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       1                 :            : // *****************************************************************************
       2                 :            : /*!
       3                 :            :   \file      src/PDE/Transport/Problem/CylVortex.cpp
       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 transport equations
       9                 :            :   \details   This file defines a Problem policy class for the transport
      10                 :            :     equations, defined in PDE/Transport/CGTransport.hpp implementing
      11                 :            :     node-centered continuous Galerkin (CG) and PDE/Transport/DGTransport.hpp
      12                 :            :     implementing cell-centered discontinuous Galerkin (DG) discretizations.
      13                 :            :     See PDE/Transport/Problem.hpp for general requirements on Problem policy
      14                 :            :     classes for cg::Transport and dg::Transport.
      15                 :            : */
      16                 :            : // *****************************************************************************
      17                 :            : 
      18                 :            : #include "CylVortex.hpp"
      19                 :            : 
      20                 :            : using inciter::TransportProblemCylVortex;
      21                 :            : 
      22                 :            : std::vector< tk::real >
      23                 :          0 : TransportProblemCylVortex::initialize( ncomp_t ncomp,
      24                 :            :                                        const std::vector< EOS >&,
      25                 :            :                                        tk::real x, tk::real y, tk::real,
      26                 :            :                                        tk::real t )
      27                 :            : // *****************************************************************************
      28                 :            : //  Evaluate initial solution at (x,y,t) for all components
      29                 :            : //! \param[in] ncomp Number of components in this transport equation system
      30                 :            : //! \param[in] x X coordinate where to evaluate the solution
      31                 :            : //! \param[in] y Y coordinate where to evaluate the solution
      32                 :            : //! \param[in] t Time where to evaluate the solution
      33                 :            : //! \return Values of all components evaluated at (x,y,t=0)
      34                 :            : //! \details This function only gives the initial condition for the cylinder,
      35                 :            : //!   and not the solution at any time t>0.
      36                 :            : // *****************************************************************************
      37                 :            : {
      38         [ -  - ]:          0 :   const auto vel = prescribedVelocity( ncomp, x, y, 0.0, t );
      39                 :            : 
      40 [ -  - ][ -  - ]:          0 :   if (ncomp != 4) Throw("Cylinder deformation in vortex is only set up for 4 "
         [ -  - ][ -  - ]
      41                 :            :     "components");
      42                 :            : 
      43         [ -  - ]:          0 :   std::vector< tk::real > s( ncomp, 0.0 );
      44                 :            : 
      45                 :            :   // center of the cylinder
      46                 :          0 :   auto x0 = 0.5;
      47                 :          0 :   auto y0 = 0.75;
      48                 :          0 :   auto r = sqrt((x-x0)*(x-x0) + (y-y0)*(y-y0));
      49                 :            : 
      50         [ -  - ]:          0 :   if (r<=0.15) {
      51 [ -  - ][ -  - ]:          0 :     if (x<x0 && y>=y0) s[0] = 1.0;
      52 [ -  - ][ -  - ]:          0 :     else if (x>=x0 && y>=y0) s[1] = 1.0;
      53 [ -  - ][ -  - ]:          0 :     else if (x>=x0 && y<y0) s[2] = 1.0;
      54 [ -  - ][ -  - ]:          0 :     else if (x<x0 && y<y0) s[3] = 1.0;
      55                 :            :   }
      56                 :            : 
      57                 :          0 :   return s;
      58                 :            : }
      59                 :            : 
      60                 :            : std::vector< std::array< tk::real, 3 > >
      61                 :          0 : TransportProblemCylVortex::prescribedVelocity( ncomp_t ncomp,
      62                 :            :   tk::real x, tk::real y, tk::real, tk::real t )
      63                 :            : // *****************************************************************************
      64                 :            : //! Assign prescribed velocity at a point
      65                 :            : //! \param[in] ncomp Number of components in this transport equation
      66                 :            : //! \param[in] x x coordinate at which to assign velocity
      67                 :            : //! \param[in] y y coordinate at which to assign velocity
      68                 :            : //! \param[in] t time at which to assign velocity
      69                 :            : //! \return Velocity assigned to all vertices of a tetrehedron, size:
      70                 :            : //!   ncomp * ndim = [ncomp][3]
      71                 :            : // *****************************************************************************
      72                 :            : {
      73         [ -  - ]:          0 :   std::vector< std::array< tk::real, 3 > > vel( ncomp );
      74                 :            : 
      75                 :          0 :   auto pi = 4.0 * std::atan(1.0);
      76         [ -  - ]:          0 :   for (ncomp_t c=0; c<ncomp; ++c) {
      77                 :          0 :     vel[c][0] = - 2.0*std::cos(t*pi/4.0) * std::pow(std::sin(pi*x), 2)
      78                 :          0 :       * std::sin(pi*y) * std::cos(pi*y);
      79                 :          0 :     vel[c][1] = 2.0*std::cos(t*pi/4.0) * std::pow(std::sin(pi*y), 2)
      80                 :          0 :       * std::sin(pi*x) * std::cos(pi*x);
      81                 :          0 :     vel[c][2] = 0.0;
      82                 :            :   }
      83                 :            : 
      84                 :          0 :   return vel;
      85                 :            : }