Classes
struct	HELMEOSInput
	Structure to hold the input parameters for the EOS calculation. More...

struct	HELMEOSOutput

struct	HELMTable
	Structure to hold the Helmholtz EOS table data. More...

Typedefs
template<typename T, std::size_t J, std::size_t I>
using	array2D = std::array<std::array<T, J>, I>
	2D array template alias.

Functions
double **	heap_allocate_contiguous_2D_memory (const int rows, const int cols)

void	heap_deallocate_contiguous_2D_memory (double **array)

double	psi0 (double z)
	Interpolating polynomial function psi0.

double	dpsi0 (double z)
	Derivative of the interpolating polynomial function psi0.

double	ddpsi0 (double z)
	Second derivative of the interpolating polynomial function psi0.

double	psi1 (double z)
	Interpolating polynomial function psi1.

double	dpsi1 (double z)
	Derivative of the interpolating polynomial function psi1.

double	ddpsi1 (double z)
	Second derivative of the interpolating polynomial function psi1.

double	psi2 (double z)
	Interpolating polynomial function psi2.

double	dpsi2 (double z)
	Derivative of the interpolating polynomial function psi2.

double	ddpsi2 (double z)
	Second derivative of the interpolating polynomial function psi2.

double	xpsi0 (double z)
	Interpolating polynomial function xpsi0.

double	xdpsi0 (double z)
	Derivative of the interpolating polynomial function xpsi0.

double	xpsi1 (double z)
	Interpolating polynomial function xpsi1.

double	xdpsi1 (double z)
	Derivative of the interpolating polynomial function xpsi1.

double	h3 (const std::array< double, 36 > &fi, const double w0t, const double w1t, const double w0mt, const double w1mt, const double w0d, const double w1d, const double w0md, const double w1md)
	Interpolating polynomial function h3.

double	h5 (const std::array< double, 36 > &fi, const double w0t, const double w1t, const double w2t, const double w0mt, const double w1mt, const double w2mt, const double w0d, const double w1d, const double w2d, const double w0md, const double w1md, const double w2md)
	Interpolating polynomial function h5.

std::unique_ptr< HELMTable >	read_helm_table (const std::string &filename)
	Read the Helmholtz EOS table from a file.

serif::eos::helmholtz::HELMEOSOutput	get_helm_EOS (HELMEOSInput &q, const HELMTable &table)
	Calculate the Helmholtz EOS components.

Variables
static constexpr int	IMAX = 541

static constexpr int	JMAX = 201

const double	tlo = 3.0

const double	thi = 13.0

const double	dlo = -12.0

const double	dhi = 15.0

const double	tstp = (thi - tlo) / (JMAX - 1)

const double	tstpi = 1 / tstp

const double	dstp = (dhi - dlo) / (IMAX - 1)

const double	dstpi = 1 / dstp

Typedef Documentation

◆ array2D

template<typename T, std::size_t J, std::size_t I>

using serif::eos::helmholtz::array2D = std::array<std::array<T, J>, I>

2D array template alias.

Template Parameters

T	Type of the array elements.
J	Number of columns.
I	Number of rows.

Definition at line 47 of file helm.h.

Function Documentation

◆ ddpsi0()

double serif::eos::helmholtz::ddpsi0 ( double z )

Second derivative of the interpolating polynomial function psi0.

Parameters

z	Input value.

Returns: Second derivative of the polynomial.

Definition at line 74 of file helm.cpp.

◆ ddpsi1()

double serif::eos::helmholtz::ddpsi1 ( double z )

Second derivative of the interpolating polynomial function psi1.

Parameters

z	Input value.

Returns: Second derivative of the polynomial.

Definition at line 80 of file helm.cpp.

◆ ddpsi2()

double serif::eos::helmholtz::ddpsi2 ( double z )

Second derivative of the interpolating polynomial function psi2.

Parameters

z	Input value.

Returns: Second derivative of the polynomial.

Definition at line 86 of file helm.cpp.

◆ dpsi0()

double serif::eos::helmholtz::dpsi0 ( double z )

Derivative of the interpolating polynomial function psi0.

Parameters

z	Input value.

Returns: Derivative of the polynomial.

Definition at line 72 of file helm.cpp.

◆ dpsi1()

double serif::eos::helmholtz::dpsi1 ( double z )

Derivative of the interpolating polynomial function psi1.

Parameters

z	Input value.

Returns: Derivative of the polynomial.

Definition at line 78 of file helm.cpp.

◆ dpsi2()

double serif::eos::helmholtz::dpsi2 ( double z )

Derivative of the interpolating polynomial function psi2.

Parameters

z	Input value.

Returns: Derivative of the polynomial.

Definition at line 84 of file helm.cpp.

◆ get_helm_EOS()

HELMEOSOutput serif::eos::helmholtz::get_helm_EOS	(	HELMEOSInput &	q,
		const HELMTable &	table )

Calculate the Helmholtz EOS components.

Parameters

q	EOSInput parameters for the EOS calculation.
table	HELMTable structure containing the table data.

Returns: EOS structure containing the calculated quantities.

Definition at line 243 of file helm.cpp.

◆ h3()

double serif::eos::helmholtz::h3	(	const std::array< double, 36 > &	fi,
		const double	w0t,
		const double	w1t,
		const double	w0mt,
		const double	w1mt,
		const double	w0d,
		const double	w1d,
		const double	w0md,
		const double	w1md )

Interpolating polynomial function h3.

Parameters

fi	Array of coefficients.
w0t	Weight 0 for temperature.
w1t	Weight 1 for temperature.
w0mt	Weight 0 for temperature (minus).
w1mt	Weight 1 for temperature (minus).
w0d	Weight 0 for density.
w1d	Weight 1 for density.
w0md	Weight 0 for density (minus).
w1md	Weight 1 for density (minus).

