The NASA polynomial parameterization for two temperature ranges. More...

#include <NasaPoly2.h>

Inheritance diagram for NasaPoly2:

Collaboration diagram for NasaPoly2:

Public Member Functions
	NasaPoly2 ()
	Empty constructor.

	NasaPoly2 (size_t n, doublereal tlow, doublereal thigh, doublereal pref, const doublereal *coeffs)
	Full Constructor.

	NasaPoly2 (const NasaPoly2 &b)
	Copy Constructor.

NasaPoly2 &	operator= (const NasaPoly2 &b)
	Assignment operator.

virtual	~NasaPoly2 ()
	destructor

virtual SpeciesThermoInterpType *	duplMyselfAsSpeciesThermoInterpType () const
	duplicator

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

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

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.

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.

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

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_midT
	Midrange temperature.

doublereal	m_highT
	Highest valid temperature.

doublereal	m_Pref
	Reference state pressure.

NasaPoly1	mnp_low
	NasaPoly1 object for the low temperature region.

NasaPoly1	mnp_high
	NasaPoly1 object for the high temperature region.

size_t	m_index
	species index

vector_fp	m_coeff
	array of polynomial coefficients

Detailed Description

The NASA polynomial parameterization for two temperature ranges.

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 the class GeneralSpeciesThermo.

Definition at line 51 of file NasaPoly2.h.

Constructor & Destructor Documentation

NasaPoly2 ( )

inline

Empty constructor.

Definition at line 57 of file NasaPoly2.h.

Referenced by NasaPoly2::duplMyselfAsSpeciesThermoInterpType().

NasaPoly2	(	size_t	n,
		doublereal	tlow,
		doublereal	thigh,
		doublereal	pref,
		const doublereal *	coeffs
	)

inline

Full Constructor.

Parameters

n	Species index
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.

Definition at line 75 of file NasaPoly2.h.

References NasaPoly2::m_coeff, and NasaPoly2::m_midT.

NasaPoly2 ( const NasaPoly2 & b )

inline

Copy Constructor.

Parameters

b	object to be copied.

Definition at line 93 of file NasaPoly2.h.

virtual ~NasaPoly2 ( )

inlinevirtual

destructor

Definition at line 123 of file NasaPoly2.h.

Member Function Documentation

NasaPoly2& operator= ( const NasaPoly2 & b )

inline

Assignment operator.

Parameters

b	object to be copied.

Definition at line 108 of file NasaPoly2.h.

References NasaPoly2::m_coeff, NasaPoly2::m_highT, NasaPoly2::m_index, NasaPoly2::m_lowT, NasaPoly2::m_midT, NasaPoly2::m_Pref, NasaPoly2::mnp_high, and NasaPoly2::mnp_low.

virtual SpeciesThermoInterpType* duplMyselfAsSpeciesThermoInterpType ( ) const

inlinevirtual

duplicator

Implements SpeciesThermoInterpType.

Definition at line 127 of file NasaPoly2.h.

References NasaPoly2::NasaPoly2().

doublereal minTemp ( ) const

inlinevirtual

Returns the minimum temperature that the thermo parameterization is valid.

Implements SpeciesThermoInterpType.

Definition at line 134 of file NasaPoly2.h.

References NasaPoly2::m_lowT.

doublereal maxTemp ( ) const

inlinevirtual

Returns the maximum temperature that the thermo parameterization is valid.

Implements SpeciesThermoInterpType.

Definition at line 140 of file NasaPoly2.h.

References NasaPoly2::m_highT.

doublereal refPressure ( ) const

inlinevirtual

Returns the reference pressure (Pa)

Implements SpeciesThermoInterpType.

Definition at line 145 of file NasaPoly2.h.

References NasaPoly2::m_Pref.

virtual int reportType ( ) const

inlinevirtual

Returns an integer representing the type of parameterization.

Implements SpeciesThermoInterpType.

Definition at line 150 of file NasaPoly2.h.

References NASA2.

virtual size_t speciesIndex ( ) const

inlinevirtual

Returns an integer representing the species index.

Implements SpeciesThermoInterpType.

Definition at line 155 of file NasaPoly2.h.

References NasaPoly2::m_index.

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 183 of file NasaPoly2.h.

References NasaPoly2::m_midT, NasaPoly2::mnp_high, NasaPoly2::mnp_low, and NasaPoly1::updateProperties().

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 210 of file NasaPoly2.h.

References NasaPoly2::m_midT, NasaPoly2::mnp_high, NasaPoly2::mnp_low, and NasaPoly1::updatePropertiesTemp().

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.