A single chemical species with its caloric and transport properties. More...

#include <cl_GT_RefGas.hpp>

Collaboration diagram for belfem::gastables::RefGas:

Public Member Functions
	RefGas (const string &aLabel)
	~RefGas ()
	RefGas (const RefGas &)=delete
RefGas &	operator= (const RefGas &)=delete
const string &	label () const
real	component_multiplicity (const string &aLabel) const
	return the composition if the element exists
const real &	M () const
	molar mass in kg/Mol
real	reference_formation_enthalpy () const
	reference formation enthalpy
bool	is_liquid () const
void	set_mode (const RefGasMode &aMode)
	Switch between evaluating the CEA polynomials directly and evaluating the splines sampled off them.
GasData *	data ()
	expose data object
const GasData *	data () const
	expose data object ( const version )
Spline *	heat_spline ()
	expose heat spline
const Spline *	heat_spline () const
	expose heat spline ( const version )
Spline *	viscosity_spline ()
	expose viscosity spline
const Spline *	viscosity_spline () const
	expose viscosity spline ( const version )
Spline *	conductivity_spline ()
	expose conductivity spline
const Spline *	conductivity_spline () const
	expose conductivity spline ( const version )
Caloric properties
Upper case is molar, lower case is mass specific: Cp is J/(mol K) and cp is J/(kg K), H is J/mol and h is J/kg. The two differ by the molar mass and nothing else. Temperature is in K. The enthalpy scale is set by the factory, not by the source record: it discards the record's integration constant and shifts every interval so that H( 298.15 K ) = dHf( 298.15 K ) + [ H( 298.15 K ) - H( 0 K ) ] with the formation enthalpy and the sensible term both taken from thermo.inp. Equivalently, H( 0 K ) is the formation enthalpy at 298.15 K. That is a hybrid of the two usual conventions - CEA places the formation enthalpy at 298.15 K, a 0 K scale places it at 0 K - and it is deliberate. No consumer in the tree can see the difference. The combustion solver re-references to the CEA convention itself, subtracting h( 298.15 ) and adding the formation enthalpy back ( cl_CN_Scheme.cpp in the nonfree tree ), and the flow routines only ever evaluate enthalpy differences, where the constant cancels. It would matter only if an absolute enthalpy were compared against an outside table. Entropy is absolute, anchored on the standard state entropy of the record. Which representation answers these calls depends on the mode - the polynomials themselves in POLY, the sampled splines in SPLINE. The factory leaves every gas in SPLINE.
real	Cp (const real T) const
real	H (const real T) const
real	S (const real T) const
real	dSdT (const real T) const
real	dCpdT (const real T) const
real	d2CpdT2 (const real T) const
real	cp (const real T) const
real	h (const real T) const
real	h_ref () const
real	H_ref () const
real	s (const real T) const
real	dcpdT (const real T) const
real	d2cpdT2 (const real T) const
Transport properties
Dynamic viscosity in Pa s and thermal conductivity in W/(m K), both SI - the tabulated CEA coefficients are micropoise and microwatt per centimetre kelvin and are converted on the way out. Temperature is in K. These describe the dilute gas. Pressure dependence is not part of this class; the gasmodels layer adds it. A species with no transport record returns zero rather than raising, except where the factory was able to synthesize viscosity and conductivity from the critical point.
real	mu (const real T) const
real	dmudT (const real T) const
real	d2mudT2 (const real T) const
real	lambda (const real T) const
real	dlambdadT (const real T) const
real	d2lambdadT2 (const real T) const
Data availability
Which of the source tables actually had a record for this species. Callers use these to decide whether a property is worth asking for - the accessors of a missing set return zero rather than raising, so a silent zero is otherwise indistinguishable from a real one.
bool	has_thermo () const
bool	has_conductivity () const
bool	has_viscosity () const
bool	has_components () const
bool	is_noble () const

