Finite Volume Element Discretization for the compressible Navier-Stokes Equation. More...

#include <compressible_navier_stokes_fv1.h>

Inheritance diagram for ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >:

Public Member Functions
template<typename TElem , typename TFVGeom >
void	add_def_A_elem (LocalVector &d, const LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[])
	adds the stiffness part to the local defect More...

template<typename TElem , typename TFVGeom >
void	add_def_M_elem (LocalVector &d, const LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[])
	adds the mass part to the local defect More...

template<typename TElem , typename TFVGeom >
void	add_jac_A_elem (LocalMatrix &J, const LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[])
	adds the stiffness part to the local jacobian More...

template<typename TElem , typename TFVGeom >
void	add_jac_M_elem (LocalMatrix &J, const LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[])
	adds the mass part to the local jacobian More...

template<typename TElem , typename TFVGeom >
void	add_rhs_elem (LocalVector &d, GridObject *elem, const MathVector< dim > vCornerCoords[])
	adds the source part to the local defect More...

SmartPtr< CplUserData< number, dim > >	adiabatic_index ()
	returns adiabatic index More...

virtual std::string	disc_type () const
	returns string identifying disc type More...

template<typename TElem , typename TFVGeom >
void	fsh_elem_loop ()
	finishes the element loop More...

SmartPtr< CplUserData< number, dim > >	kinematic_viscosity ()
	returns kinematic viscosity More...

template<typename TFVGeom >
number	mach_number_blending (MathVector< dim > &UpwindVel, const TFVGeom &geo, size_t ip, const MathVector< dim > &StdVel, number kinVisco)
	computes the Mach-number blended Upwind velocity More...

template<typename TElem , typename TFVGeom >
void	prep_elem (const LocalVector &u, GridObject *elem, const ReferenceObjectID roid, const MathVector< dim > vCornerCoords[])
	prepares the element for evaluation More...

template<typename TElem , typename TFVGeom >
void	prep_elem_loop (const ReferenceObjectID roid, const int si)
	prepares the element loop More...

template<typename TElem , typename TFVGeom >
void	prep_timestep_elem (const number time, const LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[])
	prepares the element loop More...

void	prepare_setting (const std::vector< LFEID > &vLfeID, bool bNonRegularGrid)
	type of trial space for each function used More...

void	set_adiabatic_index (SmartPtr< CplUserData< number, dim > > user)
	sets the adiabatic index More...

void	set_kinematic_viscosity (SmartPtr< CplUserData< number, dim > > user)
	sets the kinematic viscosity More...

void	set_source (SmartPtr< CplUserData< MathVector< dim >, dim > > user)
	sets the source function More...

void	set_upwind (const std::string &name)
	sets the upwind based on a string identifier More...

void	set_upwind (SmartPtr< INavierStokesUpwind< dim > > spUpwind)
	sets an upwinding for the convective term of momentum equation More...

DataImport< MathVector< dim >, dim >	sourceSCVF ()
	returns scvf source More...


	CompressibleNavierStokesFV1 (const char functions, const char subsets)

	CompressibleNavierStokesFV1 (const std::vector< std::string > &vFct, const std::vector< std::string > &vSubset)

Public Member Functions inherited from ug::NavierStokes::CompressibleNavierStokesBase< TDomain >
	CompressibleNavierStokesBase (const char functions, const char subsets)

	CompressibleNavierStokesBase (const std::vector< std::string > &vFct, const std::vector< std::string > &vSubset)

void	set_adiabatic_index (number val)
	flag if using Mach-number Blending More...

void	set_mach_number_blend (bool machNrBlend)
	sets if Mach-number blending is used in momentum equation More...

virtual bool	requests_local_time_series ()
	returns if local time series is needed More...

Public Member Functions inherited from ug::NavierStokes::NavierStokesBase< TDomain >
void	set_exact_jacobian (bool bExactJacobian)
	sets if the exact jacobian is computed (fixpoint approximation else) More...

void	set_exact_jacobian (number fullNewtonFactor)

	NavierStokesBase (const char functions, const char subsets)

	NavierStokesBase (const std::vector< std::string > &vFct, const std::vector< std::string > &vSubset)

void	set_kinematic_viscosity (number val)
	sets the kinematic viscosity More...

void	set_source (const std::vector< number > &vSource)
	sets the source function More...

Public Member Functions inherited from ug::IElemDisc< TDomain >
void	add_elem_modifier (SmartPtr< IElemDiscModifier< TDomain > > elemModifier)

std::vector< SmartPtr< IElemDiscModifier< TDomain > > > &	get_elem_modifier ()

	IElemDisc (const char functions, const char subsets)

	IElemDisc (const std::vector< std::string > &vFct, const std::vector< std::string > &vSubset)

Public Member Functions inherited from IElemAssembleFuncs< IElemDisc< TDomain >, TDomain >
virtual void	add_def_A_elem (LocalVector &d, const LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[])

virtual void	add_def_A_expl_elem (LocalVector &d, const LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[])

virtual void	add_def_M_elem (LocalVector &d, const LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[])

virtual void	add_jac_A_elem (LocalMatrix &J, const LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[])

virtual void	add_jac_M_elem (LocalMatrix &J, const LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[])

virtual void	add_rhs_elem (LocalVector &rhs, GridObject *elem, const MathVector< dim > vCornerCoords[])

