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remhos_lo.cpp
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// Copyright (c) 2017, Lawrence Livermore National Security, LLC. Produced at
// the Lawrence Livermore National Laboratory. LLNL-CODE-734707. All Rights
// reserved. See files LICENSE and NOTICE for details.
//
// This file is part of CEED, a collection of benchmarks, miniapps, software
// libraries and APIs for efficient high-order finite element and spectral
// element discretizations for exascale applications. For more information and
// source code availability see http://github.com/ceed.
//
// The CEED research is supported by the Exascale Computing Project 17-SC-20-SC,
// a collaborative effort of two U.S. Department of Energy organizations (Office
// of Science and the National Nuclear Security Administration) responsible for
// the planning and preparation of a capable exascale ecosystem, including
// software, applications, hardware, advanced system engineering and early
// testbed platforms, in support of the nation's exascale computing imperative.
#include "remhos_lo.hpp"
#include "remhos_tools.hpp"
#include "remhos_ho.hpp"
#if MFEM_VERSION >= 40600
#define MAX_D1D DofQuadLimits::MAX_D1D
#define MAX_Q1D DofQuadLimits::MAX_Q1D
#endif
using namespace std;
namespace mfem
{
DiscreteUpwind::DiscreteUpwind(ParFiniteElementSpace &space,
const SparseMatrix &adv,
const Array<int> &adv_smap, const Vector &Mlump,
Assembly &asmbly, bool updateD)
: LOSolver(space),
K(adv), D(), K_smap(adv_smap), M_lumped(Mlump),
assembly(asmbly), update_D(updateD)
{
D = K;
ComputeDiscreteUpwindMatrix();
}
void DiscreteUpwind::CalcLOSolution(const Vector &u, Vector &du) const
{
const int ndof = pfes.GetFE(0)->GetDof();
Vector alpha(ndof); alpha = 0.0;
// Recompute D due to mesh changes (K changes) in remap mode.
if (update_D) { ComputeDiscreteUpwindMatrix(); }
// Discretization and monotonicity terms.
D.Mult(u, du);
// Lump fluxes (for PDU).
ParGridFunction u_gf(&pfes);
u_gf = u;
u_gf.ExchangeFaceNbrData();
Vector &u_nd = u_gf.FaceNbrData();
const int ne = pfes.GetNE();
u.HostRead();
du.HostReadWrite();
M_lumped.HostRead();
for (int k = 0; k < ne; k++)
{
// Face contributions.
for (int f = 0; f < assembly.dofs.numBdrs; f++)
{
assembly.LinearFluxLumping(k, ndof, f, u, du, u_nd, alpha);
}
}
const int s = du.Size();
for (int i = 0; i < s; i++) { du(i) /= M_lumped(i); }
}
void DiscreteUpwind::ComputeDiscreteUpwindMatrix() const
{
const int *Ip = K.HostReadI(), *Jp = K.HostReadJ(), n = K.Size();
const double *Kp = K.HostReadData();
double *Dp = D.HostReadWriteData();
D.HostReadWriteI(); D.HostReadWriteJ();
for (int i = 0, k = 0; i < n; i++)
{
double rowsum = 0.;
for (int end = Ip[i+1]; k < end; k++)
{
int j = Jp[k];
double kij = Kp[k];
double kji = Kp[K_smap[k]];
