#include <source/euler_aeos/hyperbolic_system.h>

Public Member Functions
Constructor and setup
	HyperbolicSystemView (const HyperbolicSystem &hyperbolic_system)

Access to runtime parameters
DEAL_II_ALWAYS_INLINE const std::string &	equation_of_state () const

DEAL_II_ALWAYS_INLINE ScalarNumber	reference_density () const

DEAL_II_ALWAYS_INLINE ScalarNumber	vacuum_state_relaxation_small () const

DEAL_II_ALWAYS_INLINE ScalarNumber	vacuum_state_relaxation_large () const

DEAL_II_ALWAYS_INLINE bool	compute_strict_bounds () const

Low-level access to the selected equation of state
DEAL_II_ALWAYS_INLINE Number	eos_pressure (const Number &rho, const Number &e) const

DEAL_II_ALWAYS_INLINE Number	eos_specific_internal_energy (const Number &rho, const Number &p) const

DEAL_II_ALWAYS_INLINE Number	eos_specific_entropy (const Number &rho, const Number &e) const

DEAL_II_ALWAYS_INLINE Number	eos_cold_curve_bound (const Number &rho) const

DEAL_II_ALWAYS_INLINE Number	eos_temperature (const Number &rho, const Number &e) const

DEAL_II_ALWAYS_INLINE Number	eos_speed_of_sound (const Number &rho, const Number &e) const

DEAL_II_ALWAYS_INLINE ScalarNumber	eos_covolume_constant () const

DEAL_II_ALWAYS_INLINE ScalarNumber	eos_interpolation_pinfty () const

DEAL_II_ALWAYS_INLINE ScalarNumber	eos_interpolation_q () const

Surrogate functions for computing various interpolatory
physical quantities that are needed for Riemann solver, indicator and limiter.
Number	surrogate_specific_entropy (const state_type &U, const Number &gamma_min) const

Number	surrogate_harten_entropy (const state_type &U, const Number &gamma_min) const

state_type	surrogate_harten_entropy_derivative (const state_type &U, const Number &eta, const Number &gamma_min) const

Number	surrogate_gamma (const state_type &U, const Number &p) const

Number	surrogate_pressure (const state_type &U, const Number &gamma) const

Number	surrogate_speed_of_sound (const state_type &U, const Number &gamma) const

bool	is_admissible (const state_type &U) const

Special functions for boundary states
template<int component>
state_type	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

template<typename Lambda >
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 >
state_type	expand_state (const ST &state) const

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

state_type	from_primitive_state (const state_type &primitive_state) const

state_type	to_primitive_state (const state_type &state) const

template<typename Lambda >
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 = false

static constexpr bool	have_covolume_constant = true

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 >

using	StateVector = Vectors::StateVector< ScalarNumber, problem_dimension, n_precomputed_values >

using	HyperbolicVector = Vectors::MultiComponentVector< ScalarNumber, problem_dimension >

using	PrecomputedVector = Vectors::MultiComponentVector< ScalarNumber, n_precomputed_values >

using	PrecomputedVectorView = Vectors::MultiComponentVectorView< ScalarNumber, n_precomputed_values, dealii::VectorizedArray< ScalarNumber >::size(), dealii::MemorySpace::Host, false >

using	InitialPrecomputedVector = Vectors::MultiComponentVector< ScalarNumber, n_initial_precomputed_values >

using	InitialPrecomputedVectorView = Vectors::MultiComponentVectorView< ScalarNumber, n_initial_precomputed_values, dealii::VectorizedArray< ScalarNumber >::size(), dealii::MemorySpace::Host, false >

static constexpr unsigned int	problem_dimension = 2 + dim

static const auto	component_names

static const auto	primitive_component_names

static constexpr unsigned int	n_precomputed_values = 4

static const auto	precomputed_names

static constexpr unsigned int	n_initial_precomputed_values = 0

static const auto	initial_precomputed_names

Flux computations
static constexpr bool	have_high_order_flux = false

flux_type	f (const state_type &U, const Number &p) const

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

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

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

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

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

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
Number	filter_vacuum_density (const Number &rho) const

static Number	density (const state_type &U)

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

static Number	total_energy (const state_type &U)

static Number	internal_energy (const state_type &U)

static state_type	internal_energy_derivative (const state_type &U)

Detailed Description

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

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.

Definition at line 164 of file hyperbolic_system.h.

Member Typedef Documentation

◆ ScalarNumber

template<int dim, typename Number >

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

The underlying scalar number type.

Definition at line 175 of file hyperbolic_system.h.

