version 3.9-dev
Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 > Class Template Reference

A fluid system for two-phase models assuming immiscibility and thermodynamic equilibrium. More...

#include <dumux/material/fluidsystems/2pimmiscible.hh>

Inheritance diagram for Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >:

Description

template<class Scalar, class Fluid0, class Fluid1>
class Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >

The fluid phases are completely specified by means of their constituting components. The fluids can be defined individually via FluidSystem::OnePLiquid<Scalar, Component> and FluidSystem::OnePGas<Scalar, Component>. These fluids consist of one component.

Template Parameters
Scalarthe scalar type
Fluid0a one-phase fluid system (use FluidSystem::OnePLiquid<Scalar, Component> / FluidSystem::OnePGas<Scalar, Component>)
Fluid1a one-phase fluid system (use FluidSystem::OnePLiquid<Scalar, Component> / FluidSystem::OnePGas<Scalar, Component>)

Public Types

using Scalar = Scalar
 export the scalar type More...
 
using ParameterCache = NullParameterCache
 The type of parameter cache objects. More...
 

Static Public Member Functions

static std::string phaseName (int phaseIdx)
 Return the human readable name of a fluid phase. More...
 
static constexpr bool isMiscible ()
 Returns whether the fluids are miscible. More...
 
static constexpr bool isGas (int phaseIdx)
 Return whether a phase is gaseous. More...
 
static bool isIdealMixture (int phaseIdx)
 Returns true if and only if a fluid phase is assumed to be an ideal mixture. More...
 
static constexpr bool isIdealGas (int phaseIdx)
 Returns true if and only if a fluid phase is assumed to be an ideal gas. More...
 
static constexpr bool isCompressible (int phaseIdx)
 Returns true if and only if a fluid phase is assumed to be compressible. More...
 
static constexpr bool viscosityIsConstant (int phaseIdx)
 Returns true if the liquid phase viscostiy is constant. More...
 
static bool isIdealFluid1 (int phaseIdx)
 Returns true if and only if a fluid phase is assumed to be an ideal gas. More...
 
static std::string componentName (int compIdx)
 Return the human readable name of a component. More...
 
static Scalar molarMass (int compIdx)
 Return the molar mass of a component in \(\mathrm{[kg/mol]}\). More...
 
static Scalar criticalTemperature (int compIdx)
 Critical temperature of a component \(\mathrm{[K]}\). More...
 
static Scalar criticalPressure (int compIdx)
 Critical pressure of a component \(\mathrm{[Pa]}\). More...
 
static Scalar acentricFactor (int compIdx)
 The acentric factor of a component \(\mathrm{[-]}\). More...
 
static void init ()
 Initialize the fluid system's static parameters. More...
 
static void init (Scalar tempMin, Scalar tempMax, std::size_t nTemp, Scalar pressMin, Scalar pressMax, std::size_t nPress)
 Initialize the fluid system's static parameters using problem specific temperature and pressure ranges. More...
 
template<class FluidState >
static Scalar density (const FluidState &fluidState, int phaseIdx)
 Calculate the density \(\mathrm{[kg/m^3]}\) of a fluid phase. More...
 
template<class FluidState >
static Scalar molarDensity (const FluidState &fluidState, int phaseIdx)
 Calculate the molar density \(\mathrm{[mol/m^3]}\) of a fluid phase. More...
 
template<class FluidState >
static Scalar viscosity (const FluidState &fluidState, int phaseIdx)
 Calculate the dynamic viscosity of a fluid phase \(\mathrm{[Pa*s]}\). More...
 
template<class FluidState >
static Scalar fugacityCoefficient (const FluidState &fluidState, int phaseIdx, int compIdx)
 Calculate the fugacity coefficient \(\mathrm{[Pa]}\) of an individual component in a fluid phase. More...
 
template<class FluidState >
static Scalar diffusionCoefficient (const FluidState &fluidState, int phaseIdx, int compIdx)
 Calculate the binary molecular diffusion coefficient for a component in a fluid phase \(\mathrm{[mol^2 * s / (kg*m^3)]}\). More...
 
template<class FluidState >
static Scalar binaryDiffusionCoefficient (const FluidState &fluidState, int phaseIdx, int compIIdx, int compJIdx)
 Given a phase's composition, temperature and pressure, return the binary diffusion coefficient \(\mathrm{[m^2/s]}\) for components \(\mathrm{i}\) and \(\mathrm{j}\) in this phase. More...
 
