Detailed Description

The dimensionless Gibbs free energy in region2 defined in IF97-Rev

Functions
double	computeGamma0 (const double tau, const double pi)

double	getGamma (const double tau, const double pi)

double	getdGammadTau (const double tau, const double pi)

double	getdGammadPi (const double tau, const double pi)

Variables
static constexpr std::array< int, 9 >	J0 = {0, 1, -5, -4, -3, -2, -1, 2, 3}

static constexpr std::array< double, 9 >	n0

static constexpr std::array< double, 43 >	n

static constexpr std::array< int, 43 >	I

static constexpr std::array< int, 43 >	J

Function Documentation

◆ computeGamma0()

double MaterialLib::Fluid::DimensionlessGibbsFreeEnergyRegion2::computeGamma0	(	const double	tau,
		const double	pi )

Definition at line 56 of file DimensionlessGibbsFreeEnergyRegion2.cpp.

{
    if ((pi < 0.) || (pi == 0.))
    {
        OGS_FATAL(
            "The dimensionless Gibbs free energy in IAPWS-IF97 region2 can not "
            "be calculated from a non-positive pressure.");
    }
 
    double val = std::log(pi);
    for (int i = 0; i < 9; i++)
    {
        val += n0[i] * std::pow(tau, J0[i]);
    }
 
    return val;
}

References J0, n0, and OGS_FATAL.

Referenced by getGamma().

◆ getdGammadPi()

double MaterialLib::Fluid::DimensionlessGibbsFreeEnergyRegion2::getdGammadPi	(	const double	tau,
		const double	pi )

Get the 1st order partial derivative of the dimensionless Gibbs free energy with respect to dimensionless pressure, pi

Definition at line 103 of file DimensionlessGibbsFreeEnergyRegion2.cpp.

{
    if ((pi < 0.) || (pi == 0.))
    {
        OGS_FATAL(
            "The dimensionless Gibbs free energy in IAPWS-IF97 region2 can not "
            "be calculated from a non-positive pressure.");
    }
 
    double val = 1 / pi;
    for (int i = 0; i < 43; i++)
    {
        val += n[i] * I[i] * std::pow(pi, I[i] - 1) * std::pow(tau - 0.5, J[i]);
    }
 
    return val;
}

References I, J, n, and OGS_FATAL.

Referenced by MaterialPropertyLib::WaterVapourDensityIAPWSIF97Region4::value().

◆ getdGammadTau()

double MaterialLib::Fluid::DimensionlessGibbsFreeEnergyRegion2::getdGammadTau	(	const double	tau,
		const double	pi )

Get the 1st order partial derivative of the dimensionless Gibbs free energy with respect to dimensionless temperature, tau

Definition at line 85 of file DimensionlessGibbsFreeEnergyRegion2.cpp.

{
    double val1 = 0.;
    double val2 = 0.;
    for (int i = 0; i < 9; i++)
    {
        val1 += n0[i] * J0[i] * std::pow(tau, J0[i] - 1);
    }
 
    for (int i = 0; i < 43; i++)
    {
        val2 +=
            n[i] * J[i] * std::pow(pi, I[i]) * std::pow(tau - 0.5, J[i] - 1);
    }
 
    return val1 + val2;
}

References I, J, J0, n, and n0.

Referenced by MaterialPropertyLib::WaterVapourEnthalpyIAPWSIF97Region4::value().

◆ getGamma()

double MaterialLib::Fluid::DimensionlessGibbsFreeEnergyRegion2::getGamma	(	const double	tau,
		const double	pi )

Parameters

pi	Dimensionless temperature
tau	Dimensionless pressure

Definition at line 74 of file DimensionlessGibbsFreeEnergyRegion2.cpp.

{
    double val = computeGamma0(tau, pi);
    for (int i = 0; i < 43; i++)
    {
        val += n[i] * std::pow(pi, I[i]) * std::pow(tau - 0.5, J[i]);
    }
 
    return val;
}

References computeGamma0(), I, J, and n.

Variable Documentation

◆ I

constexpr std::array<int, 43> MaterialLib::Fluid::DimensionlessGibbsFreeEnergyRegion2::I

staticconstexpr

Initial value:

= {
    1,  1,  1,  1,  1,  2,  2,  2,  2,  2,  3,  3,  3, 3,  3,
    4,  4,  4,  5,  6,  6,  6,  7,  7,  7,  8,  8,  9, 10, 10,
    10, 16, 16, 18, 20, 20, 20, 21, 22, 23, 24, 24, 24}

Definition at line 46 of file DimensionlessGibbsFreeEnergyRegion2.cpp.

                                       {
    1,  1,  1,  1,  1,  2,  2,  2,  2,  2,  3,  3,  3, 3,  3,
    4,  4,  4,  5,  6,  6,  6,  7,  7,  7,  8,  8,  9, 10, 10,
    10, 16, 16, 18, 20, 20, 20, 21, 22, 23, 24, 24, 24};

Referenced by getdGammadPi(), getdGammadTau(), and getGamma().

◆ J

constexpr std::array<int, 43> MaterialLib::Fluid::DimensionlessGibbsFreeEnergyRegion2::J

staticconstexpr

Initial value:

= {
    0,  1,  2,  3,  6,  1,  2,  4,  7,  36, 0,  1,  3,  6, 35,
    1,  2,  3,  7,  3,  16, 35, 0,  11, 25, 8,  36, 13, 4, 10,
    14, 29, 50, 57, 20, 35, 48, 21, 53, 39, 26, 40, 58}

Definition at line 51 of file DimensionlessGibbsFreeEnergyRegion2.cpp.

