchos::FancyOStream &out, const Teuchos::EVerbosityLevel verbLevel) const override
 

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
 

Detailed Description

template<class Scalar>
class Tempus::StepperDIRK< Scalar >

Diagonally Implicit Runge-Kutta (DIRK) time stepper.

For the implicit ODE system, $\mathcal{F}(\dot{x},x,t) = 0$, the general DIRK method for $s$-stages, can be written as

\[ X_{i} = x_{n-1} + \Delta t\,\sum_{j=1}^{i-1} a_{ij}\,\bar{f}(X_{j},t_{n-1}+c_{j}\Delta t) + \Delta t\, a_{ii}\,\bar{f}(X_{i},t_{n-1}+c_{i}\Delta t) \]

\[ x_{n} = x_{n-1} + \Delta t\,\sum_{i=1}^{s}b_{i}\,\bar{f}(X_{i},t_{n-1}+c_{i}\Delta t) \]

where $\dot{x}=\bar{f}(x,t)$ is the explicit form of the ODE, $X_{i}$ are intermediate approximations to the solution at times, $t_{n-1}+c_{i}\Delta t$, (stage solutions) which may be correct to a lower order of accuracy than the solution, $x_{n}$. We should note that these lower-order approximations are combined through $b_{i}$ so that error terms cancel out and produce a more accurate solution. Note for DIRK methods that $a_{ii}=a$ for all the diagonal components is referred to as Singly Diagonal Implicit Runge-Kutta (SDIRK) methods.

Note that the stage time derivatives,

\[ \dot{X}_{i} = \bar{f}(X_{i},t_{n-1}+c_{i}\Delta t), \]

can be found via

\begin{eqnarray*} \dot{X}_{i} & = & \frac{1}{a_{ii} \Delta t} [ X_{i} - x_{n-1} - \Delta t\,\sum_{j=1}^{i-1} a_{ij}\,\dot{X}_{j} ] \\ \dot{X}_{i} & = & \frac{X_{i} - \tilde{X}}{a_{ii} \Delta t} \end{eqnarray*}

where

\[ \tilde{X} = x_{n-1} + \Delta t \sum_{j=1}^{i-1} a_{ij}\, \dot{X}_{j} \]

Recalling that the definition for a DIRK is that for $j>i$, $a_{ij} = 0$ and $a_{ii} \neq 0$ for at least one $i$. Thus for stages where $a_{ii} = 0$, we can use the explicit RK methods (see StepperExplicitRK for additional details).

Algorithm The single-timestep algorithm for DIRK is

\begin{center} \parbox{6in}{ \rule{6in}{0.4pt} \\ {\bf Algorithm} DIRK \\ \rule{6in}{0.4pt} \vspace{-15pt} \begin{enumerate} \setlength{\itemsep}{0pt} \setlength{\parskip}{0pt} \setlength{\parsep}{0pt} \item {\bf if ("Reset Initial guess.") then} \item \quad $X \leftarrow x_{n-1}$ \hfill {\it * Reset initial guess to last timestep.} \item {\bf endif} \item {\it appAction.execute(solutionHistory, stepper, BEGIN\_STEP)} \item {\bf for {$i = 0 \ldots s-1$}} \item \quad $\tilde{X} \leftarrow x_{n-1} +\Delta t \sum_{j=1}^{i-1} a_{ij}\,\dot{X}_{j}$ \item \quad {\it appAction.execute(solutionHistory, stepper, BEGIN\_STAGE)} \item \quad {\bf if ( $a_{k,i} = 0 \;\forall k = (i+1,\ldots, s-1)$, $b(i) = 0$, $b^\ast(i) = 0$) then} \item \qquad $\dot{X}_i \leftarrow 0$ \hfill {\it * Not needed for later calculations.} \item \quad {\bf else if ($a_{ii} = 0$) then} \hfill {\it * Explicit stage.} \item \qquad {\bf if ($i=0$ and ``Use FSAL'' and (previous step not failed))} \item \qquad \quad $\dot{X}_0 \leftarrow \dot{X}_{s-1}$ \hfill {\it * Use $\dot{X}_{s-1}$ from $n-1$ time step.} \item \qquad {\bf else} \item \qquad \quad $\dot{X}_i \leftarrow \bar{f}(\tilde{X},t_{n-1}+c_i\Delta t)$ \item \qquad {\bf endif} \item \quad {\bf else} \hfill {\it * Implicit stage.} \item \qquad {\it appAction.execute(solutionHistory, stepper, BEFORE\_SOLVE)} \item \qquad {\bf if (``Zero initial guess.'')} \item \qquad \quad $X \leftarrow 0$ \hfill {\it * Else use previous stage value as initial guess.} \item \qquad {\bf endif} \item \qquad {\bf Solve $\mathcal{F}_i( \dot{X}_i = \frac{X - \tilde{X}}{a_{ii} \Delta t}, X, t_{n-1}+c_{i}\Delta t) = 0$ for $X$} \item \qquad {\it appAction.execute(solutionHistory, stepper, AFTER\_SOLVE)} \item \qquad $\dot{X}_i \leftarrow \frac{X - \tilde{X}}{a_{ii} \Delta t}$ \item \quad {\bf endif} \item \quad {\it appAction.execute(solutionHistory, stepper, BEFORE\_EXPLICIT\_EVAL)} \item \quad {\it appAction.execute(solutionHistory, stepper, END\_STAGE)} \item {\bf end for} \item $x_n \leftarrow x_{n-1} + \Delta t\,\sum_{i=0}^{s-1}b_i\,\dot{X}_i$ \item {\bf if (``Embedded'') then} \hfill {\it * Compute the local truncation error estimate.} \item \quad $\mathbf{e} \leftarrow \sum_{i=0}^{s-1} (b_i-b^\ast_i)\Delta t\,\dot{X}_i$ \item \quad $\tilde{\mathbf{e}} \leftarrow \mathbf{e}/(a_{tol} + \max(\|x_n\|, \|x_{n-1}\|)r_{tol})$ \item \quad $e_n \leftarrow \|\tilde{\mathbf{e}}\|_\infty$ \item {\bf endif} \item {\it appAction.execute(solutionHistory, stepper, END\_STEP)} \end{enumerate} \vspace{-10pt} \rule{6in}{0.4pt} } \end{center}

