#include <source/shallow_water/hyperbolic_system.h>

Public Types
using	ScalarNumber = typename get_value_type< Number >::type

Public Member Functions
	HyperbolicSystemView (const HyperbolicSystem &hyperbolic_system)

template<int dim2, typename Number2 >
auto	view () const

Access to runtime parameters
DEAL_II_ALWAYS_INLINE ScalarNumber	gravity () const

DEAL_II_ALWAYS_INLINE ScalarNumber	manning_friction_coefficient () const

DEAL_II_ALWAYS_INLINE ScalarNumber	reference_water_depth () const

DEAL_II_ALWAYS_INLINE ScalarNumber	dry_state_relaxation_factor () const

DEAL_II_ALWAYS_INLINE ScalarNumber	dry_state_relaxation_small () const

DEAL_II_ALWAYS_INLINE ScalarNumber	dry_state_relaxation_large () const

Special functions for boundary states
template<int component>
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 >
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 (primitive states, expanding
dimensionality, Galilei transform, etc.)
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

Types and compile time constants
using	state_type = dealii::Tensor< 1, problem_dimension, Number >

using	vector_type = MultiComponentVector< ScalarNumber, problem_dimension >

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

using	flux_contribution_type = std::tuple< state_type, Number >

static constexpr unsigned int	problem_dimension = dim + 1

static const auto	component_names

static const auto	primitive_component_names

Precomputed quantities
using	precomputed_initial_state_type = std::array< Number, n_precomputed_initial_values >

using	precomputed_initial_vector_type = MultiComponentVector< ScalarNumber, n_precomputed_initial_values >

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

using	precomputed_vector_type = MultiComponentVector< ScalarNumber, n_precomputed_values >

static constexpr unsigned int	n_precomputed_initial_values = 1

static const auto	precomputed_initial_names

static constexpr unsigned int	n_precomputed_values = 2

static const auto	precomputed_names

static constexpr unsigned int	n_precomputation_cycles = 1

template<typename DISPATCH , typename SPARSITY >
void	precomputation_loop (unsigned int cycle, const DISPATCH &dispatch_check, precomputed_vector_type &precomputed_values, const SPARSITY &sparsity_simd, const vector_type &U, unsigned int left, unsigned int right) const

Flux computations
static constexpr bool	have_high_order_flux = true

flux_type	f (const state_type &U) const

flux_type	g (const state_type &U) const

state_type	star_state (const state_type &U, const Number &Z_left, const Number &Z_right) const

std::array< state_type, 2 >	equilibrated_states (const flux_contribution_type &, const flux_contribution_type &) const

flux_contribution_type	flux_contribution (const precomputed_vector_type &pv, const precomputed_initial_vector_type &piv, const unsigned int i, const state_type &U_i) const

flux_contribution_type	flux_contribution (const precomputed_vector_type &pv, const precomputed_initial_vector_type &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

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

Computing source terms
static constexpr bool	have_source_terms = true

state_type	manning_friction (const state_type &U, const Number &h_star, const ScalarNumber tau) const

state_type	nodal_source (const precomputed_vector_type &pv, const unsigned int i, const state_type &U_i, const ScalarNumber tau) const

state_type	nodal_source (const precomputed_vector_type &pv, const unsigned int *js, const state_type &U_j, const ScalarNumber tau) const

Computing derived physical quantities
Number	inverse_water_depth_mollified (const state_type &U) const

Number	water_depth_sharp (const state_type &U) const

Number	inverse_water_depth_sharp (const state_type &U) const

Number	filter_dry_water_depth (const Number &h) const

Number	kinetic_energy (const state_type &U) const

Number	pressure (const state_type &U) const

Number	speed_of_sound (const state_type &U) const

Number	mathematical_entropy (const state_type &U) const

state_type	mathematical_entropy_derivative (const state_type &U) const

bool	is_admissible (const state_type &U) const

static Number	water_depth (const state_type &U)

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

Detailed Description

template<int dim, typename Number>
class ryujin::ShallowWater::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 100 of file hyperbolic_system.h.

