#include <include/ryujin/euler/hyperbolic_system.h>

Public Member Functions
template<int component>
DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto	linearized_eigenvector (const state_type &U, const dealii::Tensor< 1, dim, Number > &normal) const -> std::array< state_type, 2 >

template<int component>
DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto	prescribe_riemann_characteristic (const state_type &U, const state_type &U_bar, const dealii::Tensor< 1, dim, Number > &normal) const -> state_type

template<typename Lambda >
DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto	apply_boundary_conditions (dealii::types::boundary_id id, const state_type &U, const dealii::Tensor< 1, dim, Number > &normal, const Lambda &get_dirichlet_data) const -> state_type

template<typename ST >
DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto	expand_state (const ST &state) const -> state_type

template<typename ST >
DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto	from_initial_state (const ST &initial_state) const -> state_type

template<typename Lambda >
DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto	apply_galilei_transform (const state_type &state, const Lambda &lambda) const -> state_type

template<int component>
DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto	prescribe_riemann_characteristic (const state_type &U, const Number &p, const state_type &U_bar, const Number &p_bar, const dealii::Tensor< 1, dim, Number > &normal) const -> state_type

template<typename Lambda >
DEAL_II_ALWAYS_INLINE auto	apply_boundary_conditions (dealii::types::boundary_id id, const state_type &U, const dealii::Tensor< 1, dim, Number > &normal, const Lambda &get_dirichlet_data) const -> state_type

template<typename ST >
DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto	expand_state (const ST &state) const -> state_type

template<typename ST >
DEAL_II_ALWAYS_INLINE auto	from_initial_state (const ST &initial_state) const -> state_type

template<typename Lambda >
DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto	apply_galilei_transform (const state_type &state, const Lambda &lambda) const -> state_type

template<int component>
DEAL_II_ALWAYS_INLINE auto	prescribe_riemann_characteristic (const state_type &, const Number &, const state_type &, const Number &, const dealii::Tensor< 1, dim, Number > &) const -> state_type

template<typename Lambda >
DEAL_II_ALWAYS_INLINE auto	apply_boundary_conditions (dealii::types::boundary_id id, const state_type &U, const dealii::Tensor< 1, dim, Number > &normal, const Lambda &get_dirichlet_data) const -> state_type

template<typename ST >
DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto	expand_state (const ST &state) const -> state_type

template<typename ST >
DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto	from_initial_state (const ST &initial_state) const -> state_type

template<typename Lambda >
DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto	apply_galilei_transform (const state_type &state, const Lambda &lambda) const -> state_type

template<typename Lambda >
DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto	apply_boundary_conditions (dealii::types::boundary_id id, const state_type &U, const dealii::Tensor< 1, dim, Number > &, const Lambda &get_dirichlet_data) const -> state_type

template<int component>
DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto	prescribe_riemann_characteristic (const state_type &U, const state_type &U_bar, const dealii::Tensor< 1, dim, Number > &normal) const -> state_type

template<typename Lambda >
DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto	apply_boundary_conditions (const dealii::types::boundary_id id, const state_type &U, const dealii::Tensor< 1, dim, Number > &normal, const Lambda &get_dirichlet_data) const -> state_type

template<typename ST >
DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto	expand_state (const ST &state) const -> state_type

template<typename ST >
DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto	from_initial_state (const ST &initial_state) const -> state_type

template<typename Lambda >
DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto	apply_galilei_transform (const state_type &state, const Lambda &lambda) const -> state_type

Constructor and setup
	HyperbolicSystemView (const HyperbolicSystem &hyperbolic_system)

Access to runtime parameters
DEAL_II_HOST_DEVICE_ALWAYS_INLINE ScalarNumber	gamma () const

DEAL_II_HOST_DEVICE_ALWAYS_INLINE ScalarNumber	reference_density () const

DEAL_II_HOST_DEVICE_ALWAYS_INLINE ScalarNumber	vacuum_state_relaxation_small () const

DEAL_II_HOST_DEVICE_ALWAYS_INLINE ScalarNumber	vacuum_state_relaxation_large () const

Access to cached inverses
A collection of commonly used expressions with gamma that would otherwise need to be recomputed many times putting unnecessary pressure on the div/sqrt ALU unit.
DEAL_II_HOST_DEVICE_ALWAYS_INLINE ScalarNumber	gamma_inverse () const

DEAL_II_HOST_DEVICE_ALWAYS_INLINE ScalarNumber	gamma_plus_one_inverse () const

DEAL_II_HOST_DEVICE_ALWAYS_INLINE ScalarNumber	gamma_minus_one_inverse () const

DEAL_II_HOST_DEVICE_ALWAYS_INLINE ScalarNumber	gamma_minus_one_over_gamma_plus_one () const