IElemDisc< TDomain > &	asLeaf ()

void	check_roid (ReferenceObjectID roid, int discType)

void	do_add_def_A_elem (LocalVector &d, LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[])

void	do_add_def_A_expl_elem (LocalVector &d, LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[])

void	do_add_def_M_elem (LocalVector &d, LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[])

void	do_add_jac_A_elem (LocalMatrix &J, LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[])

void	do_add_jac_M_elem (LocalMatrix &J, LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[])

void	do_add_rhs_elem (LocalVector &rhs, GridObject *elem, const MathVector< dim > vCornerCoords[])

void	do_fsh_elem_loop ()

void	do_fsh_timestep (const number time, VectorProxyBase *u, size_t algebra_id)

void	do_fsh_timestep_elem (const number time, LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[])

void	do_prep_elem (LocalVector &u, GridObject *elem, const ReferenceObjectID roid, const MathVector< dim > vCornerCoords[])

void	do_prep_elem_loop (const ReferenceObjectID roid, const int si)

void	do_prep_timestep (number future_time, const number time, VectorProxyBase *u, size_t algebra_id)

void	do_prep_timestep_elem (const number time, LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[])

virtual void	fsh_timestep (number time, VectorProxyBase *u)

virtual void	fsh_timestep_elem (const number time, const LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[])

	IElemAssembleFuncs ()

virtual void	post_assemble_loop ()

virtual void	prep_assemble_loop ()

virtual void	prep_elem (const LocalVector &u, GridObject *elem, const ReferenceObjectID roid, const MathVector< dim > vCornerCoords[])

virtual void	prep_elem_loop (const ReferenceObjectID roid, const int si)

virtual void	prep_timestep (number future_time, number time, VectorProxyBase *u)

virtual void	prep_timestep_elem (const number time, const LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[])

void	set_roid (ReferenceObjectID id, int discType)

virtual	~IElemAssembleFuncs ()

Public Member Functions inherited from ug::IElemError< class >
	IElemError (const char functions, const char subsets)

	IElemError (const std::vector< std::string > &vFct, const std::vector< std::string > &vSubset)

Public Member Functions inherited from ug::IElemDiscBase< class >
SmartPtr< ApproximationSpace< TDomain > >	approx_space ()

ConstSmartPtr< ApproximationSpace< TDomain > >	approx_space () const

void	check_setup (bool bNonRegularGrid)

void	clear_imports ()

SmartPtr< TDomain >	domain ()

ConstSmartPtr< TDomain >	domain () const

const FunctionGroup &	function_group () const

ConstSmartPtr< FunctionPattern >	function_pattern () const

IDataImport< dim > &	get_import (size_t i)

	IElemDiscBase (const char functions="", const char subsets="")

	IElemDiscBase (const std::vector< std::string > &vFct, const std::vector< std::string > &vSubset)

bool	is_time_dependent () const

bool	local_time_series_needed ()

const LocalVectorTimeSeries *	local_time_solutions () const

const FunctionIndexMapping &	map () const

number	mass_scale () const

number	mass_scale () const

number	mass_scale (const size_t timePoint) const

number	mass_scale (const size_t timePoint) const

const std::vector< number > &	mass_scales () const

const std::vector< number > &	mass_scales () const

size_t	num_fct () const

size_t	num_imports () const

size_t	num_subsets () const

void	register_import (IDataImport< dim > &Imp)

void	set_approximation_space (SmartPtr< ApproximationSpace< TDomain > > approxSpace)

void	set_functions (const std::string &functions)

void	set_functions (const std::vector< std::string > &functions)

void	set_stationary ()

void	set_stationary (bool bStationaryForced=true)

void	set_subsets (const std::string &subsets)

void	set_subsets (const std::vector< std::string > &subsets)

void	set_time_dependent (LocalVectorTimeSeries &locTimeSeries, const std::vector< number > &vScaleMass, const std::vector< number > &vScaleStiff)

void	set_time_independent ()

void	set_time_point (const size_t timePoint)

number	stiff_scale () const

number	stiff_scale () const

number	stiff_scale (const size_t timePoint) const

number	stiff_scale (const size_t timePoint) const

const std::vector< number > &	stiff_scales () const

const std::vector< number > &	stiff_scales () const

TDomain::subset_handler_type &	subset_handler ()

const TDomain::subset_handler_type &	subset_handler () const

const std::vector< std::string > &	symb_fcts () const

const std::vector< std::string > &	symb_subsets () const

number	time () const

size_t	time_point () const

virtual int	type () const

virtual bool	use_hanging () const

virtual	~IElemDiscBase ()

Public Member Functions inherited from IElemEstimatorFuncs< IElemDisc< TDomain >, TDomain >
IElemDisc< TDomain > &	asLeaf ()

void	check_roid (ReferenceObjectID roid, int discType)

virtual void	compute_err_est_A_elem (const LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[], const number &scale)

virtual void	compute_err_est_M_elem (const LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[], const number &scale)

virtual void	compute_err_est_rhs_elem (GridObject *elem, const MathVector< dim > vCornerCoords[], const number &scale)

void	do_compute_err_est_A_elem (LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[], const number &scale)

void	do_compute_err_est_M_elem (LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[], const number &scale)

void	do_compute_err_est_rhs_elem (GridObject *elem, const MathVector< dim > vCornerCoords[], const number &scale)

void	do_fsh_err_est_elem_loop ()

void	do_prep_err_est_elem (LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[])

void	do_prep_err_est_elem_loop (const ReferenceObjectID roid, const int si)

virtual SmartPtr< IErrEstData< TDomain > >	err_est_data ()

bool	err_est_enabled () const

virtual void	fsh_err_est_elem_loop ()

	IElemEstimatorFuncs ()

virtual void	prep_err_est_elem (const LocalVector &u, GridObject *elem, const MathVector< dim > vCornerCoords[])

virtual void	prep_err_est_elem_loop (const ReferenceObjectID roid, const int si)

void	set_error_estimator (SmartPtr< IErrEstData< TDomain > > ee)

void	set_roid (ReferenceObjectID id, int discType)

virtual	~IElemEstimatorFuncs ()

Static Public Attributes
static const int	dim = base_type::dim
	World dimension. More...

Static Public Attributes inherited from ug::NavierStokes::CompressibleNavierStokesBase< TDomain >
static const int	dim = base_type::dim
	World dimension. More...