double dij = fmax(fmax(0.0,-kij),-kji);
Dp[k] = kij + dij;
Dp[K_smap[k]] = kji + dij;
if (i != j) { rowsum += dij; }
}
D(i,i) = K(i,i) - rowsum;
}
}
ResidualDistribution::ResidualDistribution(ParFiniteElementSpace &space,
ParBilinearForm &Kbf,
Assembly &asmbly, const Vector &Mlump,
bool subcell, bool timedep)
: LOSolver(space),
K(Kbf), assembly(asmbly),
M_lumped(Mlump), subcell_scheme(subcell), time_dep(timedep)
{ }
void ResidualDistribution::CalcLOSolution(const Vector &u, Vector &du) const
{
const int ndof = pfes.GetFE(0)->GetDof();
const int ne = pfes.GetMesh()->GetNE();
Vector alpha(ndof); alpha = 0.0;
Vector z(u.Size());
const double gamma = 1.0;
int dof_id;
double xSum, sumFluctSubcellP, sumFluctSubcellN, sumWeightsP,
sumWeightsN, weightP, weightN, rhoP, rhoN, aux, fluct, eps = 1.E-15;
Vector xMaxSubcell, xMinSubcell, sumWeightsSubcellP, sumWeightsSubcellN,
fluctSubcellP, fluctSubcellN, nodalWeightsP, nodalWeightsN;
// Discretization terms
du = 0.;
K.Mult(u, z);
ParGridFunction u_gf(&pfes);
u_gf = u;
u_gf.ExchangeFaceNbrData();
Vector &u_nd = u_gf.FaceNbrData();
z.HostReadWrite();
u.HostRead();
du.HostReadWrite();
M_lumped.HostRead();
// Monotonicity terms
for (int k = 0; k < ne; k++)
{
// Boundary contributions
for (int f = 0; f < assembly.dofs.numBdrs; f++)
{
assembly.LinearFluxLumping(k, ndof, f, u, du, u_nd, alpha);
}
// Element contributions
rhoP = rhoN = xSum = 0.;
assembly.dofs.xe_min(k) = numeric_limits<double>::infinity();
assembly.dofs.xe_max(k) = - numeric_limits<double>::infinity();
for (int j = 0; j < ndof; j++)
{
dof_id = k*ndof+j;
assembly.dofs.xe_max(k) = max(assembly.dofs.xe_max(k), u(dof_id));
assembly.dofs.xe_min(k) = min(assembly.dofs.xe_min(k), u(dof_id));
xSum += u(dof_id);
rhoP += max(0., z(dof_id));
rhoN += min(0., z(dof_id));
}
sumWeightsP = ndof*assembly.dofs.xe_max(k) - xSum + eps;
sumWeightsN = ndof*assembly.dofs.xe_min(k) - xSum - eps;
if (subcell_scheme)
{
fluctSubcellP.SetSize(assembly.dofs.numSubcells);
fluctSubcellN.SetSize(assembly.dofs.numSubcells);
xMaxSubcell.SetSize(assembly.dofs.numSubcells);
xMinSubcell.SetSize(assembly.dofs.numSubcells);
sumWeightsSubcellP.SetSize(assembly.dofs.numSubcells);
sumWeightsSubcellN.SetSize(assembly.dofs.numSubcells);
nodalWeightsP.SetSize(ndof);
nodalWeightsN.SetSize(ndof);
sumFluctSubcellP = sumFluctSubcellN = 0.;
nodalWeightsP = 0.; nodalWeightsN = 0.;
// compute min-/max-values and the fluctuation for subcells
for (int m = 0; m < assembly.dofs.numSubcells; m++)
{
xMinSubcell(m) = numeric_limits<double>::infinity();
xMaxSubcell(m) = - numeric_limits<double>::infinity();;
fluct = xSum = 0.;
if (time_dep)
{
assembly.ComputeSubcellWeights(k, m);
}
for (int i = 0; i < assembly.dofs.numDofsSubcell; i++)
{
dof_id = k*ndof + assembly.dofs.Sub2Ind(m, i);
fluct += assembly.SubcellWeights(k)(m,i) * u(dof_id);