Special functions for boundary states
template<int component>
DEAL_II_HOST_DEVICE std::array< state_type, 2 >	linearized_eigenvector (const state_type &U, const dealii::Tensor< 1, dim, Number > &normal) const

template<int component>
DEAL_II_HOST_DEVICE state_type	prescribe_riemann_characteristic (const state_type &U, const state_type &U_bar, const dealii::Tensor< 1, dim, Number > &normal) const

template<typename Lambda >
DEAL_II_HOST_DEVICE_ALWAYS_INLINE state_type	apply_boundary_conditions (const dealii::types::boundary_id id, const state_type &U, const dealii::Tensor< 1, dim, Number > &normal, const Lambda &get_dirichlet_data) const

State transformations
template<typename ST >
DEAL_II_HOST_DEVICE state_type	expand_state (const ST &state) const

template<typename ST >
DEAL_II_HOST_DEVICE state_type	from_initial_state (const ST &initial_state) const

DEAL_II_HOST_DEVICE state_type	from_primitive_state (const state_type &primitive_state) const

DEAL_II_HOST_DEVICE state_type	to_primitive_state (const state_type &state) const

template<typename Lambda >
DEAL_II_HOST_DEVICE state_type	apply_galilei_transform (const state_type &state, const Lambda &lambda) const

Static Public Attributes
Constexpr booleans used in the EulerInitialStates namespace
static constexpr bool	have_gamma = true

static constexpr bool	have_covolume_constant = false

static constexpr bool	have_energy_equation = true

Typedefs and constexpr constants
using	ScalarNumber = typename get_value_type< Number >::type

using	state_type = dealii::Tensor< 1, problem_dimension, Number >

using	flux_type = dealii::Tensor< 1, problem_dimension, dealii::Tensor< 1, dim, Number > >

using	flux_contribution_type = flux_type

using	precomputed_type = std::array< Number, n_precomputed_values >

using	initial_precomputed_type = std::array< Number, n_initial_precomputed_values >

template<int n_comp>
using	VectorView = MultiComponentVectorView< ScalarNumber, n_comp, MemorySpace, false >

using	PrecomputedVectorView = VectorView< n_precomputed_values >

using	InitialPrecomputedVectorView = VectorView< n_initial_precomputed_values >

static constexpr unsigned int	problem_dimension = 2 + dim

static constexpr unsigned int	n_precomputed_values = 2

static constexpr unsigned int	n_initial_precomputed_values = 0

Flux computations
static constexpr bool	have_high_order_flux = false

DEAL_II_HOST_DEVICE flux_type	f (const state_type &U) const

DEAL_II_HOST_DEVICE flux_contribution_type	flux_contribution (const PrecomputedVectorView &pv, const InitialPrecomputedVectorView &ipv, const unsigned int i, const state_type &U_i) const

DEAL_II_HOST_DEVICE flux_contribution_type	flux_contribution (const PrecomputedVectorView &pv, const InitialPrecomputedVectorView &ipv, const unsigned int *js, const state_type &U_j) const

DEAL_II_HOST_DEVICE state_type	flux_divergence (const flux_contribution_type &flux_i, const flux_contribution_type &flux_j, const dealii::Tensor< 1, dim, Number > &c_ij) const

DEAL_II_HOST_DEVICE state_type	high_order_flux_divergence (const flux_contribution_type &flux_i, const flux_contribution_type &flux_j, const dealii::Tensor< 1, dim, Number > &c_ij) const =delete

Computing stencil source terms
static constexpr bool	have_source_terms = false

DEAL_II_HOST_DEVICE state_type	nodal_source (const PrecomputedVectorView &pv, const unsigned int i, const state_type &U_i, const ScalarNumber tau) const =delete

DEAL_II_HOST_DEVICE state_type	nodal_source (const PrecomputedVectorView &pv, const unsigned int *js, const state_type &U_j, const ScalarNumber tau) const =delete

Computing derived physical quantities
DEAL_II_HOST_DEVICE Number	filter_vacuum_density (const Number &rho) const

DEAL_II_HOST_DEVICE Number	pressure (const state_type &U) const

DEAL_II_HOST_DEVICE Number	speed_of_sound (const state_type &U) const

DEAL_II_HOST_DEVICE Number	specific_entropy (const state_type &U) const

DEAL_II_HOST_DEVICE Number	harten_entropy (const state_type &U) const

DEAL_II_HOST_DEVICE state_type	harten_entropy_derivative (const state_type &U) const

DEAL_II_HOST_DEVICE Number	mathematical_entropy (const state_type &U) const

DEAL_II_HOST_DEVICE state_type	mathematical_entropy_derivative (const state_type &U) const

DEAL_II_HOST_DEVICE bool	is_admissible (const state_type &U) const

static DEAL_II_HOST_DEVICE Number	density (const state_type &U)

static DEAL_II_HOST_DEVICE dealii::Tensor< 1, dim, Number >	momentum (const state_type &U)

static DEAL_II_HOST_DEVICE Number	total_energy (const state_type &U)

static DEAL_II_HOST_DEVICE Number	internal_energy (const state_type &U)

static DEAL_II_HOST_DEVICE state_type	internal_energy_derivative (const state_type &U)

Detailed Description

template<int dim, typename Number, typename MemorySpace>
class ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >

A view of the HyperbolicSystem that makes methods available for a given dimension dim and choice of number type Number (which can be a scalar float, or double, as well as a VectorizedArray holding packed scalars.