Static Public Attributes inherited from ug::NavierStokes::NavierStokesBase< TDomain >
static const int	dim = base_type::dim
	World dimension. More...

Static Public Attributes inherited from ug::IElemDisc< TDomain >
static const int	dim

Static Public Attributes inherited from IElemAssembleFuncs< IElemDisc< TDomain >, TDomain >
static const int	dim

Static Public Attributes inherited from ug::IElemError< class >
static const int	dim

Static Public Attributes inherited from ug::IElemDiscBase< class >
static const int	dim

Static Public Attributes inherited from IElemEstimatorFuncs< IElemDisc< TDomain >, TDomain >
static const int	dim

Protected Types
typedef CompressibleNavierStokesBase< TDomain >	base_type
	Base class type. More...

typedef CompressibleNavierStokesFV1< TDomain >	this_type
	own type More...

Protected Types inherited from ug::NavierStokes::CompressibleNavierStokesBase< TDomain >
typedef NavierStokesBase< TDomain >	base_type
	Base class type. More...

typedef CompressibleNavierStokesBase< TDomain >	this_type
	own type More...

Protected Types inherited from ug::NavierStokes::NavierStokesBase< TDomain >
typedef IElemDisc< TDomain >	base_type
	Base class type. More...

typedef NavierStokesBase< TDomain >	this_type
	own type More...

Protected Member Functions
void	init ()

Protected Member Functions inherited from ug::IElemDisc< TDomain >
void	clear_add_fct ()

void	clear_add_fct (ReferenceObjectID id)

void	set_default_add_fct ()

Protected Member Functions inherited from IElemAssembleFuncs< IElemDisc< TDomain >, TDomain >
void	clear_add_fct ()

void	clear_add_fct (ReferenceObjectID id)

void	remove_add_def_A_elem_fct (ReferenceObjectID id)

void	remove_add_def_A_expl_elem_fct (ReferenceObjectID id)

void	remove_add_def_M_elem_fct (ReferenceObjectID id)

void	remove_add_jac_A_elem_fct (ReferenceObjectID id)

void	remove_add_jac_M_elem_fct (ReferenceObjectID id)

void	remove_add_rhs_elem_fct (ReferenceObjectID id)

void	remove_fsh_elem_loop_fct (ReferenceObjectID id)

void	remove_fsh_timestep_elem_fct (ReferenceObjectID id)

void	remove_fsh_timestep_fct (size_t algebra_id)

void	remove_prep_elem_fct (ReferenceObjectID id)

void	remove_prep_elem_loop_fct (ReferenceObjectID id)

void	remove_prep_timestep_elem_fct (ReferenceObjectID id)

void	remove_prep_timestep_fct (size_t algebra_id)

void	set_add_def_A_elem_fct (ReferenceObjectID id, TAssFunc func)

void	set_add_def_A_expl_elem_fct (ReferenceObjectID id, TAssFunc func)

void	set_add_def_M_elem_fct (ReferenceObjectID id, TAssFunc func)

void	set_add_jac_A_elem_fct (ReferenceObjectID id, TAssFunc func)

void	set_add_jac_M_elem_fct (ReferenceObjectID id, TAssFunc func)

void	set_add_rhs_elem_fct (ReferenceObjectID id, TAssFunc func)

void	set_default_add_fct ()

void	set_fsh_elem_loop_fct (ReferenceObjectID id, TAssFunc func)

void	set_fsh_timestep_elem_fct (ReferenceObjectID id, TAssFunc func)

void	set_fsh_timestep_fct (size_t algebra_id, TAssFunc func)

void	set_prep_elem_fct (ReferenceObjectID id, TAssFunc func)

void	set_prep_elem_loop_fct (ReferenceObjectID id, TAssFunc func)

void	set_prep_timestep_elem_fct (ReferenceObjectID id, TAssFunc func)

void	set_prep_timestep_fct (size_t algebra_id, TAssFunc func)

Protected Member Functions inherited from ug::IElemError< class >
void	clear_add_fct ()

void	clear_add_fct (ReferenceObjectID id)

Protected Member Functions inherited from ug::IElemDiscBase< class >
virtual void	approximation_space_changed ()

void	set_function_pattern (ConstSmartPtr< FunctionPattern > fctPatt)

void	update_function_index_mapping ()

Protected Member Functions inherited from IElemEstimatorFuncs< IElemDisc< TDomain >, TDomain >
void	clear_add_fct ()

void	clear_add_fct (ReferenceObjectID id)

void	remove_compute_err_est_A_elem (ReferenceObjectID id)

void	remove_compute_err_est_M_elem (ReferenceObjectID id)

void	remove_compute_err_est_rhs_elem (ReferenceObjectID id)

void	remove_fsh_err_est_elem_loop (ReferenceObjectID id)

void	remove_prep_err_est_elem (ReferenceObjectID id)

void	remove_prep_err_est_elem_loop (ReferenceObjectID id)

void	set_compute_err_est_A_elem (ReferenceObjectID id, TAssFunc func)

void	set_compute_err_est_M_elem (ReferenceObjectID id, TAssFunc func)

void	set_compute_err_est_rhs_elem (ReferenceObjectID id, TAssFunc func)

void	set_default_add_fct ()

void	set_fsh_err_est_elem_loop (ReferenceObjectID id, TAssFunc func)

void	set_prep_err_est_elem (ReferenceObjectID id, TAssFunc func)

void	set_prep_err_est_elem_loop (ReferenceObjectID id, TAssFunc func)

Protected Attributes
number	m_bFullNewtonFactor
	factor for exact jacobian, (1 for exact jacobian, 0 for fix point) More...

DataImport< number, dim >	m_imAdiabaticIndex
	Data import for adiabatic index. More...

DataImport< number, dim >	m_imKinViscosity
	Data import for kinematic viscosity. More...

DataImport< MathVector< dim >, dim >	m_imSourceSCV
	Data import for source. More...