Protected Member Functions
void	finalize ()
	to be called by RefGasFactory once all polynomials have been read
void	create_splines (const Vector< real > &T, SpMatrix &aHelpMatrix)
void	add_component (const string &aLabel, const real aValue)
	to be called by InputThermo
void	set_molar_mass (const real aMolarMass)
	set the molar mass
void	set_reference_formation_enthalpy (const real aDeltaHf)
	set the formation enthalpy in J/mol
void	set_reference_enthalpy (const real aHref)
	set the reference enthalpy H(298.15 K) - H(0 K) in J/mol, as read from the thermo.inp record
void	set_liquid_flag ()
void	set_component_flag ()
void	unset_liquid_flag ()
void	add_heat_poly (HeatPoly *aHeatPoly)
void	add_transport_poly (TransportPoly *aTransportPoly)
void	delete_heat_polys ()
void	delete_transport_polys ()
void	create_glue_polys_heat (const uint &aNumberOfOriginalPolynomials)
void	create_cryo_poly_heat ()
void	create_hot_poly_heat (const uint &aNumberOfOriginalPolynomials)
void	fix_reference_points (const uint &aStart, const uint &aEnd)
const HeatPoly *	find_heat_poly (const real T) const
const TransportPoly *	find_viscosity_poly (const real T) const
const TransportPoly *	find_conductivity_poly (const real T) const
void	finalize_transport ()
void	create_cryo_poly_transport (Cell< TransportPoly * > &aPolys)
void	create_glue_polys_transport (Cell< TransportPoly * > &aPolys, const uint &aNumberOfOriginalPolynomials)
void	create_hot_poly_transport (Cell< TransportPoly * > &aPolys, const uint &aNumberOfOriginalPolynomials)
void	finalize_thermo ()
real	zero (const real T) const
real	poly_Cp (const real T) const
real	poly_dCpdT (const real T) const
real	poly_d2CpdT2 (const real T) const
real	poly_H (const real T) const
real	poly_S (const real T) const
real	poly_dSdT (const real T) const
real	poly_Mu (const real T) const
real	poly_dMudT (const real T) const
real	poly_d2MudT2 (const real T) const
real	poly_Lambda (const real T) const
real	poly_dLambdadT (const real T) const
real	poly_d2LambdadT2 (const real T) const
real	spline_Cp (const real T) const
real	spline_dCpdT (const real T) const
real	spline_H (const real T) const
real	spline_S (const real T) const
real	spline_dSdT (const real T) const
real	spline_Mu (const real T) const
real	spline_dMudT (const real T) const
real	spline_d2MudT2 (const real T) const
real	spline_Lambda (const real T) const
real	spline_dLambdadT (const real T) const
real	spline_d2LambdadT2 (const real T) const
void	fix_switches ()

Protected Attributes
const bool	mAmNoble
GasData	mData
const string &	mLabel
Cell< HeatPoly * >	mHeatPolys
Cell< TransportPoly * >	mViscosityPolys
Cell< TransportPoly * >	mConductivityPolys
bool	mHaveThermo = false
bool	mHaveViscosity = false
bool	mHaveConductivity = false
bool	mLiquidFlag = false
bool	mFinalizedFlag = false
bool	mHaveComponents = false
Spline	mHeatSpline
Spline	mViscositySpline
Spline	mConductivitySpline
real(RefGas::*)	mFunctionCp (const real T) const
real(RefGas::*)	mFunctiondCpdT (const real T) const
real(RefGas::*)	mFunctiond2CpdT2 (const real T) const
real(RefGas::*)	mFunctionH (const real T) const
real(RefGas::*)	mFunctionS (const real T) const
real(RefGas::*)	mFunctiondSdT (const real T) const
real(RefGas::*)	mFunctionMu (const real T) const
real(RefGas::*)	mFunctiondMudT (const real T) const
real(RefGas::*)	mFunctiond2MudT2 (const real T) const
real(RefGas::*)	mFunctionLambda (const real T) const
real(RefGas::*)	mFunctiondLambdadT (const real T) const
real(RefGas::*)	mFunctiond2LambdadT2 (const real T) const
friend	InputThermo
friend	InputTransport
friend	RefGasFactory

Detailed Description

A single chemical species with its caloric and transport properties.

The caloric side is the NASA-9 formulation of CEA ( NASA RP-1311 ): a set of temperature intervals, each carrying a seven coefficient polynomial for cp/R plus two integration constants for H and S. Transport uses the CEA correlation ln( eta ) = A ln T + B/T + C/T^2 + D over its own intervals. Both are read from the shipped tables by RefGasFactory, which also synthesizes the intervals the tables do not cover: glue polynomials across interval junctions, a cryogenic extrapolation below the lowest interval, and viscosity and thermal conductivity from the Lucas and Chung correlations for species with critical data but no transport record.