Intended usage:

HyperbolicSystem hyperbolic_system;
const auto view = hyperbolic_system.template view<dim, Number>();
const auto flux_i = view.flux_contribution(...);
const auto flux_j = view.flux_contribution(...);
const auto flux_ij = view.flux_divergence(flux_i, flux_j, c_ij);
// etc.

Note: This class is designed to be copied by value into computation loops with access to either the host or device memory space.

Definition at line 172 of file hyperbolic_system.h.

Member Typedef Documentation

◆ ScalarNumber

template<int dim, typename Number , typename MemorySpace >

using ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::ScalarNumber = typename get_value_type<Number>::type

The underlying scalar number type.

Definition at line 188 of file hyperbolic_system.h.

◆ state_type

template<int dim, typename Number , typename MemorySpace >

using ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::state_type = dealii::Tensor<1, problem_dimension, Number>

Storage type for a (conserved) state vector \(\boldsymbol U\).

Definition at line 198 of file hyperbolic_system.h.

◆ flux_type

template<int dim, typename Number , typename MemorySpace >

using ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::flux_type = dealii::Tensor<1, problem_dimension, dealii::Tensor<1, dim, Number> >

Storage type for the flux \(\mathbf{f}\).

Definition at line 203 of file hyperbolic_system.h.

◆ flux_contribution_type

template<int dim, typename Number , typename MemorySpace >

using ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::flux_contribution_type = flux_type

The storage type used for flux contributions.

Definition at line 209 of file hyperbolic_system.h.

◆ precomputed_type

template<int dim, typename Number , typename MemorySpace >

using ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::precomputed_type = std::array<Number, n_precomputed_values>

Array type used for precomputed values.

Definition at line 219 of file hyperbolic_system.h.

◆ initial_precomputed_type

template<int dim, typename Number , typename MemorySpace >

using ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::initial_precomputed_type = std::array<Number, n_initial_precomputed_values>

Array type used for precomputed initial values.

Definition at line 229 of file hyperbolic_system.h.

◆ VectorView

template<int dim, typename Number , typename MemorySpace >

template<int n_comp>

using ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::VectorView = MultiComponentVectorView<ScalarNumber, n_comp, MemorySpace, false>

Definition at line 233 of file hyperbolic_system.h.

◆ PrecomputedVectorView

template<int dim, typename Number , typename MemorySpace >

using ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::PrecomputedVectorView = VectorView<n_precomputed_values>

MulticomponentVectorView for accessing a vector of precomputed states:

Definition at line 240 of file hyperbolic_system.h.

◆ InitialPrecomputedVectorView

template<int dim, typename Number , typename MemorySpace >

using ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::InitialPrecomputedVectorView = VectorView<n_initial_precomputed_values>

MulticomponentVectorView for accessing a vector of precomputed initial states:

Definition at line 246 of file hyperbolic_system.h.

Constructor & Destructor Documentation

◆ HyperbolicSystemView()

template<int dim, typename Number , typename MemorySpace >

ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::HyperbolicSystemView ( const HyperbolicSystem & hyperbolic_system )

inline

Constructor taking a reference to the underlying HyperbolicSystem

Definition at line 259 of file hyperbolic_system.h.

Member Function Documentation

◆ gamma()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE ScalarNumber ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::gamma ( ) const

inline

Definition at line 271 of file hyperbolic_system.h.

References ryujin::Euler::HyperbolicSystem::Parameters::gamma.

◆ reference_density()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE ScalarNumber ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::reference_density ( ) const

inline

Definition at line 276 of file hyperbolic_system.h.

References ryujin::Euler::HyperbolicSystem::Parameters::reference_density.

◆ vacuum_state_relaxation_small()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE ScalarNumber ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::vacuum_state_relaxation_small ( ) const

inline

Definition at line 282 of file hyperbolic_system.h.

References ryujin::Euler::HyperbolicSystem::Parameters::vacuum_state_relaxation_small.

◆ vacuum_state_relaxation_large()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE ScalarNumber ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::vacuum_state_relaxation_large ( ) const

inline

Definition at line 288 of file hyperbolic_system.h.

References ryujin::Euler::HyperbolicSystem::Parameters::vacuum_state_relaxation_large.

◆ gamma_inverse()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE ScalarNumber ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::gamma_inverse ( ) const

inline

Definition at line 303 of file hyperbolic_system.h.

References ryujin::Euler::HyperbolicSystem::Parameters::gamma_inverse.

◆ gamma_plus_one_inverse()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE ScalarNumber ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::gamma_plus_one_inverse ( ) const

inline

Definition at line 309 of file hyperbolic_system.h.

