Nektar::EquationOfState Class Reference

Encapsulates equations of state allowing us to obtain thermodynamic properties: most relations are in the form X(rho,e) More...

#include <EquationOfState.h>

Inheritance diagram for Nektar::EquationOfState:

Public Member Functions
virtual	~EquationOfState ()
NekDouble	GetTemperature (const NekDouble &rho, const NekDouble &e)
	Calculate the temperature. More...
vec_t	GetTemperature (const vec_t &rho, const vec_t &e)
NekDouble	GetPressure (const NekDouble &rho, const NekDouble &e)
	Calculate the pressure. More...
vec_t	GetPressure (const vec_t &rho, const vec_t &e)
NekDouble	GetSoundSpeed (const NekDouble &rho, const NekDouble &e)
	Calculate the sound speed. More...
NekDouble	GetEntropy (const NekDouble &rho, const NekDouble &e)
	Calculate the entropy. More...
NekDouble	GetDPDrho_e (const NekDouble &rho, const NekDouble &e)
	Calculate the partial derivative of P(rho,e) with respect to rho. More...
NekDouble	GetDPDe_rho (const NekDouble &rho, const NekDouble &e)
	Calculate the partial derivative of P(rho,e) with respect to e. More...
NekDouble	GetEFromRhoP (const NekDouble &rho, const NekDouble &p)
	Obtain the internal energy from rho and P. More...
NekDouble	GetRhoFromPT (const NekDouble &p, const NekDouble &T)
	Obtain the density from P and T. More...

Protected Member Functions
	EquationOfState (const LibUtilities::SessionReaderSharedPtr &pSession)
	Constructor. More...
	EquationOfState (const NekDouble &gamma, const NekDouble &gasConstant)
	Programmatic Constructor. More...
virtual NekDouble	v_GetTemperature (const NekDouble &rho, const NekDouble &e)=0
virtual vec_t	v_GetTemperature (const vec_t &rho, const vec_t &e)=0
virtual NekDouble	v_GetPressure (const NekDouble &rho, const NekDouble &e)=0
virtual vec_t	v_GetPressure (const vec_t &rho, const vec_t &e)=0
virtual NekDouble	v_GetSoundSpeed (const NekDouble &rho, const NekDouble &e)
virtual NekDouble	v_GetEntropy (const NekDouble &rho, const NekDouble &e)=0
virtual NekDouble	v_GetDPDrho_e (const NekDouble &rho, const NekDouble &e)=0
virtual NekDouble	v_GetDPDe_rho (const NekDouble &rho, const NekDouble &e)=0
virtual NekDouble	v_GetEFromRhoP (const NekDouble &rho, const NekDouble &p)=0
virtual NekDouble	v_GetRhoFromPT (const NekDouble &rho, const NekDouble &p)=0

Protected Attributes
NekDouble	m_gamma
NekDouble	m_gasConstant
NekDouble	m_gammaMone
NekDouble	m_gammaMoneOgasConst

Detailed Description

Encapsulates equations of state allowing us to obtain thermodynamic properties: most relations are in the form X(rho,e)

Definition at line 66 of file EquationOfState.h.

Constructor & Destructor Documentation

~EquationOfState()

virtual Nektar::EquationOfState::~EquationOfState ( )

inlinevirtual

Definition at line 69 of file EquationOfState.h.

    {
    }

EquationOfState() [1/2]

Nektar::EquationOfState::EquationOfState ( const LibUtilities::SessionReaderSharedPtr &  pSession )

protected

Constructor.

Definition at line 47 of file EquationOfState.cpp.

{
    pSession->LoadParameter("Gamma", m_gamma, 1.4);
    pSession->LoadParameter("GasConstant", m_gasConstant, 287.058);
 
    m_gammaMone          = m_gamma - 1.0;
    m_gammaMoneOgasConst = m_gammaMone / m_gasConstant;
}

References m_gamma, m_gammaMone, m_gammaMoneOgasConst, and m_gasConstant.

EquationOfState() [2/2]

Nektar::EquationOfState::EquationOfState ( const NekDouble &  gamma, const NekDouble &  gasConstant  )

protected

Programmatic Constructor.

Definition at line 57 of file EquationOfState.cpp.

