Detailed Description

Model for the apparent specific heat capacity including latent heat \(\ell\)

This model is for media with a phase change. This property must be a medium property, it computes the apparent specific heat capacity based on a phase transition spread over a temperature interval:

\[ C_{\mathrm{app}} = \left[C - \varrho_\mathrm{fR} \ell \frac{\partial \phi_\mathrm{f}}{\partial T} \right] \quad\rightarrow\quad c_{\mathrm{app}} = \frac{C_{\mathrm{app}}}{\varrho} \]

with \(\ell\) as specific enthalpy of melting, \(C\) as effective volumetric heat capacity and \(\varrho\) as the effective density of the mixture, \(\varrho_\mathrm{fR}\) as the real density of the frozen phase as well as \(\phi_\mathrm{f}\) as the temperature-dependent frozen liquid volume fraction.

Definition at line 37 of file SpecificHeatCapacityWithLatentHeat.h.

#include <SpecificHeatCapacityWithLatentHeat.h>

Inheritance diagram for MaterialPropertyLib::SpecificHeatCapacityWithLatentHeat:

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Collaboration diagram for MaterialPropertyLib::SpecificHeatCapacityWithLatentHeat:

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Classes
struct	PhaseProperties

Public Member Functions
	SpecificHeatCapacityWithLatentHeat (std::string name, double const l)

void	checkScale () const override

void	setProperties (std::vector< std::unique_ptr< Phase > > const &phases) override
	Default implementation:

double	effectiveVolumetricHeatCapacity (VariableArray const &variable_array, ParameterLib::SpatialPosition const &pos, double const t, double const dt) const

PropertyDataType	value (VariableArray const &variable_array, ParameterLib::SpatialPosition const &pos, double const t, double const dt) const override

PropertyDataType	dValue (VariableArray const &variable_array, Variable const variable, ParameterLib::SpatialPosition const &pos, double const t, double const dt) const override

Public Member Functions inherited from MaterialPropertyLib::Property
virtual	~Property ()

virtual PropertyDataType	initialValue (ParameterLib::SpatialPosition const &pos, double const t) const

virtual PropertyDataType	value () const

virtual PropertyDataType	value (VariableArray const &variable_array, VariableArray const &variable_array_prev, ParameterLib::SpatialPosition const &pos, double const t, double const dt) const

virtual PropertyDataType	dValue (VariableArray const &variable_array, VariableArray const &variable_array_prev, Variable const variable, ParameterLib::SpatialPosition const &pos, double const t, double const dt) const

virtual PropertyDataType	d2Value (VariableArray const &variable_array, Variable const variable1, Variable const variable2, ParameterLib::SpatialPosition const &pos, double const t, double const dt) const
	Default implementation: 2nd derivative of any constant property is zero.

void	setScale (std::variant< Medium , Phase , Component * > scale)

template<typename T >
T	initialValue (ParameterLib::SpatialPosition const &pos, double const t) const

template<typename T >
T	value () const

template<typename T >
T	value (VariableArray const &variable_array, VariableArray const &variable_array_prev, ParameterLib::SpatialPosition const &pos, double const t, double const dt) const

template<typename T >
T	value (VariableArray const &variable_array, ParameterLib::SpatialPosition const &pos, double const t, double const dt) const

template<typename T >
T	dValue (VariableArray const &variable_array, VariableArray const &variable_array_prev, Variable const variable, ParameterLib::SpatialPosition const &pos, double const t, double const dt) const

template<typename T >
T	dValue (VariableArray const &variable_array, Variable const variable, ParameterLib::SpatialPosition const &pos, double const t, double const dt) const

template<typename T >
T	d2Value (VariableArray const &variable_array, Variable const &variable1, Variable const &variable2, ParameterLib::SpatialPosition const &pos, double const t, double const dt) const

Private Attributes
double const	l_

PhaseProperties	densities_
	Pointers to the properties in each phase.

PhaseProperties	spec_heat_capacities_
	Pointers to the properties in each phase.

Additional Inherited Members
Protected Attributes inherited from MaterialPropertyLib::Property
std::string	name_

PropertyDataType	value_
	The single value of a property.

PropertyDataType	dvalue_

std::variant< Medium , Phase , Component * >	scale_

Constructor & Destructor Documentation

◆ SpecificHeatCapacityWithLatentHeat()

MaterialPropertyLib::SpecificHeatCapacityWithLatentHeat::SpecificHeatCapacityWithLatentHeat	(	std::string	name,
		double const	l )

Definition at line 18 of file SpecificHeatCapacityWithLatentHeat.cpp.

    : l_(l)
{
    name_ = std::move(name);
}

References MaterialPropertyLib::name, and MaterialPropertyLib::Property::name_.