References ryujin::Euler::HyperbolicSystem::Parameters::gamma_plus_one_inverse.

◆ gamma_minus_one_inverse()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE ScalarNumber ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::gamma_minus_one_inverse ( ) const

inline

Definition at line 315 of file hyperbolic_system.h.

References ryujin::Euler::HyperbolicSystem::Parameters::gamma_minus_one_inverse.

◆ gamma_minus_one_over_gamma_plus_one()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE ScalarNumber ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::gamma_minus_one_over_gamma_plus_one ( ) const

inline

Definition at line 321 of file hyperbolic_system.h.

References ryujin::Euler::HyperbolicSystem::Parameters::gamma_minus_one_over_gamma_plus_one.

◆ density()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE Number ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::density ( const state_type & U )

static

For a given (2+dim dimensional) state vector U, return the density U[0]

Definition at line 786 of file hyperbolic_system.h.

◆ filter_vacuum_density()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE Number ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::filter_vacuum_density ( const Number & rho ) const

Given a density rho this function returns 0 if the magniatude of rho is smaller or equal than relaxation_large * rho_cutoff. Otherwise rho is returned unmodified. Here, rho_cutoff is the reference density multiplied by eps.

Definition at line 794 of file hyperbolic_system.h.

◆ momentum()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE dealii::Tensor< 1, dim, Number > ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::momentum ( const state_type & U )

static

For a given (2+dim dimensional) state vector U, return the momentum vector [U[1], ..., U[1+dim]].

Definition at line 808 of file hyperbolic_system.h.

◆ total_energy()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE Number ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::total_energy ( const state_type & U )

static

For a given (2+dim dimensional) state vector U, return the total energy U[1+dim]

Definition at line 820 of file hyperbolic_system.h.

◆ internal_energy()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE Number ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::internal_energy ( const state_type & U )

static

For a given (2+dim dimensional) state vector U, compute and return the internal energy \(\varepsilon = (\rho e)\).

Definition at line 829 of file hyperbolic_system.h.

◆ internal_energy_derivative()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::internal_energy_derivative ( const state_type & U )

static

For a given (2+dim dimensional) state vector U, compute and return the derivative of the internal energy \(\varepsilon = (\rho e)\).

Definition at line 844 of file hyperbolic_system.h.

◆ pressure()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE Number ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::pressure ( const state_type & U ) const

For a given (2+dim dimensional) state vector U, compute and return the pressure \(p\).

We assume that the pressure is given by a polytropic equation of state, i.e.,

\[ p = (\gamma - 1)\;(\rho e) \]

Definition at line 871 of file hyperbolic_system.h.

◆ speed_of_sound()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE Number ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::speed_of_sound ( const state_type & U ) const

For a given (2+dim dimensional) state vector U, compute the (physical) speed of sound:

\[ c^2 = \frac{\gamma\,p}{\rho} \]

Definition at line 881 of file hyperbolic_system.h.

◆ specific_entropy()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE Number ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::specific_entropy ( const state_type & U ) const

For a given (2+dim dimensional) state vector U, compute and return the (scaled) specific entropy

\[ e^{(\gamma-1)s} = \frac{\rho\,e}{\rho^\gamma}. \]

Definition at line 893 of file hyperbolic_system.h.

References ryujin::pow().

◆ harten_entropy()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE Number ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::harten_entropy ( const state_type & U ) const

For a given (2+dim dimensional) state vector U, compute and return the Harten-type entropy

\[ \eta = (\rho^2 e) ^ {1 / (\gamma + 1)}. \]

Definition at line 904 of file hyperbolic_system.h.

References ryujin::pow().

◆ harten_entropy_derivative()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::harten_entropy_derivative ( const state_type & U ) const

For a given (2+dim dimensional) state vector U, compute and return the derivative \(\eta'\) of the Harten-type entropy

\[ \eta = (\rho^2 e) ^ {1 / (\gamma + 1)}. \]

Definition at line 920 of file hyperbolic_system.h.

References ryujin::pow().

◆ mathematical_entropy()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE Number ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::mathematical_entropy ( const state_type & U ) const

For a given (2+dim dimensional) state vector U, compute and return the entropy \(\eta = p^{1/\gamma}\).

Definition at line 957 of file hyperbolic_system.h.

References ryujin::pow().

◆ mathematical_entropy_derivative()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::mathematical_entropy_derivative ( const state_type & U ) const

For a given (2+dim dimensional) state vector U, compute and return the derivative \(\eta'\) of the entropy \(\eta = p^{1/\gamma}\).

Definition at line 968 of file hyperbolic_system.h.

References ryujin::pow().

◆ is_admissible()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE bool ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::is_admissible ( const state_type & U ) const

Returns whether the state U is admissible. If U is a vectorized state then U is admissible if all vectorized values are admissible.

Definition at line 1005 of file hyperbolic_system.h.

