Timestep stategy for an explicit two stage TVD Runge Kutta scheme to solve problems in time. More...

#include <tvd_rk2.hh>

Inheritance diagram for timestepping::TvdRK2:
timestepping::TimeStepStrategy concepts::OutputOperator

Public Member Functions

 TvdRK2 (concepts::SolverFabric< Real > &fabric, concepts::Operator< Real > &D1, concepts::Operator< Real > &D0, TimeVector &trhs, const concepts::Vector< Real > &Y0, Real dt)
 Constructor. More...
 
virtual ~TvdRK2 ()
 

Protected Member Functions

virtual std::ostream & info (std::ostream &os) const
 Returns information in an output stream. More...
 
virtual void next ()
 The overloaded member function next() has to calculate the new right hand side and to release the solution vector. More...
 

Protected Attributes

Real dt_
 Time step size. More...
 
concepts::Operator< Real > * liCo_
 Operator of the linear equation system which is solved by the friend class TimeStepping. More...
 
concepts::Vector< Real > rhs_
 The right hand side vector of the linear equation system which is solved by the friend class TimeStepping. More...
 
concepts::Vector< Real > sol_
 The solution vector of the linear equation system which is solved by the friend class TimeStepping. More...
 
std::unique_ptr< concepts::Operator< Real > > solver_
 Solver for the linear system. More...
 
Real t_
 Time of the actual solution. More...
 

Private Attributes

concepts::Operator< Real > & D0_
 Space operator. More...
 
TimeVectortrhs_
 External driver function. More...
 
TimeVector Yn1_
 Store the latest timestep. More...
 

Detailed Description

Timestep stategy for an explicit two stage TVD Runge Kutta scheme to solve problems in time.

Definition at line 29 of file tvd_rk2.hh.

Constructor & Destructor Documentation

◆ TvdRK2()

timestepping::TvdRK2::TvdRK2 ( concepts::SolverFabric< Real > &  fabric,
concepts::Operator< Real > &  D1,
concepts::Operator< Real > &  D0,
TimeVector trhs,
const concepts::Vector< Real > &  Y0,
Real  dt 
)

Constructor.

Parameters
D1Space opeartor D1
D0Space opeartor D0
trhsTimedependent external driver f(x,t)
Y0Initial condition y(x,0)
dtTime step size

◆ ~TvdRK2()

virtual timestepping::TvdRK2::~TvdRK2 ( )
virtual

Member Function Documentation

◆ info()

virtual std::ostream& timestepping::TvdRK2::info ( std::ostream &  os) const
protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

◆ next()

virtual void timestepping::TvdRK2::next ( )
protectedvirtual

The overloaded member function next() has to calculate the new right hand side and to release the solution vector.

Then the Timestepping solver can set the new solution.

Implements timestepping::TimeStepStrategy.

Member Data Documentation

◆ D0_

concepts::Operator<Real>& timestepping::TvdRK2::D0_
private

Space operator.

Definition at line 50 of file tvd_rk2.hh.

◆ dt_

Real timestepping::TimeStepStrategy::dt_
protectedinherited

Time step size.

Definition at line 77 of file strategy.hh.

◆ liCo_

concepts::Operator<Real>* timestepping::TimeStepStrategy::liCo_
protectedinherited

Operator of the linear equation system which is solved by the friend class TimeStepping.

It can be stored as a linear combination of two operators. The exact form depends on the specific scheme.

See also
TimeStepping

Definition at line 65 of file strategy.hh.

◆ rhs_

concepts::Vector<Real> timestepping::TimeStepStrategy::rhs_
protectedinherited

The right hand side vector of the linear equation system which is solved by the friend class TimeStepping.


See also
TimeStepping

Definition at line 75 of file strategy.hh.

◆ sol_

concepts::Vector<Real> timestepping::TimeStepStrategy::sol_
protectedinherited

The solution vector of the linear equation system which is solved by the friend class TimeStepping.


See also
TimeStepping

Definition at line 70 of file strategy.hh.

◆ solver_

std::unique_ptr<concepts::Operator<Real> > timestepping::TimeStepStrategy::solver_
protectedinherited

Solver for the linear system.

Definition at line 59 of file strategy.hh.

◆ t_

Real timestepping::TimeStepStrategy::t_
protectedinherited

Time of the actual solution.

Definition at line 79 of file strategy.hh.

◆ trhs_

TimeVector& timestepping::TvdRK2::trhs_
private

External driver function.

Definition at line 52 of file tvd_rk2.hh.

◆ Yn1_

TimeVector timestepping::TvdRK2::Yn1_
private

Store the latest timestep.

Definition at line 54 of file tvd_rk2.hh.


The documentation for this class was generated from the following file:
Page URL: http://wiki.math.ethz.ch/bin/view/Concepts/WebHome
21 August 2020
© 2020 Eidgenössische Technische Hochschule Zürich