◆ state_type

template<int dim, typename Number >

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

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

Definition at line 185 of file hyperbolic_system.h.

◆ flux_type

template<int dim, typename Number >

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

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

Definition at line 190 of file hyperbolic_system.h.

◆ flux_contribution_type

template<int dim, typename Number >

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

The storage type used for flux contributions.

Definition at line 196 of file hyperbolic_system.h.

◆ precomputed_type

template<int dim, typename Number >

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

Array type used for precomputed values.

Definition at line 236 of file hyperbolic_system.h.

◆ initial_precomputed_type

template<int dim, typename Number >

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

Array type used for precomputed initial values.

Definition at line 256 of file hyperbolic_system.h.

◆ StateVector

template<int dim, typename Number >

using ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::StateVector = Vectors:: StateVector<ScalarNumber, problem_dimension, n_precomputed_values>

A compound state vector.

Definition at line 268 of file hyperbolic_system.h.

◆ HyperbolicVector

template<int dim, typename Number >

using ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::HyperbolicVector = Vectors::MultiComponentVector<ScalarNumber, problem_dimension>

MulticomponentVector for storing the hyperbolic state vector:

Definition at line 274 of file hyperbolic_system.h.

◆ PrecomputedVector

template<int dim, typename Number >

using ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::PrecomputedVector = Vectors::MultiComponentVector<ScalarNumber, n_precomputed_values>

MulticomponentVector for storing a vector of precomputed states:

Definition at line 280 of file hyperbolic_system.h.

◆ PrecomputedVectorView

template<int dim, typename Number >

using ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::PrecomputedVectorView = Vectors::MultiComponentVectorView< ScalarNumber, n_precomputed_values, dealii::VectorizedArray<ScalarNumber>::size(), dealii::MemorySpace::Host, false>

MulticomponentVectorView for accessing a vector of precomputed states:

Definition at line 287 of file hyperbolic_system.h.

◆ InitialPrecomputedVector

template<int dim, typename Number >

using ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::InitialPrecomputedVector = Vectors::MultiComponentVector<ScalarNumber, n_initial_precomputed_values>

MulticomponentVector for storing a vector of precomputed initial states:

Definition at line 298 of file hyperbolic_system.h.

◆ InitialPrecomputedVectorView

template<int dim, typename Number >

using ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::InitialPrecomputedVectorView = Vectors::MultiComponentVectorView< ScalarNumber, n_initial_precomputed_values, dealii::VectorizedArray<ScalarNumber>::size(), dealii::MemorySpace::Host, false>

MulticomponentVectorView for accessing a vector of precomputed initial states:

Definition at line 306 of file hyperbolic_system.h.

Constructor & Destructor Documentation

◆ HyperbolicSystemView()

template<int dim, typename Number >

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

inline

Constructor taking a reference to the underlying HyperbolicSystem

Definition at line 323 of file hyperbolic_system.h.

Member Function Documentation

◆ equation_of_state()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE const std::string & ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::equation_of_state ( ) const

inline

Definition at line 334 of file hyperbolic_system.h.

◆ reference_density()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE ScalarNumber ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::reference_density ( ) const

inline

Definition at line 339 of file hyperbolic_system.h.

◆ vacuum_state_relaxation_small()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE ScalarNumber ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::vacuum_state_relaxation_small ( ) const

inline

Definition at line 345 of file hyperbolic_system.h.

◆ vacuum_state_relaxation_large()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE ScalarNumber ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::vacuum_state_relaxation_large ( ) const

inline

Definition at line 351 of file hyperbolic_system.h.

◆ compute_strict_bounds()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE bool ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::compute_strict_bounds ( ) const

inline

Definition at line 356 of file hyperbolic_system.h.

◆ eos_pressure()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::eos_pressure	(	const Number &	rho,
		const Number &	e
	)		const

inline

For a given density \(\rho\) and specific internal energy \(e\) return the pressure \(p\).

Definition at line 371 of file hyperbolic_system.h.

◆ eos_specific_internal_energy()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::eos_specific_internal_energy	(	const Number &	rho,
		const Number &	p
	)		const

inline

For a given density \(\rho\) and pressure \(p\) return the specific internal energy \(e\).

Definition at line 392 of file hyperbolic_system.h.

◆ eos_specific_entropy()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::eos_specific_entropy	(	const Number &	rho,
		const Number &	e
	)		const

inline

For a given density \(\rho\) and specific internal energy \(e\) return the specific entropy \(s\).

Definition at line 412 of file hyperbolic_system.h.