Member Typedef Documentation

◆ ScalarNumber

template<int dim, typename Number >

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

The underlying scalar number type.

Definition at line 124 of file hyperbolic_system.h.

◆ state_type

template<int dim, typename Number >

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

The storage type used for a (conserved) state vector \(\boldsymbol U\).

Definition at line 190 of file hyperbolic_system.h.

◆ vector_type

template<int dim, typename Number >

using ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::vector_type = MultiComponentVector<ScalarNumber, problem_dimension>

MulticomponentVector for storing a vector of conserved states:

Definition at line 195 of file hyperbolic_system.h.

◆ flux_type

template<int dim, typename Number >

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

The storage type used for the flux \(\mathbf{f}\).

Definition at line 230 of file hyperbolic_system.h.

◆ flux_contribution_type

template<int dim, typename Number >

using ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::flux_contribution_type = std::tuple<state_type, Number>

The storage type used for flux contributions.

Definition at line 236 of file hyperbolic_system.h.

◆ precomputed_initial_state_type

template<int dim, typename Number >

using ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::precomputed_initial_state_type = std::array<Number, n_precomputed_initial_values>

Array type used for precomputed initial values.

Definition at line 252 of file hyperbolic_system.h.

◆ precomputed_initial_vector_type

template<int dim, typename Number >

using ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::precomputed_initial_vector_type = MultiComponentVector<ScalarNumber, n_precomputed_initial_values>

MulticomponentVector for storing a vector of precomputed initial states:

Definition at line 259 of file hyperbolic_system.h.

◆ precomputed_state_type

template<int dim, typename Number >

using ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::precomputed_state_type = std::array<Number, n_precomputed_values>

Array type used for precomputed values.

Definition at line 276 of file hyperbolic_system.h.

◆ precomputed_vector_type

template<int dim, typename Number >

using ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::precomputed_vector_type = MultiComponentVector<ScalarNumber, n_precomputed_values>

MulticomponentVector for storing a vector of precomputed states:

Definition at line 281 of file hyperbolic_system.h.

Constructor & Destructor Documentation

◆ HyperbolicSystemView()

template<int dim, typename Number >

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

inline

Constructor taking a reference to the underlying HyperbolicSystem

Definition at line 107 of file hyperbolic_system.h.

Member Function Documentation

◆ view()

template<int dim, typename Number >

template<int dim2, typename Number2 >

auto ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::view ( ) const

inline

Create a modified view from the current one:

Definition at line 116 of file hyperbolic_system.h.

◆ gravity()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE ScalarNumber ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::gravity ( ) const

inline

Definition at line 131 of file hyperbolic_system.h.

◆ manning_friction_coefficient()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE ScalarNumber ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::manning_friction_coefficient ( ) const

inline

Definition at line 137 of file hyperbolic_system.h.

◆ reference_water_depth()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE ScalarNumber ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::reference_water_depth ( ) const

inline

Definition at line 142 of file hyperbolic_system.h.

◆ dry_state_relaxation_factor()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE ScalarNumber ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::dry_state_relaxation_factor ( ) const

inline

Definition at line 148 of file hyperbolic_system.h.

◆ dry_state_relaxation_small()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE ScalarNumber ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::dry_state_relaxation_small ( ) const

inline

Definition at line 154 of file hyperbolic_system.h.

◆ dry_state_relaxation_large()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE ScalarNumber ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::dry_state_relaxation_large ( ) const

inline

Definition at line 160 of file hyperbolic_system.h.

◆ precomputation_loop()

template<int dim, typename Number >

template<typename DISPATCH , typename SPARSITY >

void ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::precomputation_loop	(	unsigned int	cycle,
		const DISPATCH &	dispatch_check,
		precomputed_vector_type &	precomputed_values,
		const SPARSITY &	sparsity_simd,
		const vector_type &	U,
		unsigned int	left,
		unsigned int	right
	)		const

Step 0: precompute values for hyperbolic update. This routine is called within our usual loop() idiom in HyperbolicModule

◆ water_depth()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::water_depth ( const state_type & U )

inlinestatic

For a given (1+dim dimensional) state vector U, return the water depth U[0]

Definition at line 712 of file hyperbolic_system.h.