    : m_gamma{gamma}, m_gasConstant{gasConstant}
{
}

Member Function Documentation

GetDPDe_rho()

NekDouble Nektar::EquationOfState::GetDPDe_rho	(	const NekDouble &	rho,
		const NekDouble &	e
	)

Calculate the partial derivative of P(rho,e) with respect to e.

Definition at line 100 of file EquationOfState.cpp.

{
    return v_GetDPDe_rho(rho, e);
}

References v_GetDPDe_rho().

Referenced by Nektar::PengRobinsonEoS::v_GetDPDrho_e(), Nektar::RedlichKwongEoS::v_GetDPDrho_e(), and v_GetSoundSpeed().

GetDPDrho_e()

NekDouble Nektar::EquationOfState::GetDPDrho_e	(	const NekDouble &	rho,
		const NekDouble &	e
	)

Calculate the partial derivative of P(rho,e) with respect to rho.

Definition at line 95 of file EquationOfState.cpp.

{
    return v_GetDPDrho_e(rho, e);
}

References v_GetDPDrho_e().

Referenced by v_GetSoundSpeed().

GetEFromRhoP()

NekDouble Nektar::EquationOfState::GetEFromRhoP	(	const NekDouble &	rho,
		const NekDouble &	p
	)

Obtain the internal energy from rho and P.

Definition at line 105 of file EquationOfState.cpp.

{
    return v_GetEFromRhoP(rho, p);
}

References CellMLToNektar.cellml_metadata::p, and v_GetEFromRhoP().

GetEntropy()

NekDouble Nektar::EquationOfState::GetEntropy	(	const NekDouble &	rho,
		const NekDouble &	e
	)

Calculate the entropy.

Definition at line 90 of file EquationOfState.cpp.

{
    return v_GetEntropy(rho, e);
}

References v_GetEntropy().

GetPressure() [1/2]

NekDouble Nektar::EquationOfState::GetPressure	(	const NekDouble &	rho,
		const NekDouble &	e
	)

Calculate the pressure.

Definition at line 74 of file EquationOfState.cpp.

{
    return v_GetPressure(rho, e);
}

References v_GetPressure().

Referenced by v_GetSoundSpeed().

GetPressure() [2/2]

vec_t Nektar::EquationOfState::GetPressure	(	const vec_t &	rho,
		const vec_t &	e
	)

Definition at line 79 of file EquationOfState.cpp.

{
    return v_GetPressure(rho, e);
}

References v_GetPressure().

GetRhoFromPT()

NekDouble Nektar::EquationOfState::GetRhoFromPT	(	const NekDouble &	p,
		const NekDouble &	T
	)

Obtain the density from P and T.

Definition at line 111 of file EquationOfState.cpp.

{
    return v_GetRhoFromPT(p, T);
}

References CellMLToNektar.cellml_metadata::p, and v_GetRhoFromPT().

GetSoundSpeed()

NekDouble Nektar::EquationOfState::GetSoundSpeed	(	const NekDouble &	rho,
		const NekDouble &	e
	)

Calculate the sound speed.

Definition at line 84 of file EquationOfState.cpp.

{
    return v_GetSoundSpeed(rho, e);
}

References v_GetSoundSpeed().

GetTemperature() [1/2]

NekDouble Nektar::EquationOfState::GetTemperature	(	const NekDouble &	rho,
		const NekDouble &	e
	)

Calculate the temperature.

Definition at line 63 of file EquationOfState.cpp.

{
    return v_GetTemperature(rho, e);
}

References v_GetTemperature().

Referenced by Nektar::PengRobinsonEoS::v_GetDPDe_rho(), Nektar::RedlichKwongEoS::v_GetDPDe_rho(), Nektar::PengRobinsonEoS::v_GetDPDrho_e(), Nektar::RedlichKwongEoS::v_GetDPDrho_e(), Nektar::IdealGasEoS::v_GetEntropy(), Nektar::PengRobinsonEoS::v_GetEntropy(), Nektar::RedlichKwongEoS::v_GetEntropy(), Nektar::VanDerWaalsEoS::v_GetEntropy(), and Nektar::IdealGasEoS::v_GetSoundSpeed().

GetTemperature() [2/2]

vec_t Nektar::EquationOfState::GetTemperature	(	const vec_t &	rho,
		const vec_t &	e
	)

Definition at line 69 of file EquationOfState.cpp.