Returns: Result of the polynomial.

Definition at line 96 of file helm.cpp.

◆ h5()

double serif::eos::helmholtz::h5	(	const std::array< double, 36 > &	fi,
		const double	w0t,
		const double	w1t,
		const double	w2t,
		const double	w0mt,
		const double	w1mt,
		const double	w2mt,
		const double	w0d,
		const double	w1d,
		const double	w2d,
		const double	w0md,
		const double	w1md,
		const double	w2md )

Interpolating polynomial function h5.

Parameters

fi	Array of coefficients.
w0t	Weight 0 for temperature.
w1t	Weight 1 for temperature.
w2t	Weight 2 for temperature.
w0mt	Weight 0 for temperature (minus).
w1mt	Weight 1 for temperature (minus).
w2mt	Weight 2 for temperature (minus).
w0d	Weight 0 for density.
w1d	Weight 1 for density.
w2d	Weight 2 for density.
w0md	Weight 0 for density (minus).
w1md	Weight 1 for density (minus).
w2md	Weight 2 for density (minus).

Returns: Result of the polynomial.

Definition at line 108 of file helm.cpp.

◆ heap_allocate_contiguous_2D_memory()

double ** serif::eos::helmholtz::heap_allocate_contiguous_2D_memory	(	const int	rows,
		const int	cols )

Definition at line 52 of file helm.cpp.

◆ heap_deallocate_contiguous_2D_memory()

void serif::eos::helmholtz::heap_deallocate_contiguous_2D_memory ( double ** array )

Definition at line 66 of file helm.cpp.

◆ psi0()

double serif::eos::helmholtz::psi0 ( double z )

Interpolating polynomial function psi0.

Parameters

z	Input value.

Returns: Result of the polynomial.

Definition at line 70 of file helm.cpp.

◆ psi1()

double serif::eos::helmholtz::psi1 ( double z )

Interpolating polynomial function psi1.

Parameters

z	Input value.

Returns: Result of the polynomial.

Definition at line 76 of file helm.cpp.

◆ psi2()

double serif::eos::helmholtz::psi2 ( double z )

Interpolating polynomial function psi2.

Parameters

z	Input value.

Returns: Result of the polynomial.

Definition at line 82 of file helm.cpp.

◆ read_helm_table()

std::unique_ptr< HELMTable > serif::eos::helmholtz::read_helm_table ( const std::string & filename )

Read the Helmholtz EOS table from a file.

Parameters

filename Path to the file containing the table.

Returns: HELMTable structure containing the table data.

Definition at line 132 of file helm.cpp.

◆ xdpsi0()

double serif::eos::helmholtz::xdpsi0 ( double z )

Derivative of the interpolating polynomial function xpsi0.

Parameters

z	Input value.

Returns: Derivative of the polynomial.

Definition at line 90 of file helm.cpp.

◆ xdpsi1()

double serif::eos::helmholtz::xdpsi1 ( double z )

Derivative of the interpolating polynomial function xpsi1.

Parameters

z	Input value.

Returns: Derivative of the polynomial.

Definition at line 94 of file helm.cpp.

◆ xpsi0()

double serif::eos::helmholtz::xpsi0 ( double z )

Interpolating polynomial function xpsi0.

Parameters

z	Input value.

Returns: Result of the polynomial.

Definition at line 88 of file helm.cpp.

◆ xpsi1()

double serif::eos::helmholtz::xpsi1 ( double z )

Interpolating polynomial function xpsi1.

Parameters

z	Input value.

Returns: Result of the polynomial.

Definition at line 92 of file helm.cpp.

Variable Documentation

◆ dhi

const double serif::eos::helmholtz::dhi = 15.0

Definition at line 54 of file helm.h.

◆ dlo

const double serif::eos::helmholtz::dlo = -12.0

Definition at line 54 of file helm.h.

◆ dstp

const double serif::eos::helmholtz::dstp = (dhi - dlo) / (IMAX - 1)

Definition at line 56 of file helm.h.

◆ dstpi

const double serif::eos::helmholtz::dstpi = 1 / dstp

Definition at line 56 of file helm.h.

◆ IMAX

int serif::eos::helmholtz::IMAX = 541

staticconstexpr

Definition at line 38 of file helm.h.

◆ JMAX

int serif::eos::helmholtz::JMAX = 201

staticconstexpr

Definition at line 39 of file helm.h.

◆ thi

const double serif::eos::helmholtz::thi = 13.0

Definition at line 53 of file helm.h.

◆ tlo

const double serif::eos::helmholtz::tlo = 3.0

Definition at line 53 of file helm.h.

◆ tstp

const double serif::eos::helmholtz::tstp = (thi - tlo) / (JMAX - 1)

Definition at line 55 of file helm.h.

◆ tstpi

const double serif::eos::helmholtz::tstpi = 1 / tstp

Definition at line 55 of file helm.h.

Classes

Typedefs

Functions

Variables

Typedef Documentation

◆ array2D

Function Documentation

◆ ddpsi0()

◆ ddpsi1()

◆ ddpsi2()

◆ dpsi0()

◆ dpsi1()

◆ dpsi2()

◆ get_helm_EOS()

◆ h3()

◆ h5()

◆ heap_allocate_contiguous_2D_memory()

◆ heap_deallocate_contiguous_2D_memory()

◆ psi0()

◆ psi1()

◆ psi2()

◆ read_helm_table()

◆ xdpsi0()

◆ xdpsi1()

◆ xpsi0()

◆ xpsi1()

Variable Documentation

◆ dhi

◆ dlo

◆ dstp

◆ dstpi

◆ IMAX

◆ JMAX

◆ thi

◆ tlo

◆ tstp

◆ tstpi