◆ inverse_water_depth_mollified()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::inverse_water_depth_mollified ( const state_type & U ) const

inline

For a given (1+dim dimensional) state vector U, return a regularized inverse of the water depth. This function returns 2h / (h^2+max(h, h_cutoff)^2), where h_cutoff is the reference water depth multiplied by eps.

Definition at line 720 of file hyperbolic_system.h.

References ryujin::positive_part().

◆ water_depth_sharp()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::water_depth_sharp ( const state_type & U ) const

inline

For a given (1+dim dimensional) state vector U, return the regularized water depth U[0] This function returns max(h, h_cutoff), where h_cutoff is the reference water depth multiplied by eps.

Definition at line 738 of file hyperbolic_system.h.

◆ inverse_water_depth_sharp()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::inverse_water_depth_sharp ( const state_type & U ) const

inline

For a given (1+dim dimensional) state vector U, return a regularized inverse of the water depth. This function returns 1 / max(h, h_cutoff), where h_cutoff is the reference water depth multiplied by eps.

Definition at line 754 of file hyperbolic_system.h.

◆ filter_dry_water_depth()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::filter_dry_water_depth ( const Number & h ) const

inline

Given a water depth h this function returns 0 if h is in the interval [-relaxation * h_cutoff, relaxation * h_cutoff], otherwise h is returned unmodified. Here, h_cutoff is the reference water depth multiplied by eps.

Definition at line 763 of file hyperbolic_system.h.

◆ momentum()

template<int dim, typename Number >

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

inlinestatic

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

Definition at line 779 of file hyperbolic_system.h.

◆ kinetic_energy()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::kinetic_energy ( const state_type & U ) const

inline

For a given (1+dim dimensional) state vector U, compute and return the kinetic energy.

\[ KE = 1/2 |m|^2 / h \]

Definition at line 791 of file hyperbolic_system.h.

◆ pressure()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::pressure ( const state_type & U ) const

inline

For a given (state dimensional) state vector U, compute and return the hydrostatic pressure \(p\):

\[ p = 1/2 g h^2 \]

Definition at line 803 of file hyperbolic_system.h.

◆ speed_of_sound()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::speed_of_sound ( const state_type & U ) const

inline

For a given (1+dim dimensional) state vector U, compute the (physical) speed of sound:

\[ c^2 = g * h \]

Definition at line 814 of file hyperbolic_system.h.

◆ mathematical_entropy()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE Number ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::mathematical_entropy ( const state_type & U ) const

inline

For a given (1+dim dimensional) state vector U, compute and return the entropy \(\eta = 1/2 g h^2 + 1/2 |m|^2 / h\).

Definition at line 823 of file hyperbolic_system.h.

◆ mathematical_entropy_derivative()

template<int dim, typename Number >

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

inline

For a given (1+dim dimensional) state vector U, compute and return the derivative \(\eta'\) of the entropy defined above.

Definition at line 834 of file hyperbolic_system.h.

◆ is_admissible()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE bool ryujin::ShallowWater::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 867 of file hyperbolic_system.h.

◆ prescribe_riemann_characteristic()

template<int dim, typename Number >

template<int component>

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

◆ apply_boundary_conditions()

template<int dim, typename Number >

template<typename Lambda >

state_type ryujin::ShallowWater::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.

◆ f()

template<int dim, typename Number >

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

inline

Given a state U compute the flux

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

Definition at line 1015 of file hyperbolic_system.h.

◆ g()

template<int dim, typename Number >

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

inline

Given a state U compute the flux \g[ \begin{pmatrix} \textbf m \ \textbf v\otimes \textbf m \ \end{pmatrix}, \f]

Definition at line 1034 of file hyperbolic_system.h.