◆ eos_cold_curve_bound()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::eos_cold_curve_bound ( const Number & rho ) const

inline

For a given density \(\rho\) return the cold curve bound \(e\ge e_{s_0}(\rho)\).

Definition at line 432 of file hyperbolic_system.h.

◆ eos_temperature()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::eos_temperature	(	const Number &	rho,
		const Number &	e
	)		const

inline

For a given density \(\rho\) and specific internal energy \(e\) return the temperature \(T\).

Definition at line 451 of file hyperbolic_system.h.

◆ eos_speed_of_sound()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::eos_speed_of_sound	(	const Number &	rho,
		const Number &	e
	)		const

inline

For a given density \(\rho\) and specific internal energy \(e\) return the sound speed \(a\).

Definition at line 472 of file hyperbolic_system.h.

◆ eos_covolume_constant()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE ScalarNumber ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::eos_covolume_constant ( ) const

inline

Return the interpolatory covolume \(b_{\text{interp}}\).

Definition at line 490 of file hyperbolic_system.h.

◆ eos_interpolation_pinfty()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE ScalarNumber ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::eos_interpolation_pinfty ( ) const

inline

Return the interpolatory reference pressure \(p_{\infty}\).

Definition at line 499 of file hyperbolic_system.h.

◆ eos_interpolation_q()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE ScalarNumber ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::eos_interpolation_q ( ) const

inline

Return the interpolatory reference specific internal energy \(q\).

Definition at line 509 of file hyperbolic_system.h.

◆ density()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::density ( const state_type & U )

inlinestatic

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

Definition at line 1029 of file hyperbolic_system.h.

◆ filter_vacuum_density()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::filter_vacuum_density ( const Number & rho ) const

inline

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 1037 of file hyperbolic_system.h.

◆ momentum()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE dealii::Tensor< 1, dim, Number > ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::momentum ( const state_type & U )

inlinestatic

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

Definition at line 1051 of file hyperbolic_system.h.

◆ total_energy()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::total_energy ( const state_type & U )

inlinestatic

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

Definition at line 1062 of file hyperbolic_system.h.

◆ internal_energy()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::internal_energy ( const state_type & U )

inlinestatic

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

Definition at line 1070 of file hyperbolic_system.h.

◆ internal_energy_derivative()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE auto ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::internal_energy_derivative ( const state_type & U )

inlinestatic

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

Definition at line 1084 of file hyperbolic_system.h.

◆ surrogate_specific_entropy()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::surrogate_specific_entropy	(	const state_type &	U,
		const Number &	gamma_min
	)		const

inline

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

\[ e^{(\gamma_{\text{min}} - 1)s} = \frac{\rho\,(e-q)-p_{\infty}(1-b\rho)}{\rho^\gamma_{\text{min}}} (1 - b\,\rho)^{\gamma_{\text{min}} -1}. \]

Definition at line 1111 of file hyperbolic_system.h.

References ryujin::pow().

◆ surrogate_harten_entropy()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::surrogate_harten_entropy	(	const state_type &	U,
		const Number &	gamma_min
	)		const

inline

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

\[ \eta = (1-b\,\rho)^{\frac{\gamma_{\text{min}-1}}{\gamma_{\text{min}}+1}} \big(\rho^2 (e-q) - \rho p_{\infty}(1-b\,\rho)\big) ^{1/(\gamma_{\text{min}}+1)} \]

Definition at line 1131 of file hyperbolic_system.h.

References ryujin::positive_part(), and ryujin::pow().

◆ surrogate_harten_entropy_derivative()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE auto ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::surrogate_harten_entropy_derivative	(	const state_type &	U,
		const Number &	eta,
		const Number &	gamma_min
	)		const

inline

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

\[ \eta = (1-b\,\rho)^{\frac{\gamma_{\text{min}-1}}{\gamma_{\text{min}}+1}} \big(\rho^2 (e-q) - \rho p_{\infty}(1-b\,\rho)\big) ^{1/(\gamma_{\text{min}}+1)} \]

Definition at line 1158 of file hyperbolic_system.h.

References ryujin::pow(), and ryujin::EulerAEOS::safe_division().

◆ surrogate_gamma()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::surrogate_gamma	(	const state_type &	U,
		const Number &	p
	)		const

inline

For a given (2+dim dimensional) state vector U and pressure p, compute a surrogate gamma:

\[ \gamma(\rho, e, p) = 1 + \frac{(p + p_{\infty})(1 - b \rho)} {\rho (e-q) - p_{\infty}(1-b \rho)} \]

This function is used in various places to create interpolations of the pressure.