DataImport< MathVector< dim >, dim >	m_imSourceSCVF

number	m_maxDensity

number	m_maxPressure

number	m_maxVel
	reference quantities for getting dimensionless equations More...

number	m_numeratorOfRefReynoldsNr

number	m_refLength

number	m_refMachNrSq

SmartPtr< INavierStokesUpwind< dim > >	m_spConvUpwind
	Upwinding for velocity in convective term of momentum equation. More...

Protected Attributes inherited from ug::NavierStokes::CompressibleNavierStokesBase< TDomain >
bool	m_bMachNrBlend
	flag if using Mach-number Blending More...

number	m_bFullNewtonFactor
	factor for exact jacobian, (1 for exact jacobian, 0 for fix point) More...

Protected Attributes inherited from ug::NavierStokes::NavierStokesBase< TDomain >
number	m_bFullNewtonFactor
	factor for exact jacobian, (1 for exact jacobian, 0 for fix point) More...

Protected Attributes inherited from ug::IElemDisc< TDomain >
std::vector< SmartPtr< IElemDiscModifier< TDomain > > >	m_spElemModifier

Protected Attributes inherited from IElemAssembleFuncs< IElemDisc< TDomain >, TDomain >
ReferenceObjectID	m_roid

Protected Attributes inherited from ug::IElemDiscBase< class >
bool	m_bStationaryForced

FunctionGroup	m_fctGrp

FunctionIndexMapping	m_fctIndexMap

LocalVectorTimeSeries *	m_pLocalVectorTimeSeries

SmartPtr< ApproximationSpace< TDomain > >	m_spApproxSpace

ConstSmartPtr< FunctionPattern >	m_spFctPattern

size_t	m_timePoint

std::vector< std::string >	m_vFct

std::vector< IDataImport< dim > * >	m_vIImport

std::vector< number >	m_vScaleMass

std::vector< number >	m_vScaleStiff

std::vector< std::string >	m_vSubset

Protected Attributes inherited from IElemEstimatorFuncs< IElemDisc< TDomain >, TDomain >
ReferenceObjectID	m_roid

SmartPtr< IErrEstData< TDomain > >	m_spErrEstData

Static Protected Attributes
static const size_t	_P_ = dim
	abbreviation for pressure More...

static const size_t	_Rho_ = dim + 1
	abbreviation for density More...

Private Member Functions

void	register_all_funcs (bool bHang)

template<typename TElem , typename TFVGeom >
void	register_func ()

Additional Inherited Members
Public Types inherited from ug::IElemDisc< TDomain >
typedef IElemAssembleFuncs< IElemDisc< TDomain >, TDomain >	assemble_base_type

typedef IElemError< TDomain >	base_type

typedef TDomain	domain_type

typedef IElemEstimatorFuncs< IElemDisc< TDomain >, TDomain >	estimator_base_type

Public Types inherited from IElemAssembleFuncs< IElemDisc< TDomain >, TDomain >
typedef TDomain	domain_type

typedef IElemDisc< TDomain >	leaf_type

Public Types inherited from ug::IElemError< class >
typedef TDomain	domain_type

typedef IElemEstimatorFuncs< IElemDisc< TDomain >, TDomain >	estimator_base_type

Public Types inherited from ug::IElemDiscBase< class >
typedef TDomain	domain_type

typedef TDomain::position_type	position_type

Public Types inherited from IElemEstimatorFuncs< IElemDisc< TDomain >, TDomain >
typedef TDomain	domain_type

typedef IElemDisc< TDomain >	leaf_type

Detailed Description

template<typename TDomain>
class ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >

Finite Volume Element Discretization for the compressible Navier-Stokes Equation.

This class implements the IElemDisc interface to provide element local assemblings for the compressible Navier-Stokes equation for an thermical and caloric ideal gas.

The unknowns of the equation are:

\( \vec{u} \) velocity
\( p \) pressure
\( \rho \) density.

The equation takes the form

\begin{align*} \frac{\partial \rho \vec{u}}{\partial t} - \nabla \left( \rho \nu (\nabla \vec{u} + (\nabla \vec{u})^T) - \frac{2}{3} Id * \nabla \vec{u} \right) + \nabla \cdot \left( \rho \vec{u} \vec{u}^T \right) + \nabla p &= \vec{f}_m\\ \frac{\partial \rho}{\partial t} + \nabla \cdot (\rho \vec{u}) &= f_c \\ \frac{1}{\gamma - 1}\frac{\partial \rho}{\partial t} + \frac{1}{2} \frac{\partial \rho \vec{u}^2}{\partial t} + \frac{\gamma}{\gamma - 1} \nabla \cdot (\rho \vec{u}^T) + \frac{1}{2} \nabla \cdot (\rho \vec{u}^2 \vec{u}^T) - \nabla \left( \vec{u}^T \cdot \tau \right) &= f_e \\ \end{align*}

with

\( \gamma \) is the adiabatic index
\( \tau \) is the shear stress tensor \( \tau = \rho \nu (\nabla \vec{u} + (\nabla \vec{u})^T) - \frac{2}{3} Id * \nabla \vec{u} \)
\( \nu \) is the kinematic viscosity (temporarily constant, implement)
\( \vec{f}_m \equiv f_m(\vec{x},t) \) is a Source Term for the momentum equation (not implemented yet)
\( f_c \) is a Source Term for the continuity equation (not implemented yet)
\( f_e \) is a Source Term for the energy preserving equation (not implemented yet)

The first equation models the conservation of momentum and is therefore referred to as the Momentum equation. The second equation models the conservation of mass and is known as the Mass continuity equation or simply Continuity equation. The third equation models the conservation of energy and is therefore referred to as the Energy equation.