xMaxSubcell(m) = max(xMaxSubcell(m), u(dof_id));
xMinSubcell(m) = min(xMinSubcell(m), u(dof_id));
xSum += u(dof_id);
}
sumWeightsSubcellP(m) = assembly.dofs.numDofsSubcell
* xMaxSubcell(m) - xSum + eps;
sumWeightsSubcellN(m) = assembly.dofs.numDofsSubcell
* xMinSubcell(m) - xSum - eps;
fluctSubcellP(m) = max(0., fluct);
fluctSubcellN(m) = min(0., fluct);
sumFluctSubcellP += fluctSubcellP(m);
sumFluctSubcellN += fluctSubcellN(m);
}
for (int m = 0; m < assembly.dofs.numSubcells; m++)
{
for (int i = 0; i < assembly.dofs.numDofsSubcell; i++)
{
const int loc_id = assembly.dofs.Sub2Ind(m, i);
dof_id = k*ndof + loc_id;
nodalWeightsP(loc_id) += fluctSubcellP(m)
* ((xMaxSubcell(m) - u(dof_id))
/ sumWeightsSubcellP(m)); // eq. (58)
nodalWeightsN(loc_id) += fluctSubcellN(m)
* ((xMinSubcell(m) - u(dof_id))
/ sumWeightsSubcellN(m)); // eq. (59)
}
}
} //subcell scheme
for (int i = 0; i < ndof; i++)
{
dof_id = k*ndof+i;
weightP = (assembly.dofs.xe_max(k) - u(dof_id)) / sumWeightsP;
weightN = (assembly.dofs.xe_min(k) - u(dof_id)) / sumWeightsN;
if (subcell_scheme)
{
aux = gamma / (rhoP + eps);
weightP *= 1. - min(aux * sumFluctSubcellP, 1.);
weightP += min(aux, 1./(sumFluctSubcellP+eps))*nodalWeightsP(i);
aux = gamma / (rhoN - eps);
weightN *= 1. - min(aux * sumFluctSubcellN, 1.);
weightN += max(aux, 1./(sumFluctSubcellN-eps))*nodalWeightsN(i);
}
du(dof_id) = (du(dof_id) + weightP * rhoP + weightN * rhoN) /
M_lumped(dof_id);
}
}
}
void MassBasedAvg::CalcLOSolution(const Vector &u, Vector &du) const
{
// Compute the new HO solution.
ParGridFunction u_HO_new(&pfes);
if (du_HO)
{
add(1.0, u, dt, *du_HO, u_HO_new);
du_HO = nullptr;
}
else
{
Vector du_HO(u.Size());
ho_solver.CalcHOSolution(u, du_HO);
add(1.0, u, dt, du_HO, u_HO_new);
}
// Mesh positions.
ParMesh *pmesh = pfes.GetParMesh();
const int NE = pfes.GetNE();
Vector el_mass(NE), el_vol(NE);
MassesAndVolumesAtPosition(u_HO_new, *pmesh->GetNodes(), el_mass, el_vol);
const int ndofs = u.Size() / NE;
for (int k = 0; k < NE; k++)
{
double u_LO_new = el_mass(k) / el_vol(k);
for (int i = 0; i < ndofs; i++)
{
du(k*ndofs + i) = (u_LO_new - u(k*ndofs + i)) / dt;
}
}
}
void MassBasedAvg::MassesAndVolumesAtPosition(const ParGridFunction &u,
const GridFunction &x,
Vector &el_mass,
Vector &el_vol) const
{
// Only the order of the transformation matters.
auto *Tr = x.FESpace()->GetMesh()->GetElementTransformation(0);
const FiniteElement *fe = u.ParFESpace()->GetFE(0);
const IntegrationRule &ir = MassIntegrator::GetRule(*fe, *fe, *Tr);
const int nqp = ir.GetNPoints();
const int NE = x.FESpace()->GetNE();
GeometricFactors geom(x, ir, GeometricFactors::DETERMINANTS);
auto qi_u = u.FESpace()->GetQuadratureInterpolator(ir);
Vector u_qvals(nqp * NE);
// As an L2 function, u has the correct EVector lexicographic ordering.