template<class FluidState >
static Scalar enthalpy (const FluidState &fluidState, int phaseIdx)
 Given a phase's composition, temperature, pressure and density, calculate its specific enthalpy \(\mathrm{[J/kg]}\). More...
 
template<class FluidState >
static Scalar thermalConductivity (const FluidState &fluidState, int phaseIdx)
 Thermal conductivity \(\lambda_\alpha \) of a fluid phase \(\mathrm{[W/(m K)]}\). More...
 
template<class FluidState >
static Scalar heatCapacity (const FluidState &fluidState, int phaseIdx)
 Specific isobaric heat capacity \(c_{p,\alpha}\) of a fluid phase \(\mathrm{[J/(kg*K)]}\). More...
 
static constexpr bool isTracerFluidSystem ()
 Some properties of the fluid system. More...
 
static constexpr int getMainComponent (int phaseIdx)
 Get the main component of a given phase if possible. More...
 
static Scalar density (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx)
 Calculate the density \(\mathrm{[kg/m^3]}\) of a fluid phase. More...
 
static Scalar molarDensity (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx)
 Calculate the molar density \(\mathrm{[mol/m^3]}\) of a fluid phase. More...
 
static Scalar fugacityCoefficient (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx, int compIdx)
 Calculate the fugacity coefficient \(\mathrm{[Pa]}\) of an individual component in a fluid phase. More...
 
static Scalar viscosity (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx)
 Calculate the dynamic viscosity of a fluid phase \(\mathrm{[Pa*s]}\). More...
 
static Scalar diffusionCoefficient (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx, int compIdx)
 Calculate the binary molecular diffusion coefficient for a component in a fluid phase \(\mathrm{[mol^2 * s / (kg*m^3)]}\). More...
 
static Scalar binaryDiffusionCoefficient (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx, int compIIdx, int compJIdx)
 Given a phase's composition, temperature and pressure, return the binary diffusion coefficient \(\mathrm{[m^2/s]}\) for components \(\mathrm{i}\) and \(\mathrm{j}\) in this phase. More...
 
static Scalar enthalpy (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx)
 Given a phase's composition, temperature, pressure and density, calculate its specific enthalpy \(\mathrm{[J/kg]}\). More...
 
static Scalar thermalConductivity (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx)
 Thermal conductivity \(\lambda_\alpha \) of a fluid phase \(\mathrm{[W/(m K)]}\). More...
 
static Scalar heatCapacity (const FluidState &fluidState, const ParameterCache &paramCache, int phaseIdx)
 Specific isobaric heat capacity \(c_{p,\alpha}\) of a fluid phase \(\mathrm{[J/(kg*K)]}\). More...
 

Static Public Attributes

static constexpr int numPhases = 2
 Number of phases in the fluid system. More...
 
static constexpr int numComponents = 2
 Number of components in the fluid system. More...
 
static constexpr int phase0Idx = 0
 index of the first phase More...
 
static constexpr int phase1Idx = 1
 index of the second phase More...
 
static constexpr int comp0Idx = 0
 index of the first component More...
 
static constexpr int comp1Idx = 1
 index of the second component More...
 

Member Typedef Documentation

◆ ParameterCache

using Dumux::FluidSystems::Base< Scalar , TwoPImmiscible< Scalar, Fluid0, Fluid1 > >::ParameterCache = NullParameterCache
inherited

◆ Scalar

using Dumux::FluidSystems::Base< Scalar , TwoPImmiscible< Scalar, Fluid0, Fluid1 > >::Scalar = Scalar
inherited

Member Function Documentation

◆ acentricFactor()

template<class Scalar , class Fluid0 , class Fluid1 >
static Scalar Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::acentricFactor ( int  compIdx)
inlinestatic
Parameters
compIdxindex of the component

◆ binaryDiffusionCoefficient() [1/2]

static Scalar Dumux::FluidSystems::Base< Scalar , TwoPImmiscible< Scalar, Fluid0, Fluid1 > >::binaryDiffusionCoefficient ( const FluidState &  fluidState,
const ParameterCache paramCache,
int  phaseIdx,
int  compIIdx,
int  compJIdx 
)
inlinestaticinherited
Parameters
fluidStateThe fluid state
paramCachemutable parameters
phaseIdxIndex of the fluid phase
compIIdxIndex of the component i
compJIdxIndex of the component j

