ShomatePoly.h

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/**
 *  @file ShomatePoly.h
 *  Header for a single-species standard state object derived
 *  from @link Cantera::SpeciesThermoInterpType SpeciesThermoInterpType@endlink  based
 *  on the Shomate temperature polynomial form applied to one temperature region
 *  (see @ref spthermo and class @link Cantera::ShomatePoly ShomatePoly@endlink and
 *   @link Cantera::ShomatePoly2 ShomatePoly2@endlink).
 *    Shomate polynomial expressions.
 */
 
// This file is part of Cantera. See License.txt in the top-level directory or
// at https://cantera.org/license.txt for license and copyright information.
 
#ifndef CT_SHOMATEPOLY1_H
#define CT_SHOMATEPOLY1_H
 
#include "cantera/thermo/SpeciesThermoInterpType.h"
#include "cantera/base/AnyMap.h"
 
namespace Cantera
{
//! The Shomate polynomial parameterization for one temperature range for one
//! species
/*!
 * Seven coefficients @f$ (A,\dots,G) @f$ are used to represent
 * @f$ c_p^0(T) @f$, @f$ h^0(T) @f$, and @f$ s^0(T) @f$ as
 * polynomials in the temperature, @f$ T @f$ :
 *
 * @f[
 * \tilde{c}_p^0(T) = A + B t + C t^2 + D t^3 + \frac{E}{t^2}
 * @f]
 * @f[
 * \tilde{h}^0(T) = A t + \frac{B t^2}{2} + \frac{C t^3}{3}
 *                + \frac{D t^4}{4}  - \frac{E}{t} + F.
 * @f]
 * @f[
 * \tilde{s}^0(T) = A\ln t + B t + \frac{C t^2}{2}
 *                + \frac{D t^3}{3} - \frac{E}{2t^2} + G.
 * @f]
 *
 * In the above expressions, the thermodynamic polynomials are expressed in
 * dimensional units, but the temperature,@f$ t @f$, is divided by 1000. The
 * following dimensions are assumed in the above expressions:
 *
 *    - @f$ \tilde{c}_p^0(T) @f$ = Heat Capacity (J/gmol*K)
 *    - @f$ \tilde{h}^0(T) @f$ = standard Enthalpy (kJ/gmol)
 *    - @f$ \tilde{s}^0(T) @f$= standard Entropy (J/gmol*K)
 *    - @f$ t @f$= temperature (K) / 1000.
 *
 * For more information about Shomate polynomials, see the NIST website,
 * http://webbook.nist.gov/
 *
 * Before being used within Cantera, the dimensions must be adjusted to those
 * used by %Cantera (for example, Joules and kmol).
 *
 * @ingroup spthermo
 */
class ShomatePoly : public SpeciesThermoInterpType
{
public:
    ShomatePoly() : m_coeff(7), m_coeff5_orig(0.0) {}
 
    //! Constructor with all input data
    /*!
     * @param tlow         Minimum temperature
     * @param thigh        Maximum temperature
     * @param pref         reference pressure (Pa).
     * @param coeffs       Vector of coefficients, [A,B,C,D,E,F,G], used to set
     *                     the parameters for the species standard state.
     *
     *  See the class description for the polynomial representation of the
     *  thermo functions in terms of @f$ A, \dots, G @f$.
     */
    ShomatePoly(double tlow, double thigh, double pref, span<const double> coeffs) :
        SpeciesThermoInterpType(tlow, thigh, pref),
        m_coeff(7)
    {
        for (size_t i = 0; i < 7; i++) {
            m_coeff[i] = coeffs[i] * 1000 / GasConstant;
        }
        m_coeff5_orig = m_coeff[5];
    }
 
    //! Set array of 7 polynomial coefficients. Input values are assumed to be
    //! on a kJ/mol basis.
    void setParameters(const span<const double> coeffs) {
        if (coeffs.size() != 7) {
            throw CanteraError("ShomatePoly::setParameters", "Array must "
                "contain 7 coefficients, but {} were given.", coeffs.size());
        }
        for (size_t i = 0; i < 7; i++) {
            m_coeff[i] = coeffs[i] * 1000 / GasConstant;
        }
        m_coeff5_orig = m_coeff[5];
    }
 
    int reportType() const override {
        return SHOMATE;
    }
 
    size_t temperaturePolySize() const override { return 6; }
 
    void updateTemperaturePoly(double T, span<double> T_poly) const override {
        double tt = 1.e-3*T;
        T_poly[0] = tt;
        T_poly[1] = tt * tt;
        T_poly[2] = T_poly[1] * tt;
        T_poly[3] = 1.0/T_poly[1];
        T_poly[4] = std::log(tt);
        T_poly[5] = 1.0/tt;
    }
 
