tmop_pa_w3.cpp

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// Copyright (c) 2010-2022, Lawrence Livermore National Security, LLC. Produced
// at the Lawrence Livermore National Laboratory. All Rights reserved. See files
// LICENSE and NOTICE for details. LLNL-CODE-806117.
//
// This file is part of the MFEM library. For more information and source code
// availability visit https://mfem.org.
//
// MFEM is free software; you can redistribute it and/or modify it under the
// terms of the BSD-3 license. We welcome feedback and contributions, see file
// CONTRIBUTING.md for details.

#include "../tmop.hpp"
#include "tmop_pa.hpp"
#include "../linearform.hpp"
#include "../../general/forall.hpp"
#include "../../linalg/kernels.hpp"
#include "../../linalg/dinvariants.hpp"

namespace mfem
{

using Args = kernels::InvariantsEvaluator3D::Buffers;

// mu_302 = I1b * I2b / 9 - 1
static MFEM_HOST_DEVICE inline
double EvalW_302(const double *J)
{
   double B[9];
   kernels::InvariantsEvaluator3D ie(Args().J(J).B(B));
   return ie.Get_I1b()*ie.Get_I2b()/9. - 1.;
}

// mu_303 = I1b/3 - 1
static MFEM_HOST_DEVICE inline
double EvalW_303(const double *J)
{
   double B[9];
   kernels::InvariantsEvaluator3D ie(Args().J(J).B(B));
   return ie.Get_I1b()/3. - 1.;
}

// mu_315 = (I3b - 1)^2
static MFEM_HOST_DEVICE inline
double EvalW_315(const double *J)
{
   double B[9];
   kernels::InvariantsEvaluator3D ie(Args().J(J).B(B));
   const double a = ie.Get_I3b() - 1.0;
   return a*a;
}

// mu_321 = I1 + I2/I3 - 6
static MFEM_HOST_DEVICE inline
double EvalW_321(const double *J)
{
   double B[9];
   kernels::InvariantsEvaluator3D ie(Args().J(J).B(B));
   return ie.Get_I1() + ie.Get_I2()/ie.Get_I3() - 6.0;
}

static MFEM_HOST_DEVICE inline
double EvalW_332(const double *J, double gamma)
{
   return (1.0 - gamma) * EvalW_302(J) + gamma * EvalW_315(J);
}

MFEM_REGISTER_TMOP_KERNELS(double, EnergyPA_3D,
                           const double metric_normal,
                           const double metric_param,
                           const int mid,
                           const int NE,
                           const DenseTensor &j_,
                           const Array<double> &w_,
                           const Array<double> &b_,
                           const Array<double> &g_,
                           const Vector &ones,
                           const Vector &x_,
                           Vector &energy,
                           const int d1d,
                           const int q1d)
{
   MFEM_VERIFY(mid == 302 || mid == 303 || mid == 315 ||
               mid == 321 || mid == 332, "3D metric not yet implemented!");

   constexpr int DIM = 3;
   const int D1D = T_D1D ? T_D1D : d1d;
   const int Q1D = T_Q1D ? T_Q1D : q1d;

   const auto J = Reshape(j_.Read(), DIM, DIM, Q1D, Q1D, Q1D, NE);
   const auto b = Reshape(b_.Read(), Q1D, D1D);
   const auto g = Reshape(g_.Read(), Q1D, D1D);
   const auto W = Reshape(w_.Read(), Q1D, Q1D, Q1D);
   const auto X = Reshape(x_.Read(), D1D, D1D, D1D, DIM, NE);

   auto E = Reshape(energy.Write(), Q1D, Q1D, Q1D, NE);

   MFEM_FORALL_3D(e, NE, Q1D, Q1D, Q1D,
   {
      const int D1D = T_D1D ? T_D1D : d1d;
      const int Q1D = T_Q1D ? T_Q1D : q1d;
      constexpr int MQ1 = T_Q1D ? T_Q1D : T_MAX;
      constexpr int MD1 = T_D1D ? T_D1D : T_MAX;

      MFEM_SHARED double BG[2][MQ1*MD1];
      MFEM_SHARED double DDD[3][MD1*MD1*MD1];
      MFEM_SHARED double DDQ[6][MD1*MD1*MQ1];
      MFEM_SHARED double DQQ[9][MD1*MQ1*MQ1];
      MFEM_SHARED double QQQ[9][MQ1*MQ1*MQ1];

      kernels::internal::LoadX<MD1>(e,D1D,X,DDD);
      kernels::internal::LoadBG<MD1,MQ1>(D1D,Q1D,b,g,BG);

      kernels::internal::GradX<MD1,MQ1>(D1D,Q1D,BG,DDD,DDQ);
      kernels::internal::GradY<MD1,MQ1>(D1D,Q1D,BG,DDQ,DQQ);
      kernels::internal::GradZ<MD1,MQ1>(D1D,Q1D,BG,DQQ,QQQ);

      MFEM_FOREACH_THREAD(qz,z,Q1D)
      {
         MFEM_FOREACH_THREAD(qy,y,Q1D)
         {
            MFEM_FOREACH_THREAD(qx,x,Q1D)
            {
               const double *Jtr = &J(0,0,qx,qy,qz,e);
               const double detJtr = kernels::Det<3>(Jtr);
               const double weight = metric_normal * W(qx,qy,qz) * detJtr;

               // Jrt = Jtr^{-1}
               double Jrt[9];
               kernels::CalcInverse<3>(Jtr, Jrt);

               // Jpr = X^t.DSh
               double Jpr[9];
               kernels::internal::PullGrad<MQ1>(Q1D,qx,qy,qz, QQQ, Jpr);

               // Jpt = X^t.DS = (X^t.DSh).Jrt = Jpr.Jrt
               double Jpt[9];
               kernels::Mult(3,3,3, Jpr, Jrt, Jpt);

               // metric->EvalW(Jpt);
               const double EvalW =
               mid == 302 ? EvalW_302(Jpt) :
               mid == 303 ? EvalW_303(Jpt) :
               mid == 315 ? EvalW_315(Jpt) :
               mid == 321 ? EvalW_321(Jpt) :
               mid == 332 ? EvalW_332(Jpt, metric_param) : 0.0;

               E(qx,qy,qz,e) = weight * EvalW;
            }
         }
      }
   });
   return energy * ones;
}

double TMOP_Integrator::GetLocalStateEnergyPA_3D(const Vector &X) const
{
   const int N = PA.ne;
   const int M = metric->Id();
   const int D1D = PA.maps->ndof;
   const int Q1D = PA.maps->nqpt;
   const int id = (D1D << 4 ) | Q1D;
   const double mn = metric_normal;
   const DenseTensor &J = PA.Jtr;
   const Array<double> &W = PA.ir->GetWeights();
   const Array<double> &B = PA.maps->B;
   const Array<double> &G = PA.maps->G;
   const Vector &O = PA.O;
   Vector &E = PA.E;

   double mp = 0.0;
   if (auto m = dynamic_cast<TMOP_Metric_332 *>(metric)) { mp = m->GetGamma(); }

   MFEM_LAUNCH_TMOP_KERNEL(EnergyPA_3D,id,mn,mp,M,N,J,W,B,G,O,X,E);
}

} // namespace mfem