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       1                 :            : // *****************************************************************************
       2                 :            : /*!
       3                 :            :   \file      src/PDE/CompFlow/Problem/TaylorGreen.hpp
       4                 :            :   \copyright 2012-2015 J. Bakosi,
       5                 :            :              2016-2018 Los Alamos National Security, LLC.,
       6                 :            :              2019-2021 Triad National Security, LLC.
       7                 :            :              All rights reserved. See the LICENSE file for details.
       8                 :            :   \brief     Problem configuration for the compressible flow equations
       9                 :            :   \details   This file defines a policy class for the compressible flow
      10                 :            :     equations, defined in PDE/CompFlow/CompFlow.h. See PDE/CompFlow/Problem.h
      11                 :            :     for general requirements on Problem policy classes for CompFlow.
      12                 :            : */
      13                 :            : // *****************************************************************************
      14                 :            : #ifndef CompFlowProblemTaylorGreen_h
      15                 :            : #define CompFlowProblemTaylorGreen_h
      16                 :            : 
      17                 :            : #include <string>
      18                 :            : #include <unordered_set>
      19                 :            : 
      20                 :            : #include "Types.hpp"
      21                 :            : #include "Fields.hpp"
      22                 :            : #include "FunctionPrototypes.hpp"
      23                 :            : #include "SystemComponents.hpp"
      24                 :            : #include "Inciter/Options/Problem.hpp"
      25                 :            : 
      26                 :            : namespace inciter {
      27                 :            : 
      28                 :            : //! CompFlow system of PDEs problem: Taylor-Green
      29                 :            : //! \see G.I. Taylor, A.E. Green, "Mechanism of the Production of Small Eddies
      30                 :            : //!   from Large Ones", Proc. R. Soc. Lond. A 1937 158 499-521; DOI:
      31                 :            : //!   10.1098/rspa.1937.0036. Published 3 February 1937
      32                 :            : //! \see Waltz, et. al, "Verification of a three-dimensional unstructured finite
      33                 :            : //!   element method using analytic and manufactured solutions", Computers and
      34                 :            : //!   Fluids, 2013, Vol.81, pp.57-67.
      35                 :            : class CompFlowProblemTaylorGreen {
      36                 :            : 
      37                 :            :   private:
      38                 :            :     using ncomp_t = tk::ctr::ncomp_t;
      39                 :            :     using eq = tag::compflow;
      40                 :            :     static constexpr ncomp_t m_ncomp = 5;    //!< Number of scalar components
      41                 :            : 
      42                 :            :   public:
      43                 :            :     //! Initialize numerical solution
      44                 :            :     static tk::InitializeFn::result_type
      45                 :            :     initialize( ncomp_t system, ncomp_t,
      46                 :            :                 tk::real x, tk::real y, tk::real, tk::real );
      47                 :            : 
      48                 :            :     //! Evaluate analytical solution at (x,y,z,t) for all components
      49                 :            :     static tk::InitializeFn::result_type
      50                 :            :     analyticSolution( ncomp_t system, ncomp_t, tk::real x, tk::real y, tk::real,
      51                 :            :                       tk::real );
      52                 :            : 
      53                 :            :     //! Compute and return source term for Rayleigh-Taylor manufactured solution
      54                 :            :     //! \param[in] x X coordinate where to evaluate the source
      55                 :            :     //! \param[in] y Y coordinate where to evaluate the source
      56                 :            :     //! \param[in,out] r Density source
      57                 :            :     //! \param[in,out] ru X momentum source
      58                 :            :     //! \param[in,out] rv Y momentum source
      59                 :            :     //! \param[in,out] rw Z momentum source
      60                 :            :     //! \param[in,out] re Specific total energy source
      61                 :            :     //! \note The function signature must follow tk::SrcFn
      62                 :            :     static tk::CompFlowSrcFn::result_type
      63                 :    5781600 :     src( ncomp_t, tk::real x, tk::real y, tk::real, tk::real,
      64                 :            :          tk::real& r, tk::real& ru, tk::real& rv, tk::real& rw, tk::real& re )
      65                 :            :     {
      66                 :    5781600 :       r = ru = rv = rw = 0.0;
      67                 :    5781600 :       re = 3.0*M_PI/8.0*( cos(3.0*M_PI*x)*cos(M_PI*y)
      68                 :    5781600 :                         - cos(3.0*M_PI*y)*cos(M_PI*x) );
      69                 :    5781600 :     }
      70                 :            : 
      71                 :            :     //! Return field names to be output to file
      72                 :            :     std::vector< std::string > analyticFieldNames( ncomp_t ) const;
      73                 :            : 
      74                 :            :     //! Return names of integral variables to be output to diagnostics file
      75                 :            :     std::vector< std::string > names( ncomp_t ) const;
      76                 :            : 
      77                 :            :     //! Return problem type
      78                 :       4695 :     static ctr::ProblemType type() noexcept
      79                 :       4695 :     { return ctr::ProblemType::TAYLOR_GREEN; }
      80                 :            : };
      81                 :            : 
      82                 :            : } // inciter::
      83                 :            : 
      84                 :            : #endif // CompFlowProblemTaylorGreen_h