qi_u->Values(u, u_qvals);
for (int k = 0; k < NE; k++)
{
el_mass(k) = 0.0;
el_vol(k) = 0.0;
for (int q = 0; q < nqp; q++)
{
const IntegrationPoint &ip = ir.IntPoint(q);
el_mass(k) += ip.weight * geom.detJ(k*nqp + q) * u_qvals(k*nqp + q);
el_vol(k) += ip.weight * geom.detJ(k*nqp + q);
}
}
}
const DofToQuad *get_maps(ParFiniteElementSpace &pfes, Assembly &asmbly)
{
const FiniteElement *el_trace =
pfes.GetTraceElement(0, pfes.GetParMesh()->GetFaceGeometry(0));
return &el_trace->GetDofToQuad(*asmbly.lom.irF, DofToQuad::TENSOR);
}
//====
//Residual Distribution
//
PAResidualDistribution::PAResidualDistribution(ParFiniteElementSpace &space,
ParBilinearForm &Kbf,
Assembly &asmbly,
const Vector &Mlump,
bool subcell, bool timedep)
: ResidualDistribution(space, Kbf, asmbly, Mlump, subcell, timedep),
quad1D(get_maps(pfes, assembly)->nqpt),
dofs1D(get_maps(pfes, assembly)->ndof),
face_dofs((pfes.GetMesh()->Dimension() ==2) ? quad1D : quad1D * quad1D)
{
}
// Taken from DGTraceIntegrator::SetupPA L:145
void PAResidualDistribution::SampleVelocity(FaceType type) const
{
const int nf = pfes.GetNFbyType(type);
if (nf == 0) { return; }
const IntegrationRule *ir = assembly.lom.irF;
Mesh *mesh = pfes.GetMesh();
const int dim = mesh->Dimension();
const int nq = ir->GetNPoints();
double *vel_ptr = nullptr;
if (type == FaceType::Interior)
{
IntVelocity.SetSize(dim * nq * nf);
vel_ptr = IntVelocity.HostWrite();
}
if (type == FaceType::Boundary)
{
BdryVelocity.SetSize(dim * nq * nf);
vel_ptr = BdryVelocity.HostWrite();
}
auto C = mfem::Reshape(vel_ptr, dim, nq, nf);
Vector Vq(dim);
int f_idx = 0;
for (int f = 0; f < pfes.GetNF(); ++f)
{
int e1, e2;
int inf1, inf2;
mesh->GetFaceElements(f, &e1, &e2);
mesh->GetFaceInfos(f, &inf1, &inf2);
int my_face_id = inf1 / 64;
if ((type==FaceType::Interior && (e2>=0 || (e2<0 && inf2>=0))) ||
(type==FaceType::Boundary && e2<0 && inf2<0) )
{
FaceElementTransformations &T =
*mesh->GetFaceElementTransformations(f);
for (int q = 0; q < nq; ++q)
{
// Convert to lexicographic ordering
int iq = ToLexOrdering(dim, my_face_id, quad1D, q);
T.SetAllIntPoints(&ir->IntPoint(q));
const IntegrationPoint &eip1 = T.GetElement1IntPoint();
assembly.lom.coef->Eval(Vq, *T.Elem1, eip1);
for (int i = 0; i < dim; ++i)
{
C(i,iq,f_idx) = Vq(i);
}
}
f_idx++;
}
}
}
void PAResidualDistribution::SetupPA(FaceType type) const
{
const FiniteElementSpace *fes = assembly.GetFes();
int nf = fes->GetNFbyType(type);
if (nf == 0) {return;}
Mesh *mesh = fes->GetMesh();
int dim = mesh->Dimension();
mesh->DeleteGeometricFactors();
if (dim == 2) { return SetupPA2D(type); }
if (dim == 3) { return SetupPA3D(type); }
}
void PAResidualDistribution::SetupPA2D(FaceType type) const
{
const int nf = pfes.GetNFbyType(type);
Mesh *mesh = pfes.GetMesh();
const int dim = mesh->Dimension();
const IntegrationRule *ir = assembly.lom.irF;
const FaceGeometricFactors *geom =
mesh->GetFaceGeometricFactors(*ir,