Everything is molar unless the accessor is lower case: H() is J/mol and h() is J/kg, the same convention as Cp()/cp(). Temperatures are in K throughout.

The object owns its polynomials and deletes them; mData is held by value. Construction is through RefGasFactory, not directly, because a usable object needs the data files.

See also: Gas Tables Usage Guide

Constructor & Destructor Documentation

◆ RefGas() [1/2]

belfem::gastables::RefGas::RefGas ( const string & aLabel )

◆ ~RefGas()

belfem::gastables::RefGas::~RefGas ( )

◆ RefGas() [2/2]

belfem::gastables::RefGas::RefGas ( const RefGas & )

delete

Member Function Documentation

◆ add_component()

void belfem::gastables::RefGas::add_component	(	const string &	aLabel,
		const real	aValue )

protected

to be called by InputThermo

◆ add_heat_poly()

void belfem::gastables::RefGas::add_heat_poly ( HeatPoly * aHeatPoly )

protected

◆ add_transport_poly()

void belfem::gastables::RefGas::add_transport_poly ( TransportPoly * aTransportPoly )

protected

◆ component_multiplicity()

real belfem::gastables::RefGas::component_multiplicity ( const string & aLabel ) const

inline

return the composition if the element exists

◆ conductivity_spline() [1/2]

Spline * belfem::gastables::RefGas::conductivity_spline ( )

inline

expose conductivity spline

◆ conductivity_spline() [2/2]

const Spline * belfem::gastables::RefGas::conductivity_spline ( ) const

inline

expose conductivity spline ( const version )

◆ Cp()

real belfem::gastables::RefGas::Cp ( const real T ) const

◆ cp()

real belfem::gastables::RefGas::cp ( const real T ) const

◆ create_cryo_poly_heat()

void belfem::gastables::RefGas::create_cryo_poly_heat ( )

protected

◆ create_cryo_poly_transport()

void belfem::gastables::RefGas::create_cryo_poly_transport ( Cell< TransportPoly * > & aPolys )

protected

◆ create_glue_polys_heat()

void belfem::gastables::RefGas::create_glue_polys_heat ( const uint & aNumberOfOriginalPolynomials )

protected

◆ create_glue_polys_transport()

void belfem::gastables::RefGas::create_glue_polys_transport	(	Cell< TransportPoly * > &	aPolys,
		const uint &	aNumberOfOriginalPolynomials )

protected

◆ create_hot_poly_heat()

void belfem::gastables::RefGas::create_hot_poly_heat ( const uint & aNumberOfOriginalPolynomials )

protected

◆ create_hot_poly_transport()

void belfem::gastables::RefGas::create_hot_poly_transport	(	Cell< TransportPoly * > &	aPolys,
		const uint &	aNumberOfOriginalPolynomials )

protected

◆ create_splines()

void belfem::gastables::RefGas::create_splines	(	const Vector< real > &	T,
		SpMatrix &	aHelpMatrix )

protected

◆ d2CpdT2()

real belfem::gastables::RefGas::d2CpdT2 ( const real T ) const

◆ d2cpdT2()

real belfem::gastables::RefGas::d2cpdT2 ( const real T ) const

◆ d2lambdadT2()

real belfem::gastables::RefGas::d2lambdadT2 ( const real T ) const

◆ d2mudT2()

real belfem::gastables::RefGas::d2mudT2 ( const real T ) const

◆ data() [1/2]

GasData * belfem::gastables::RefGas::data ( )

inline

expose data object

◆ data() [2/2]

const GasData * belfem::gastables::RefGas::data ( ) const

inline

expose data object ( const version )

◆ dCpdT()

real belfem::gastables::RefGas::dCpdT ( const real T ) const

◆ dcpdT()

real belfem::gastables::RefGas::dcpdT ( const real T ) const

◆ delete_heat_polys()

void belfem::gastables::RefGas::delete_heat_polys ( )

protected

◆ delete_transport_polys()

void belfem::gastables::RefGas::delete_transport_polys ( )

protected

◆ dlambdadT()

real belfem::gastables::RefGas::dlambdadT ( const real T ) const

◆ dmudT()

real belfem::gastables::RefGas::dmudT ( const real T ) const

◆ dSdT()

real belfem::gastables::RefGas::dSdT ( const real T ) const

◆ finalize()