Member Function Documentation

◆ checkScale()

void MaterialPropertyLib::SpecificHeatCapacityWithLatentHeat::checkScale ( ) const

overridevirtual

Reimplemented from MaterialPropertyLib::Property.

Definition at line 25 of file SpecificHeatCapacityWithLatentHeat.cpp.

{
    if (!std::holds_alternative<Medium*>(scale_))
    {
        OGS_FATAL(
            "The property 'SpecificHeatCapacityWithLatentHeat' is "
            "implemented on the 'medium' scale only.");
    }
}

References OGS_FATAL, and MaterialPropertyLib::Property::scale_.

◆ dValue()

PropertyDataType MaterialPropertyLib::SpecificHeatCapacityWithLatentHeat::dValue	(	VariableArray const &	variable_array,
		Variable const	variable,
		ParameterLib::SpatialPosition const &	pos,
		double const	t,
		double const	dt ) const

overridevirtual

This virtual method will compute the property derivative value based on the variables that are passed as arguments with the default implementation using empty variables array for the previous time step.

The default implementation of this method only returns the property value derivative without altering it.

Reimplemented from MaterialPropertyLib::Property.

Definition at line 134 of file SpecificHeatCapacityWithLatentHeat.cpp.

{
    (void)variable;
    assert((variable == Variable::temperature) &&
           "SpecificHeatCapacityWithLatentHeat::dvalue is implemented for "
           "derivatives with respect to temperature only.");
 
    auto const& medium = *std::get<Medium*>(scale_);
    auto const& effective_density_property = medium[PropertyType::density];
    auto const& frozen_fraction_property =
        medium[PropertyType::volume_fraction];
 
    auto const rho_eff = effective_density_property.template value<double>(
        variable_array, pos, t, dt);
    auto const rho_li =
        std::get<double>(densities_.liquid->value(variable_array, pos, t, dt));
    auto const rho_fr =
        std::get<double>(densities_.frozen->value(variable_array, pos, t, dt));
    auto const c_li = std::get<double>(
        spec_heat_capacities_.liquid->value(variable_array, pos, t, dt));
    auto const c_fr = std::get<double>(
        spec_heat_capacities_.frozen->value(variable_array, pos, t, dt));
    auto const drho_dT = effective_density_property.template dValue<double>(
        variable_array, Variable::temperature, pos, t, dt);
    auto const dphi_fr_dT = frozen_fraction_property.template dValue<double>(
        variable_array, Variable::temperature, pos, t, dt);
    auto const d2phi_fr_dT2 = frozen_fraction_property.template d2Value<double>(
        variable_array, Variable::temperature, Variable::temperature, pos, t,
        dt);
    auto const Cvol =
        effectiveVolumetricHeatCapacity(variable_array, pos, t, dt);
    // TODO: avoid duplicate code, call value()?
    auto const C_app = (Cvol - l_ * rho_eff * dphi_fr_dT) / rho_eff;
    auto const dCvol_dphi_fr = rho_fr * c_fr - rho_li * c_li;
    auto const dCvol_app_dT =
        dCvol_dphi_fr * dphi_fr_dT - l_ * rho_eff * d2phi_fr_dT2;
 
    return (dCvol_app_dT - drho_dT / rho_eff * C_app) / rho_eff;
}

References densities_, MaterialPropertyLib::density, effectiveVolumetricHeatCapacity(), MaterialPropertyLib::SpecificHeatCapacityWithLatentHeat::PhaseProperties::frozen, l_, MaterialPropertyLib::SpecificHeatCapacityWithLatentHeat::PhaseProperties::liquid, MaterialPropertyLib::Property::scale_, spec_heat_capacities_, MaterialPropertyLib::temperature, MaterialPropertyLib::Property::value(), and MaterialPropertyLib::volume_fraction.

◆ effectiveVolumetricHeatCapacity()

double MaterialPropertyLib::SpecificHeatCapacityWithLatentHeat::effectiveVolumetricHeatCapacity	(	VariableArray const &	variable_array,
		ParameterLib::SpatialPosition const &	pos,
		double const	t,
		double const	dt ) const

Definition at line 72 of file SpecificHeatCapacityWithLatentHeat.cpp.