FaceGeometricFactors::DETERMINANTS |
FaceGeometricFactors::NORMALS, type);
auto n = mfem::Reshape(geom->normal.Read(), quad1D, dim, nf);
auto detJ = mfem::Reshape(geom->detJ.Read(), quad1D, nf);
const double *w = ir->GetWeights().Read();
const double *vel_ptr;
if (type == FaceType::Interior) { vel_ptr = IntVelocity.Read(); }
if (type == FaceType::Boundary) { vel_ptr = BdryVelocity.Read(); }
auto vel = mfem::Reshape(vel_ptr, dim, ir->GetNPoints(), nf);
const int execMode = (int) assembly.GetExecMode();
if (type == FaceType::Interior)
{
//two sides per face
D_int.SetSize(quad1D*2*nf);
auto D = mfem::Reshape(D_int.Write(), quad1D, 2, nf);
MFEM_FORALL(f, nf,
{
for (int f_side=0; f_side<2; ++f_side)
{
for (int k1 = 0; k1 < quad1D; ++k1)
{
int direction = 1 - 2*f_side;
double vvalnor =
vel(0,k1,f)*direction*n(k1, 0, f) +
vel(1,k1,f)*direction*n(k1, 1, f);
if (execMode == 0)
{
vvalnor = fmin(0., vvalnor); //advection
}
else
{
vvalnor = -fmax(0., vvalnor);
}
double t_vn = vvalnor* w[k1] * detJ(k1, f);
D(k1, f_side, f) = - t_vn;
}
}//f_side
});
}//Interior
if (type == FaceType::Boundary)
{
//Only one side per face on the boundary
D_bdry.SetSize(quad1D*nf);
auto D = mfem::Reshape(D_bdry.Write(), quad1D, nf);
MFEM_FORALL(f, nf,
{
for (int k1 = 0; k1 < quad1D; ++k1)
{
double vvalnor =
vel(0,k1,f)*n(k1, 0, f) +
vel(1,k1,f)*n(k1, 1, f);
if (execMode == 0)
{
vvalnor = fmin(0., vvalnor);
}
else
{
vvalnor = -fmax(0., vvalnor);
}
double t_vn = vvalnor* w[k1] * detJ(k1, f);
D(k1, f) = - t_vn;
}
});
}//boundary
}
void PAResidualDistribution::SetupPA3D(FaceType type) const
{
const int nf = pfes.GetNFbyType(type);
Mesh *mesh = pfes.GetMesh();
const int dim = mesh->Dimension();
const IntegrationRule *ir = assembly.lom.irF;
const FaceGeometricFactors *geom =
mesh->GetFaceGeometricFactors(*ir,
FaceGeometricFactors::DETERMINANTS |
FaceGeometricFactors::NORMALS, type);
auto n = mfem::Reshape(geom->normal.Read(), quad1D, quad1D, dim, nf);
auto detJ = mfem::Reshape(geom->detJ.Read(), quad1D, quad1D, nf);
const double *w = ir->GetWeights().Read();
const double *vel_ptr;
if (type == FaceType::Interior) { vel_ptr = IntVelocity.Read(); }
if (type == FaceType::Boundary) { vel_ptr = BdryVelocity.Read(); }
auto vel = mfem::Reshape(vel_ptr, dim, quad1D, quad1D, nf);
const int execMode = (int) assembly.GetExecMode();
if (type == FaceType::Interior)
{
D_int.SetSize(quad1D*quad1D*2*nf);
auto D = mfem::Reshape(D_int.Write(), quad1D, quad1D, 2, nf);
auto int_weights = mfem::Reshape(w, quad1D, quad1D);
MFEM_FORALL(f, nf,
{
for (int f_side=0; f_side<2; ++f_side)
{
for (int k2 = 0; k2 < quad1D; ++k2)
{
for (int k1 = 0; k1 < quad1D; ++k1)
{
int direction = 1 - 2*f_side;
double vvalnor =
vel(0, k1, k2, f)*direction*n(k1, k2, 0, f) +
vel(1, k1, k2, f)*direction*n(k1, k2, 1, f) +
vel(2, k1, k2, f)*direction*n(k1, k2, 2, f);
if (execMode == 0)
{
vvalnor = fmin(0., vvalnor); //advection
}
else
{
vvalnor = -fmax(0., vvalnor);
