HarmonicOscillatorModel_decl.hpp

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// @HEADER
// ****************************************************************************
//                Tempus: Copyright (2017) Sandia Corporation
//
// Distributed under BSD 3-clause license (See accompanying file Copyright.txt)
// ****************************************************************************
// @HEADER
 
#ifndef TEMPUS_TEST_HARMONIC_OSCILLATOR_MODEL_DECL_HPP
#define TEMPUS_TEST_HARMONIC_OSCILLATOR_MODEL_DECL_HPP
 
#include "Thyra_ModelEvaluator.hpp" // Interface
#include "Thyra_StateFuncModelEvaluatorBase.hpp" // Implementation
 
#include "Teuchos_ParameterListAcceptorDefaultBase.hpp"
#include "Teuchos_ParameterList.hpp"
 
namespace Tempus_Test {
 
/** \brief 
  * Consider the ODE: 
  *   \f[
  *   m\ddot{x} + c\dot{x} + kx=f
  *   \f]
  * where \f$k \geq 0\f$ is a constant, \f$c\f$ is a constant damping parameter, \f$f\f$ is a constant forcing parameter,
  * and \f$m>0\f$ is a constant mass parameter, with initial conditions are:
  *   \f{eqnarray*}{
  *     x(0) & = & 0\\
  *     \dot{x}(0) & = & 1
  *   \f}
  * It is straight-forward to show that the exact solution to this ODE is:
  *   \f{eqnarray*}{
  *     x(t) & = & t(1+0.5\tilde{f}t),  \hspace{3.6cm} if  \hspace{0.2cm} k = c = 0 \\
  *          & = & \frac{(\tilde{c}-\tilde{f})}{\tilde{c}^2}(1-e^{-\tilde{c}t}) + \frac{f}{c}t, \hspace{1.9cm} if \hspace{0.2cm} k = 0, c\neq 0 \\
  *          & = & \frac{1}{\sqrt{\tilde{k}}}\sin(\sqrt{\tilde{k}}t) + \frac{f}{k}\left(1-\cos(\sqrt{\tilde{k}}t) \right), \hspace{0.2cm} if \hspace{0.2cm} k > 0, c = 0
  *   \f}
  * where \f$\tilde{c}\equiv c/m\f$, \f$\tilde{k}\equiv k/m\f$ and \f$\tilde{f}\equiv f/m\f$.  While it is possible to derive the solution to this ODE for the case when \f$k > 0\f$ and \f$c \neq 0\f$,
  * we do not consider that case here.  When \f$c = k = 0\f$, \f$m=1\f$, and \f$f=-1\f$,
  * our ODE simplies to a 
  * canonical differential equation model of a ball thrown up
  * in the air, with a parabolic trajectory solution, namely 
  *    \f[
  *    x(t) = t(1-0.5t)
  *    \f]
  * where \f$t\in [0,2]\f$.  An EpetraExt version of this simplified version of the test is implemented in
  * Piro::MockModelEval_B (see Trilinos/packages/piro/test), where it is used to test the Piro (EpetraExt)
  * Newmark-Beta scheme (see input_Solver_NB.xml input file).  When \f$c = f = 0\f$ and  \f$m=k = 1\f$, 
  * this test is equivalent to the SinCos model..
  */
 
template<class Scalar>
class HarmonicOscillatorModel
  : public Thyra::StateFuncModelEvaluatorBase<Scalar>,
    public Teuchos::ParameterListAcceptorDefaultBase
{
  public:
 
  // Constructor
  HarmonicOscillatorModel(Teuchos::RCP<Teuchos::ParameterList> pList = Teuchos::null);
 
  // Exact solution
  Thyra::ModelEvaluatorBase::InArgs<Scalar> getExactSolution(double t) const;
 
  /** \name Public functions overridden from ModelEvaluator. */
  //@{
 
  Teuchos::RCP<const Thyra::VectorSpaceBase<Scalar> > get_x_space() const;
  Teuchos::RCP<const Thyra::VectorSpaceBase<Scalar> > get_f_space() const;
  Thyra::ModelEvaluatorBase::InArgs<Scalar> getNominalValues() const;
  Teuchos::RCP<Thyra::LinearOpWithSolveBase<Scalar> > create_W() const;
  Teuchos::RCP<Thyra::LinearOpBase<Scalar> > create_W_op() const;
  Teuchos::RCP<const Thyra::LinearOpWithSolveFactoryBase<Scalar> > get_W_factory() const;
  Thyra::ModelEvaluatorBase::InArgs<Scalar> createInArgs() const;
 
  Teuchos::RCP<const Thyra::VectorSpaceBase<Scalar> > get_p_space(int l) const;
  Teuchos::RCP<const Teuchos::Array<std::string> > get_p_names(int l) const;
  Teuchos::RCP<const Thyra::VectorSpaceBase<Scalar> > get_g_space(int j) const;
 
  //@}
 
  /** \name Public functions overridden from ParameterListAcceptor. */
  //@{
  void setParameterList(Teuchos::RCP<Teuchos::ParameterList> const& paramList);
  Teuchos::RCP<const Teuchos::ParameterList> getValidParameters() const;
  //@}
 
private:
 
  void setupInOutArgs_() const;
 
  /** \name Private functions overridden from ModelEvaluatorDefaultBase. */
  //@{
  Thyra::ModelEvaluatorBase::OutArgs<Scalar> createOutArgsImpl() const;
  void evalModelImpl(
    const Thyra::ModelEvaluatorBase::InArgs<Scalar> &inArgs_bar,
    const Thyra::ModelEvaluatorBase::OutArgs<Scalar> &outArgs_bar
    ) const;
  //@}
 
private:
  Teuchos::RCP<const Thyra::VectorSpaceBase<Scalar> > x_space_;
  Teuchos::RCP<const Thyra::VectorSpaceBase<Scalar> > p_space_;
  Teuchos::RCP<const Thyra::VectorSpaceBase<Scalar> > g_space_;
  Teuchos::RCP<Thyra::VectorBase<Scalar> > x_vec_;
  Teuchos::RCP<Thyra::VectorBase<Scalar> > x_dot_vec_;
  Teuchos::RCP<Thyra::VectorBase<Scalar> > x_dot_dot_vec_;
  Teuchos::RCP<Thyra::VectorBase<Scalar> > p_init_;
  int vecLength_; //Number of state unknowns (1)
  int numResponses_; //Number of responses (1)
  mutable Thyra::ModelEvaluatorBase::InArgs<Scalar>  inArgs_;
  mutable Thyra::ModelEvaluatorBase::OutArgs<Scalar> outArgs_;
  mutable Thyra::ModelEvaluatorBase::InArgs<Scalar>  nominalValues_;
  mutable bool isInitialized_;
  double c_; //damping coefficient
  double f_; //forcing coefficient
  double k_; //coefficient multiplying x in ODE 
  double m_; //mass coefficient
  Teuchos::RCP<Teuchos::FancyOStream> out_;
};
 
 
 
} // namespace Tempus_Test
#endif // TEMPUS_TEST_HARMONIC_OSCILLATOR_MODEL_DECL_HPP