{
    return v_GetTemperature(rho, e);
}

References v_GetTemperature().

v_GetDPDe_rho()

virtual NekDouble Nektar::EquationOfState::v_GetDPDe_rho ( const NekDouble &  rho, const NekDouble &  e  )

protectedpure virtual

Implemented in Nektar::IdealGasEoS, Nektar::PengRobinsonEoS, Nektar::RedlichKwongEoS, and Nektar::VanDerWaalsEoS.

Referenced by GetDPDe_rho().

v_GetDPDrho_e()

virtual NekDouble Nektar::EquationOfState::v_GetDPDrho_e ( const NekDouble &  rho, const NekDouble &  e  )

protectedpure virtual

Implemented in Nektar::IdealGasEoS, Nektar::PengRobinsonEoS, Nektar::RedlichKwongEoS, and Nektar::VanDerWaalsEoS.

Referenced by GetDPDrho_e().

v_GetEFromRhoP()

virtual NekDouble Nektar::EquationOfState::v_GetEFromRhoP ( const NekDouble &  rho, const NekDouble &  p  )

protectedpure virtual

Implemented in Nektar::IdealGasEoS, Nektar::PengRobinsonEoS, Nektar::RedlichKwongEoS, and Nektar::VanDerWaalsEoS.

Referenced by GetEFromRhoP().

v_GetEntropy()

virtual NekDouble Nektar::EquationOfState::v_GetEntropy ( const NekDouble &  rho, const NekDouble &  e  )

protectedpure virtual

Implemented in Nektar::IdealGasEoS, Nektar::PengRobinsonEoS, Nektar::RedlichKwongEoS, and Nektar::VanDerWaalsEoS.

Referenced by GetEntropy().

v_GetPressure() [1/2]

virtual NekDouble Nektar::EquationOfState::v_GetPressure ( const NekDouble &  rho, const NekDouble &  e  )

protectedpure virtual

Implemented in Nektar::IdealGasEoS, Nektar::PengRobinsonEoS, Nektar::RedlichKwongEoS, and Nektar::VanDerWaalsEoS.

Referenced by GetPressure().

v_GetPressure() [2/2]

virtual vec_t Nektar::EquationOfState::v_GetPressure ( const vec_t &  rho, const vec_t &  e  )

protectedpure virtual

Implemented in Nektar::IdealGasEoS, Nektar::PengRobinsonEoS, Nektar::RedlichKwongEoS, and Nektar::VanDerWaalsEoS.

v_GetRhoFromPT()

virtual NekDouble Nektar::EquationOfState::v_GetRhoFromPT ( const NekDouble &  rho, const NekDouble &  p  )

protectedpure virtual

Implemented in Nektar::IdealGasEoS, Nektar::PengRobinsonEoS, Nektar::RedlichKwongEoS, and Nektar::VanDerWaalsEoS.

Referenced by GetRhoFromPT().

v_GetSoundSpeed()

NekDouble Nektar::EquationOfState::v_GetSoundSpeed ( const NekDouble &  rho, const NekDouble &  e  )

protectedvirtual

Reimplemented in Nektar::IdealGasEoS.

Definition at line 118 of file EquationOfState.cpp.

{
    NekDouble p      = GetPressure(rho, e);
    NekDouble dpde   = GetDPDe_rho(rho, e);
    NekDouble dpdrho = GetDPDrho_e(rho, e);
 
    NekDouble enthalpy = e + p / rho;
 
    NekDouble chi   = dpdrho - e / rho * dpde;
    NekDouble kappa = dpde / rho;
 
    return sqrt(chi + kappa * enthalpy);
}

References GetDPDe_rho(), GetDPDrho_e(), GetPressure(), CellMLToNektar.cellml_metadata::p, and tinysimd::sqrt().

Referenced by GetSoundSpeed().

v_GetTemperature() [1/2]

virtual NekDouble Nektar::EquationOfState::v_GetTemperature ( const NekDouble &  rho, const NekDouble &  e  )

protectedpure virtual

Implemented in Nektar::IdealGasEoS, Nektar::PengRobinsonEoS, Nektar::RedlichKwongEoS, and Nektar::VanDerWaalsEoS.