    /**
     * @copydoc SpeciesThermoInterpType::updateProperties
     *
     * Form of the temperature polynomial:
     *   - `t` is T/1000.
     *   - `t[0] = t`
     *   - `t[1] = t*t`
     *   - `t[2] = t[1]*t`
     *   - `t[3] = 1.0/t[1]`
     *   - `t[4] = log(t)`
     *   - `t[5] = 1.0/t;
     */
    void updateProperties(span<const double> tt, double& cp_R, double& h_RT,
                          double& s_R) const override {
        double A = m_coeff[0];
        double Bt = m_coeff[1]*tt[0];
        double Ct2 = m_coeff[2]*tt[1];
        double Dt3 = m_coeff[3]*tt[2];
        double Etm2 = m_coeff[4]*tt[3];
        double Ftm1 = m_coeff[5]*tt[5];
        double G = m_coeff[6];
 
        cp_R = A + Bt + Ct2 + Dt3 + Etm2;
        h_RT = A + 0.5*Bt + 1.0/3.0*Ct2 + 0.25*Dt3 - Etm2 + Ftm1;
        s_R = A*tt[4] + Bt + 0.5*Ct2 + 1.0/3.0*Dt3 - 0.5*Etm2 + G;
    }
 
    void updatePropertiesTemp(const double temp, double& cp_R,
                              double& h_RT, double& s_R) const override {
        double tPoly[6];
        updateTemperaturePoly(temp, tPoly);
        updateProperties(tPoly, cp_R, h_RT, s_R);
    }
 
    void reportParameters(size_t& n, int& type, double& tlow, double& thigh,
                          double& pref, span<double> coeffs) const override {
        n = 0;
        type = SHOMATE;
        tlow = m_lowT;
        thigh = m_highT;
        pref = m_Pref;
        for (int i = 0; i < 7; i++) {
            coeffs[i] = m_coeff[i] * GasConstant / 1000;
        }
    }
 
    void getParameters(AnyMap& thermo) const override {
        // ShomatePoly is only used as an embedded model within ShomatePoly2, so
        // all that needs to be added here are the polynomial coefficients
        vector<double> dimensioned_coeffs(m_coeff.size());
        for (size_t i = 0; i < m_coeff.size(); i++) {
            dimensioned_coeffs[i] = m_coeff[i] * GasConstant / 1000;
        }
        thermo["data"].asVector<vector<double>>().push_back(dimensioned_coeffs);
    }
 
    double reportHf298() const override {
        double cp_R, h_RT, s_R;
        updatePropertiesTemp(298.15, cp_R, h_RT, s_R);
        return h_RT * GasConstant * 298.15;
    }
 
    void modifyOneHf298(const size_t k, const double Hf298New) override {
        double hnow = reportHf298();
        double delH = Hf298New - hnow;
        m_coeff[5] += delH / (1e3 * GasConstant);
    }
 
    void resetHf298() override {
        m_coeff[5] = m_coeff5_orig;
    }
 
protected:
    //! Array of coefficients
    vector<double> m_coeff;
    double m_coeff5_orig;
};
 
//! The Shomate polynomial parameterization for two temperature ranges for one
//! species
/*!
 * Seven coefficients @f$ (A,\dots,G) @f$ are used to represent
 * @f$ c_p^0(T) @f$, @f$ h^0(T) @f$, and @f$ s^0(T) @f$ as
 * polynomials in the temperature, @f$ T @f$, in one temperature region:
 *
 * @f[
 * \tilde{c}_p^0(T) = A + B t + C t^2 + D t^3 + \frac{E}{t^2}
 * @f]
 * @f[
 * \tilde{h}^0(T) = A t + \frac{B t^2}{2} + \frac{C t^3}{3}
 *                + \frac{D t^4}{4}  - \frac{E}{t}  + F.
 * @f]
 * @f[
 * \tilde{s}^0(T) = A\ln t + B t + \frac{C t^2}{2}
 *                + \frac{D t^3}{3} - \frac{E}{2t^2}  + G.
 * @f]
 *
 * In the above expressions, the thermodynamic polynomials are expressed
 * in dimensional units, but the temperature,@f$ t @f$, is divided by 1000. The
 * following dimensions are assumed in the above expressions:
 *
 *    - @f$ \tilde{c}_p^0(T) @f$ = Heat Capacity (J/gmol*K)
 *    - @f$ \tilde{h}^0(T) @f$ = standard Enthalpy (kJ/gmol)
 *    - @f$ \tilde{s}^0(T) @f$= standard Entropy (J/gmol*K)
 *    - @f$ t @f$= temperature (K) / 1000.
 *
 * For more information about Shomate polynomials, see the NIST website,
 * http://webbook.nist.gov/
 *
 * Before being used within Cantera, the dimensions must be adjusted to those
 * used by %Cantera (for example, Joules and kmol).
 *
 * This function uses two temperature regions, each with a Shomate polynomial
 * representation to represent the thermo functions. There are 15 coefficients,
 * therefore, in this representation. The first coefficient is the midrange
 * temperature.
 *
 * @ingroup spthermo
 */
class ShomatePoly2 : public SpeciesThermoInterpType
{
public:
    ShomatePoly2() : m_midT(0.0) {}
 