}
double t_vn = vvalnor* int_weights(k1,k2) * detJ(k1, k2, f);
D(k1, k2, f_side, f) = -t_vn;
}//k1
}//k2
}//f_side
});
}//interior
//boundary
if (type == FaceType::Boundary)
{
D_bdry.SetSize(quad1D*quad1D*nf);
auto D = mfem::Reshape(D_bdry.Write(), quad1D, quad1D, nf);
auto int_weights = mfem::Reshape(w, quad1D, quad1D);
MFEM_FORALL(f, nf,
{
for (int k2 = 0; k2 < quad1D; ++k2)
{
for (int k1 = 0; k1 < quad1D; ++k1)
{
double vvalnor =
vel(0, k1, k2, f)*n(k1, k2, 0, f) +
vel(1, k1, k2, f)*n(k1, k2, 1, f) +
vel(2, k1, k2, f)*n(k1, k2, 2, f);
if (execMode == 0)
{
vvalnor = fmin(0., vvalnor); //advection
}
else
{
vvalnor = -fmax(0., vvalnor);
}
double t_vn = vvalnor* int_weights(k1,k2) * detJ(k1, k2, f);
D(k1, k2, f) = -t_vn;
}//k2
}//k1
});
}//bdry
}
void PAResidualDistribution::ApplyFaceTerms(const Vector &x, Vector &y,
FaceType type) const
{
Mesh *mesh = pfes.GetMesh();
int dim = mesh->Dimension();
if (dim == 2) { return ApplyFaceTerms2D(x, y, type); }
if (dim == 3) { return ApplyFaceTerms3D(x, y, type); }
}
void PAResidualDistribution::ApplyFaceTerms2D(const Vector &x, Vector &y,
FaceType type) const
{
const int Q1D = quad1D;
const int D1D = dofs1D;
const int nf = pfes.GetNFbyType(type);
const FaceRestriction * face_restrict_lex = nullptr;
const IntegrationRule *ir = assembly.lom.irF;
const FiniteElement &el_trace =
*pfes.GetTraceElement(0, pfes.GetMesh()->GetFaceGeometry(0));
const DofToQuad *maps = &el_trace.GetDofToQuad(*ir, DofToQuad::TENSOR);
auto B = mfem::Reshape(maps->B.Read(), quad1D, dofs1D);
if (type == FaceType::Interior)
{
face_restrict_lex =
pfes.GetFaceRestriction(ElementDofOrdering::LEXICOGRAPHIC,type);
Vector x_loc(face_restrict_lex->Height());
Vector y_loc(face_restrict_lex->Height());
//Currently all ranks must call Mult
face_restrict_lex->Mult(x, x_loc);
if (nf == 0 ) { return; }
y_loc = 0.0;
auto X = mfem::Reshape(x_loc.Read(), dofs1D, 2, nf);
auto Y = mfem::Reshape(y_loc.ReadWrite(), dofs1D, 2, nf);
auto D = mfem::Reshape(D_int.Read(), quad1D, 2, nf);
MFEM_FORALL(f, nf,
{
constexpr int max_Q1D = MAX_Q1D;
double Bu0[max_Q1D];
double Bu1[max_Q1D];
for (int q=0; q<Q1D; ++q)
{
Bu0[q] = 0.0;
Bu1[q] = 0.0;
//we are lumping the terms
for (int d=0; d < D1D; ++d)
{
Bu0[q] += B(q,d) * 1.0;
Bu1[q] += B(q,d) * 1.0;
}
}
//Scale with quadrature data
double DBu0[max_Q1D];
double DBu1[max_Q1D];
for (int q=0; q<Q1D; ++q)
{
DBu0[q] = Bu0[q] * D(q, 0, f);
DBu1[q] = Bu1[q] * D(q, 1, f);
}
//Apply Bt
for (int d=0; d<D1D; ++d)
{
double res0(0.0), res1(0.0);
for (int q=0; q<Q1D; ++q)
{
res0 += B(q,d) * DBu0[q];
res1 += B(q,d) * DBu1[q];
}
Y(d, 0, f) = res0 * (X(d,1,f) - X(d,0,f));
Y(d, 1, f) = res1 * (X(d,0,f) - X(d,1,f));
}
});
face_restrict_lex->AddMultTranspose(y_loc,y);
}
if (type == FaceType::Boundary)
{
face_restrict_lex =
pfes.GetFaceRestriction(ElementDofOrdering::LEXICOGRAPHIC,type,
L2FaceValues::SingleValued);
Vector x_loc(face_restrict_lex->Height());