Definition at line 1214 of file hyperbolic_system.h.

References ryujin::EulerAEOS::safe_division().

◆ surrogate_pressure()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::surrogate_pressure	(	const state_type &	U,
		const Number &	gamma
	)		const

inline

For a given (2+dim dimensional) state vector U and gamma gamma, compute a surrogate pressure:

\[ p(\rho, e, \gamma) = (\gamma - 1) \frac{\rho (e - q)}{1 - b \rho} -\gamma\,p_{\infty} \]

This function is the complementary function to surrogate_gamma(), meaning the following property holds true:

surrogate_gamma(U, surrogate_pressure(U, gamma)) == gamma

surrogate_pressure(U, surrogate_gamma(U, p)) == p

ryujin::EulerAEOS::HyperbolicSystemView::surrogate_pressure

Number surrogate_pressure(const state_type &U, const Number &gamma) const

Definition hyperbolic_system.h:1233

ryujin::EulerAEOS::HyperbolicSystemView::surrogate_gamma

Number surrogate_gamma(const state_type &U, const Number &p) const

Definition hyperbolic_system.h:1214

Definition at line 1233 of file hyperbolic_system.h.

References ryujin::positive_part(), and ryujin::EulerAEOS::safe_division().

◆ surrogate_speed_of_sound()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::surrogate_speed_of_sound	(	const state_type &	U,
		const Number &	gamma
	)		const

inline

For a given (2+dim dimensional) state vector U and gamma gamma, compute a surrogate speed of sound:

\begin{align} c^2(\rho, e, \gamma) = \frac{\gamma (p + p_\infty)}{\rho X} = \frac{\gamma (\gamma -1)[\rho (e - q) - p_\infty X]}{\rho X^2} \end{align}

Definition at line 1252 of file hyperbolic_system.h.

References ryujin::positive_part().

◆ is_admissible()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE bool ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::is_admissible ( const state_type & U ) const

inline

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 1272 of file hyperbolic_system.h.

◆ prescribe_riemann_characteristic()

template<int dim, typename Number >

template<int component>

state_type ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::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

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()

template<int dim, typename Number >

template<typename Lambda >

state_type ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::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 >

DEAL_II_ALWAYS_INLINE auto ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::f	(	const state_type &	U,
		const Number &	p
	)		const

inline

Given a state U and a pressure p 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 1577 of file hyperbolic_system.h.

◆ flux_contribution() [1/2]

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE auto ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::flux_contribution	(	const PrecomputedVectorView &	pv,
		const InitialPrecomputedVectorView &	piv,
		const unsigned int	i,
		const state_type &	U_i
	)		const

inline

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 1599 of file hyperbolic_system.h.

◆ flux_contribution() [2/2]

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE auto ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::flux_contribution	(	const PrecomputedVectorView &	pv,
		const InitialPrecomputedVectorView &	piv,
		const unsigned int *	js,
		const state_type &	U_j
	)		const

inline

Definition at line 1613 of file hyperbolic_system.h.

◆ flux_divergence()

template<int dim, typename Number >

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

inline

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

Definition at line 1627 of file hyperbolic_system.h.

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

◆ high_order_flux_divergence()

template<int dim, typename Number >

state_type ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::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 >

state_type ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::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 >

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

delete

◆ expand_state()

template<int dim, typename Number >

template<typename ST >

state_type ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::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()

template<int dim, typename Number >

template<typename ST >

state_type ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::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]. Most notably, the specific equation of state oracle is queried to convert the pressure value into a specific internal energy.

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

◆ from_primitive_state()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE auto ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::from_primitive_state ( const state_type & primitive_state ) const

inline

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

Definition at line 1679 of file hyperbolic_system.h.

◆ to_primitive_state()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE auto ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::to_primitive_state ( const state_type & state ) const

inline

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

Definition at line 1702 of file hyperbolic_system.h.

◆ apply_galilei_transform()

template<int dim, typename Number >

template<typename Lambda >

state_type ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::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.

Member Data Documentation

◆ problem_dimension

template<int dim, typename Number >

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

staticconstexpr

The dimension of the state space.

Definition at line 180 of file hyperbolic_system.h.

◆ component_names

template<int dim, typename Number >

const auto ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::component_names

inlinestatic

Initial value:

=
          []() -> std::array<std::string, problem_dimension> {
        if constexpr (dim == 1)
          return {"rho", "m", "E"};
        else if constexpr (dim == 2)
          return {"rho", "m_1", "m_2", "E"};
        else if constexpr (dim == 3)
          return {"rho", "m_1", "m_2", "m_3", "E"};
        __builtin_trap();
      }()

An array holding all component names of the conserved state as a string.