◆ linearized_eigenvector() [1/2]

template<int dim, typename Number , typename MemorySpace >

template<int component>

DEAL_II_HOST_DEVICE std::array< state_type, 2 > ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::linearized_eigenvector	(	const state_type &	U,
		const dealii::Tensor< 1, dim, Number > &	normal
	)		const

For a given state U and normal direction normal returns the n-th pair of left and right eigenvectors of the linearized normal flux.

◆ prescribe_riemann_characteristic() [1/5]

template<int dim, typename Number , typename MemorySpace >

template<int component>

DEAL_II_HOST_DEVICE state_type ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::prescribe_riemann_characteristic	(	const state_type &	U,
		const state_type &	U_bar,
		const dealii::Tensor< 1, dim, Number > &	normal
	)		const

Decomposes a given state U into Riemann invariants and then replaces the first or second Riemann characteristic from the one taken from U_bar state. Note that the U_bar state is just the prescribed dirichlet values.

◆ apply_boundary_conditions() [1/6]

template<int dim, typename Number , typename MemorySpace >

template<typename Lambda >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE state_type ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::apply_boundary_conditions	(	const dealii::types::boundary_id	id,
		const state_type &	U,
		const dealii::Tensor< 1, dim, Number > &	normal,
		const Lambda &	get_dirichlet_data
	)		const

Apply boundary conditions.

For the compressible Euler equations we have:

Dirichlet boundary conditions by prescribing the return value of get_dirichlet_data() as is.
Slip boundary conditions where we remove the normal component of the momentum.
No slip boundary conditions where we set the momentum to 0.
"Dynamic boundary" conditions that prescribe different Riemann invariants from the return value of get_dirichlet_data() depending on the flow state (supersonic versus subsonic, outflow versus inflow).

◆ f()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::f ( const state_type & U ) const

Given a state U compute the flux

\[ \begin{pmatrix} \textbf m \\ \textbf v\otimes \textbf m + p\mathbb{I}_d \\ \textbf v(E+p) \end{pmatrix}, \]

Definition at line 1249 of file hyperbolic_system.h.

◆ flux_contribution() [1/2]

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::flux_contribution	(	const PrecomputedVectorView &	pv,
		const InitialPrecomputedVectorView &	ipv,
		const unsigned int	i,
		const state_type &	U_i
	)		const

Given a state U_i and an index i compute flux contributions.

Intended usage:

IndicatorView<dim, Number> indicator_view;
for (unsigned int i = n_internal; i < n_owned; ++i) {
  // ...
  const auto flux_i = flux_contribution(precomputed..., i, U_i);
  for (unsigned int col_idx = 1; col_idx < row_length; ++col_idx) {
    // ...
    const auto flux_j = flux_contribution(precomputed..., js, U_j);
    const auto flux_ij = flux_divergence(flux_i, flux_j, c_ij);
  }
}

For the Euler equations we simply compute f(U_i).

Definition at line 1272 of file hyperbolic_system.h.

◆ flux_contribution() [2/2]

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::flux_contribution	(	const PrecomputedVectorView &	pv,
		const InitialPrecomputedVectorView &	ipv,
		const unsigned int *	js,
		const state_type &	U_j
	)		const

Definition at line 1284 of file hyperbolic_system.h.

◆ flux_divergence()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::flux_divergence	(	const flux_contribution_type &	flux_i,
		const flux_contribution_type &	flux_j,
		const dealii::Tensor< 1, dim, Number > &	c_ij
	)		const

Given flux contributions flux_i and flux_j compute the flux (-f(U_i) - f(U_j) * c_ij

Definition at line 1296 of file hyperbolic_system.h.

References ryujin::add(), and ryujin::contract().

◆ high_order_flux_divergence()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE state_type ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::high_order_flux_divergence	(	const flux_contribution_type &	flux_i,
		const flux_contribution_type &	flux_j,
		const dealii::Tensor< 1, dim, Number > &	c_ij
	)		const

delete

◆ nodal_source() [1/2]

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE state_type ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::nodal_source	(	const PrecomputedVectorView &	pv,
		const unsigned int	i,
		const state_type &	U_i,
		const ScalarNumber	tau
	)		const

delete

◆ nodal_source() [2/2]

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE state_type ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::nodal_source	(	const PrecomputedVectorView &	pv,
		const unsigned int *	js,
		const state_type &	U_j,
		const ScalarNumber	tau
	)		const

delete

◆ expand_state() [1/5]

template<int dim, typename Number , typename MemorySpace >

template<typename ST >

DEAL_II_HOST_DEVICE state_type ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::expand_state ( const ST & state ) const

Given a state vector associated with a different spatial dimensions than the current one, return an "expanded" version of the state vector associated with dim spatial dimensions where the momentum vector of the conserved state state is expaned with zeros to a total length of dim entries.

Note: dim has to be larger or equal than the dimension of the ST vector.