Vector y_loc(face_restrict_lex->Height());
//Currently all ranks must call Mult
face_restrict_lex->Mult(x, x_loc);
if (nf == 0 ) { return; }
y_loc = 0.0;
auto X = mfem::Reshape(x_loc.Read(), dofs1D, nf);
auto Y = mfem::Reshape(y_loc.ReadWrite(), dofs1D, nf);
auto D = mfem::Reshape(D_bdry.Read(), quad1D, nf);
MFEM_FORALL(f, nf,
{
constexpr int max_Q1D = MAX_Q1D;
double Bu0[max_Q1D];
for (int q=0; q<Q1D; ++q)
{
Bu0[q] = 0.0;
//we are lumping the terms
for (int d=0; d < D1D; ++d)
{
Bu0[q] += B(q,d) * 1.0;
}
}
//Scale with quadrature data
double DBu0[max_Q1D];
for (int q=0; q<Q1D; ++q)
{
DBu0[q] = Bu0[q] * D(q, f);
}
//Apply Bt
for (int d=0; d<D1D; ++d)
{
double res0(0.0);
for (int q=0; q<Q1D; ++q)
{
res0 += B(q,d) * DBu0[q];
}
Y(d, f) = -res0 * X(d,f);
}
});
face_restrict_lex->AddMultTranspose(y_loc,y);
}
}
void PAResidualDistribution::ApplyFaceTerms3D(const Vector &x, Vector &y,
FaceType type) const
{
const int Q1D = quad1D;
const int D1D = dofs1D;
const int nf = pfes.GetNFbyType(type);
const FaceRestriction * face_restrict_lex = nullptr;
const IntegrationRule *ir = assembly.lom.irF;
const FiniteElement &el_trace =
*pfes.GetTraceElement(0, pfes.GetMesh()->GetFaceGeometry(0));
const DofToQuad *maps = &el_trace.GetDofToQuad(*ir, DofToQuad::TENSOR);
auto B = mfem::Reshape(maps->B.Read(), quad1D, dofs1D);
if (type == FaceType::Interior)
{
face_restrict_lex =
pfes.GetFaceRestriction(ElementDofOrdering::LEXICOGRAPHIC,type);
Vector x_loc(face_restrict_lex->Height());
Vector y_loc(face_restrict_lex->Height());
//Currently all ranks must call Mult
face_restrict_lex->Mult(x, x_loc);
if (nf == 0 ) { return; }
y_loc = 0.0;
auto X = mfem::Reshape(x_loc.Read(), dofs1D, dofs1D, 2, nf);
auto Y = mfem::Reshape(y_loc.ReadWrite(), dofs1D, dofs1D, 2, nf);
auto D = mfem::Reshape(D_int.Read(), quad1D, quad1D, 2, nf);
MFEM_FORALL(f, nf,
{
constexpr int max_Q1D = MAX_Q1D;
constexpr int max_D1D = MAX_D1D;
double BX0[max_Q1D][max_D1D];
double BX1[max_Q1D][max_D1D];
for (int k2=0; k2<Q1D; ++k2)
{
for (int i1=0; i1<D1D; ++i1)
{
double res0(0), res1(0);
for (int i2=0; i2<D1D; ++i2)
{
res0 += B(k2,i2)*1.0;
res1 += B(k2,i2)*1.0;
}
BX0[k2][i1] = res0;
BX1[k2][i1] = res1;
}
}
double BBX0[max_Q1D][max_Q1D];
double BBX1[max_Q1D][max_Q1D];
for (int k2=0; k2<Q1D; ++k2)
{
for (int k1=0; k1<Q1D; ++k1)
{
double res0(0.0), res1(0.0);
for (int i1=0; i1<D1D; ++i1)
{
res0 += B(k1,i1)*BX0[k2][i1];
res1 += B(k1,i1)*BX1[k2][i1];
}
BBX0[k2][k1] = res0 * D(k1, k2, 0, f);
BBX1[k2][k1] = res1 * D(k1, k2, 1, f);
}
}
double BDBBX0[max_D1D][max_Q1D];
double BDBBX1[max_D1D][max_Q1D];
for (int j2=0; j2<D1D; ++j2)
{
for (int k1=0; k1<Q1D; ++k1)
{
double res0(0.0), res1(0.0);
for (int k2=0; k2<Q1D; ++k2)
{
res0 += B(k2, j2) * BBX0[k2][k1];
res1 += B(k2, j2) * BBX1[k2][k1];
}
BDBBX0[j2][k1] = res0;
BDBBX1[j2][k1] = res1;
}
}
for (int j2=0; j2<D1D; ++j2)
{
for (int j1=0; j1<D1D; ++j1)
{
double res0(0.0), res1(0.0);
