The NASA polynomial parameterization for one temperature range. More...

#include <NasaPoly1.h>

Inheritance diagram for NasaPoly1:

Collaboration diagram for NasaPoly1:

Public Member Functions
	NasaPoly1 ()
	Empty constructor.

	NasaPoly1 (size_t n, doublereal tlow, doublereal thigh, doublereal pref, const doublereal *coeffs)
	constructor used in templated instantiations

	NasaPoly1 (const NasaPoly1 &b)
	copy constructor

NasaPoly1 &	operator= (const NasaPoly1 &b)
	assignment operator

virtual	~NasaPoly1 ()
	Destructor.

virtual SpeciesThermoInterpType *	duplMyselfAsSpeciesThermoInterpType () const
	duplicator

virtual doublereal	minTemp () const
	Returns the minimum temperature that the thermo parameterization is valid.

virtual doublereal	maxTemp () const
	Returns the maximum temperature that the thermo parameterization is valid.

virtual doublereal	refPressure () const
	Returns the reference pressure (Pa)

virtual int	reportType () const
	Returns an integer representing the type of parameterization.

virtual size_t	speciesIndex () const
	Returns an integer representing the species index.

virtual void	updateProperties (const doublereal tt, doublereal cp_R, doublereal h_RT, doublereal s_R) const
	Update the properties for this species, given a temperature polynomial.

virtual void	updatePropertiesTemp (const doublereal temp, doublereal cp_R, doublereal h_RT, doublereal *s_R) const
	Compute the reference-state property of one species.

virtual void	reportParameters (size_t &n, int &type, doublereal &tlow, doublereal &thigh, doublereal &pref, doublereal *const coeffs) const
	This utility function reports back the type of parameterization and all of the parameters for the species, index.

virtual void	modifyParameters (doublereal *coeffs)
	Modify parameters for the standard state.

Protected Attributes
doublereal	m_lowT
	lowest valid temperature

doublereal	m_highT
	highest valid temperature

doublereal	m_Pref
	standard-state pressure

size_t	m_index
	species index

vector_fp	m_coeff
	array of polynomial coefficients

Detailed Description

The NASA polynomial parameterization for one temperature range.

This parameterization expresses the heat capacity as a fourth-order polynomial. Note that this is the form used in the 1971 NASA equilibrium program and by the Chemkin software package, but differs from the form used in the more recent NASA equilibrium program.

Seven coefficients \((a_0,\dots,a_6)\) are used to represent \( c_p^0(T)\), \( h^0(T)\), and \( s^0(T) \) as polynomials in \( T \) :

\[ \frac{c_p(T)}{R} = a_0 + a_1 T + a_2 T^2 + a_3 T^3 + a_4 T^4 \]

\[ \frac{h^0(T)}{RT} = a_0 + \frac{a_1}{2} T + \frac{a_2}{3} T^2 + \frac{a_3}{4} T^3 + \frac{a_4}{5} T^4 + \frac{a_5}{T}. \]

\[ \frac{s^0(T)}{R} = a_0\ln T + a_1 T + \frac{a_2}{2} T^2 + \frac{a_3}{3} T^3 + \frac{a_4}{4} T^4 + a_6. \]

This class is designed specifically for use by class NasaThermo.

Definition at line 50 of file NasaPoly1.h.

Constructor & Destructor Documentation

NasaPoly1 ( )

inline

Empty constructor.

Definition at line 56 of file NasaPoly1.h.

Referenced by NasaPoly1::duplMyselfAsSpeciesThermoInterpType().

NasaPoly1	(	size_t	n,
		doublereal	tlow,
		doublereal	thigh,
		doublereal	pref,
		const doublereal *	coeffs
	)

inline

constructor used in templated instantiations

Parameters

n	Species index
tlow	Minimum temperature
thigh	Maximum temperature
pref	reference pressure (Pa).
coeffs	Vector of coefficients used to set the parameters for the standard state.

Definition at line 70 of file NasaPoly1.h.

References NasaPoly1::m_coeff.

NasaPoly1 ( const NasaPoly1 & b )

inline

copy constructor

Parameters

b	object to be copied

Definition at line 84 of file NasaPoly1.h.

References NasaPoly1::m_coeff.

virtual ~NasaPoly1 ( )

inlinevirtual

Destructor.

Definition at line 113 of file NasaPoly1.h.

Member Function Documentation

NasaPoly1& operator= ( const NasaPoly1 & b )

inline

assignment operator

Parameters

b	object to be copied

Definition at line 99 of file NasaPoly1.h.

