Nasa9PolyMultiTempRegion Class Reference
[Species Reference-State Thermodynamic Properties]

The NASA 9 polynomial parameterization for a single species encompassing multiple temperature regions. More...

#include <Nasa9PolyMultiTempRegion.h>

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List of all members.

Public Member Functions

 Nasa9PolyMultiTempRegion ()
 Empty constructor.
 Nasa9PolyMultiTempRegion (std::vector< Cantera::Nasa9Poly1 * > &regionPts)
 Constructor used in templated instantiations.
 Nasa9PolyMultiTempRegion (const Nasa9PolyMultiTempRegion &b)
 Copy constructor.
Nasa9PolyMultiTempRegionoperator= (const Nasa9PolyMultiTempRegion &b)
 Assignment operator.
virtual ~Nasa9PolyMultiTempRegion ()
 Destructor.
virtual SpeciesThermoInterpTypeduplMyselfAsSpeciesThermoInterpType () 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 int 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 (int &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
int m_index
 species index
int m_numTempRegions
 Number of temperature regions.
vector_fp m_lowerTempBounds
 Lower boundaries of each temperature regions.
std::vector< Nasa9Poly1 * > m_regionPts
 pointers to the objects
int m_currRegion
 current region

Detailed Description

The NASA 9 polynomial parameterization for a single species encompassing multiple temperature regions.

This parameterization expresses the heat capacity via a 7 coefficient polynomial. Note that this is the form used in the 2002 NASA equilibrium program. A reference to the form is provided below:

"NASA Glenn Coefficients for Calculating Thermodynamic Properties of Individual Species," B. J. McBride, M. J. Zehe, S. Gordon NASA/TP-2002-211556, Sept. 2002

Nine 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 $ :

\[ \frac{C_p^0(T)}{R} = a_0 T^{-2} + a_1 T^{-1} + a_2 + a_3 T + a_4 T^2 + a_5 T^3 + a_6 T^4 \]

\[ \frac{H^0(T)}{RT} = - a_0 T^{-2} + a_1 \frac{\ln(T)}{T} + a_2 + a_3 T + a_4 T^2 + a_5 T^3 + a_6 T^4 + \frac{a_7}{T} \]

\[ \frac{s^0(T)}{R} = - \frac{a_0}{2} T^{-2} - a_1 T^{-1} + a_2 \ln(T) + + a_3 T \frac{a_4}{2} T^2 + \frac{a_5}{3} T^3 + \frac{a_6}{4} T^4 + a_8 \]

The standard state is assumed to be an ideal gas at the standard pressure of 1 bar, for gases. For condensed species, the standard state is the pure crystalline or liquid substance at the standard pressure of 1 atm.

These NASA representations may have multiple temperature regions through the use of this Nasa9PolyMultiTempRegion object, which uses multiple copies of the Nasa9Poly1 object to handle multiple temperature regions.

Definition at line 75 of file Nasa9PolyMultiTempRegion.h.


Constructor & Destructor Documentation

Empty constructor.

Definition at line 77 of file Nasa9PolyMultiTempRegion.cpp.

Referenced by Nasa9PolyMultiTempRegion::duplMyselfAsSpeciesThermoInterpType().

Nasa9PolyMultiTempRegion ( std::vector< Cantera::Nasa9Poly1 * > &  regionPts  ) 

Constructor used in templated instantiations.

Parameters:
regionPts Vector of pointers to Nasa9Poly1 objects. These objects all refer to the temperature regions for the same species. The vector must be in increasing temperature region format. Together they represent the reference temperature parameterization for a single species.

Note, after the constructor, we will own the underlying Nasa9Poly1 objects and be responsible for owning them.

Definition at line 98 of file Nasa9PolyMultiTempRegion.cpp.

References Nasa9PolyMultiTempRegion::m_highT, Nasa9PolyMultiTempRegion::m_index, Nasa9PolyMultiTempRegion::m_lowerTempBounds, Nasa9PolyMultiTempRegion::m_lowT, Nasa9PolyMultiTempRegion::m_numTempRegions, Nasa9PolyMultiTempRegion::m_Pref, Nasa9PolyMultiTempRegion::m_regionPts, Nasa9PolyMultiTempRegion::maxTemp(), Nasa9PolyMultiTempRegion::refPressure(), and Nasa9PolyMultiTempRegion::speciesIndex().

Copy constructor.

Parameters:
b object to be copied

Definition at line 143 of file Nasa9PolyMultiTempRegion.cpp.

References Nasa9PolyMultiTempRegion::m_numTempRegions, and Nasa9PolyMultiTempRegion::m_regionPts.