Referenced by GetTemperature().

v_GetTemperature() [2/2]

virtual vec_t Nektar::EquationOfState::v_GetTemperature ( const vec_t &  rho, const vec_t &  e  )

protectedpure virtual

Implemented in Nektar::IdealGasEoS, Nektar::PengRobinsonEoS, Nektar::RedlichKwongEoS, and Nektar::VanDerWaalsEoS.

Member Data Documentation

m_gamma

NekDouble Nektar::EquationOfState::m_gamma

protected

Definition at line 102 of file EquationOfState.h.

Referenced by EquationOfState(), Nektar::VanDerWaalsEoS::GetPressureKernel(), Nektar::PengRobinsonEoS::GetTemperatureKernel(), Nektar::RedlichKwongEoS::GetTemperatureKernel(), Nektar::VanDerWaalsEoS::GetTemperatureKernel(), Nektar::IdealGasEoS::v_GetDPDe_rho(), Nektar::PengRobinsonEoS::v_GetDPDe_rho(), Nektar::RedlichKwongEoS::v_GetDPDe_rho(), Nektar::VanDerWaalsEoS::v_GetDPDe_rho(), Nektar::IdealGasEoS::v_GetDPDrho_e(), Nektar::VanDerWaalsEoS::v_GetDPDrho_e(), Nektar::IdealGasEoS::v_GetEFromRhoP(), Nektar::PengRobinsonEoS::v_GetEFromRhoP(), Nektar::RedlichKwongEoS::v_GetEFromRhoP(), Nektar::VanDerWaalsEoS::v_GetEFromRhoP(), Nektar::IdealGasEoS::v_GetEntropy(), Nektar::PengRobinsonEoS::v_GetEntropy(), Nektar::RedlichKwongEoS::v_GetEntropy(), Nektar::VanDerWaalsEoS::v_GetEntropy(), and Nektar::IdealGasEoS::v_GetSoundSpeed().

m_gammaMone

NekDouble Nektar::EquationOfState::m_gammaMone

protected

Definition at line 104 of file EquationOfState.h.

Referenced by EquationOfState(), and Nektar::IdealGasEoS::GetPressureKernel().

m_gammaMoneOgasConst

NekDouble Nektar::EquationOfState::m_gammaMoneOgasConst

protected

Definition at line 105 of file EquationOfState.h.

Referenced by EquationOfState(), and Nektar::IdealGasEoS::GetTemperatureKernel().

m_gasConstant

NekDouble Nektar::EquationOfState::m_gasConstant

protected

Definition at line 103 of file EquationOfState.h.

Referenced by EquationOfState(), Nektar::PengRobinsonEoS::GetPressureKernel(), Nektar::RedlichKwongEoS::GetPressureKernel(), Nektar::PengRobinsonEoS::GetTemperatureKernel(), Nektar::RedlichKwongEoS::GetTemperatureKernel(), Nektar::VanDerWaalsEoS::GetTemperatureKernel(), Nektar::PengRobinsonEoS::PengRobinsonEoS(), Nektar::RedlichKwongEoS::RedlichKwongEoS(), Nektar::PengRobinsonEoS::v_GetDPDe_rho(), Nektar::RedlichKwongEoS::v_GetDPDe_rho(), Nektar::PengRobinsonEoS::v_GetDPDrho_e(), Nektar::RedlichKwongEoS::v_GetDPDrho_e(), Nektar::PengRobinsonEoS::v_GetEFromRhoP(), Nektar::RedlichKwongEoS::v_GetEFromRhoP(), Nektar::IdealGasEoS::v_GetEntropy(), Nektar::PengRobinsonEoS::v_GetEntropy(), Nektar::RedlichKwongEoS::v_GetEntropy(), Nektar::VanDerWaalsEoS::v_GetEntropy(), Nektar::IdealGasEoS::v_GetRhoFromPT(), Nektar::PengRobinsonEoS::v_GetRhoFromPT(), Nektar::RedlichKwongEoS::v_GetRhoFromPT(), Nektar::VanDerWaalsEoS::v_GetRhoFromPT(), Nektar::IdealGasEoS::v_GetSoundSpeed(), and Nektar::VanDerWaalsEoS::VanDerWaalsEoS().