{
    auto const& medium = *std::get<Medium*>(scale_);
    auto const& porosity_property = medium[PropertyType::porosity];
    auto const& frozen_fraction_property =
        medium[PropertyType::volume_fraction];
 
    auto const phi =
        std::get<double>(porosity_property.value(variable_array, pos, t, dt));
    auto const phi_fr = std::get<double>(
        frozen_fraction_property.value(variable_array, pos, t, dt));
    auto const phi_li = phi - phi_fr;
    auto const phi_po = 1 - phi;
 
    auto const rho_li =
        std::get<double>(densities_.liquid->value(variable_array, pos, t, dt));
    auto const rho_fr =
        std::get<double>(densities_.frozen->value(variable_array, pos, t, dt));
    auto const rho_po =
        std::get<double>(densities_.porous->value(variable_array, pos, t, dt));
 
    auto const c_li = std::get<double>(
        spec_heat_capacities_.liquid->value(variable_array, pos, t, dt));
    auto const c_fr = std::get<double>(
        spec_heat_capacities_.frozen->value(variable_array, pos, t, dt));
    auto const c_po = std::get<double>(
        spec_heat_capacities_.porous->value(variable_array, pos, t, dt));
 
    // rule of mixtures for resulting volumetric heat capacity
    // (mass fraction average of specific heat capacities!)
    return phi_li * rho_li * c_li + phi_fr * rho_fr * c_fr +
           phi_po * rho_po * c_po;
}

References densities_, MaterialPropertyLib::SpecificHeatCapacityWithLatentHeat::PhaseProperties::frozen, MaterialPropertyLib::SpecificHeatCapacityWithLatentHeat::PhaseProperties::liquid, MaterialPropertyLib::porosity, MaterialPropertyLib::SpecificHeatCapacityWithLatentHeat::PhaseProperties::porous, MaterialPropertyLib::Property::scale_, spec_heat_capacities_, MaterialPropertyLib::Property::value(), and MaterialPropertyLib::volume_fraction.

Referenced by dValue(), and value().

◆ setProperties()

void MaterialPropertyLib::SpecificHeatCapacityWithLatentHeat::setProperties ( std::vector< std::unique_ptr< Phase > > const & phases )

overridevirtual

Default implementation:

This virtual method will collect the properties of the phases in order to access them from the medium property level.

Reimplemented from MaterialPropertyLib::Property.

Definition at line 35 of file SpecificHeatCapacityWithLatentHeat.cpp.

{
    // run over phases, identify them and get properties
    for (auto const& phase : phases)
    {
        if (phase == nullptr)
        {
            OGS_FATAL(
                "One of the required phases (AqueousLiquid/FrozenLiquid/Solid) "
                "does not exist!");
        }
        std::string const& phase_name = phase->name;
 
        auto const& density_property =
            phase->property(MaterialPropertyLib::PropertyType::density);
        auto const& specific_heat_capacity_property = phase->property(
            MaterialPropertyLib::PropertyType::specific_heat_capacity);
 
        if (phase_name == "AqueousLiquid")
        {
            densities_.liquid = &density_property;
            spec_heat_capacities_.liquid = &specific_heat_capacity_property;
        }
        else if (phase_name == "FrozenLiquid")
        {
            densities_.frozen = &density_property;
            spec_heat_capacities_.frozen = &specific_heat_capacity_property;
        }
        else if (phase_name == "Solid")
        {
            densities_.porous = &density_property;
            spec_heat_capacities_.porous = &specific_heat_capacity_property;
        }
    }
}

References densities_, MaterialPropertyLib::density, MaterialPropertyLib::SpecificHeatCapacityWithLatentHeat::PhaseProperties::frozen, MaterialPropertyLib::SpecificHeatCapacityWithLatentHeat::PhaseProperties::liquid, OGS_FATAL, MaterialPropertyLib::SpecificHeatCapacityWithLatentHeat::PhaseProperties::porous, spec_heat_capacities_, and MaterialPropertyLib::specific_heat_capacity.

◆ value()

PropertyDataType MaterialPropertyLib::SpecificHeatCapacityWithLatentHeat::value	(	VariableArray const &	variable_array,
		ParameterLib::SpatialPosition const &	pos,
		double const	t,
		double const	dt ) const

overridevirtual

This virtual method will compute the property value based on the variables that are passed as arguments with the default implementation using empty variables array for the previous time step.

Reimplemented from MaterialPropertyLib::Property.

Definition at line 109 of file SpecificHeatCapacityWithLatentHeat.cpp.

{
    auto const& medium = *std::get<Medium*>(scale_);
    auto const& effective_density_property = medium[PropertyType::density];
    auto const& frozen_fraction_property =
        medium[PropertyType::volume_fraction];
 
    auto const rho_eff = effective_density_property.template value<double>(
        variable_array, pos, t, dt);
    auto const rho_fr =
        std::get<double>(densities_.frozen->value(variable_array, pos, t, dt));
    auto const dphi_fr_dT = frozen_fraction_property.template dValue<double>(
        variable_array, Variable::temperature, pos, t, dt);
 
    auto const Cvol =
        effectiveVolumetricHeatCapacity(variable_array, pos, t, dt);
    auto const Lvol = l_ * rho_fr;
    auto const Cvol_app = Cvol - Lvol * dphi_fr_dT;
    // divide volumetric quantity by density in order to obtain specific value
    return Cvol_app / rho_eff;
}