Definition at line 202 of file hyperbolic_system.h.

◆ primitive_component_names

template<int dim, typename Number >

const auto ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::primitive_component_names

inlinestatic

Initial value:

=
          []() -> std::array<std::string, problem_dimension> {
        if constexpr (dim == 1)
          return {"rho", "v", "e"};
        else if constexpr (dim == 2)
          return {"rho", "v_1", "v_2", "e"};
        else if constexpr (dim == 3)
          return {"rho", "v_1", "v_2", "v_3", "e"};
        __builtin_trap();
      }()

An array holding all component names of the primitive state as a string.

Definition at line 217 of file hyperbolic_system.h.

◆ n_precomputed_values

template<int dim, typename Number >

constexpr unsigned int ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::n_precomputed_values = 4

staticconstexpr

The number of precomputed values.

Definition at line 231 of file hyperbolic_system.h.

◆ precomputed_names

template<int dim, typename Number >

const auto ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::precomputed_names

inlinestatic

Initial value:

=
          std::array<std::string, n_precomputed_values>{
              {"p",
               "surrogate_gamma_min",
               "surrogate_specific_entropy",
               "surrogate_harten_entropy"}}

An array holding all component names of the precomputed values.

Definition at line 241 of file hyperbolic_system.h.

◆ n_initial_precomputed_values

template<int dim, typename Number >

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

staticconstexpr

The number of precomputed initial values.

Definition at line 251 of file hyperbolic_system.h.

◆ initial_precomputed_names

template<int dim, typename Number >

const auto ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::initial_precomputed_names

inlinestatic

Initial value:

=

std::array<std::string, n_initial_precomputed_values>{}

An array holding all component names of the precomputed values.

Definition at line 262 of file hyperbolic_system.h.

◆ have_gamma

template<int dim, typename Number >

constexpr bool ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::have_gamma = false

staticconstexpr

Definition at line 521 of file hyperbolic_system.h.

◆ have_covolume_constant

template<int dim, typename Number >

constexpr bool ryujin::EulerAEOS::HyperbolicSystemView< dim, Number >::have_covolume_constant = true

staticconstexpr

Definition at line 522 of file hyperbolic_system.h.

◆ have_energy_equation

template<int dim, typename Number >

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

staticconstexpr

Definition at line 523 of file hyperbolic_system.h.

◆ have_high_order_flux

template<int dim, typename Number >

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

staticconstexpr

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

Definition at line 772 of file hyperbolic_system.h.

◆ have_source_terms

template<int dim, typename Number >

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

staticconstexpr

We do not have source terms

Definition at line 786 of file hyperbolic_system.h.

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

source/euler_aeos/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

◆ StateVector

◆ HyperbolicVector

◆ PrecomputedVector

◆ PrecomputedVectorView

◆ InitialPrecomputedVector

◆ InitialPrecomputedVectorView

Constructor & Destructor Documentation

◆ HyperbolicSystemView()

Member Function Documentation

◆ equation_of_state()

◆ reference_density()

◆ vacuum_state_relaxation_small()

◆ vacuum_state_relaxation_large()

◆ compute_strict_bounds()

◆ eos_pressure()

◆ eos_specific_internal_energy()

◆ eos_specific_entropy()

◆ eos_cold_curve_bound()

◆ eos_temperature()

◆ eos_speed_of_sound()

◆ eos_covolume_constant()

◆ eos_interpolation_pinfty()

◆ eos_interpolation_q()

◆ density()

◆ filter_vacuum_density()

◆ momentum()

◆ total_energy()

◆ internal_energy()

◆ internal_energy_derivative()

◆ surrogate_specific_entropy()

◆ surrogate_harten_entropy()

◆ surrogate_harten_entropy_derivative()

◆ surrogate_gamma()

◆ surrogate_pressure()

◆ surrogate_speed_of_sound()

◆ is_admissible()

◆ prescribe_riemann_characteristic()

◆ apply_boundary_conditions()

◆ 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()

◆ from_initial_state()

◆ from_primitive_state()

◆ to_primitive_state()

◆ apply_galilei_transform()

Member Data Documentation

◆ problem_dimension

◆ component_names

◆ primitive_component_names

◆ n_precomputed_values

◆ precomputed_names

◆ n_initial_precomputed_values

◆ initial_precomputed_names

◆ have_gamma

◆ have_covolume_constant

◆ have_energy_equation

◆ have_high_order_flux

◆ have_source_terms