                                       {
    0,  1,  2,  3,  6,  1,  2,  4,  7,  36, 0,  1,  3,  6, 35,
    1,  2,  3,  7,  3,  16, 35, 0,  11, 25, 8,  36, 13, 4, 10,
    14, 29, 50, 57, 20, 35, 48, 21, 53, 39, 26, 40, 58};

Referenced by getdGammadPi(), getdGammadTau(), and getGamma().

◆ J0

constexpr std::array<int, 9> MaterialLib::Fluid::DimensionlessGibbsFreeEnergyRegion2::J0 = {0, 1, -5, -4, -3, -2, -1, 2, 3}

staticconstexpr

Definition at line 23 of file DimensionlessGibbsFreeEnergyRegion2.cpp.

23{0, 1, -5, -4, -3, -2, -1, 2, 3};

Referenced by computeGamma0(), and getdGammadTau().

◆ n

constexpr std::array<double, 43> MaterialLib::Fluid::DimensionlessGibbsFreeEnergyRegion2::n

staticconstexpr

Initial value:

= {
    -0.17731742473213e-2,  -0.17834862292358e-1,  -0.45996013696365e-1,
    -0.57581259083432e-1,  -0.50325278727930e-1,  -0.33032641670203e-4,
    -0.18948987516315e-3,  -0.39392777243355e-2,  -0.43797295650573e-1,
    -0.26674547914087e-4,  0.20481737692309e-7,   0.43870667284435e-6,
    -0.32277677238570e-4,  -0.15033924542148e-2,  -0.40668253562649e-1,
    -0.78847309559367e-9,  0.12790717852285e-7,   0.48225372718507e-6,
    0.22922076337661e-5,   -0.16714766451061e-10, -0.21171472321355e-2,
    -0.23895741934104e2,   -0.59059564324270e-17, -0.12621808899101e-5,
    -0.38946842435739e-1,  0.11256211360459e-10,  -0.82311340897998e1,
    0.19809712802088e-7,   0.10406965210174e-18,  -0.10234747095929e-12,
    -0.10018179379511e-8,  -0.80882908646985e-10, 0.10693031879409,
    -0.33662250574171,     0.89185845355421e-24,  0.30629316876232e-12,
    -0.42002467698208e-5,  -0.59056029685639e-25, 0.37826947613457e-5,
    -0.12768608934681e-14, 0.73087610595061e-28,  0.55414715350778e-16,
    -0.94369707241210e-6}

Definition at line 29 of file DimensionlessGibbsFreeEnergyRegion2.cpp.

                                          {
    -0.17731742473213e-2,  -0.17834862292358e-1,  -0.45996013696365e-1,
    -0.57581259083432e-1,  -0.50325278727930e-1,  -0.33032641670203e-4,
    -0.18948987516315e-3,  -0.39392777243355e-2,  -0.43797295650573e-1,
    -0.26674547914087e-4,  0.20481737692309e-7,   0.43870667284435e-6,
    -0.32277677238570e-4,  -0.15033924542148e-2,  -0.40668253562649e-1,
    -0.78847309559367e-9,  0.12790717852285e-7,   0.48225372718507e-6,
    0.22922076337661e-5,   -0.16714766451061e-10, -0.21171472321355e-2,
    -0.23895741934104e2,   -0.59059564324270e-17, -0.12621808899101e-5,
    -0.38946842435739e-1,  0.11256211360459e-10,  -0.82311340897998e1,
    0.19809712802088e-7,   0.10406965210174e-18,  -0.10234747095929e-12,
    -0.10018179379511e-8,  -0.80882908646985e-10, 0.10693031879409,
    -0.33662250574171,     0.89185845355421e-24,  0.30629316876232e-12,
    -0.42002467698208e-5,  -0.59056029685639e-25, 0.37826947613457e-5,
    -0.12768608934681e-14, 0.73087610595061e-28,  0.55414715350778e-16,
    -0.94369707241210e-6};

Referenced by getdGammadPi(), getdGammadTau(), and getGamma().

◆ n0

constexpr std::array<double, 9> MaterialLib::Fluid::DimensionlessGibbsFreeEnergyRegion2::n0

staticconstexpr

Initial value:

= {
    -0.96927686500217e1, 0.10086655968018e2, -0.56087911283020e-2,
    0.71452738081455e-1, -0.40710498223928,  0.14240819171444e1,
    -0.43839511319450e1, -0.28408632460772,  0.21268463753307e-1}

Definition at line 24 of file DimensionlessGibbsFreeEnergyRegion2.cpp.

                                          {
    -0.96927686500217e1, 0.10086655968018e2, -0.56087911283020e-2,
    0.71452738081455e-1, -0.40710498223928,  0.14240819171444e1,
    -0.43839511319450e1, -0.28408632460772,  0.21268463753307e-1};

Referenced by computeGamma0(), and getdGammadTau().

Detailed Description

Functions

Variables

Function Documentation

◆ computeGamma0()

◆ getdGammadPi()

◆ getdGammadTau()

◆ getGamma()

Variable Documentation

◆ I

◆ J

◆ J0

◆ n

◆ n0