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Commit 6cdbdb13 authored by Lukas Riedel's avatar Lukas Riedel 🎧
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Added option to change upwinding in local operator 

**Note: This only affects the skeleton not the boundary term!**
Upwinding can now be turned off (`none`)
or set to full upwinding (`fullUpwind`).
Removed 'weights' option.
parent d760a799
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Showing with 91 additions and 29 deletions
dune/dorie/solver/operator_DG.hh
View file @ 6cdbdb13
......@@ -25,12 +25,14 @@ struct RichardsDGMethod
};
};
//! Weighting at grid interface for DG method
struct RichardsDGWeights
//! Upwinding type
struct RichardsDGUpwinding
{
enum Type { weightsOn, //!< Use saturated conductivities at interface for weighting (default)
weightsOff //!< No weighting
};
enum Type {
fullUpwind, //!< Upwind flux and conductiviy
semiUpwind, //!< Only upwind conductivity factor
none //!< No upwinding
};
};
//! Operator internal BC handling
......@@ -85,8 +87,8 @@ protected:
const Parameter& param; //!< class providing equation parameters
const Boundary& boundary; //!< class providing boundary conditions
const SourceTerm& sourceTerm; //!< class providing source term information
const RichardsDGMethod::Type method; //!< Interior penalty type
const RichardsDGWeights::Type weights; //!< DG method weights switch
RichardsDGMethod::Type method; //!< Interior penalty type
RichardsDGUpwinding::Type upwinding; //!< DG method weights switch
const Mapper mapper; //!< maps grid elements (cells) to natural numbers
const int intorderadd; //!< integration order addend
......@@ -125,12 +127,12 @@ public:
RichardsDGSpatialOperator (const Dune::ParameterTree& config, const Parameter& param_, const GridView view_,
Boundary& boundary_, const SourceTerm& sourceTerm_,
RichardsDGMethod::Type method_ = RichardsDGMethod::SIPG,
RichardsDGWeights::Type weights_ = RichardsDGWeights::weightsOn,
RichardsDGUpwinding::Type upwinding_ = RichardsDGUpwinding::semiUpwind,
int intorderadd_ = 2, int quadrature_factor_ = 2)
: Dune::PDELab::NumericalJacobianVolume<RichardsDGSpatialOperator<Traits,Parameter,Boundary,SourceTerm,FEM,adjoint> >(1.e-7),
Dune::PDELab::NumericalJacobianSkeleton<RichardsDGSpatialOperator<Traits,Parameter,Boundary,SourceTerm,FEM,adjoint> >(1.e-7),
Dune::PDELab::NumericalJacobianBoundary<RichardsDGSpatialOperator<Traits,Parameter,Boundary,SourceTerm,FEM,adjoint> >(1.e-7),
param(param_), boundary(boundary_), sourceTerm(sourceTerm_), method(method_), weights(weights_), mapper(view_),
param(param_), boundary(boundary_), sourceTerm(sourceTerm_), method(method_), upwinding(upwinding_), mapper(view_),
intorderadd(intorderadd_), quadrature_factor(quadrature_factor_),
penalty_factor(config.get<RF>("dg.penaltyFactor")),
time(0.0),
......@@ -313,13 +315,30 @@ public:
// compute jump in solution
const RF jump = u_s - u_n;
// conductivity at saturation
// saturated conductivity (including Miller scaling)
const RF satCond_s = param.condRefToMiller(param.K(p_global_s), p_global_s);
const RF satCond_n = param.condRefToMiller(param.K(p_global_n), p_global_n);
// conductivity factor
const RF head_s = param.headMillerToRef(u_s, p_global_s);
const RF saturation_s = param.saturation(head_s, p_global_s);
const RF relCond_s = param.condFactor(saturation_s, p_global_s);
const RF head_n = param.headMillerToRef(u_n, p_global_n);
const RF saturation_n = param.saturation(head_n, p_global_n);
const RF relCond_n = param.condFactor(saturation_n, p_global_n);
// compute weights
RF omega_s = 0.5, omega_n = 0.5;
if(weights == RichardsDGWeights::weightsOn)
if (upwinding == RichardsDGUpwinding::none
|| upwinding == RichardsDGUpwinding::fullUpwind)
{
omega_s = relCond_n * satCond_n
/ ((relCond_s * satCond_s) + (relCond_n * satCond_n));
omega_n = relCond_s * satCond_s
/ ((relCond_s * satCond_s) + (relCond_n * satCond_n));
}
else if (upwinding == RichardsDGUpwinding::semiUpwind)
{
omega_s = satCond_n / (satCond_s + satCond_n);
omega_n = satCond_s / (satCond_s + satCond_n);