~Nasa9PolyMultiTempRegion (  )  [virtual]

Member Function Documentation

SpeciesThermoInterpType * duplMyselfAsSpeciesThermoInterpType (  )  const [virtual]
doublereal maxTemp (  )  const [virtual]

Returns the maximum temperature that the thermo parameterization is valid.

Implements SpeciesThermoInterpType.

Definition at line 208 of file Nasa9PolyMultiTempRegion.cpp.

References Nasa9PolyMultiTempRegion::m_highT.

Referenced by Nasa9PolyMultiTempRegion::Nasa9PolyMultiTempRegion(), and Nasa9PolyMultiTempRegion::updateProperties().

doublereal minTemp (  )  const [virtual]

Returns the minimum temperature that the thermo parameterization is valid.

Implements SpeciesThermoInterpType.

Definition at line 202 of file Nasa9PolyMultiTempRegion.cpp.

References Nasa9PolyMultiTempRegion::m_lowT.

Referenced by Nasa9PolyMultiTempRegion::updateProperties().

void modifyParameters ( doublereal *  coeffs  )  [virtual]

Modify parameters for the standard state.

Parameters:
coeffs Vector of coefficients used to set the parameters for the standard state.

Reimplemented from SpeciesThermoInterpType.

Definition at line 372 of file Nasa9PolyMultiTempRegion.cpp.

References Nasa9PolyMultiTempRegion::m_numTempRegions, and Nasa9PolyMultiTempRegion::m_regionPts.

Nasa9PolyMultiTempRegion & operator= ( const Nasa9PolyMultiTempRegion b  ) 
doublereal refPressure (  )  const [virtual]

Returns the reference pressure (Pa).

Implements SpeciesThermoInterpType.

Definition at line 213 of file Nasa9PolyMultiTempRegion.cpp.

References Nasa9PolyMultiTempRegion::m_Pref.

Referenced by Nasa9PolyMultiTempRegion::Nasa9PolyMultiTempRegion().

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

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. There are 1 + 11*nzones coefficients coeffs[0] is equal to nTempZones. index = 1 for each zone: coeffs[index] = minTempZone coeffs[index+1] = maxTempZone coeffs[index+2+i] from i =0,9 are the coefficients themselves

Implements SpeciesThermoInterpType.

Definition at line 340 of file Nasa9PolyMultiTempRegion.cpp.

References Nasa9PolyMultiTempRegion::m_highT, Nasa9PolyMultiTempRegion::m_index, Nasa9PolyMultiTempRegion::m_lowT, Nasa9PolyMultiTempRegion::m_numTempRegions, Nasa9PolyMultiTempRegion::m_Pref, Nasa9PolyMultiTempRegion::m_regionPts, and NASA9MULTITEMP.

int reportType (  )  const [virtual]

Returns an integer representing the type of parameterization.

Implements SpeciesThermoInterpType.

Definition at line 218 of file Nasa9PolyMultiTempRegion.cpp.

References NASA9MULTITEMP.

int speciesIndex (  )  const [virtual]

Returns an integer representing the species index.

Implements SpeciesThermoInterpType.

Definition at line 224 of file Nasa9PolyMultiTempRegion.cpp.

References Nasa9PolyMultiTempRegion::m_index.

Referenced by Nasa9PolyMultiTempRegion::Nasa9PolyMultiTempRegion().

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

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] = t*t*t; tt[3] = t*t*t*t; tt[4] = 1.0/t; tt[5] = 1.0/(t*t); tt[6] = 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 253 of file Nasa9PolyMultiTempRegion.cpp.

References Nasa9PolyMultiTempRegion::m_currRegion, Nasa9PolyMultiTempRegion::m_numTempRegions, Nasa9PolyMultiTempRegion::m_regionPts, Nasa9PolyMultiTempRegion::maxTemp(), and Nasa9PolyMultiTempRegion::minTemp().

Referenced by Nasa9PolyMultiTempRegion::updatePropertiesTemp().

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

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.

Temperature Polynomial: tt[0] = t; tt[1] = t*t; tt[2] = t*t*t; tt[3] = t*t*t*t; tt[4] = 1.0/t; tt[5] = 1.0/(t*t); tt[6] = std::log(t);

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 303 of file Nasa9PolyMultiTempRegion.cpp.

References Nasa9PolyMultiTempRegion::m_currRegion, Nasa9PolyMultiTempRegion::m_lowerTempBounds, Nasa9PolyMultiTempRegion::m_numTempRegions, and Nasa9PolyMultiTempRegion::updateProperties().


Member Data Documentation

int m_currRegion [mutable, protected]
doublereal m_highT [protected]
int m_index [protected]
vector_fp m_lowerTempBounds [protected]
doublereal m_lowT [protected]
int m_numTempRegions [protected]
doublereal m_Pref [protected]
std::vector<Nasa9Poly1 *> m_regionPts [protected]

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