◆ from_initial_state() [1/5]

template<int dim, typename Number , typename MemorySpace >

template<typename ST >

DEAL_II_HOST_DEVICE state_type ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::from_initial_state ( const ST & initial_state ) const

Given an initial state [rho, u_1, ..., u_d, p] return a conserved state [rho, m_1, ..., m_d, E].

This function simply calls from_primitive_state() and expand_state().

Note: This function is used to conveniently convert (user provided) primitive initial states with pressure values to a conserved state in the initial states of the Euler equations. As such, this function is implemented in the Euler::HyperbolicSystem and EulerAEOS::HyperbolicSystem classes.

◆ from_primitive_state()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::from_primitive_state ( const state_type & primitive_state ) const

Given a primitive state [rho, u_1, ..., u_d, p] return a conserved state

Definition at line 1342 of file hyperbolic_system.h.

References ryujin::state.

◆ to_primitive_state()

template<int dim, typename Number , typename MemorySpace >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::to_primitive_state ( const state_type & state ) const

Given a conserved state return a primitive state [rho, u_1, ..., u_d, p]

Definition at line 1364 of file hyperbolic_system.h.

References ryujin::state.

◆ apply_galilei_transform() [1/5]

template<int dim, typename Number , typename MemorySpace >

template<typename Lambda >

DEAL_II_HOST_DEVICE state_type ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::apply_galilei_transform	(	const state_type &	state,
		const Lambda &	lambda
	)		const

Transform the current state according to a given operator lambda acting on a dim dimensional momentum (or velocity) vector.

◆ linearized_eigenvector() [2/2]

template<int dim, typename Number , typename MemorySpace >

template<int component>

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::linearized_eigenvector	(	const state_type &	U,
		const dealii::Tensor< 1, dim, Number > &	normal
	)		const -> std::array<state_type, 2>

Definition at line 1036 of file hyperbolic_system.h.

◆ prescribe_riemann_characteristic() [2/5]

template<int dim, typename Number , typename MemorySpace >

template<int component>

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::prescribe_riemann_characteristic	(	const state_type &	U,
		const state_type &	U_bar,
		const dealii::Tensor< 1, dim, Number > &	normal
	)		const -> state_type

Definition at line 1091 of file hyperbolic_system.h.

References ryujin::pow().

◆ apply_boundary_conditions() [2/6]

template<int dim, typename Number , typename MemorySpace >

template<typename Lambda >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::apply_boundary_conditions	(	dealii::types::boundary_id	id,
		const state_type &	U,
		const dealii::Tensor< 1, dim, Number > &	normal,
		const Lambda &	get_dirichlet_data
	)		const -> state_type

Definition at line 1151 of file hyperbolic_system.h.

References ryujin::dirichlet, ryujin::dirichlet_momentum, ryujin::dirichlet_velocity, ryujin::dynamic, ryujin::no_slip, and ryujin::slip.

◆ expand_state() [2/5]

template<int dim, typename Number , typename MemorySpace >

template<typename ST >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::expand_state ( const ST & state ) const -> state_type

Definition at line 1308 of file hyperbolic_system.h.

References ryujin::state.

◆ from_initial_state() [2/5]

template<int dim, typename Number , typename MemorySpace >

template<typename ST >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::from_initial_state ( const ST & initial_state ) const -> state_type

Definition at line 1332 of file hyperbolic_system.h.

◆ apply_galilei_transform() [2/5]

template<int dim, typename Number , typename MemorySpace >

template<typename Lambda >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::apply_galilei_transform	(	const state_type &	state,
		const Lambda &	lambda
	)		const -> state_type

Definition at line 1385 of file hyperbolic_system.h.

References ryujin::state.

◆ prescribe_riemann_characteristic() [3/5]

template<int dim, typename Number , typename MemorySpace >

template<int component>

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::prescribe_riemann_characteristic	(	const state_type &	U,
		const Number &	p,
		const state_type &	U_bar,
		const Number &	p_bar,
		const dealii::Tensor< 1, dim, Number > &	normal
	)		const -> state_type

Definition at line 1390 of file hyperbolic_system.h.

References ryujin::pow().

◆ apply_boundary_conditions() [3/6]

template<int dim, typename Number , typename MemorySpace >

template<typename Lambda >

DEAL_II_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::apply_boundary_conditions	(	dealii::types::boundary_id	id,
		const state_type &	U,
		const dealii::Tensor< 1, dim, Number > &	normal,
		const Lambda &	get_dirichlet_data
	)		const -> state_type

inline

Definition at line 1544 of file hyperbolic_system.h.

References ryujin::dirichlet, ryujin::dirichlet_momentum, ryujin::dirichlet_velocity, ryujin::dynamic, ryujin::no_slip, and ryujin::slip.

◆ expand_state() [3/5]

template<int dim, typename Number , typename MemorySpace >

template<typename ST >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::expand_state ( const ST & state ) const -> state_type

Definition at line 1725 of file hyperbolic_system.h.

References ryujin::state.

