Density of a gas according to the van der Waals expression (P + n^2 a/V^2)(V - nb) = nRT How density is calculated: given P, (1/V) is calculated for n=1 and rho = molar_mass*(1/V). More...

#include <RichardsDensityVDW.h>

Inheritance diagram for RichardsDensityVDW:

[legend]

Public Types
typedef DataFileName	DataFileParameterType

Public Member Functions
	RichardsDensityVDW (const InputParameters &parameters)

Real	density (Real p) const
	fluid density as a function of porepressure More...

Real	ddensity (Real p) const
	derivative of fluid density wrt porepressure More...

Real	d2density (Real p) const
	second derivative of fluid density wrt porepressure More...

void	initialize ()

void	execute ()

void	finalize ()

SubProblem &	getSubProblem () const

bool	shouldDuplicateInitialExecution () const

virtual Real	spatialValue (const Point &) const

virtual const std::vector< Point >	spatialPoints () const

void	gatherSum (T &value)

void	gatherMax (T &value)

void	gatherMin (T &value)

void	gatherProxyValueMax (T1 &value, T2 &proxy)

void	gatherProxyValueMin (T1 &value, T2 &proxy)

void	setPrimaryThreadCopy (UserObject *primary)

UserObject *	primaryThreadCopy ()

std::set< UserObjectName >	getDependObjects () const

virtual bool	needThreadedCopy () const

const std::set< std::string > &	getRequestedItems () override

const std::set< std::string > &	getSuppliedItems () override

unsigned int	systemNumber () const

virtual bool	enabled () const

std::shared_ptr< MooseObject >	getSharedPtr ()

std::shared_ptr< const MooseObject >	getSharedPtr () const

MooseApp &	getMooseApp () const

const std::string &	type () const

virtual const std::string &	name () const

std::string	typeAndName () const

std::string	errorPrefix (const std::string &error_type) const

void	callMooseError (std::string msg, const bool with_prefix) const

MooseObjectParameterName	uniqueParameterName (const std::string &parameter_name) const

const InputParameters &	parameters () const

MooseObjectName	uniqueName () const

const T &	getParam (const std::string &name) const

std::vector< std::pair< T1, T2 > >	getParam (const std::string &param1, const std::string &param2) const

const T &	getRenamedParam (const std::string &old_name, const std::string &new_name) const

T	getCheckedPointerParam (const std::string &name, const std::string &error_string="") const

bool	isParamValid (const std::string &name) const

bool	isParamSetByUser (const std::string &nm) const

void	paramError (const std::string &param, Args... args) const

void	paramWarning (const std::string &param, Args... args) const

void	paramInfo (const std::string &param, Args... args) const

void	connectControllableParams (const std::string &parameter, const std::string &object_type, const std::string &object_name, const std::string &object_parameter) const

void	mooseError (Args &&... args) const

void	mooseErrorNonPrefixed (Args &&... args) const

void	mooseDocumentedError (const std::string &repo_name, const unsigned int issue_num, Args &&... args) const

void	mooseWarning (Args &&... args) const

void	mooseWarningNonPrefixed (Args &&... args) const

void	mooseDeprecated (Args &&... args) const

void	mooseInfo (Args &&... args) const

std::string	getDataFileName (const std::string &param) const

std::string	getDataFileNameByName (const std::string &name, const std::string *param=nullptr) const

virtual void	initialSetup ()

virtual void	timestepSetup ()

virtual void	jacobianSetup ()

virtual void	residualSetup ()

virtual void	customSetup (const ExecFlagType &)

const ExecFlagEnum &	getExecuteOnEnum () const

UserObjectName	getUserObjectName (const std::string &param_name) const

const T &	getUserObject (const std::string &param_name, bool is_dependency=true) const

const T &	getUserObjectByName (const UserObjectName &object_name, bool is_dependency=true) const

const UserObject &	getUserObjectBase (const std::string &param_name, bool is_dependency=true) const

const UserObject &	getUserObjectBaseByName (const UserObjectName &object_name, bool is_dependency=true) const

const GenericMaterialProperty< T, is_ad > &	getGenericMaterialProperty (const std::string &name, MaterialData &material_data, const unsigned int state=0)

const GenericMaterialProperty< T, is_ad > &	getGenericMaterialProperty (const std::string &name, const unsigned int state=0)

const GenericMaterialProperty< T, is_ad > &	getGenericMaterialProperty (const std::string &name, const unsigned int state=0)