These three equations are normalized by reference quantities (c.f. A. Gordner 'Numerische Simulation nichtlinearer Aeroakustik bei kleinen Machzahlen'),

\( M_{ref}^2 \) the squared reference Mach number \( M_{ref}^2 = \frac{\rho_{ref} \vec{u}_{ref}^2}{p_{ref}} \)
\( Re \) the Reynolds number \( Re = \frac{\rho_{ref} L_{ref} \vec{u}_{ref}}{\nu} \)

with

\( \vec{u}_{ref} = \max_{x,t} |\vec{u}(x,t)|\)
\( p_{ref} = \max_{x,t} |p(x,t)|\)
\( \rho_{ref} = \max_{x,t} |\rho(x,t)|\)
\( L_{ref} \) is a reference length.

Template Parameters

TDomain	Domain
TAlgebra	Algebra

Member Typedef Documentation

◆ base_type

template<typename TDomain >

typedef CompressibleNavierStokesBase<TDomain> ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::base_type

protected

Base class type.

◆ this_type

template<typename TDomain >

typedef CompressibleNavierStokesFV1<TDomain> ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::this_type

protected

own type

Constructor & Destructor Documentation

◆ CompressibleNavierStokesFV1() [1/2]

template<typename TDomain >

ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::CompressibleNavierStokesFV1	(	const char *	functions,
		const char *	subsets
	)

Constructor (setting default values)

References ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::init().

◆ CompressibleNavierStokesFV1() [2/2]

template<typename TDomain >

ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::CompressibleNavierStokesFV1	(	const std::vector< std::string > &	vFct,
		const std::vector< std::string > &	vSubset
	)

Constructor (setting default values)

References ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::init().

Member Function Documentation

◆ add_def_A_elem()

template<typename TDomain >

template<typename TElem , typename TFVGeom >

void ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::add_def_A_elem	(	LocalVector &	d,
		const LocalVector &	u,
		GridObject *	elem,
		const MathVector< dim >	vCornerCoords[]
	)

adds the stiffness part to the local defect

This function adds the contribution of one element of the stiffness part to the local defect.

The local solution \( \mathbf{u} \) passes the p1 conform lagrange dofs of the element, i.e. the unknowns in the corners of the element.

Define the functional matrix of the velocity at some integration point by

\begin{align*} \nabla \vec{u}|_{ip} := \left(\left.\frac{\partial u_i}{\partial x_j} \right|_{ip}\right)_{i,j = 1,\dots,dim} \end{align*}

and the diffusive flux to

\begin{align*} \vec{f}^{\text{diff}}|_{ip} := - \nu \left( \nabla \vec{u}|_{ip} + (\nabla \vec{u}|_{ip})^T) \right) \cdot \vec{n}_{ip} \end{align*}

Suppose that a procedure producing some upwind velocity \( \vec{u}^{up}\) is available for each ip. Then, we define the convective flux to

\begin{align*} \vec{f}^{\text{conv}}|_{ip} := \left( \vec{u}^{up}|_{ip} \vec{u}^{up}|_{ip}^T \right) \cdot \vec{n}_{ip} \end{align*}

Define the pressure at the ip to be interpolated as

\begin{align*} p|_{ip} := \sum_{sh=0}^{n_{sh}-1} \mathbf{u}(\text{\_P\_}, sh) \phi_{sh} \end{align*}

The contribution added for the momentum equation is:

\begin{align*} \forall d=0,\dots, \text{dim}-1, \quad \forall sh=0,\dots, n_{sh}-1: \qquad \mathbf{d}(d, sh) &\text{ +=} \int_{\partial B_{sh} \cap T} \vec{f}^{\text{diff}}_d + \vec{f}^{\text{conv}}_d + p \vec{n}_d \;dS \approx \sum_{i=1}^{n_{\partial B_{sh}}} |\partial B^i_{sh} \cap T| \left( \left.\vec{f}^{\text{diff}}_d\right|_{ip} + \left.\vec{f}^{\text{conv}}_d\right|_{ip} + p|_{ip} \vec{n}|_{ip} \right)\\ \end{align*}

Assume, that some stabilized velocity \( \vec{u}^{stab}\) is available for each ip. Then, the contribution added for the continuity equation is:

\begin{align*} \forall sh=0,\dots, n_{sh}-1: \qquad \mathbf{d}(\text{\_P\_}, sh) &\text{ +=} \int_{\partial B_{sh} \cap T} \vec{u}^{stab} \cdot \vec{n} \;dS \approx \sum_{i=1}^{n_{\partial B_{sh}}} |\partial B^i_{sh} \cap T| \; \vec{u}^{stab}|_{ip} \cdot \vec{n}|_{ip}\\ \end{align*}

Parameters

[in,out]	d	local defect with values added on output
[in]	u	local vector of current solution
[in]	time	current time step

Template Parameters

TElem	Element type
TFVGeom	Finite Volume Geometry

m_bLaplace)

References dim, ug::GeomProvider< class >::get(), ug::MatVecMult(), ug::TransposedMatVecMultAdd(), UG_ASSERT, UG_THROW, ug::NavierStokes::INavierStokesUpwind< dim >::upwind_vel(), ug::VecProd(), ug::VecScaleAdd(), and ug::VecSet().

◆ add_def_M_elem()

template<typename TDomain >

template<typename TElem , typename TFVGeom >

void ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::add_def_M_elem	(	LocalVector &	d,
		const LocalVector &	u,
		GridObject *	elem,
		const MathVector< dim >	vCornerCoords[]
	)

adds the mass part to the local defect

This function adds the contribution of one element of the mass part to the local defect.

The local solution \( \mathbf{u} \) passes the p1 conform lagrange dofs of the element, i.e. the unknowns in the corners of the element.