◆ binaryDiffusionCoefficient() [2/2]

template<class Scalar , class Fluid0 , class Fluid1 >
template<class FluidState >
static Scalar Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::binaryDiffusionCoefficient ( const FluidState &  fluidState,
int  phaseIdx,
int  compIIdx,
int  compJIdx 
)
inlinestatic

◆ componentName()

template<class Scalar , class Fluid0 , class Fluid1 >
static std::string Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::componentName ( int  compIdx)
inlinestatic
Parameters
compIdxindex of the component

◆ criticalPressure()

template<class Scalar , class Fluid0 , class Fluid1 >
static Scalar Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::criticalPressure ( int  compIdx)
inlinestatic
Parameters
compIdxindex of the component

◆ criticalTemperature()

template<class Scalar , class Fluid0 , class Fluid1 >
static Scalar Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::criticalTemperature ( int  compIdx)
inlinestatic
Parameters
compIdxindex of the component

◆ density() [1/2]

static Scalar Dumux::FluidSystems::Base< Scalar , TwoPImmiscible< Scalar, Fluid0, Fluid1 > >::density ( const FluidState &  fluidState,
const ParameterCache paramCache,
int  phaseIdx 
)
inlinestaticinherited
Parameters
fluidStateThe fluid state
paramCachemutable parameters
phaseIdxIndex of the fluid phase

◆ density() [2/2]

template<class Scalar , class Fluid0 , class Fluid1 >
template<class FluidState >
static Scalar Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::density ( const FluidState &  fluidState,
int  phaseIdx 
)
inlinestatic

◆ diffusionCoefficient() [1/2]

static Scalar Dumux::FluidSystems::Base< Scalar , TwoPImmiscible< Scalar, Fluid0, Fluid1 > >::diffusionCoefficient ( const FluidState &  fluidState,
const ParameterCache paramCache,
int  phaseIdx,
int  compIdx 
)
inlinestaticinherited

Molecular diffusion of a component \(\mathrm{\kappa}\) is caused by a gradient of the chemical potential and follows the law

\[ J = - D \nabla \mu_\kappa \]

where \(\mathrm{\mu_\kappa}\) is the component's chemical potential, \(\mathrm{D}\) is the diffusion coefficient and \(\mathrm{J}\) is the diffusive flux. \(\mathrm{\mu_\kappa}\) is connected to the component's fugacity \(\mathrm{f_\kappa}\) by the relation

\[ \mu_\kappa = R T_\alpha \mathrm{ln} \frac{f_\kappa}{p_\alpha} \]

where \(\mathrm{p_\alpha}\) and \(\mathrm{T_\alpha}\) are the fluid phase' pressure and temperature.

Parameters
fluidStateThe fluid state
paramCachemutable parameters
phaseIdxIndex of the fluid phase
compIdxIndex of the component

◆ diffusionCoefficient() [2/2]

template<class Scalar , class Fluid0 , class Fluid1 >
template<class FluidState >
static Scalar Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::diffusionCoefficient ( const FluidState &  fluidState,
int  phaseIdx,
int  compIdx 
)
inlinestatic

◆ enthalpy() [1/2]

static Scalar Dumux::FluidSystems::Base< Scalar , TwoPImmiscible< Scalar, Fluid0, Fluid1 > >::enthalpy ( const FluidState &  fluidState,
const ParameterCache paramCache,
int  phaseIdx 
)
inlinestaticinherited
Parameters
fluidStateThe fluid state
paramCachemutable parameters
phaseIdxIndex of the fluid phase

◆ enthalpy() [2/2]

template<class Scalar , class Fluid0 , class Fluid1 >
template<class FluidState >
static Scalar Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::enthalpy ( const FluidState &  fluidState,
int  phaseIdx 
)
inlinestatic

◆ fugacityCoefficient() [1/2]

static Scalar Dumux::FluidSystems::Base< Scalar , TwoPImmiscible< Scalar, Fluid0, Fluid1 > >::fugacityCoefficient ( const FluidState &  fluidState,
const ParameterCache paramCache,
int  phaseIdx,
int  compIdx 
)
inlinestaticinherited

The fugacity coefficient \(\mathrm{\phi^\kappa_\alpha}\) is connected to the fugacity \(\mathrm{f^\kappa_\alpha}\) and the component's mole fraction \(\mathrm{x^\kappa_\alpha}\) by means of the relation

\[ f^\kappa_\alpha = \phi^\kappa_\alpha\;x^\kappa_\alpha\;p_\alpha \]