const MaterialProperty< T > &	getMaterialProperty (const std::string &name, MaterialData &material_data, const unsigned int state=0)

const MaterialProperty< T > &	getMaterialProperty (const std::string &name, const unsigned int state=0)

const MaterialProperty< T > &	getMaterialProperty (const std::string &name, const unsigned int state=0)

const ADMaterialProperty< T > &	getADMaterialProperty (const std::string &name, MaterialData &material_data)

const ADMaterialProperty< T > &	getADMaterialProperty (const std::string &name)

const ADMaterialProperty< T > &	getADMaterialProperty (const std::string &name)

const MaterialProperty< T > &	getMaterialPropertyOld (const std::string &name, MaterialData &material_data)

const MaterialProperty< T > &	getMaterialPropertyOld (const std::string &name)

const MaterialProperty< T > &	getMaterialPropertyOld (const std::string &name)

const MaterialProperty< T > &	getMaterialPropertyOlder (const std::string &name, MaterialData &material_data)

const MaterialProperty< T > &	getMaterialPropertyOlder (const std::string &name)

const MaterialProperty< T > &	getMaterialPropertyOlder (const std::string &name)

const GenericMaterialProperty< T, is_ad > &	getGenericMaterialPropertyByName (const MaterialPropertyName &name, MaterialData &material_data, const unsigned int state)

const GenericMaterialProperty< T, is_ad > &	getGenericMaterialPropertyByName (const MaterialPropertyName &name, const unsigned int state=0)

const GenericMaterialProperty< T, is_ad > &	getGenericMaterialPropertyByName (const MaterialPropertyName &name, const unsigned int state=0)

const MaterialProperty< T > &	getMaterialPropertyByName (const MaterialPropertyName &name, MaterialData &material_data, const unsigned int state=0)

const MaterialProperty< T > &	getMaterialPropertyByName (const MaterialPropertyName &name, const unsigned int state=0)

const MaterialProperty< T > &	getMaterialPropertyByName (const MaterialPropertyName &name, const unsigned int state=0)

const ADMaterialProperty< T > &	getADMaterialPropertyByName (const MaterialPropertyName &name, MaterialData &material_data)

const ADMaterialProperty< T > &	getADMaterialPropertyByName (const MaterialPropertyName &name)

const ADMaterialProperty< T > &	getADMaterialPropertyByName (const MaterialPropertyName &name)

const MaterialProperty< T > &	getMaterialPropertyOldByName (const MaterialPropertyName &name, MaterialData &material_data)

const MaterialProperty< T > &	getMaterialPropertyOldByName (const MaterialPropertyName &name)

const MaterialProperty< T > &	getMaterialPropertyOldByName (const MaterialPropertyName &name)

const MaterialProperty< T > &	getMaterialPropertyOlderByName (const MaterialPropertyName &name, MaterialData &material_data)

const MaterialProperty< T > &	getMaterialPropertyOlderByName (const MaterialPropertyName &name)

const MaterialProperty< T > &	getMaterialPropertyOlderByName (const MaterialPropertyName &name)

std::pair< const MaterialProperty< T > *, std::set< SubdomainID > >	getBlockMaterialProperty (const MaterialPropertyName &name)

const GenericMaterialProperty< T, is_ad > &	getGenericZeroMaterialProperty (const std::string &name)

const GenericMaterialProperty< T, is_ad > &	getGenericZeroMaterialProperty ()

const GenericMaterialProperty< T, is_ad > &	getGenericZeroMaterialPropertyByName (const std::string &prop_name)

const MaterialProperty< T > &	getZeroMaterialProperty (Ts... args)

std::set< SubdomainID >	getMaterialPropertyBlocks (const std::string &name)

std::vector< SubdomainName >	getMaterialPropertyBlockNames (const std::string &name)

std::set< BoundaryID >	getMaterialPropertyBoundaryIDs (const std::string &name)

std::vector< BoundaryName >	getMaterialPropertyBoundaryNames (const std::string &name)

void	checkBlockAndBoundaryCompatibility (std::shared_ptr< MaterialBase > discrete)

std::unordered_map< SubdomainID, std::vector< MaterialBase *> >	buildRequiredMaterials (bool allow_stateful=true)

void	statefulPropertiesAllowed (bool)