The contribution added is:

\begin{align*} \forall d=0,\dots, \text{dim}-1, \quad \forall sh=0,\dots, n_{sh}-1: \qquad \mathbf{d}(d, sh) &\text{ +=} \int_{B_{sh} \cap T} \vec{u}_d dV \approx |B_{sh} \cap T| \mathbf{u}(d, sh)\\ \mathbf{d}(\text{\_P\_, sh}) &\text{ +=} 0 \end{align*}

Parameters

[in,out]	d	local defect with values added on output
[in]	u	local vector of current solution
[in]	time	current time step

Template Parameters

TElem	Element type
TFVGeom	Finite Volume Geometry

References dim, ug::GeomProvider< class >::get(), UG_ASSERT, and ug::VecProd().

◆ add_jac_A_elem()

template<typename TDomain >

template<typename TElem , typename TFVGeom >

void ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::add_jac_A_elem	(	LocalMatrix &	J,
		const LocalVector &	u,
		GridObject *	elem,
		const MathVector< dim >	vCornerCoords[]
	)

adds the stiffness part to the local jacobian

This function adds the local contributions of the stiffness part to the local jacobian.

For the definition of \( \vec{f}^{\text{diff}}|_{ip}\) and \( \vec{f}^{\text{conv}}|_{ip}\) see add_def_A_elem.

The derivative of the diffusive flux is given by

\begin{align*} \frac{\partial \vec{f}^{\text{diff}}_{d_1}|_{ip}}{\partial \vec{u}_{d_2}^{sh}} &= - \nu \left( \delta_{d_1, d_2} \sum_{k=1}^{\text{dim}} \left. \frac{\partial \phi^{sh}}{\partial x_k}\right|_{ip} \vec{n_k}|_{ip} + \left. \frac{\partial \phi^{sh}}{\partial x_{d_1}}\right|_{ip} \vec{n_{d_2}}|_{ip} \right)\\ \frac{\partial \vec{f}^{\text{diff}}_{d_1}|_{ip}}{\partial p^{sh}} &= 0 \end{align*}

For the derivative of the convective term, we can use a fixpoint linearization if we only differentiate the first factor of \( \vec{f}^{\text{conv}}_{d_1} = (\vec{u}^{\text{blend}} (\vec{u}^{\text{blend}})^T)_{d_1 k} \vec{n}_k = \vec{u}^{\text{blend}}_{d_1} \sum_{k=1}^{\text{dim}} \vec{u}^{\text{blend}}_k \vec{n}_k = \vec{u}^{\text{blend}}_{d_1} \langle \vec{u}^{\text{blend}}, \vec{n} \rangle \)

This gives

\begin{align*} \frac{\partial \vec{f}^{\text{conv}}_{d_1}}{\partial \vec{u}_{d_2}^{sh}} &= \langle \vec{u}^{\text{blend}}, \vec{n} \rangle \frac{\partial \vec{u}^{\text{blend}}_{d_1}}{\partial \vec{u}_{d_2}^{sh}} &= \langle \vec{u}^{\text{blend}}, \vec{n} \rangle \left( (1-\omega) \delta_{d_1 d_2} \phi^{sh} + \omega \frac{\partial \vec{u}^{\text{up}}_{d_1}}{\partial \vec{u}_{d_2}^{sh}} \right) \end{align*}

The derivative of the pressure term is given by

\begin{align*} \frac{\partial p \vec{n}|_{ip}}{\partial \vec{u}_{d_2}^{sh}} &= 0\\ \frac{\partial p \vec{n}|_{ip}}{\partial p^{sh}} &= \phi^{sh}|_{ip} \vec{n} \end{align*}

The derivative of the continuity term is given by

\begin{align*} \frac{\partial \vec{u}^{\text{stab}}|_{ip} \vec{n}|_{ip}}{\partial \vec{u}_{d_1}^{sh}} &= \sum_{d_2=1}^{dim} \left. \frac{\partial u_{d_2}^{\text{stab}}} {\partial \vec{u}_{d_1}^{sh}} \right|_{ip} \vec{n}_{d_2}\\ \frac{\partial \vec{u}^{\text{stab}}|_{ip} \vec{n}|_{ip}}{\partial p^{sh}} &=\sum_{d_2=1}^{dim} \left. \frac{\partial u_{d_2}^{\text{stab}}} {\partial p^{sh}} \right|_{ip} \vec{n}_{d_2}\\ \end{align*}

Parameters

[in,out]	J	local jacobian with values added on output
[in]	u	local vector of current solution
[in]	time	current time step

Template Parameters

TElem	Element type
TFVGeom	Finite Volume Geometry

◆ add_jac_M_elem()

template<typename TDomain >

template<typename TElem , typename TFVGeom >

void ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::add_jac_M_elem	(	LocalMatrix &	J,
		const LocalVector &	u,
		GridObject *	elem,
		const MathVector< dim >	vCornerCoords[]
	)

adds the mass part to the local jacobian

This function adds the contribution of one element of the mass part to the local jacobian.

The local solution \( \mathbf{u} \) passes the p1 conform lagrange dofs of the element, i.e. the unknowns in the corners of the element.

The contribution added is:

\begin{align*} \forall d=0,\dots, \text{dim}-1, \quad \forall sh=0,\dots, n_{sh}-1: \qquad \mathcal{J}(d, sh, d, sh) &\text{ +=} \int_{B_{sh} \cap T} dV = |B_{sh} \cap T|\\ \end{align*}

Parameters

[in,out]	J	local jacobian with values added on output
[in]	u	local vector of current solution
[in]	time	current time step

Template Parameters

TElem	Element type
TFVGeom	Finite Volume Geometry

◆ add_rhs_elem()

template<typename TDomain >

template<typename TElem , typename TFVGeom >

void ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::add_rhs_elem	(	LocalVector &	d,
		GridObject *	elem,
		const MathVector< dim >	vCornerCoords[]
	)

adds the source part to the local defect

This function adds the contribution of one element of the source part to the local defect, if a source function \( \vec{f} \) has been specified. Otherwise a zero source function is assumed.