......@@ -331,21 +350,47 @@ public:
const RF penalty = penalty_factor / h_F * degree * (degree + dim - 1);
// compute numerical flux
const RF numFlux_s = satCond_s * ( - (gradu_s * normal) + penalty * jump);
const RF numFlux_n = satCond_n * ( - (gradu_n * normal) + penalty * jump);
const RF numFlux = omega_s * numFlux_s + omega_n * numFlux_n;
RF numFlux_s = satCond_s * ( - (gradu_s * normal) + penalty * jump);
RF numFlux_n = satCond_n * ( - (gradu_n * normal) + penalty * jump);
if (upwinding == RichardsDGUpwinding::none
|| upwinding == RichardsDGUpwinding::fullUpwind)
{
numFlux_s *= relCond_s;
numFlux_n *= relCond_n;
}
const RF numFlux = omega_s * numFlux_s + omega_n * numFlux_n;
// compute upwind conductivity factor
RF relCond_upwind;
if (numFlux > 0) {
const RF head_upwind = param.headMillerToRef(u_s, p_global_s);
const RF saturation_upwind = param.saturation(head_upwind, p_global_s);
relCond_upwind = param.condFactor(saturation_upwind, p_global_s);
RF relCond_upwind = 1.0;
if (upwinding == RichardsDGUpwinding::semiUpwind
|| upwinding == RichardsDGUpwinding::fullUpwind)
{
if (numFlux > 0)
{
const RF head_upwind = param.headMillerToRef(u_s, p_global_s);
const RF saturation_upwind = param.saturation(head_upwind, p_global_s);
relCond_upwind = param.condFactor(saturation_upwind, p_global_s);
}
else
{
const RF head_upwind = param.headMillerToRef(u_n, p_global_n);
const RF saturation_upwind = param.saturation(head_upwind, p_global_n);
relCond_upwind = param.condFactor(saturation_upwind, p_global_n);
}
}
else {
const RF head_upwind = param.headMillerToRef(u_n, p_global_n);
const RF saturation_upwind = param.saturation(head_upwind, p_global_n);
relCond_upwind = param.condFactor(saturation_upwind, p_global_n);
// compute upwind flux
RF numFlux_upwind = numFlux;
RF satCond_upwind;
if (upwinding == RichardsDGUpwinding::fullUpwind) {
if (numFlux > 0) {
numFlux_upwind = numFlux_s;
satCond_upwind = satCond_s;
}
else {
numFlux_upwind = numFlux_n;
satCond_upwind = satCond_n;
}
}
// update residual (flux term)
......@@ -353,17 +398,34 @@ public:
// consistency term
// + penalty term
for (unsigned int i = 0; i<lfsv_s.size(); i++)
r_s.accumulate(lfsv_s,i, relCond_upwind * numFlux * phi_s[i] * factor);
r_s.accumulate(lfsv_s,i, relCond_upwind * numFlux_upwind * phi_s[i] * factor);
for (unsigned int i = 0; i<lfsv_n.size(); i++)
r_n.accumulate(lfsv_n,i, - relCond_upwind * numFlux * phi_n[i] * factor);
r_n.accumulate(lfsv_n,i, - relCond_upwind * numFlux_upwind * phi_n[i] * factor);
// update residual (symmetry term)
// (non-)symmetric IP term
// symmetry term
for (unsigned int i = 0; i<lfsv_s.size(); i++)
r_s.accumulate(lfsv_s,i, theta * omega_s * (tgradphi_s[i] * normal) * relCond_upwind * satCond_s * jump * factor);
for (unsigned int i = 0; i<lfsv_n.size(); i++)
r_n.accumulate(lfsv_n,i, theta * omega_n * (tgradphi_n[i] * normal) * relCond_upwind * satCond_n * jump * factor);
if (upwinding == RichardsDGUpwinding::none)
{
for (unsigned int i = 0; i < lfsv_s.size(); i++)
r_s.accumulate(lfsv_s, i, theta * omega_s * (tgradphi_s[i] * normal) * relCond_s * satCond_s * jump * factor);
for (unsigned int i = 0; i < lfsv_n.size(); i++)
r_n.accumulate(lfsv_n, i, theta * omega_n * (tgradphi_n[i] * normal) * relCond_n * satCond_n * jump * factor);
}
else if (upwinding == RichardsDGUpwinding::semiUpwind)
{
for (unsigned int i = 0; i<lfsv_s.size(); i++)
r_s.accumulate(lfsv_s,i, theta * omega_s * (tgradphi_s[i] * normal) * relCond_upwind * satCond_s * jump * factor);
for (unsigned int i = 0; i<lfsv_n.size(); i++)
r_n.accumulate(lfsv_n,i, theta * omega_n * (tgradphi_n[i] * normal) * relCond_upwind * satCond_n * jump * factor);
}
else if (upwinding == RichardsDGUpwinding::fullUpwind)
{
for (unsigned int i = 0; i < lfsv_s.size(); i++)
r_s.accumulate(lfsv_s, i, theta * (tgradphi_s[i] * normal) * relCond_upwind * satCond_upwind * jump * factor);
for (unsigned int i = 0; i < lfsv_n.size(); i++)
r_n.accumulate(lfsv_n, i, theta * (tgradphi_n[i] * normal) * relCond_upwind * satCond_upwind * jump * factor);
}
}
}
......
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