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. More...

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

	NasaPoly1 (const NasaPoly1 &b)
	copy constructor More...

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

virtual SpeciesThermoInterpType *	duplMyselfAsSpeciesThermoInterpType () const
	duplicator More...

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

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. More...

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

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

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

Public Member Functions inherited from SpeciesThermoInterpType
	SpeciesThermoInterpType ()
	Constructor. More...

	SpeciesThermoInterpType (size_t n, doublereal tlow, doublereal thigh, doublereal pref)
	Constructor. More...

virtual	~SpeciesThermoInterpType ()
	Destructor. More...

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

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

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

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

Protected Attributes
vector_fp	m_coeff
	array of polynomial coefficients More...

Protected Attributes inherited from SpeciesThermoInterpType
doublereal	m_lowT
	lowest valid temperature More...

doublereal	m_highT
	Highest valid temperature. More...

doublereal	m_Pref
	Reference state pressure. More...

size_t	m_index
	species index More...

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 48 of file NasaPoly1.h.

Constructor & Destructor Documentation

NasaPoly1 ( )

inline

Empty constructor.

Definition at line 52 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 64 of file NasaPoly1.h.

References NasaPoly1::m_coeff.

NasaPoly1 ( const NasaPoly1 & b )

inline

copy constructor

Parameters

b	object to be copied

Definition at line 75 of file NasaPoly1.h.

References NasaPoly1::m_coeff.

Member Function Documentation

NasaPoly1& operator= ( const NasaPoly1 & b )

inline

assignment operator

Parameters

b	object to be copied

Definition at line 88 of file NasaPoly1.h.

References NasaPoly1::m_coeff.

virtual SpeciesThermoInterpType* duplMyselfAsSpeciesThermoInterpType ( ) const

inlinevirtual

duplicator

Implements SpeciesThermoInterpType.

Definition at line 99 of file NasaPoly1.h.

References NasaPoly1::NasaPoly1().

virtual int reportType ( ) const

inlinevirtual

Returns an integer representing the type of parameterization.

Implements SpeciesThermoInterpType.

Definition at line 104 of file NasaPoly1.h.

References NASA1.

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 128 of file NasaPoly1.h.

References NasaPoly1::m_coeff, SpeciesThermoInterpType::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 152 of file NasaPoly1.h.

References NasaPoly1::updateProperties().

Referenced by NasaPoly2::updatePropertiesTemp().