The contribution added is:

\begin{align*} \forall d=0,\dots, \text{dim}-1, \quad \forall sh=0,\dots, n_{sh}-1: \qquad \mathbf{d}(d, sh) &\text{ +=} \int_{B_{sh} \cap T} \vec{f}_d \; dV \approx |B_{sh} \cap T| \; \vec{f}_d|_{ip} \end{align*}

Parameters

[in,out]	d	local defect with values added on output
[in]	time	current time step

Template Parameters

TElem	Element type
TFVGeom	Finite Volume Geometry

References dim, ug::GeomProvider< class >::get(), and UG_ASSERT.

◆ adiabatic_index()

template<typename TDomain >

SmartPtr<CplUserData<number, dim> > ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::adiabatic_index ( )

inlinevirtual

returns adiabatic index

Implements ug::NavierStokes::CompressibleNavierStokesBase< TDomain >.

References ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::m_imAdiabaticIndex, and DataImport< number, dim >::user_data().

◆ disc_type()

template<typename TDomain >

virtual std::string ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::disc_type ( ) const

inlinevirtual

returns string identifying disc type

Implements ug::NavierStokes::CompressibleNavierStokesBase< TDomain >.

◆ fsh_elem_loop()

template<typename TDomain >

template<typename TElem , typename TFVGeom >

void ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::fsh_elem_loop

virtual

finishes the element loop

Reimplemented from IElemAssembleFuncs< IElemDisc< TDomain >, TDomain >.

◆ init()

template<typename TDomain >

void ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::init

protected

References dim, and UG_THROW.

Referenced by ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::CompressibleNavierStokesFV1().

◆ kinematic_viscosity()

template<typename TDomain >

SmartPtr<CplUserData<number, dim> > ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::kinematic_viscosity ( )

inlinevirtual

returns kinematic viscosity

Implements ug::NavierStokes::CompressibleNavierStokesBase< TDomain >.

References ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::m_imKinViscosity, and DataImport< number, dim >::user_data().

◆ mach_number_blending()

template<typename TDomain >

template<typename TFVGeom >

number ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::mach_number_blending	(	MathVector< dim > &	UpwindVel,
		const TFVGeom &	geo,
		size_t	ip,
		const MathVector< dim > &	StdVel,
		number	kinVisco
	)

inline

computes the Mach-number blended Upwind velocity

This function compute the peclet blended velocity. First, the standard interpolated (no upwind) velocity is computed at the integration point of the scvf:

\begin{align*} \vec{u}^{\text{std}}_d|_{ip} := \sum_{sh=0}^{n_{sh}-1} \mathbf{u}(d, sh) \; \phi_{sh} \end{align*}

Defining the Peclet Number

\begin{align*} Pe := \frac{\vec{u}^{\text{std}}|_{ip} \cdot \vec{n}|_{ip} \; L}{\nu} \end{align*}

with the Viscosity \( \nu \) and the diffusion length \( L \), a weighting factor is computed:

\begin{align*} \omega := \frac{Pe^2}{5 + Pe^2} \end{align*}

and the blended velocity is computed to

\begin{align*} \vec{u}^{\text{blend}}|_{ip} := \omega \vec{u}^{\text{up}} + (1-\omega) \vec{u}^{\text{std}} \end{align*}

Parameters

[in,out]	UpwindVel	upwind vel on entry, blended vel on exit
[in]	scvf	SubControlVolumeFace of the Velocity
[in]	StdVel	standard interpolation vel
[in]	kinVisco	kinematic Viscosity at scvf

Returns: \(\omega\) weighting factor

References ug::VecDistance(), ug::VecProd(), ug::VecScaleAdd(), and ug::VecTwoNormSq().

◆ prep_elem()

template<typename TDomain >

template<typename TElem , typename TFVGeom >

void ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::prep_elem	(	const LocalVector &	u,
		GridObject *	elem,
		const ReferenceObjectID	roid,
		const MathVector< dim >	vCornerCoords[]
	)

prepares the element for evaluation

This function prepare a specific element for assembling. This function is always called before any of the assemble_... functions is performed. Here, the Finite Volume Geometry is prepared and global positions of the evaluation points of the DataImports are requested (and local positions in case of hanging node assembling)

Parameters

[in]	elem	element to prepare the data for
[in]	u	current local solution vector
[in]	glob_ind	global indices of the local vector components

References dim, ug::GeomProvider< class >::get(), subset_handler(), and UG_CATCH_THROW.

◆ prep_elem_loop()

template<typename TDomain >

template<typename TElem , typename TFVGeom >

void ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::prep_elem_loop	(	const ReferenceObjectID	roid,
		const int	si
	)

prepares the element loop

This function is used to prepare the element loop. It gets called, before the loop over all elements starts. Here, general checks are performed:

Is the correct finite volume geometry used
Has the stabilization been specified

In addition, local coordinates of evaluation points are requested by the DataImports in case of element-fixed points.

References dim, ug::GeomProvider< class >::get(), and UG_THROW.

◆ prep_timestep_elem()

template<typename TDomain >

template<typename TElem , typename TFVGeom >

void ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::prep_timestep_elem	(	const number	time,
		const LocalVector &	u,
		GridObject *	elem,
		const MathVector< dim >	vCornerCoords[]
	)

prepares the element loop

This function is used to set all reference quantities (like e.g. the reynolds number) which are necessary the formulate the dimensionless Navier-Stokes-equations

References dim, num_vertices(), and ug::VecTwoNorm().

◆ prepare_setting()

template<typename TDomain >

void ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::prepare_setting	(	const std::vector< LFEID > &	vLfeID,
		bool	bNonRegularGrid
	)

virtual

type of trial space for each function used

Implements ug::IElemDiscBase< class >.

References dim, ug::LFEID::LAGRANGE, type(), and UG_THROW.