◆ star_state()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE auto ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::star_state	(	const state_type &	U,
		const Number &	Z_left,
		const Number &	Z_right
	)		const

inline

For a given (1+dim dimensional) state vector U and left/right topography states Z_left and Z_right, return the star_state U_star

Definition at line 1051 of file hyperbolic_system.h.

◆ equilibrated_states()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE auto ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::equilibrated_states	(	const flux_contribution_type &	flux_i,
		const flux_contribution_type &	flux_j
	)		const

inline

Given precomputed flux contributions prec_i and prec_j compute the equilibrated states \(U_i^{\ast,j}\) and \(U_j^{\ast,i}\).

Definition at line 1066 of file hyperbolic_system.h.

◆ flux_contribution() [1/2]

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE auto ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::flux_contribution	(	const precomputed_vector_type &	pv,
		const precomputed_initial_vector_type &	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:

Indicator<dim, Number> indicator;
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 Shallow water equations we simply retrieve the bathymetry and return, both, state and bathymetry.

Definition at line 1082 of file hyperbolic_system.h.

◆ flux_contribution() [2/2]

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE auto ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::flux_contribution	(	const precomputed_vector_type &	pv,
		const precomputed_initial_vector_type &	piv,
		const unsigned int *	js,
		const state_type &	U_j
	)		const

inline

Definition at line 1095 of file hyperbolic_system.h.

◆ flux_divergence()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE auto ryujin::ShallowWater::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 precomputed flux contributions prec_i and prec_j compute the equilibrated, low-order flux \((f(U_i^{\ast,j}) + f(U_j^{\ast,i})\)

Definition at line 1108 of file hyperbolic_system.h.

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

◆ high_order_flux_divergence()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE auto ryujin::ShallowWater::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

inline

Given precomputed flux contributions prec_i and prec_j compute the high-order flux \((f(U_i^{\ast,j}) + f(U_j^{\ast,i})\)

Definition at line 1140 of file hyperbolic_system.h.

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

◆ affine_shift()

template<int dim, typename Number >

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

inline

Given precomputed flux contributions prec_i and prec_j compute the equilibrated, low-order affine shift \( B_{ij} = -2d_ij(U^{\ast,j}_i)-2f((U^{\ast,j}_i))c_ij\).

Definition at line 1167 of file hyperbolic_system.h.

◆ manning_friction()

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE auto ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::manning_friction	(	const state_type &	U,
		const Number &	h_star,
		const ScalarNumber	tau
	)		const

inline

A regularized Gauckler-Manning friction coefficient.

FIXME: details

Definition at line 1187 of file hyperbolic_system.h.

◆ nodal_source() [1/2]

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE auto ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::nodal_source	(	const precomputed_vector_type &	pv,
		const unsigned int	i,
		const state_type &	U_i,
		const ScalarNumber	tau
	)		const

inline

Definition at line 1214 of file hyperbolic_system.h.

◆ nodal_source() [2/2]

template<int dim, typename Number >

DEAL_II_ALWAYS_INLINE auto ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::nodal_source	(	const precomputed_vector_type &	pv,
		const unsigned int *	js,
		const state_type &	U_j,
		const ScalarNumber	tau
	)		const

inline

Definition at line 1229 of file hyperbolic_system.h.

◆ expand_state()

template<int dim, typename Number >

template<typename ST >

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

Given an initial state [h, u_1, ..., u_d] return a conserved state [h, m_1, ..., m_d].

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

Note: This function is used to conveniently convert (user provided) primitive initial states to a conserved state in the ShallowWaterInitialStateLibrary.

◆ from_primitive_state()

template<int dim, typename Number >

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

inline

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

Definition at line 1277 of file hyperbolic_system.h.

◆ to_primitive_state()

template<int dim, typename Number >

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

inline

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

Definition at line 1293 of file hyperbolic_system.h.

◆ apply_galilei_transform()

template<int dim, typename Number >

template<typename Lambda >

state_type ryujin::ShallowWater::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::ShallowWater::HyperbolicSystemView< dim, Number >::problem_dimension = dim + 1

staticconstexpr

The dimension of the state space.