The First-Same-As-Last (FSAL) principle is not needed with DIRK, but maybe useful if the first stage is explicit (EDIRK) (e.g., Trapezoidal Method). The default is to set useFSAL=false.

Iteration Matrix, $W$. Recalling that the definition of the iteration matrix, $W$, is

\[ W = \alpha \frac{\partial \mathcal{F}_n}{\partial \dot{x}_n} + \beta \frac{\partial \mathcal{F}_n}{\partial x_n}, \]

where $ \alpha \equiv \frac{\partial \dot{x}_n(x_n) }{\partial x_n}, $ and $ \beta \equiv \frac{\partial x_n}{\partial x_n} = 1$. For the stage solutions, we have

\[ \mathcal{F}_i = \dot{X}_{i} - \bar{f}(X_{i},t_{n-1}+c_{i}\Delta t) = 0 \]

where $\mathcal{F}_n \rightarrow \mathcal{F}_i$, $x_n \rightarrow X_{i}$, and $\dot{x}_n(x_n) \rightarrow \dot{X}_{i}(X_{i})$. The time derivative for the DIRK stages is

\[ \dot{X}_{i}(X_{i}) = \frac{X_{i} - \tilde{X}}{a_{ii} \Delta t}, \]

and we can determine that $ \alpha = \frac{1}{a_{ii} \Delta t} $ and $ \beta = 1 $, and therefore write

\[ W = \frac{1}{a_{ii} \Delta t} \frac{\partial \mathcal{F}_i}{\partial \dot{X}_i} + \frac{\partial \mathcal{F}_i}{\partial X_i}. \]

Definition at line 143 of file Tempus_StepperDIRK_decl.hpp.

Member Function Documentation

template<class Scalar >
void Tempus::StepperDIRK< Scalar >::initialize ( )
overridevirtual

Initialize after construction and changing input parameters.

Reimplemented from Tempus::Stepper< Scalar >.

Definition at line 71 of file Tempus_StepperDIRK_impl.hpp.

template<class Scalar >
void Tempus::StepperDIRK< Scalar >::setModel ( const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &  appModel)
overridevirtual

Set the model.

Reimplemented from Tempus::StepperImplicit< Scalar >.

Definition at line 86 of file Tempus_StepperDIRK_impl.hpp.

template<class Scalar >
void Tempus::StepperDIRK< Scalar >::setInitialConditions ( const Teuchos::RCP< SolutionHistory< Scalar > > &  solutionHistory)
overridevirtual

Set the initial conditions and make them consistent.

Reimplemented from Tempus::StepperImplicit< Scalar >.

Definition at line 128 of file Tempus_StepperDIRK_impl.hpp.

template<class Scalar >
virtual void Tempus::StepperDIRK< Scalar >::setResetInitialGuess ( bool  reset_guess)
inlinevirtual

Set parameter so that the initial guess is reset at the beginning of each timestep.

Definition at line 162 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >
virtual bool Tempus::StepperDIRK< Scalar >::getResetInitialGuess ( ) const
inlinevirtual

Definition at line 166 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >
void Tempus::StepperDIRK< Scalar >::takeStep ( const Teuchos::RCP< SolutionHistory< Scalar > > &  solutionHistory)
overridevirtual

Take the specified timestep, dt, and return true if successful.

Implements Tempus::Stepper< Scalar >.