◆ register_all_funcs()

template<typename TDomain >

void ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::register_all_funcs ( bool bHang )

private

register utils

◆ register_func()

template<typename TDomain >

template<typename TElem , typename TFVGeom >

void ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::register_func

private

register utils

◆ set_adiabatic_index()

template<typename TDomain >

void ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::set_adiabatic_index ( SmartPtr< CplUserData< number, dim > > user )

virtual

sets the adiabatic index

Implements ug::NavierStokes::CompressibleNavierStokesBase< TDomain >.

◆ set_kinematic_viscosity()

template<typename TDomain >

void ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::set_kinematic_viscosity ( SmartPtr< CplUserData< number, dim > > user )

virtual

sets the kinematic viscosity

Implements ug::NavierStokes::CompressibleNavierStokesBase< TDomain >.

◆ set_source()

template<typename TDomain >

void ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::set_source ( SmartPtr< CplUserData< MathVector< dim >, dim > > user )

virtual

sets the source function

Implements ug::NavierStokes::CompressibleNavierStokesBase< TDomain >.

◆ set_upwind() [1/2]

template<typename TDomain >

void ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::set_upwind ( const std::string & name )

inline

sets the upwind based on a string identifier

References ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::m_spConvUpwind.

◆ set_upwind() [2/2]

template<typename TDomain >

void ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::set_upwind ( SmartPtr< INavierStokesUpwind< dim > > spUpwind )

inline

sets an upwinding for the convective term of momentum equation

References ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::m_spConvUpwind.

◆ sourceSCVF()

template<typename TDomain >

DataImport<MathVector<dim>, dim> ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::sourceSCVF ( )

inline

returns scvf source

References ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::m_imSourceSCVF.

Member Data Documentation

◆ _P_

template<typename TDomain >

const size_t ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::_P_ = dim

staticprotected

abbreviation for pressure

◆ _Rho_

template<typename TDomain >

const size_t ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::_Rho_ = dim + 1

staticprotected

abbreviation for density

◆ dim

template<typename TDomain >

const int ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::dim = base_type::dim

static

World dimension.

◆ m_bFullNewtonFactor

template<typename TDomain >

number ug::NavierStokes::NavierStokesBase< TDomain >::m_bFullNewtonFactor

protected

factor for exact jacobian, (1 for exact jacobian, 0 for fix point)

◆ m_imAdiabaticIndex

template<typename TDomain >

DataImport<number, dim> ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::m_imAdiabaticIndex

protected

Data import for adiabatic index.

Referenced by ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::adiabatic_index().

◆ m_imKinViscosity

template<typename TDomain >

DataImport<number, dim> ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::m_imKinViscosity

protected

Data import for kinematic viscosity.

Referenced by ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::kinematic_viscosity().

◆ m_imSourceSCV

template<typename TDomain >

DataImport<MathVector<dim>, dim> ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::m_imSourceSCV

protected

Data import for source.

◆ m_imSourceSCVF

template<typename TDomain >

DataImport<MathVector<dim>, dim> ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::m_imSourceSCVF

protected

Referenced by ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::sourceSCVF().

◆ m_maxDensity

template<typename TDomain >

number ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::m_maxDensity

protected

◆ m_maxPressure

template<typename TDomain >

number ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::m_maxPressure

protected

◆ m_maxVel

template<typename TDomain >

number ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::m_maxVel

protected

reference quantities for getting dimensionless equations

◆ m_numeratorOfRefReynoldsNr

template<typename TDomain >

number ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::m_numeratorOfRefReynoldsNr

protected

◆ m_refLength

template<typename TDomain >

number ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::m_refLength

protected

◆ m_refMachNrSq

template<typename TDomain >

number ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::m_refMachNrSq

protected

◆ m_spConvUpwind

template<typename TDomain >

SmartPtr<INavierStokesUpwind<dim> > ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::m_spConvUpwind

protected

Upwinding for velocity in convective term of momentum equation.

Referenced by ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >::set_upwind().

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

/home/runner/work/docs/docs/ug4/plugins/NavierStokes/compressible/fv1/compressible_navier_stokes_fv1.h
/home/runner/work/docs/docs/ug4/plugins/NavierStokes/compressible/fv1/compressible_navier_stokes_fv1.cpp

Public Member Functions

Static Public Attributes

Protected Types

Protected Member Functions

Protected Attributes

Static Protected Attributes

Private Member Functions

Additional Inherited Members

Detailed Description

template<typename TDomain> class ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >

Member Typedef Documentation

◆ base_type

◆ this_type

Constructor & Destructor Documentation

◆ CompressibleNavierStokesFV1() [1/2]

◆ CompressibleNavierStokesFV1() [2/2]

Member Function Documentation

◆ add_def_A_elem()

◆ add_def_M_elem()

◆ add_jac_A_elem()

◆ add_jac_M_elem()

◆ add_rhs_elem()

◆ adiabatic_index()

◆ disc_type()

◆ fsh_elem_loop()

◆ init()

◆ kinematic_viscosity()

◆ mach_number_blending()

◆ prep_elem()

◆ prep_elem_loop()

◆ prep_timestep_elem()

◆ prepare_setting()

◆ register_all_funcs()

◆ register_func()

◆ set_adiabatic_index()

◆ set_kinematic_viscosity()

◆ set_source()

◆ set_upwind() [1/2]

◆ set_upwind() [2/2]

◆ sourceSCVF()

Member Data Documentation

◆ _P_

◆ _Rho_

◆ dim

◆ m_bFullNewtonFactor

◆ m_imAdiabaticIndex

◆ m_imKinViscosity

◆ m_imSourceSCV

◆ m_imSourceSCVF

◆ m_maxDensity

◆ m_maxPressure

◆ m_maxVel

◆ m_numeratorOfRefReynoldsNr

◆ m_refLength

◆ m_refMachNrSq

◆ m_spConvUpwind

template<typename TDomain>
class ug::NavierStokes::CompressibleNavierStokesFV1< TDomain >