/usr/include/dune/pdelab/localoperator/stokesparameter.hh is in libdune-pdelab-dev 2.5.0~20170124g7cf9f47a-1.
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#define DUNE_PDELAB_LOCALOPERATOR_STOKESPARAMETER_HH
#include <dune/common/parametertree.hh>
#include <dune/pdelab/common/function.hh>
#include <dune/pdelab/constraints/common/constraintsparameters.hh>
namespace Dune {
namespace PDELab {
/**
* These are the boundary condition types as to be returned by
* the employed boundary type function.
*
* Possible types:
*
* <ul>
*
* <li>\a DoNothing : No boundary conditions.
*
* <li>\a VelocityDirichlet : Dirichlet conditions for velocity.
*
* <li>\a StressNeumann : Natural Neumann conditions for the
* impulse flux. These are equivalent to a fixed pressure
* condition \b if \f$ \forall i : n \cdot \nabla v_i = 0 \f$.
*
* <li>\a SlipVelocity : Smooth transition between slip and no-slip
* condition - only works for DG!
*
* </ul>
*/
struct StokesBoundaryCondition {
enum Type {
DoNothing = 0,
VelocityDirichlet = 1,
StressNeumann = 2,
SlipVelocity = 3
};
};
/**
* Traits class for the parameter class of a Navier-Stokes local operator.
*/
template<typename GV, typename RF>
struct NavierStokesParameterTraits
{
//! \brief the grid view
typedef GV GridView;
//! \brief Enum for domain dimension
enum {
//! \brief dimension of the domain
dimDomain = GV::dimension
};
//! \brief Export type for domain field
typedef typename GV::Grid::ctype DomainField;
//! \brief domain type
typedef Dune::FieldVector<DomainField,dimDomain> Domain;
//! \brief domain type
typedef Dune::FieldVector<DomainField,dimDomain-1> IntersectionDomain;
//! \brief Export type for range field
typedef RF RangeField;
//! \brief deformation range type
typedef Dune::FieldVector<RF,GV::dimensionworld> VelocityRange;
//! \brief pressure range type
typedef Dune::FieldVector<RF,1> PressureRange;
//! \brief boundary type value
typedef StokesBoundaryCondition BoundaryCondition;
//! \brief grid element type
typedef typename GV::Traits::template Codim<0>::Entity Element;
//! \brief grid intersection type
typedef typename GV::Intersection Intersection;
};
namespace {
/**
* Compile-time switch allowing the evaluation of a
* vector valued grid function.
*/
template<typename GF, typename Entity, typename Domain>
typename GF::Traits::RangeType
evaluateVelocityGridFunction(const GF& gf,
const Entity& e,
const Domain& x)
{
static_assert(int(GF::Traits::dimRange) == int(Domain::dimension),"dimension of function range does not match grid dimension");
typename GF::Traits::RangeType y;
gf.evaluate(e,x,y);
return y;
}
/**
* Compile-time switch allowing the evaluation of a
* power grid function.
*/
template<typename GF, typename Entity, typename Domain>
FieldVector<typename GF::template Child<0>::Type::Traits::RangeFieldType,TypeTree::StaticDegree<GF>::value>
evaluateVelocityGridFunction(const GF& gf,
const Entity& e,
const Domain& x)
{
static_assert(Domain::dimension == TypeTree::StaticDegree<GF>::value,"dimension of function range does not match grid dimension");
FieldVector<typename GF::template Child<0>::Type::Traits::RangeFieldType,TypeTree::StaticDegree<GF>::value> y;
typename GF::template Child<0>::Type::Traits::RangeType cy;
for (int d = 0; d < Domain::dimension; ++d)
{
gf.child(d).evaluate(e,x,cy);
y[d] = cy;
}
return y;
}
}
/**
* Default implementation for the parameter class to be
* used with the Taylor-Hood Navier-Stokes local operator.
*
* This is designed to work with the TaylorHoodNavierStokes,
* TaylorHoodNavierStokesJacobian and NavierStokesMass local
* operator classes.
*
* \tparam GV GridView.
* \tparam RF The range field type of the Navier-Stokes solution.
* \tparam F External force term function (vector-valued).
* \tparam B Boundary type function returning an element
* of StokesBoundaryCondition.
* \tparam V Dirichlet velocity function.
* \tparam J Neumann stress boundary function (vector- or scalar-valued).