Definition at line 184 of file hyperbolic_system.h.

◆ component_names

template<int dim, typename Number >

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

inlinestatic

Initial value:

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

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

Definition at line 201 of file hyperbolic_system.h.

◆ primitive_component_names

template<int dim, typename Number >

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

inlinestatic

Initial value:

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

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

Definition at line 216 of file hyperbolic_system.h.

◆ n_precomputed_initial_values

template<int dim, typename Number >

constexpr unsigned int ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::n_precomputed_initial_values = 1

staticconstexpr

The number of precomputed initial values.

Definition at line 247 of file hyperbolic_system.h.

◆ precomputed_initial_names

template<int dim, typename Number >

const auto ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::precomputed_initial_names

inlinestatic

Initial value:

=

std::array<std::string, n_precomputed_initial_values>{"bathymetry"}

An array holding all component names of the precomputed values.

Definition at line 265 of file hyperbolic_system.h.

◆ n_precomputed_values

template<int dim, typename Number >

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

staticconstexpr

The number of precomputed values.

Definition at line 271 of file hyperbolic_system.h.

◆ precomputed_names

template<int dim, typename Number >

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

inlinestatic

Initial value:

=

std::array<std::string, n_precomputed_values>{"eta_m", "h_star"}

An array holding all component names of the precomputed values.

Definition at line 287 of file hyperbolic_system.h.

◆ n_precomputation_cycles

template<int dim, typename Number >

constexpr unsigned int ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::n_precomputation_cycles = 1

staticconstexpr

The number of precomputation cycles.

Definition at line 293 of file hyperbolic_system.h.

◆ have_high_order_flux

template<int dim, typename Number >

constexpr bool ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::have_high_order_flux = true

staticconstexpr

The low-order and high-order fluxes differ:

Definition at line 522 of file hyperbolic_system.h.

◆ have_source_terms

template<int dim, typename Number >

constexpr bool ryujin::ShallowWater::HyperbolicSystemView< dim, Number >::have_source_terms = true

staticconstexpr

We do have source terms

Definition at line 551 of file hyperbolic_system.h.

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

source/shallow_water/hyperbolic_system.h

Public Types

Public Member Functions

Types and compile time constants

Precomputed quantities

Flux computations

Computing source terms

Computing derived physical quantities

Detailed Description

Member Typedef Documentation

◆ ScalarNumber

◆ state_type

◆ vector_type

◆ flux_type

◆ flux_contribution_type

◆ precomputed_initial_state_type

◆ precomputed_initial_vector_type

◆ precomputed_state_type

◆ precomputed_vector_type

Constructor & Destructor Documentation

◆ HyperbolicSystemView()

Member Function Documentation

◆ view()

◆ gravity()

◆ manning_friction_coefficient()

◆ reference_water_depth()

◆ dry_state_relaxation_factor()

◆ dry_state_relaxation_small()

◆ dry_state_relaxation_large()

◆ precomputation_loop()

◆ water_depth()

◆ inverse_water_depth_mollified()

◆ water_depth_sharp()

◆ inverse_water_depth_sharp()

◆ filter_dry_water_depth()

◆ momentum()

◆ kinetic_energy()

◆ pressure()

◆ speed_of_sound()

◆ mathematical_entropy()

◆ mathematical_entropy_derivative()

◆ is_admissible()

◆ prescribe_riemann_characteristic()

◆ apply_boundary_conditions()

◆ f()

◆ g()

◆ star_state()

◆ equilibrated_states()

◆ flux_contribution() [1/2]

◆ flux_contribution() [2/2]

◆ flux_divergence()

◆ high_order_flux_divergence()

◆ affine_shift()

◆ manning_friction()

◆ 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_initial_values

◆ precomputed_initial_names

◆ n_precomputed_values

◆ precomputed_names

◆ n_precomputation_cycles

◆ have_high_order_flux

◆ have_source_terms