6113d9ae5d
- any tableaux can be added, currently support euler, heun, RK3, RK4. example of usage in the AdvectionDiffusion application. the integrand is expected to assemble the mass matrix as the system matrix, while the load vector should be the value of the operator evaluation. git-svn-id: http://svn.sintef.no/trondheim/IFEM/trunk@2174 e10b68d5-8a6e-419e-a041-bce267b0401d
54 lines
1.5 KiB
C++
54 lines
1.5 KiB
C++
//==============================================================================
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//!
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//! \file TimeIntUtils.h
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//!
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//! \date Nov 28 2012
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//!
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//! \author Arne Morten Kvarving / SINTEF
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//!
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//! \brief Various helpers for time integration
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//!
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//==============================================================================
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#ifndef _TIME_INT_UTILS_H
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#define _TIME_INT_UTILS_H
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#include "DenseMatrix.h"
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#include <vector>
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namespace TimeIntegration //!< Time integration scope
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{
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//! \brief Enum defining various solution methods.
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enum Method
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{
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NONE = 0, //!< No time integration
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EULER = 1, //!< Forward Euler, explicit
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HEUN = 2, //!< Heun-Euler, explicit
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RK3 = 3, //!< Kutta's third order method, explicit
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RK4 = 4, //!< Kutta's fourth order method, explicit
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BE = 5, //!< Backward Euler, implicit
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BDF2 = 6 //!< Second order backward differencing, implicit
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};
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//! \brief Struct holding a Runge-Kutta tableaux
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typedef struct {
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int order; //!< order of Scheme
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DenseMatrix A; //!< Coefficient matrix
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std::vector<double> b; //!< Stage weights
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std::vector<double> c; //!< Stage levels
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} RKTableaux;
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//! \brief Returns the temporal order of the given method
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//! \param[in] method The method
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//! \returns The order of the given method
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int Order(Method method);
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//! \brief Returns the number of steps the given method
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//! \param[in] method The method
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//! \returns The number of steps in the given method
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int Steps(Method method);
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}
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#endif
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