* Scalar values will be interpreted as the magnitude of a vector
* oriented in outer normal direction.
*/
template <typename GV, typename RF, typename F, typename B, typename V, typename J, bool navier = false, bool tensor = false>
class NavierStokesDefaultParameters
{
public:
static const bool assemble_navier = navier;
static const bool assemble_full_tensor = tensor;
//! Type traits
typedef NavierStokesParameterTraits<GV,RF> Traits;
//! Constructor
NavierStokesDefaultParameters(const Dune::ParameterTree& config,
F& f,
B& b,
V& v,
J& j)
: _rho(config.get<RF>("rho"))
, _mu(config.get<RF>("mu"))
, _f(f)
, _b(b)
, _v(v)
, _j(j)
{}
NavierStokesDefaultParameters(const RF& mu,
const RF& rho,
F& f,
B& b,
V& v,
J& j)
: _rho(rho)
, _mu(mu)
, _f(f)
, _b(b)
, _v(v)
, _j(j)
{}
//! source term
template<typename EG>
typename Traits::VelocityRange
f(const EG& e, const typename Traits::Domain& x) const
{
typename F::Traits::RangeType fvalue;
return evaluateVelocityGridFunction(_f,e,x);
}
//! boundary condition type from local intersection coordinate
template<typename IG>
typename Traits::BoundaryCondition::Type
bctype(const IG& is,
const typename Traits::IntersectionDomain& x) const
{
typename B::Traits::RangeType y;
_b.evaluate(is,x,y);
return y;
}
//! Dynamic viscosity value from local cell coordinate
template<typename EG>
typename Traits::RangeField
mu(const EG& e, const typename Traits::Domain& x) const
{
return _mu;
}
//! Dynamic viscosity value from local intersection coordinate
template<typename IG>
typename Traits::RangeField
mu(const IG& ig, const typename Traits::IntersectionDomain& x) const
{
return _mu;
}
//! Density value from local cell coordinate
template<typename EG>
typename Traits::RangeField
rho(const EG& eg, const typename Traits::Domain& x) const
{
return _rho;
}
//! Density value from local intersection coordinate
template<typename IG>
typename Traits::RangeField
rho(const IG& ig, const typename Traits::IntersectionDomain& x) const
{
return _rho;
}
//! Dirichlet boundary condition value from local cell coordinate
template<typename EG>
typename Traits::VelocityRange
g(const EG& e, const typename Traits::Domain& x) const
{
typename V::Traits::RangeType y;
_v.evaluate(e,x,y);
return y;
}
//! pressure source term
template<typename EG>
typename Traits::RangeField
g2(const EG& e, const typename Traits::Domain& x) const
{
return 0;
}
#ifdef DOXYGEN
//! Neumann boundary condition (stress)
template<typename IG>
typename Traits::VelocityRange>
j(const IG& ig,
const typename Traits::IntersectionDomain& x,
const typename Traits::Domain& normal) const;
#else // DOXYGEN
//! Neumann boundary condition (stress) - version for scalar function
template<typename IG>
typename std::enable_if<
J::Traits::dimRange == 1 &&
(GV::dimension > 1) &&
AlwaysTrue<IG>::value, // required to force lazy evaluation
typename Traits::VelocityRange
>::type
j(const IG& ig,
const typename Traits::IntersectionDomain& x,
typename Traits::Domain normal) const
{
typename J::Traits::RangeType r;
auto e = ig.inside();
_j.evaluate(e,ig.geometryInInside().global(x),r);
normal *= r;
return normal;
}
//! Neumann boundary condition (stress) - version for vector-valued function
template<typename IG>
typename std::enable_if<
J::Traits::dimRange == GV::dimension &&
AlwaysTrue<IG>::value, // required to force lazy evaluation
typename Traits::VelocityRange
>::type
j(const IG& ig,
const typename Traits::IntersectionDomain& x,
const typename Traits::Domain& normal) const
{
auto e = ig.inside();
typename J::Traits::RangeType y;
_j.evaluate(e,ig.geometryInInside().global(x),y);
return y;
}
#endif // DOXYGEN
void setTime(RF time)
{
_f.setTime(time);
_b.setTime(time);
_v.setTime(time);
_j.setTime(time);
}
private:
const RF _rho;