bool	getMaterialPropertyCalled () const

const std::unordered_set< unsigned int > &	getMatPropDependencies () const

virtual void	resolveOptionalProperties ()

const GenericMaterialProperty< T, is_ad > &	getPossiblyConstantGenericMaterialPropertyByName (const MaterialPropertyName &prop_name, MaterialData &material_data, const unsigned int state)

bool	isImplicit ()

virtual void	threadJoin (const UserObject &) override

virtual void	threadJoin (const UserObject &) override

virtual void	subdomainSetup () override

virtual void	subdomainSetup () override

bool	hasUserObject (const std::string &param_name) const

bool	hasUserObject (const std::string &param_name) const

bool	hasUserObject (const std::string &param_name) const

bool	hasUserObject (const std::string &param_name) const

bool	hasUserObjectByName (const UserObjectName &object_name) const

bool	hasUserObjectByName (const UserObjectName &object_name) const

bool	hasUserObjectByName (const UserObjectName &object_name) const

bool	hasUserObjectByName (const UserObjectName &object_name) const

const GenericOptionalMaterialProperty< T, is_ad > &	getGenericOptionalMaterialProperty (const std::string &name, const unsigned int state=0)

const GenericOptionalMaterialProperty< T, is_ad > &	getGenericOptionalMaterialProperty (const std::string &name, const unsigned int state=0)

const OptionalMaterialProperty< T > &	getOptionalMaterialProperty (const std::string &name, const unsigned int state=0)

const OptionalMaterialProperty< T > &	getOptionalMaterialProperty (const std::string &name, const unsigned int state=0)

const OptionalADMaterialProperty< T > &	getOptionalADMaterialProperty (const std::string &name)

const OptionalADMaterialProperty< T > &	getOptionalADMaterialProperty (const std::string &name)

const OptionalMaterialProperty< T > &	getOptionalMaterialPropertyOld (const std::string &name)

const OptionalMaterialProperty< T > &	getOptionalMaterialPropertyOld (const std::string &name)

const OptionalMaterialProperty< T > &	getOptionalMaterialPropertyOlder (const std::string &name)

const OptionalMaterialProperty< T > &	getOptionalMaterialPropertyOlder (const std::string &name)

MaterialBase &	getMaterial (const std::string &name)

MaterialBase &	getMaterial (const std::string &name)

MaterialBase &	getMaterialByName (const std::string &name, bool no_warn=false)

MaterialBase &	getMaterialByName (const std::string &name, bool no_warn=false)

bool	hasMaterialProperty (const std::string &name)

bool	hasMaterialProperty (const std::string &name)

bool	hasMaterialPropertyByName (const std::string &name)

bool	hasMaterialPropertyByName (const std::string &name)

bool	hasADMaterialProperty (const std::string &name)

bool	hasADMaterialProperty (const std::string &name)

bool	hasADMaterialPropertyByName (const std::string &name)

bool	hasADMaterialPropertyByName (const std::string &name)

bool	hasGenericMaterialProperty (const std::string &name)

bool	hasGenericMaterialProperty (const std::string &name)

bool	hasGenericMaterialPropertyByName (const std::string &name)

bool	hasGenericMaterialPropertyByName (const std::string &name)

const Function &	getFunction (const std::string &name) const

const Function &	getFunctionByName (const FunctionName &name) const

bool	hasFunction (const std::string &param_name) const

bool	hasFunctionByName (const FunctionName &name) const

bool	isDefaultPostprocessorValue (const std::string &param_name, const unsigned int index=0) const

bool	hasPostprocessor (const std::string &param_name, const unsigned int index=0) const

bool	hasPostprocessorByName (const PostprocessorName &name) const

std::size_t	coupledPostprocessors (const std::string &param_name) const

const PostprocessorName &	getPostprocessorName (const std::string &param_name, const unsigned int index=0) const

const VectorPostprocessorValue &	getVectorPostprocessorValue (const std::string &param_name, const std::string &vector_name) const

const VectorPostprocessorValue &	getVectorPostprocessorValue (const std::string &param_name, const std::string &vector_name, bool needs_broadcast) const

const VectorPostprocessorValue &	getVectorPostprocessorValueByName (const VectorPostprocessorName &name, const std::string &vector_name) const

const VectorPostprocessorValue &	getVectorPostprocessorValueByName (const VectorPostprocessorName &name, const std::string &vector_name, bool needs_broadcast) const