void belfem::gastables::RefGas::finalize ( )

protected

to be called by RefGasFactory once all polynomials have been read

◆ finalize_thermo()

void belfem::gastables::RefGas::finalize_thermo ( )

protected

◆ finalize_transport()

void belfem::gastables::RefGas::finalize_transport ( )

protected

◆ find_conductivity_poly()

const TransportPoly * belfem::gastables::RefGas::find_conductivity_poly ( const real T ) const

protected

◆ find_heat_poly()

const HeatPoly * belfem::gastables::RefGas::find_heat_poly ( const real T ) const

protected

◆ find_viscosity_poly()

const TransportPoly * belfem::gastables::RefGas::find_viscosity_poly ( const real T ) const

protected

◆ fix_reference_points()

void belfem::gastables::RefGas::fix_reference_points	(	const uint &	aStart,
		const uint &	aEnd )

protected

◆ fix_switches()

void belfem::gastables::RefGas::fix_switches ( )

protected

◆ H()

real belfem::gastables::RefGas::H ( const real T ) const

◆ h()

real belfem::gastables::RefGas::h ( const real T ) const

◆ H_ref()

real belfem::gastables::RefGas::H_ref ( ) const

◆ h_ref()

real belfem::gastables::RefGas::h_ref ( ) const

◆ has_components()

bool belfem::gastables::RefGas::has_components ( ) const

inline

◆ has_conductivity()

bool belfem::gastables::RefGas::has_conductivity ( ) const

inline

◆ has_thermo()

bool belfem::gastables::RefGas::has_thermo ( ) const

inline

◆ has_viscosity()

bool belfem::gastables::RefGas::has_viscosity ( ) const

inline

◆ heat_spline() [1/2]

Spline * belfem::gastables::RefGas::heat_spline ( )

inline

expose heat spline

◆ heat_spline() [2/2]

const Spline * belfem::gastables::RefGas::heat_spline ( ) const

inline

expose heat spline ( const version )

◆ is_liquid()

bool belfem::gastables::RefGas::is_liquid ( ) const

inline

◆ is_noble()

bool belfem::gastables::RefGas::is_noble ( ) const

inline

◆ label()

const string & belfem::gastables::RefGas::label ( ) const

inline

◆ lambda()

real belfem::gastables::RefGas::lambda ( const real T ) const

◆ M()

const real & belfem::gastables::RefGas::M ( ) const

inline

molar mass in kg/Mol

◆ mu()

real belfem::gastables::RefGas::mu ( const real T ) const

◆ operator=()

RefGas & belfem::gastables::RefGas::operator= ( const RefGas & )

delete

◆ poly_Cp()

real belfem::gastables::RefGas::poly_Cp ( const real T ) const

protected

◆ poly_d2CpdT2()

real belfem::gastables::RefGas::poly_d2CpdT2 ( const real T ) const

protected

◆ poly_d2LambdadT2()

real belfem::gastables::RefGas::poly_d2LambdadT2 ( const real T ) const

protected

◆ poly_d2MudT2()

real belfem::gastables::RefGas::poly_d2MudT2 ( const real T ) const

protected

◆ poly_dCpdT()

real belfem::gastables::RefGas::poly_dCpdT ( const real T ) const

protected

◆ poly_dLambdadT()

real belfem::gastables::RefGas::poly_dLambdadT ( const real T ) const

protected

◆ poly_dMudT()

real belfem::gastables::RefGas::poly_dMudT ( const real T ) const

protected

◆ poly_dSdT()

real belfem::gastables::RefGas::poly_dSdT ( const real T ) const

protected

◆ poly_H()

real belfem::gastables::RefGas::poly_H ( const real T ) const

protected

◆ poly_Lambda()

real belfem::gastables::RefGas::poly_Lambda ( const real T ) const

protected

◆ poly_Mu()

real belfem::gastables::RefGas::poly_Mu ( const real T ) const

protected

◆ poly_S()

real belfem::gastables::RefGas::poly_S ( const real T ) const

protected

◆ reference_formation_enthalpy()

real belfem::gastables::RefGas::reference_formation_enthalpy ( ) const

inline

reference formation enthalpy

◆ S()

real belfem::gastables::RefGas::S ( const real T ) const

◆ s()

real belfem::gastables::RefGas::s ( const real T ) const

◆ set_component_flag()

void belfem::gastables::RefGas::set_component_flag ( )

protected

◆ set_liquid_flag()

void belfem::gastables::RefGas::set_liquid_flag ( )

protected

◆ set_mode()

void belfem::gastables::RefGas::set_mode ( const RefGasMode & aMode )

Switch between evaluating the CEA polynomials directly and evaluating the splines sampled off them.