References NasaPoly1::m_coeff, NasaPoly1::m_highT, NasaPoly1::m_index, NasaPoly1::m_lowT, and NasaPoly1::m_Pref.

virtual SpeciesThermoInterpType* duplMyselfAsSpeciesThermoInterpType ( ) const

inlinevirtual

duplicator

Implements SpeciesThermoInterpType.

Definition at line 117 of file NasaPoly1.h.

References NasaPoly1::NasaPoly1().

virtual doublereal minTemp ( ) const

inlinevirtual

Returns the minimum temperature that the thermo parameterization is valid.

Implements SpeciesThermoInterpType.

Definition at line 124 of file NasaPoly1.h.

References NasaPoly1::m_lowT.

virtual doublereal maxTemp ( ) const

inlinevirtual

Returns the maximum temperature that the thermo parameterization is valid.

Implements SpeciesThermoInterpType.

Definition at line 130 of file NasaPoly1.h.

References NasaPoly1::m_highT.

Referenced by NasaThermo::modifyParams(), NasaThermo::reportParams(), and NasaThermo::update_one().

virtual doublereal refPressure ( ) const

inlinevirtual

Returns the reference pressure (Pa)

Implements SpeciesThermoInterpType.

Definition at line 135 of file NasaPoly1.h.

References NasaPoly1::m_Pref.

virtual int reportType ( ) const

inlinevirtual

Returns an integer representing the type of parameterization.

Implements SpeciesThermoInterpType.

Definition at line 140 of file NasaPoly1.h.

References NASA1.

virtual size_t speciesIndex ( ) const

inlinevirtual

Returns an integer representing the species index.

Implements SpeciesThermoInterpType.

Definition at line 145 of file NasaPoly1.h.

References NasaPoly1::m_index.

virtual void updateProperties	(	const doublereal *	tt,
		doublereal *	cp_R,
		doublereal *	h_RT,
		doublereal *	s_R
	)		const

inlinevirtual

Update the properties for this species, given a temperature polynomial.

This method is called with a pointer to an array containing the functions of temperature needed by this parameterization, and three pointers to arrays where the computed property values should be written. This method updates only one value in each array.

Temperature Polynomial: tt[0] = t; tt[1] = t*t; tt[2] = m_t[1]*t; tt[3] = m_t[2]*t; tt[4] = 1.0/t; tt[5] = std::log(t);

Parameters

tt	vector of temperature polynomials
cp_R	Vector of Dimensionless heat capacities. (length m_kk).
h_RT	Vector of Dimensionless enthalpies. (length m_kk).
s_R	Vector of Dimensionless entropies. (length m_kk).

Reimplemented from SpeciesThermoInterpType.

Definition at line 172 of file NasaPoly1.h.

References ckr::cp(), NasaPoly1::m_coeff, NasaPoly1::m_index, and Cantera::OneThird.

Referenced by NasaThermo::update_one(), NasaPoly2::updateProperties(), and NasaPoly1::updatePropertiesTemp().

virtual void updatePropertiesTemp	(	const doublereal	temp,
		doublereal *	cp_R,
		doublereal *	h_RT,
		doublereal *	s_R
	)		const

inlinevirtual

Compute the reference-state property of one species.

Given temperature T in K, this method updates the values of the non-dimensional heat capacity at constant pressure, enthalpy, and entropy, at the reference pressure, Pref of one of the species. The species index is used to reference into the cp_R, h_RT, and s_R arrays.

Parameters

temp	Temperature (Kelvin)
cp_R	Vector of Dimensionless heat capacities. (length m_kk).
h_RT	Vector of Dimensionless enthalpies. (length m_kk).
s_R	Vector of Dimensionless entropies. (length m_kk).

Implements SpeciesThermoInterpType.

Definition at line 214 of file NasaPoly1.h.

References NasaPoly1::updateProperties().

Referenced by NasaPoly2::updatePropertiesTemp().

virtual void reportParameters	(	size_t &	n,
		int &	type,
		doublereal &	tlow,
		doublereal &	thigh,
		doublereal &	pref,
		doublereal *const	coeffs
	)		const

inlinevirtual

This utility function reports back the type of parameterization and all of the parameters for the species, index.

All parameters are output variables

Parameters

n	Species index
type	Integer type of the standard type
tlow	output - Minimum temperature
thigh	output - Maximum temperature
pref	output - reference pressure (Pa).
coeffs	Vector of coefficients used to set the parameters for the standard state.