for (int k1=0; k1<Q1D; ++k1)
{
res0 += B(k1, j1) * BDBBX0[j2][k1];
res1 += B(k1, j1) * BDBBX1[j2][k1];
}
Y(j1, j2, 0, f) = res0 * (X(j1,j2,1,f) - X(j1,j2,0,f));
Y(j1, j2, 1, f) = res1 * (X(j1,j2,0,f) - X(j1,j2,1,f));
}
}
});
face_restrict_lex->AddMultTranspose(y_loc,y);
}
if (type == FaceType::Boundary)
{
face_restrict_lex =
pfes.GetFaceRestriction(ElementDofOrdering::LEXICOGRAPHIC,type,
L2FaceValues::SingleValued);
Vector x_loc(face_restrict_lex->Height());
Vector y_loc(face_restrict_lex->Height());
//Currently all ranks must call Mult
face_restrict_lex->Mult(x, x_loc);
if (nf == 0 ) { return; }
y_loc = 0.0;
auto X = mfem::Reshape(x_loc.Read(), dofs1D, dofs1D, nf);
auto Y = mfem::Reshape(y_loc.ReadWrite(), dofs1D, dofs1D, nf);
auto D = mfem::Reshape(D_bdry.Read(), quad1D, quad1D, nf);
MFEM_FORALL(f, nf,
{
constexpr int max_Q1D = MAX_Q1D;
constexpr int max_D1D = MAX_D1D;
double BX0[max_Q1D][max_D1D];
for (int k2=0; k2<Q1D; ++k2)
{
for (int i1=0; i1<D1D; ++i1)
{
double res0(0);
for (int i2=0; i2<D1D; ++i2)
{
res0 += B(k2,i2)*1.0;
}
BX0[k2][i1] = res0;
}
}
double BBX0[max_Q1D][max_Q1D];
for (int k2=0; k2<Q1D; ++k2)
{
for (int k1=0; k1<Q1D; ++k1)
{
double res0(0.0);
for (int i1=0; i1<D1D; ++i1)
{
res0 += B(k1,i1)*BX0[k2][i1];
}
BBX0[k2][k1] = res0 * D(k1, k2, f);
}
}
double BDBBX0[max_D1D][max_Q1D];
for (int j2=0; j2<D1D; ++j2)
{
for (int k1=0; k1<Q1D; ++k1)
{
double res0(0.0);
for (int k2=0; k2<Q1D; ++k2)
{
res0 += B(k2, j2) * BBX0[k2][k1];
}
BDBBX0[j2][k1] = res0;
}
}
for (int j2=0; j2<D1D; ++j2)
{
for (int j1=0; j1<D1D; ++j1)
{
double res0(0.0);
for (int k1=0; k1<Q1D; ++k1)
{
res0 += B(k1, j1) * BDBBX0[j2][k1];
}
Y(j1, j2, f) = -res0 * X(j1,j2,f);
}
}
});
face_restrict_lex->AddMultTranspose(y_loc,y);
}
}
void PAResidualDistribution::CalcLOSolution(const Vector &u, Vector &du) const
{
const int ndof = pfes.GetFE(0)->GetDof();
const int ne = pfes.GetMesh()->GetNE();
Vector z(u.Size());
const double eps = 1.E-15;
const double infinity = numeric_limits<double>::infinity();
// Discretization terms
du.UseDevice(true);
du = 0.;
//z = Conv * u
K.Mult(u, z);
ParGridFunction u_gf(&pfes);
u_gf = u;
u_gf.ExchangeFaceNbrData();
ApplyFaceTerms(u, du, FaceType::Interior);
ApplyFaceTerms(u, du, FaceType::Boundary);
//initialize to infinity
assembly.dofs.xe_min = infinity;
assembly.dofs.xe_max = -infinity;
double *xe_min = assembly.dofs.xe_min.ReadWrite();
double *xe_max = assembly.dofs.xe_max.ReadWrite();
const double *d_u = u.Read();
const double *d_z = z.Read();
const double *d_M_lumped = M_lumped.Read();
double *d_du = du.ReadWrite();
MFEM_FORALL(k, ne,
{
// Boundary contributions - stored in du
// done before this loop
// Element contributions
double rhoP(0.), rhoN(0.), xSum(0.);
for (int j = 0; j < ndof; ++j)
{
int dof_id = k*ndof+j;
xe_max[k] = max(xe_max[k], d_u[dof_id]);
xe_min[k] = min(xe_min[k], d_u[dof_id]);
xSum += d_u[dof_id];
rhoP += max(0., d_z[dof_id]);