Definition at line 136 of file Tempus_StepperDIRK_impl.hpp.

template<class Scalar >
Teuchos::RCP< Tempus::StepperState< Scalar > > Tempus::StepperDIRK< Scalar >::getDefaultStepperState ( )
overridevirtual

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 330 of file Tempus_StepperDIRK_impl.hpp.

template<class Scalar >
virtual bool Tempus::StepperDIRK< Scalar >::isExplicit ( ) const
inlineoverridevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 176 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >
virtual bool Tempus::StepperDIRK< Scalar >::isImplicit ( ) const
inlineoverridevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 185 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >
virtual bool Tempus::StepperDIRK< Scalar >::isExplicitImplicit ( ) const
inlineoverridevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 186 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >
virtual bool Tempus::StepperDIRK< Scalar >::isOneStepMethod ( ) const
inlineoverridevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 190 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >
virtual bool Tempus::StepperDIRK< Scalar >::isMultiStepMethod ( ) const
inlineoverridevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 191 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >
virtual OrderODE Tempus::StepperDIRK< Scalar >::getOrderODE ( ) const
inlineoverridevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 193 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >
virtual std::string Tempus::StepperDIRK< Scalar >::getDescription ( ) const
pure virtual
template<class Scalar >
std::vector<Teuchos::RCP<Thyra::VectorBase<Scalar> > >& Tempus::StepperDIRK< Scalar >::getStageXDot ( )
inline

Definition at line 198 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >
Teuchos::RCP<Thyra::VectorBase<Scalar> >& Tempus::StepperDIRK< Scalar >::getXTilde ( )
inline

Definition at line 202 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >
virtual Scalar Tempus::StepperDIRK< Scalar >::getAlpha ( const Scalar  dt) const
inlineoverridevirtual

Return alpha = d(xDot)/dx.

Implements Tempus::StepperImplicit< Scalar >.

Definition at line 205 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >
virtual Scalar Tempus::StepperDIRK< Scalar >::getBeta ( const Scalar  ) const
inlineoverridevirtual

Return beta = d(x)/dx.

Implements Tempus::StepperImplicit< Scalar >.

Definition at line 220 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >
virtual Scalar Tempus::StepperDIRK< Scalar >::getAlpha ( const Scalar  dt,
int  i 
) const
inlinevirtual

Return alpha = d(xDot)/dx for stage i.

Definition at line 223 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >
Teuchos::RCP< const Teuchos::ParameterList > Tempus::StepperDIRK< Scalar >::getValidParameters ( ) const
overridevirtual
template<class Scalar >
Teuchos::RCP< Teuchos::ParameterList > Tempus::StepperDIRK< Scalar >::getValidParametersBasicDIRK ( ) const

Definition at line 56 of file Tempus_StepperDIRK_impl.hpp.

template<class Scalar >
void Tempus::StepperDIRK< Scalar >::describe ( Teuchos::FancyOStream out,
const Teuchos::EVerbosityLevel  verbLevel 
) const
overridevirtual

Reimplemented from Tempus::StepperImplicit< Scalar >.

Definition at line 338 of file Tempus_StepperDIRK_impl.hpp.

template<class Scalar >
bool Tempus::StepperDIRK< Scalar >::isValidSetup ( Teuchos::FancyOStream out) const
overridevirtual

Reimplemented from Tempus::StepperImplicit< Scalar >.

Definition at line 365 of file Tempus_StepperDIRK_impl.hpp.

template<class Scalar >
virtual void Tempus::StepperDIRK< Scalar >::setStepperDIRKValues ( Teuchos::RCP< Teuchos::ParameterList pl)
inlinevirtual

Set StepperDIRK member data from the ParameterList.

Definition at line 245 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >
void Tempus::StepperDIRK< Scalar >::setupDefault ( )
protectedvirtual

Default setup for constructor.

Definition at line 19 of file Tempus_StepperDIRK_impl.hpp.

template<class Scalar >
void Tempus::StepperDIRK< Scalar >::setup ( const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &  wrapperModel,
const Teuchos::RCP< Thyra::NonlinearSolverBase< Scalar > > &  solver,
bool  useFSAL,
std::string  ICConsistency,
bool  ICConsistencyCheck,
bool  useEmbedded,
bool  zeroInitialGuess,
const Teuchos::RCP< StepperRKAppAction< Scalar > > &  stepperRKAppAction 
)
protectedvirtual

Setup for constructor.

Definition at line 30 of file Tempus_StepperDIRK_impl.hpp.

template<class Scalar >
virtual void Tempus::StepperDIRK< Scalar >::setupTableau ( )
protectedpure virtual
template<class Scalar >
void Tempus::StepperDIRK< Scalar >::setEmbeddedMemory ( )
overrideprotectedvirtual

Reimplemented from Tempus::StepperRKBase< Scalar >.

Definition at line 108 of file Tempus_StepperDIRK_impl.hpp.

Member Data Documentation

template<class Scalar >
std::vector<Teuchos::RCP<Thyra::VectorBase<Scalar> > > Tempus::StepperDIRK< Scalar >::stageXDot_
protected

Definition at line 275 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >
Teuchos::RCP<Thyra::VectorBase<Scalar> > Tempus::StepperDIRK< Scalar >::xTilde_
protected

Definition at line 276 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >
bool Tempus::StepperDIRK< Scalar >::resetGuess_ = true
protected

Definition at line 278 of file Tempus_StepperDIRK_decl.hpp.


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