◆ from_initial_state() [3/5]

template<int dim, typename Number , typename MemorySpace >

template<typename ST >

DEAL_II_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::from_initial_state ( const ST & initial_state ) const -> state_type

inline

Definition at line 1749 of file hyperbolic_system.h.

◆ apply_galilei_transform() [3/5]

template<int dim, typename Number , typename MemorySpace >

template<typename Lambda >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::apply_galilei_transform	(	const state_type &	state,
		const Lambda &	lambda
	)		const -> state_type

Definition at line 1810 of file hyperbolic_system.h.

References ryujin::state.

◆ prescribe_riemann_characteristic() [4/5]

template<int dim, typename Number , typename MemorySpace >

template<int component>

DEAL_II_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::prescribe_riemann_characteristic	(	const state_type &	,
		const Number &	,
		const state_type &	,
		const Number &	,
		const dealii::Tensor< 1, dim, Number > &
	)		const -> state_type

inline

Definition at line 905 of file hyperbolic_system.h.

◆ apply_boundary_conditions() [4/6]

template<int dim, typename Number , typename MemorySpace >

template<typename Lambda >

DEAL_II_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::apply_boundary_conditions	(	dealii::types::boundary_id	id,
		const state_type &	U,
		const dealii::Tensor< 1, dim, Number > &	normal,
		const Lambda &	get_dirichlet_data
	)		const -> state_type

inline

Definition at line 924 of file hyperbolic_system.h.

References ryujin::dirichlet, ryujin::dirichlet_momentum, ryujin::dirichlet_velocity, ryujin::dynamic, ryujin::no_slip, and ryujin::slip.

◆ expand_state() [4/5]

template<int dim, typename Number , typename MemorySpace >

template<typename ST >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::expand_state ( const ST & state ) const -> state_type

Definition at line 1081 of file hyperbolic_system.h.

References ryujin::state.

◆ from_initial_state() [4/5]

template<int dim, typename Number , typename MemorySpace >

template<typename ST >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::from_initial_state ( const ST & initial_state ) const -> state_type

Definition at line 1104 of file hyperbolic_system.h.

◆ apply_galilei_transform() [4/5]

template<int dim, typename Number , typename MemorySpace >

template<typename Lambda >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::apply_galilei_transform	(	const state_type &	state,
		const Lambda &	lambda
	)		const -> state_type

Definition at line 1148 of file hyperbolic_system.h.

References ryujin::state.

◆ apply_boundary_conditions() [5/6]

template<int dim, typename Number , typename MemorySpace >

template<typename Lambda >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::apply_boundary_conditions	(	dealii::types::boundary_id	id,
		const state_type &	U,
		const dealii::Tensor< 1, dim, Number > &	,
		const Lambda &	get_dirichlet_data
	)		const -> state_type

Definition at line 765 of file hyperbolic_system.h.

References ryujin::dirichlet, ryujin::dirichlet_momentum, ryujin::dirichlet_velocity, ryujin::dynamic, ryujin::no_slip, and ryujin::slip.

◆ prescribe_riemann_characteristic() [5/5]

template<int dim, typename Number , typename MemorySpace >

template<int component>

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::prescribe_riemann_characteristic	(	const state_type &	U,
		const state_type &	U_bar,
		const dealii::Tensor< 1, dim, Number > &	normal
	)		const -> state_type

Definition at line 922 of file hyperbolic_system.h.

◆ apply_boundary_conditions() [6/6]

template<int dim, typename Number , typename MemorySpace >

template<typename Lambda >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::apply_boundary_conditions	(	const dealii::types::boundary_id	id,
		const state_type &	U,
		const dealii::Tensor< 1, dim, Number > &	normal,
		const Lambda &	get_dirichlet_data
	)		const -> state_type

Definition at line 972 of file hyperbolic_system.h.

References ryujin::dirichlet, ryujin::dirichlet_momentum, ryujin::dirichlet_velocity, ryujin::dynamic, ryujin::no_slip, and ryujin::slip.

◆ expand_state() [5/5]

template<int dim, typename Number , typename MemorySpace >

template<typename ST >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::expand_state ( const ST & state ) const -> state_type

Definition at line 1298 of file hyperbolic_system.h.

References ryujin::state.

◆ from_initial_state() [5/5]

template<int dim, typename Number , typename MemorySpace >

template<typename ST >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::from_initial_state ( const ST & initial_state ) const -> state_type

Definition at line 1320 of file hyperbolic_system.h.

◆ apply_galilei_transform() [5/5]

template<int dim, typename Number , typename MemorySpace >

template<typename Lambda >

DEAL_II_HOST_DEVICE_ALWAYS_INLINE auto ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::apply_galilei_transform	(	const state_type &	state,
		const Lambda &	lambda
	)		const -> state_type

Definition at line 1363 of file hyperbolic_system.h.

References ryujin::state.

Member Data Documentation

◆ problem_dimension

template<int dim, typename Number , typename MemorySpace >

constexpr unsigned int ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::problem_dimension = 2 + dim

staticconstexpr

The dimension of the state space.