const RF _mu;
F& _f;
B& _b;
V& _v;
J& _j;
};
/**
* Stokes velocity boundary constraints function
*/
template<typename PRM>
class StokesVelocityDirichletConstraints
: public Dune::PDELab::DirichletConstraintsParameters
{
private:
const PRM & prm_;
public:
/** \brief Constructor */
StokesVelocityDirichletConstraints (const PRM & _prm)
: prm_(_prm) { }
/** Predicate identifying Dirichlet boundaries for velocity. */
template<typename I>
bool isDirichlet(const I & intersection,
const Dune::FieldVector<typename I::ctype, I::dimension-1> & coord) const
{
StokesBoundaryCondition::Type bctype = prm_.bctype(intersection,coord);
return (bctype == StokesBoundaryCondition::VelocityDirichlet);
}
};
/**
* Stokes pressure boundary constraints function
*/
template<typename PRM>
class StokesPressureDirichletConstraints
: public Dune::PDELab::DirichletConstraintsParameters
{
private:
const PRM & prm_;
public:
/** \brief Constructor */
StokesPressureDirichletConstraints (const PRM & _prm)
: prm_(_prm) { }
/** Predicate identifying Dirichlet boundaries for velocity. */
template<typename I>
bool isDirichlet(const I & intersection,
const Dune::FieldVector<typename I::ctype, I::dimension-1> & coord) const
{ return false; }
};
#ifndef DOXYGEN
/**
* Common base class for NavierStokesParameters -> GridFunction adapters.
*/
template<typename PRM, int rangeDim>
class NavierStokesFunctionAdapterBase
: public Dune::PDELab::GridFunctionBase<
Dune::PDELab::GridFunctionTraits<
typename PRM::Traits::GridView,
typename PRM::Traits::RangeField,
rangeDim,
Dune::FieldVector<typename PRM::Traits::RangeField,rangeDim>
>,
NavierStokesFunctionAdapterBase<PRM,rangeDim>
>
{
public:
//! Traits class
typedef Dune::PDELab::GridFunctionTraits<
typename PRM::Traits::GridView,
typename PRM::Traits::RangeField,
rangeDim,
Dune::FieldVector<typename PRM::Traits::RangeField,rangeDim>
> Traits;
//! Constructor
NavierStokesFunctionAdapterBase(PRM& prm)
: _prm(prm)
{}
void setTime(const double time)
{
_prm.setTime(time);
}
const PRM& parameters() const
{
return _prm;
}
//! Access to underlying grid view
const typename Traits::GridViewType& getGridView () const
{
return _prm.gridView();
}
private:
PRM& _prm;
};
#endif // DOXYGEN
/**
* Adapter that extracts force density Dirichlet boundary
* conditions from parameter class
*
* \tparam PRM Model of NavierStokesDefaultParameters
*/
template<typename PRM>
class NavierStokesVelocityFunctionAdapter
: public NavierStokesFunctionAdapterBase<PRM,PRM::Traits::dimDomain>
{
//! Base class
typedef NavierStokesFunctionAdapterBase<PRM,PRM::Traits::dimDomain> Base;
using Base::parameters;
public:
typedef typename Base::Traits Traits;
//! Constructor
NavierStokesVelocityFunctionAdapter(PRM& prm)
: Base(prm)
{}
//! Evaluate dirichlet function
void evaluate (const typename Traits::ElementType& e,
const typename Traits::DomainType& x,
typename Traits::RangeType& y) const
{
y = parameters().g(e,x);
}
};
#if 0
/** \brief Factory for a Dirichlet function which can be used
for interpolation. */
template < typename PRM >
class NavierStokesDirichletFunctionAdapterFactory
{
public:
typedef Dune::PDELab::CompositeGridFunction<
NavierStokesDirichletFunctionAdapter<PRM>,
NavierStokesPressureDirichletFunctionAdapter<PRM> >
BoundaryDirichletFunction;
NavierStokesDirichletFunctionAdapterFactory(PRM & prm)
: v(prm), p(prm), df(v,p)
{}
BoundaryDirichletFunction & dirichletFunction()
{
return df;
}
private:
NavierStokesVelocityDirichletFunctionAdapter<PRM> v;
NavierStokesPressureDirichletFunctionAdapter<PRM> p;
BoundaryDirichletFunction df;
};
#endif
} // end namespace PDELab
} // end namespace Dune
#endif // DUNE_PDELAB_LOCALOPERATOR_STOKESPARAMETER_HH
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