NewtonianEuler::BoundaryConditions::Reflection< Dim > Class Template Reference

Reflecting boundary conditions for Newtonian hydrodynamics. More...

#include <Reflection.hpp>

Public Types
using	options = implementation defined
using	dg_interior_evolved_variables_tags = implementation defined
using	dg_interior_temporary_tags = implementation defined
using	dg_interior_primitive_variables_tags = implementation defined
using	dg_gridless_tags = implementation defined

Public Member Functions
	Reflection (Reflection &&)=default
Reflection &	operator= (Reflection &&)=default
	Reflection (const Reflection &)=default
Reflection &	operator= (const Reflection &)=default
	Reflection (CkMigrateMessage *msg)
	WRAPPED_PUPable_decl_base_template (domain::BoundaryConditions::BoundaryCondition, Reflection)
auto	get_clone () const -> std::unique_ptr< domain::BoundaryConditions::BoundaryCondition > override
void	pup (PUP::er &p) override
std::optional< std::string >	dg_ghost (gsl::not_null< Scalar< DataVector > * > mass_density, gsl::not_null< tnsr::I< DataVector, Dim, Frame::Inertial > * > momentum_density, gsl::not_null< Scalar< DataVector > * > energy_density, gsl::not_null< tnsr::I< DataVector, Dim, Frame::Inertial > * > flux_mass_density, gsl::not_null< tnsr::IJ< DataVector, Dim, Frame::Inertial > * > flux_momentum_density, gsl::not_null< tnsr::I< DataVector, Dim, Frame::Inertial > * > flux_energy_density, gsl::not_null< tnsr::I< DataVector, Dim, Frame::Inertial > * > velocity, gsl::not_null< Scalar< DataVector > * > specific_internal_energy, const std::optional< tnsr::I< DataVector, Dim, Frame::Inertial > > &face_mesh_velocity, const tnsr::i< DataVector, Dim, Frame::Inertial > &outward_directed_normal_covector, const Scalar< DataVector > &interior_mass_desity, const tnsr::I< DataVector, Dim, Frame::Inertial > &interior_velocity, const Scalar< DataVector > &interior_specific_internal_energy, const Scalar< DataVector > &interior_pressure) const
Public Member Functions inherited from NewtonianEuler::BoundaryConditions::BoundaryCondition< Dim >
	BoundaryCondition (BoundaryCondition &&)=default
BoundaryCondition &	operator= (BoundaryCondition &&)=default
	BoundaryCondition (const BoundaryCondition &)=default
BoundaryCondition &	operator= (const BoundaryCondition &)=default
	BoundaryCondition (CkMigrateMessage *msg)
void	pup (PUP::er &p) override
Public Member Functions inherited from domain::BoundaryConditions::BoundaryCondition
	BoundaryCondition (BoundaryCondition &&)=default
BoundaryCondition &	operator= (BoundaryCondition &&)=default
	BoundaryCondition (const BoundaryCondition &)=default
BoundaryCondition &	operator= (const BoundaryCondition &)=default
	BoundaryCondition (CkMigrateMessage *const msg)
	WRAPPED_PUPable_abstract (BoundaryCondition)
virtual auto	get_clone () const -> std::unique_ptr< BoundaryCondition >=0

Static Public Attributes
static constexpr Options::String	help
static constexpr evolution::BoundaryConditions::Type	bc_type

Detailed Description

template<size_t Dim>
class NewtonianEuler::BoundaryConditions::Reflection< Dim >

Reflecting boundary conditions for Newtonian hydrodynamics.

Ghost (exterior) data 'mirrors' interior volume data with respect to the boundary interface. i.e. reverses the normal component of velocity while using same values for other scalar quantities.

In the frame instantaneously moving with the same velocity as face mesh, the reflection condition reads

$$\begin{array}{r}{\overrightarrow{u}}_{\text{ghost}}={\overrightarrow{u}}_{\text{int}}-2({\overrightarrow{u}}_{\text{int}}\cdot \hat{n})\hat{n}\end{array}$$

where $\overrightarrow{u}$ is the fluid velocity in the moving frame, "int" stands for interior, and $\hat{n}$ is the outward normal vector on the boundary interface.

Substituting $\overrightarrow{u}=\overrightarrow{v}-{\overrightarrow{v}}_m$, we get

$$\begin{array}{rl}{v}_{\text{ghost}}^i& =v_{\text{int}}^i-2[(v_{\text{int}}^j-v_m^j)n_j]n^i\end{array}$$

where $v$ is the fluid velocity and $v_m$ is face mesh velocity.

Member Function Documentation

get_clone()

template<size_t Dim>

auto NewtonianEuler::BoundaryConditions::Reflection< Dim >::get_clone ( ) const -> std::unique_ptr< domain::BoundaryConditions::BoundaryCondition >

overridevirtual

Implements domain::BoundaryConditions::BoundaryCondition.

Member Data Documentation

bc_type

template<size_t Dim>

constexpr evolution::BoundaryConditions::Type NewtonianEuler::BoundaryConditions::Reflection< Dim >::bc_type

staticconstexpr

Initial value:

=
      evolution::BoundaryConditions::Type::Ghost

help

template<size_t Dim>

constexpr Options::String NewtonianEuler::BoundaryConditions::Reflection< Dim >::help

staticconstexpr

Initial value:

{
      "Reflecting boundary conditions for Newtonian hydrodynamics."}

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The documentation for this class was generated from the following file:

• src/Evolution/Systems/NewtonianEuler/BoundaryConditions/Reflection.hpp