const VectorPostprocessorValue &	getVectorPostprocessorValueOld (const std::string &param_name, const std::string &vector_name) const

const VectorPostprocessorValue &	getVectorPostprocessorValueOld (const std::string &param_name, const std::string &vector_name, bool needs_broadcast) const

const VectorPostprocessorValue &	getVectorPostprocessorValueOldByName (const VectorPostprocessorName &name, const std::string &vector_name) const

const VectorPostprocessorValue &	getVectorPostprocessorValueOldByName (const VectorPostprocessorName &name, const std::string &vector_name, bool needs_broadcast) const

const ScatterVectorPostprocessorValue &	getScatterVectorPostprocessorValue (const std::string &param_name, const std::string &vector_name) const

const ScatterVectorPostprocessorValue &	getScatterVectorPostprocessorValueByName (const VectorPostprocessorName &name, const std::string &vector_name) const

const ScatterVectorPostprocessorValue &	getScatterVectorPostprocessorValueOld (const std::string &param_name, const std::string &vector_name) const

const ScatterVectorPostprocessorValue &	getScatterVectorPostprocessorValueOldByName (const VectorPostprocessorName &name, const std::string &vector_name) const

bool	hasVectorPostprocessor (const std::string &param_name, const std::string &vector_name) const

bool	hasVectorPostprocessor (const std::string &param_name) const

bool	hasVectorPostprocessorByName (const VectorPostprocessorName &name, const std::string &vector_name) const

bool	hasVectorPostprocessorByName (const VectorPostprocessorName &name) const

const VectorPostprocessorName &	getVectorPostprocessorName (const std::string &param_name) const

T &	getSampler (const std::string &name)

Sampler &	getSampler (const std::string &name)

T &	getSamplerByName (const SamplerName &name)

Sampler &	getSamplerByName (const SamplerName &name)

virtual void	meshChanged ()

const std::vector< MooseVariableScalar *> &	getCoupledMooseScalarVars ()

const std::set< TagID > &	getScalarVariableCoupleableVectorTags () const

const std::set< TagID > &	getScalarVariableCoupleableMatrixTags () const

PerfGraph &	perfGraph ()

const PostprocessorValue &	getPostprocessorValue (const std::string &param_name, const unsigned int index=0) const

const PostprocessorValue &	getPostprocessorValue (const std::string &param_name, const unsigned int index=0) const

const PostprocessorValue &	getPostprocessorValueOld (const std::string &param_name, const unsigned int index=0) const

const PostprocessorValue &	getPostprocessorValueOld (const std::string &param_name, const unsigned int index=0) const

const PostprocessorValue &	getPostprocessorValueOlder (const std::string &param_name, const unsigned int index=0) const

const PostprocessorValue &	getPostprocessorValueOlder (const std::string &param_name, const unsigned int index=0) const

virtual const PostprocessorValue &	getPostprocessorValueByName (const PostprocessorName &name) const

virtual const PostprocessorValue &	getPostprocessorValueByName (const PostprocessorName &name) const

const PostprocessorValue &	getPostprocessorValueOldByName (const PostprocessorName &name) const

const PostprocessorValue &	getPostprocessorValueOldByName (const PostprocessorName &name) const

const PostprocessorValue &	getPostprocessorValueOlderByName (const PostprocessorName &name) const

const PostprocessorValue &	getPostprocessorValueOlderByName (const PostprocessorName &name) const

bool	isVectorPostprocessorDistributed (const std::string &param_name) const

bool	isVectorPostprocessorDistributed (const std::string &param_name) const

bool	isVectorPostprocessorDistributedByName (const VectorPostprocessorName &name) const

bool	isVectorPostprocessorDistributedByName (const VectorPostprocessorName &name) const

const Distribution &	getDistribution (const std::string &name) const

const T &	getDistribution (const std::string &name) const

const Distribution &	getDistribution (const std::string &name) const

const T &	getDistribution (const std::string &name) const

const Distribution &	getDistributionByName (const DistributionName &name) const

const T &	getDistributionByName (const std::string &name) const

const Distribution &	getDistributionByName (const DistributionName &name) const

const T &	getDistributionByName (const std::string &name) const

const Parallel::Communicator &	comm () const

processor_id_type	n_processors () const

processor_id_type	processor_id () const

Static Public Member Functions
static InputParameters	validParams ()

static void	sort (typename std::vector< T > &vector)

static void	sortDFS (typename std::vector< T > &vector)

static void	cyclicDependencyError (CyclicDependencyException< T2 > &e, const std::string &header)