Parameters
fluidStateThe fluid state
paramCachemutable parameters
phaseIdxIndex of the fluid phase
compIdxIndex of the component

◆ fugacityCoefficient() [2/2]

template<class Scalar , class Fluid0 , class Fluid1 >
template<class FluidState >
static Scalar Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::fugacityCoefficient ( const FluidState &  fluidState,
int  phaseIdx,
int  compIdx 
)
inlinestatic

◆ getMainComponent()

static constexpr int Dumux::FluidSystems::Base< Scalar , TwoPImmiscible< Scalar, Fluid0, Fluid1 > >::getMainComponent ( int  phaseIdx)
inlinestaticconstexprinherited
Parameters
phaseIdxThe index of the fluid phase to consider
Note
This only makes sense if this is not a tracer fluid system (then the bulk component is not balanced)

◆ heatCapacity() [1/2]

static Scalar Dumux::FluidSystems::Base< Scalar , TwoPImmiscible< Scalar, Fluid0, Fluid1 > >::heatCapacity ( const FluidState &  fluidState,
const ParameterCache paramCache,
int  phaseIdx 
)
inlinestaticinherited

Given a fluid state, an up-to-date parameter cache and a phase index, this method computes the isobaric heat capacity \(c_{p,\alpha}\) of the fluid phase. The isobaric heat capacity is defined as the partial derivative of the specific enthalpy \(h_\alpha\) to the fluid pressure \(p_\alpha\):

\( c_{p,\alpha} = \frac{\partial h_\alpha}{\partial p_\alpha} \)

Parameters
fluidStaterepresents all relevant thermodynamic quantities of a fluid system
paramCachemutable parameters
phaseIdxIndex of the fluid phase

◆ heatCapacity() [2/2]

template<class Scalar , class Fluid0 , class Fluid1 >
template<class FluidState >
static Scalar Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::heatCapacity ( const FluidState &  fluidState,
int  phaseIdx 
)
inlinestatic

◆ init() [1/2]

template<class Scalar , class Fluid0 , class Fluid1 >
static void Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::init ( )
inlinestatic

◆ init() [2/2]

template<class Scalar , class Fluid0 , class Fluid1 >
static void Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::init ( Scalar  tempMin,
Scalar  tempMax,
std::size_t  nTemp,
Scalar  pressMin,
Scalar  pressMax,
std::size_t  nPress 
)
inlinestatic
Parameters
tempMinThe minimum temperature used for tabulation of water \(\mathrm{[K]}\)
tempMaxThe maximum temperature used for tabulation of water \(\mathrm{[K]}\)
nTempThe number of ticks on the temperature axis of the table of water
pressMinThe minimum pressure used for tabulation of water \(\mathrm{[Pa]}\)
pressMaxThe maximum pressure used for tabulation of water \(\mathrm{[Pa]}\)
nPressThe number of ticks on the pressure axis of the table of water

◆ isCompressible()

template<class Scalar , class Fluid0 , class Fluid1 >
static constexpr bool Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::isCompressible ( int  phaseIdx)
inlinestaticconstexpr

Compressible means. that the partial derivative of the density to the fluid pressure is always larger than zero.

Parameters
phaseIdxThe index of the fluid phase to consider

◆ isGas()

template<class Scalar , class Fluid0 , class Fluid1 >
static constexpr bool Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::isGas ( int  phaseIdx)
inlinestaticconstexpr
Parameters
phaseIdxThe index of the fluid phase to consider

◆ isIdealFluid1()

template<class Scalar , class Fluid0 , class Fluid1 >
static bool Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::isIdealFluid1 ( int  phaseIdx)
inlinestatic
Parameters
phaseIdxThe index of the fluid phase to consider

◆ isIdealGas()

template<class Scalar , class Fluid0 , class Fluid1 >
static constexpr bool Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::isIdealGas ( int  phaseIdx)
inlinestaticconstexpr
Parameters
phaseIdxThe index of the fluid phase to consider

◆ isIdealMixture()

template<class Scalar , class Fluid0 , class Fluid1 >
static bool Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::isIdealMixture ( int  phaseIdx)
inlinestatic
Parameters
phaseIdxThe index of the fluid phase to consider

We define an ideal mixture as a fluid phase where the fugacity coefficients of all components times the pressure of the phase are independent on the fluid composition. This assumption is true if immiscibility is assumed. If you are unsure what this function should return, it is safe to return false. The only damage done will be (slightly) increased computation times in some cases.