Definition at line 193 of file hyperbolic_system.h.

◆ n_precomputed_values

template<int dim, typename Number , typename MemorySpace >

constexpr unsigned int ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::n_precomputed_values = 2

staticconstexpr

The number of precomputed values.

Definition at line 214 of file hyperbolic_system.h.

◆ n_initial_precomputed_values

template<int dim, typename Number , typename MemorySpace >

constexpr unsigned int ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::n_initial_precomputed_values = 0

staticconstexpr

The number of precomputed initial values.

Definition at line 224 of file hyperbolic_system.h.

◆ have_gamma

template<int dim, typename Number , typename MemorySpace >

constexpr bool ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::have_gamma = true

staticconstexpr

Definition at line 332 of file hyperbolic_system.h.

◆ have_covolume_constant

template<int dim, typename Number , typename MemorySpace >

constexpr bool ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::have_covolume_constant = false

staticconstexpr

Definition at line 333 of file hyperbolic_system.h.

◆ have_energy_equation

template<int dim, typename Number , typename MemorySpace >

constexpr bool ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::have_energy_equation = true

staticconstexpr

Definition at line 334 of file hyperbolic_system.h.

◆ have_high_order_flux

template<int dim, typename Number , typename MemorySpace >

constexpr bool ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::have_high_order_flux = false

staticconstexpr

The low-order and high-order fluxes are the same

Definition at line 569 of file hyperbolic_system.h.

◆ have_source_terms

template<int dim, typename Number , typename MemorySpace >

constexpr bool ryujin::Euler::HyperbolicSystemView< dim, Number, MemorySpace >::have_source_terms = false

staticconstexpr

We do not have source terms:

Definition at line 584 of file hyperbolic_system.h.

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

include/ryujin/euler/hyperbolic_system.h
include/ryujin/euler_aeos/hyperbolic_system.h
include/ryujin/euler_barotropic/hyperbolic_system.h
include/ryujin/scalar_conservation/hyperbolic_system.h
include/ryujin/shallow_water/hyperbolic_system.h

Public Member Functions

Static Public Attributes

Typedefs and constexpr constants

Flux computations

Computing stencil source terms

Computing derived physical quantities

Detailed Description

Member Typedef Documentation

◆ ScalarNumber

◆ state_type

◆ flux_type

◆ flux_contribution_type

◆ precomputed_type

◆ initial_precomputed_type

◆ VectorView

◆ PrecomputedVectorView

◆ InitialPrecomputedVectorView

Constructor & Destructor Documentation

◆ HyperbolicSystemView()

Member Function Documentation

◆ gamma()

◆ reference_density()

◆ vacuum_state_relaxation_small()

◆ vacuum_state_relaxation_large()

◆ gamma_inverse()

◆ gamma_plus_one_inverse()

◆ gamma_minus_one_inverse()

◆ gamma_minus_one_over_gamma_plus_one()

◆ density()

◆ filter_vacuum_density()

◆ momentum()

◆ total_energy()

◆ internal_energy()

◆ internal_energy_derivative()

◆ pressure()

◆ speed_of_sound()

◆ specific_entropy()

◆ harten_entropy()

◆ harten_entropy_derivative()

◆ mathematical_entropy()

◆ mathematical_entropy_derivative()

◆ is_admissible()

◆ linearized_eigenvector() [1/2]

◆ prescribe_riemann_characteristic() [1/5]

◆ apply_boundary_conditions() [1/6]

◆ f()

◆ flux_contribution() [1/2]

◆ flux_contribution() [2/2]

◆ flux_divergence()

◆ high_order_flux_divergence()

◆ nodal_source() [1/2]

◆ nodal_source() [2/2]

◆ expand_state() [1/5]

◆ from_initial_state() [1/5]

◆ from_primitive_state()

◆ to_primitive_state()

◆ apply_galilei_transform() [1/5]

◆ linearized_eigenvector() [2/2]

◆ prescribe_riemann_characteristic() [2/5]

◆ apply_boundary_conditions() [2/6]

◆ expand_state() [2/5]

◆ from_initial_state() [2/5]

◆ apply_galilei_transform() [2/5]

◆ prescribe_riemann_characteristic() [3/5]

◆ apply_boundary_conditions() [3/6]

◆ expand_state() [3/5]

◆ from_initial_state() [3/5]

◆ apply_galilei_transform() [3/5]

◆ prescribe_riemann_characteristic() [4/5]

◆ apply_boundary_conditions() [4/6]

◆ expand_state() [4/5]

◆ from_initial_state() [4/5]

◆ apply_galilei_transform() [4/5]

◆ apply_boundary_conditions() [5/6]

◆ prescribe_riemann_characteristic() [5/5]

◆ apply_boundary_conditions() [6/6]

◆ expand_state() [5/5]

◆ from_initial_state() [5/5]

◆ apply_galilei_transform() [5/5]

Member Data Documentation