The splines are faster because they avoid the interval search, at interpolation accuracy; the factory leaves every gas in SPLINE.

Only rebinds function pointers - both modes describe the same ideal gas, so this is not a change of physics.

◆ set_molar_mass()

void belfem::gastables::RefGas::set_molar_mass ( const real aMolarMass )

protected

set the molar mass

Parameters

[in] aMolarMass in kg/Mol, not g/Mol!

◆ set_reference_enthalpy()

void belfem::gastables::RefGas::set_reference_enthalpy ( const real aHref )

protected

set the reference enthalpy H(298.15 K) - H(0 K) in J/mol, as read from the thermo.inp record

◆ set_reference_formation_enthalpy()

void belfem::gastables::RefGas::set_reference_formation_enthalpy ( const real aDeltaHf )

protected

set the formation enthalpy in J/mol

◆ spline_Cp()

real belfem::gastables::RefGas::spline_Cp ( const real T ) const

protected

◆ spline_d2LambdadT2()

real belfem::gastables::RefGas::spline_d2LambdadT2 ( const real T ) const

protected

◆ spline_d2MudT2()

real belfem::gastables::RefGas::spline_d2MudT2 ( const real T ) const

protected

◆ spline_dCpdT()

real belfem::gastables::RefGas::spline_dCpdT ( const real T ) const

protected

◆ spline_dLambdadT()

real belfem::gastables::RefGas::spline_dLambdadT ( const real T ) const

protected

◆ spline_dMudT()

real belfem::gastables::RefGas::spline_dMudT ( const real T ) const

protected

◆ spline_dSdT()

real belfem::gastables::RefGas::spline_dSdT ( const real T ) const

protected

◆ spline_H()

real belfem::gastables::RefGas::spline_H ( const real T ) const

protected

◆ spline_Lambda()

real belfem::gastables::RefGas::spline_Lambda ( const real T ) const

protected

◆ spline_Mu()

real belfem::gastables::RefGas::spline_Mu ( const real T ) const

protected

◆ spline_S()

real belfem::gastables::RefGas::spline_S ( const real T ) const

protected

◆ unset_liquid_flag()

void belfem::gastables::RefGas::unset_liquid_flag ( )

protected

◆ viscosity_spline() [1/2]

Spline * belfem::gastables::RefGas::viscosity_spline ( )

inline

expose viscosity spline

◆ viscosity_spline() [2/2]

const Spline * belfem::gastables::RefGas::viscosity_spline ( ) const

inline

expose viscosity spline ( const version )

◆ zero()

real belfem::gastables::RefGas::zero ( const real T ) const

protected

Member Data Documentation

◆ InputThermo

friend belfem::gastables::RefGas::InputThermo

protected

◆ InputTransport

friend belfem::gastables::RefGas::InputTransport

protected

◆ mAmNoble

const bool belfem::gastables::RefGas::mAmNoble

protected

◆ mConductivityPolys

Cell< TransportPoly * > belfem::gastables::RefGas::mConductivityPolys

protected

◆ mConductivitySpline

Spline belfem::gastables::RefGas::mConductivitySpline

protected

◆ mData

GasData belfem::gastables::RefGas::mData

protected

◆ mFinalizedFlag

bool belfem::gastables::RefGas::mFinalizedFlag = false

protected

◆ mFunctionCp

real(RefGas::*) belfem::gastables::RefGas::mFunctionCp(const real T) const

protected

◆ mFunctiond2CpdT2

real(RefGas::*) belfem::gastables::RefGas::mFunctiond2CpdT2(const real T) const

protected

◆ mFunctiond2LambdadT2

real(RefGas::*) belfem::gastables::RefGas::mFunctiond2LambdadT2(const real T) const

protected

◆ mFunctiond2MudT2

real(RefGas::*) belfem::gastables::RefGas::mFunctiond2MudT2(const real T) const

protected

◆ mFunctiondCpdT

real(RefGas::*) belfem::gastables::RefGas::mFunctiondCpdT(const real T) const

protected

◆ mFunctiondLambdadT

real(RefGas::*) belfem::gastables::RefGas::mFunctiondLambdadT(const real T) const