    //! Constructor with all input data
    /*!
     * @param tlow    Minimum temperature
     * @param thigh   Maximum temperature
     * @param pref    reference pressure (Pa).
     * @param coeffs  Vector of coefficients used to set the parameters for the
     *                standard state. [Tmid, 7 low-T coeffs, 7 high-T coeffs]
     */
    ShomatePoly2(double tlow, double thigh, double pref, span<const double> coeffs) :
        SpeciesThermoInterpType(tlow, thigh, pref),
        m_midT(coeffs[0]),
        msp_low(tlow, coeffs[0], pref, coeffs.subspan(1, 7)),
        msp_high(coeffs[0], thigh, pref, coeffs.subspan(8, 7))
    {
    }
 
    void setMinTemp(double Tmin) override {
        SpeciesThermoInterpType::setMinTemp(Tmin);
        msp_low.setMinTemp(Tmin);
    }
 
    void setMaxTemp(double Tmax) override {
        SpeciesThermoInterpType::setMaxTemp(Tmax);
        msp_high.setMaxTemp(Tmax);
    }
 
    void setRefPressure(double Pref) override {
        SpeciesThermoInterpType::setRefPressure(Pref);
        msp_low.setRefPressure(Pref);
        msp_high.setRefPressure(Pref);
    }
 
    /**
     * @param Tmid  Temperature [K] at the boundary between the low and high
     *              temperature polynomials
     * @param low   Vector of 7 coefficients for the low temperature polynomial
     * @param high  Vector of 7 coefficients for the high temperature polynomial
     */
    void setParameters(double Tmid, span<const double> low, span<const double> high) {
        m_midT = Tmid;
        msp_low.setMaxTemp(Tmid);
        msp_high.setMinTemp(Tmid);
        msp_low.setParameters(low);
        msp_high.setParameters(high);
    }
 
    int reportType() const override {
        return SHOMATE2;
    }
 
    size_t temperaturePolySize() const override{ return 7; }
 
    void updateTemperaturePoly(double T, span<double> T_poly) const override {
        msp_low.updateTemperaturePoly(T, T_poly);
    }
 
    //! @copydoc ShomatePoly::updateProperties
    void updateProperties(span<const double> tt, double& cp_R, double& h_RT,
                          double& s_R) const override {
        double T = 1000 * tt[0];
        if (T <= m_midT) {
            msp_low.updateProperties(tt, cp_R, h_RT, s_R);
        } else {
            msp_high.updateProperties(tt, cp_R, h_RT, s_R);
        }
    }
 
    void updatePropertiesTemp(const double temp, double& cp_R,
                              double& h_RT, double& s_R) const override {
        if (temp <= m_midT) {
            msp_low.updatePropertiesTemp(temp, cp_R, h_RT, s_R);
        } else {
            msp_high.updatePropertiesTemp(temp, cp_R, h_RT, s_R);
        }
    }
 
    size_t nCoeffs() const override { return 15; }
 
    void reportParameters(size_t& n, int& type, double& tlow, double& thigh,
                          double& pref, span<double> coeffs) const override {
        msp_low.reportParameters(n, type, tlow, coeffs[0], pref, coeffs.subspan(1));
        msp_high.reportParameters(n, type, coeffs[0], thigh, pref, coeffs.subspan(8));
        type = SHOMATE2;
    }
 
    void getParameters(AnyMap& thermo) const override {
        SpeciesThermoInterpType::getParameters(thermo);
        thermo["model"] = "Shomate";
        vector<double> Tranges {m_lowT, m_midT, m_highT};
        thermo["temperature-ranges"].setQuantity(Tranges, "K");
        thermo["data"] = vector<vector<double>>();
        msp_low.getParameters(thermo);
        msp_high.getParameters(thermo);
    }
 
    double reportHf298() const override {
        if (298.15 <= m_midT) {
            return msp_low.reportHf298();
        } else {
            return msp_high.reportHf298();
        }
    }
 
    void modifyOneHf298(const size_t k, const double Hf298New) override {
        double h298now = reportHf298();
        double delH = Hf298New - h298now;
        double h = msp_low.reportHf298();
        double hnew = h + delH;
        msp_low.modifyOneHf298(k, hnew);
        h = msp_high.reportHf298();
        hnew = h + delH;
        msp_high.modifyOneHf298(k, hnew);
    }
 
    void resetHf298() override {
        msp_low.resetHf298();
        msp_high.resetHf298();
    }
 
protected:
    //! Midrange temperature (kelvin)
    double m_midT;
    //! Shomate polynomial for the low temperature region.
    ShomatePoly msp_low;
    //! Shomate polynomial for the high temperature region.
    ShomatePoly msp_high;
};
}
 
#endif