◆ isMiscible()

template<class Scalar , class Fluid0 , class Fluid1 >
static constexpr bool Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::isMiscible ( )
inlinestaticconstexpr

◆ isTracerFluidSystem()

static constexpr bool Dumux::FluidSystems::Base< Scalar , TwoPImmiscible< Scalar, Fluid0, Fluid1 > >::isTracerFluidSystem ( )
inlinestaticconstexprinherited

If the fluid system only contains tracer components

◆ molarDensity() [1/2]

static Scalar Dumux::FluidSystems::Base< Scalar , TwoPImmiscible< Scalar, Fluid0, Fluid1 > >::molarDensity ( const FluidState &  fluidState,
const ParameterCache paramCache,
int  phaseIdx 
)
inlinestaticinherited

The molar density is defined by the mass density \(\rho_\alpha\) and the component molar mass \(M_\alpha\) after

\[\rho_{mol,\alpha} = \frac{\rho_\alpha}{M_\alpha} \;.\]

Parameters
fluidStateThe fluid state
paramCachemutable parameters
phaseIdxIndex of the fluid phase

◆ molarDensity() [2/2]

template<class Scalar , class Fluid0 , class Fluid1 >
template<class FluidState >
static Scalar Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::molarDensity ( const FluidState &  fluidState,
int  phaseIdx 
)
inlinestatic

◆ molarMass()

template<class Scalar , class Fluid0 , class Fluid1 >
static Scalar Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::molarMass ( int  compIdx)
inlinestatic
Parameters
compIdxindex of the component

◆ phaseName()

template<class Scalar , class Fluid0 , class Fluid1 >
static std::string Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::phaseName ( int  phaseIdx)
inlinestatic
Parameters
phaseIdxThe index of the fluid phase to consider

◆ thermalConductivity() [1/2]

static Scalar Dumux::FluidSystems::Base< Scalar , TwoPImmiscible< Scalar, Fluid0, Fluid1 > >::thermalConductivity ( const FluidState &  fluidState,
const ParameterCache paramCache,
int  phaseIdx 
)
inlinestaticinherited
Parameters
fluidStateThe fluid state
paramCachemutable parameters
phaseIdxIndex of the fluid phase

◆ thermalConductivity() [2/2]

template<class Scalar , class Fluid0 , class Fluid1 >
template<class FluidState >
static Scalar Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::thermalConductivity ( const FluidState &  fluidState,
int  phaseIdx 
)
inlinestatic

◆ viscosity() [1/2]

static Scalar Dumux::FluidSystems::Base< Scalar , TwoPImmiscible< Scalar, Fluid0, Fluid1 > >::viscosity ( const FluidState &  fluidState,
const ParameterCache paramCache,
int  phaseIdx 
)
inlinestaticinherited
Parameters
fluidStateThe fluid state
paramCachemutable parameters
phaseIdxIndex of the fluid phase

◆ viscosity() [2/2]

template<class Scalar , class Fluid0 , class Fluid1 >
template<class FluidState >
static Scalar Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::viscosity ( const FluidState &  fluidState,
int  phaseIdx 
)
inlinestatic

◆ viscosityIsConstant()

template<class Scalar , class Fluid0 , class Fluid1 >
static constexpr bool Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::viscosityIsConstant ( int  phaseIdx)
inlinestaticconstexpr
Parameters
phaseIdxThe index of the fluid phase to consider

Member Data Documentation

◆ comp0Idx

template<class Scalar , class Fluid0 , class Fluid1 >
constexpr int Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::comp0Idx = 0
staticconstexpr

◆ comp1Idx

template<class Scalar , class Fluid0 , class Fluid1 >
constexpr int Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::comp1Idx = 1
staticconstexpr

◆ numComponents

template<class Scalar , class Fluid0 , class Fluid1 >
constexpr int Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::numComponents = 2
staticconstexpr

◆ numPhases

template<class Scalar , class Fluid0 , class Fluid1 >
constexpr int Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::numPhases = 2
staticconstexpr

◆ phase0Idx

template<class Scalar , class Fluid0 , class Fluid1 >
constexpr int Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::phase0Idx = 0
staticconstexpr

◆ phase1Idx

template<class Scalar , class Fluid0 , class Fluid1 >
constexpr int Dumux::FluidSystems::TwoPImmiscible< Scalar, Fluid0, Fluid1 >::phase1Idx = 1
staticconstexpr

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