protected

◆ mFunctiondMudT

real(RefGas::*) belfem::gastables::RefGas::mFunctiondMudT(const real T) const

protected

◆ mFunctiondSdT

real(RefGas::*) belfem::gastables::RefGas::mFunctiondSdT(const real T) const

protected

◆ mFunctionH

real(RefGas::*) belfem::gastables::RefGas::mFunctionH(const real T) const

protected

◆ mFunctionLambda

real(RefGas::*) belfem::gastables::RefGas::mFunctionLambda(const real T) const

protected

◆ mFunctionMu

real(RefGas::*) belfem::gastables::RefGas::mFunctionMu(const real T) const

protected

◆ mFunctionS

real(RefGas::*) belfem::gastables::RefGas::mFunctionS(const real T) const

protected

◆ mHaveComponents

bool belfem::gastables::RefGas::mHaveComponents = false

protected

◆ mHaveConductivity

bool belfem::gastables::RefGas::mHaveConductivity = false

protected

◆ mHaveThermo

bool belfem::gastables::RefGas::mHaveThermo = false

protected

◆ mHaveViscosity

bool belfem::gastables::RefGas::mHaveViscosity = false

protected

◆ mHeatPolys

Cell< HeatPoly * > belfem::gastables::RefGas::mHeatPolys

protected

◆ mHeatSpline

Spline belfem::gastables::RefGas::mHeatSpline

protected

◆ mLabel

const string& belfem::gastables::RefGas::mLabel

protected

◆ mLiquidFlag

bool belfem::gastables::RefGas::mLiquidFlag = false

protected

◆ mViscosityPolys

Cell< TransportPoly * > belfem::gastables::RefGas::mViscosityPolys

protected

◆ mViscositySpline

Spline belfem::gastables::RefGas::mViscositySpline

protected

◆ RefGasFactory

friend belfem::gastables::RefGas::RefGasFactory

protected

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

src/physics/gastables/cl_GT_RefGas.hpp
src/physics/gastables/cl_GT_RefGas.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ RefGas() [1/2]

◆ ~RefGas()

◆ RefGas() [2/2]

Member Function Documentation

◆ add_component()

◆ add_heat_poly()

◆ add_transport_poly()

◆ component_multiplicity()

◆ conductivity_spline() [1/2]

◆ conductivity_spline() [2/2]

◆ Cp()

◆ cp()

◆ create_cryo_poly_heat()

◆ create_cryo_poly_transport()

◆ create_glue_polys_heat()

◆ create_glue_polys_transport()

◆ create_hot_poly_heat()

◆ create_hot_poly_transport()

◆ create_splines()

◆ d2CpdT2()

◆ d2cpdT2()

◆ d2lambdadT2()

◆ d2mudT2()

◆ data() [1/2]

◆ data() [2/2]

◆ dCpdT()

◆ dcpdT()

◆ delete_heat_polys()

◆ delete_transport_polys()

◆ dlambdadT()

◆ dmudT()

◆ dSdT()

◆ finalize()

◆ finalize_thermo()

◆ finalize_transport()

◆ find_conductivity_poly()

◆ find_heat_poly()

◆ find_viscosity_poly()

◆ fix_reference_points()

◆ fix_switches()

◆ H()

◆ h()

◆ H_ref()

◆ h_ref()

◆ has_components()

◆ has_conductivity()

◆ has_thermo()

◆ has_viscosity()

◆ heat_spline() [1/2]

◆ heat_spline() [2/2]

◆ is_liquid()

◆ is_noble()

◆ label()

◆ lambda()

◆ M()

◆ mu()

◆ operator=()

◆ poly_Cp()

◆ poly_d2CpdT2()

◆ poly_d2LambdadT2()

◆ poly_d2MudT2()

◆ poly_dCpdT()

◆ poly_dLambdadT()

◆ poly_dMudT()

◆ poly_dSdT()

◆ poly_H()

◆ poly_Lambda()

◆ poly_Mu()

◆ poly_S()

◆ reference_formation_enthalpy()

◆ S()

◆ s()

◆ set_component_flag()

◆ set_liquid_flag()

◆ set_mode()