Public Attributes
const ConsoleStream	_console

Static Public Attributes
static constexpr PropertyValue::id_type	default_property_id

static constexpr PropertyValue::id_type	zero_property_id

static constexpr auto	SYSTEM

static constexpr auto	NAME

Protected Member Functions
Real	densityVDW (Real p) const
	Density according to the van der Waals expression This is modified to yield density(p) as noted above. More...

virtual void	addPostprocessorDependencyHelper (const PostprocessorName &name) const override

virtual void	addVectorPostprocessorDependencyHelper (const VectorPostprocessorName &name) const override

virtual void	addUserObjectDependencyHelper (const UserObject &uo) const override

void	addReporterDependencyHelper (const ReporterName &reporter_name) override

const ReporterName &	getReporterName (const std::string &param_name) const

T &	declareRestartableData (const std::string &data_name, Args &&... args)

ManagedValue< T >	declareManagedRestartableDataWithContext (const std::string &data_name, void *context, Args &&... args)

const T &	getRestartableData (const std::string &data_name) const

T &	declareRestartableDataWithContext (const std::string &data_name, void *context, Args &&... args)

T &	declareRecoverableData (const std::string &data_name, Args &&... args)

T &	declareRestartableDataWithObjectName (const std::string &data_name, const std::string &object_name, Args &&... args)

T &	declareRestartableDataWithObjectNameWithContext (const std::string &data_name, const std::string &object_name, void *context, Args &&... args)

std::string	restartableName (const std::string &data_name) const

const T &	getMeshProperty (const std::string &data_name, const std::string &prefix)

const T &	getMeshProperty (const std::string &data_name)

bool	hasMeshProperty (const std::string &data_name, const std::string &prefix) const

bool	hasMeshProperty (const std::string &data_name, const std::string &prefix) const

bool	hasMeshProperty (const std::string &data_name) const

bool	hasMeshProperty (const std::string &data_name) const

std::string	meshPropertyName (const std::string &data_name) const

bool	isCoupledScalar (const std::string &var_name, unsigned int i=0) const

unsigned int	coupledScalarComponents (const std::string &var_name) const

unsigned int	coupledScalar (const std::string &var_name, unsigned int comp=0) const

Order	coupledScalarOrder (const std::string &var_name, unsigned int comp=0) const

const VariableValue &	coupledScalarValue (const std::string &var_name, unsigned int comp=0) const

const ADVariableValue &	adCoupledScalarValue (const std::string &var_name, unsigned int comp=0) const

const GenericVariableValue< is_ad > &	coupledGenericScalarValue (const std::string &var_name, unsigned int comp=0) const

const GenericVariableValue< false > &	coupledGenericScalarValue (const std::string &var_name, const unsigned int comp) const

const GenericVariableValue< true > &	coupledGenericScalarValue (const std::string &var_name, const unsigned int comp) const

const VariableValue &	coupledVectorTagScalarValue (const std::string &var_name, TagID tag, unsigned int comp=0) const

const VariableValue &	coupledMatrixTagScalarValue (const std::string &var_name, TagID tag, unsigned int comp=0) const

const VariableValue &	coupledScalarValueOld (const std::string &var_name, unsigned int comp=0) const

const VariableValue &	coupledScalarValueOlder (const std::string &var_name, unsigned int comp=0) const

const VariableValue &	coupledScalarDot (const std::string &var_name, unsigned int comp=0) const

const ADVariableValue &	adCoupledScalarDot (const std::string &var_name, unsigned int comp=0) const

const VariableValue &	coupledScalarDotDot (const std::string &var_name, unsigned int comp=0) const

const VariableValue &	coupledScalarDotOld (const std::string &var_name, unsigned int comp=0) const

const VariableValue &	coupledScalarDotDotOld (const std::string &var_name, unsigned int comp=0) const

const VariableValue &	coupledScalarDotDu (const std::string &var_name, unsigned int comp=0) const

const VariableValue &	coupledScalarDotDotDu (const std::string &var_name, unsigned int comp=0) const

const MooseVariableScalar *	getScalarVar (const std::string &var_name, unsigned int comp) const

PerfID	registerTimedSection (const std::string &section_name, const unsigned int level) const

PerfID	registerTimedSection (const std::string &section_name, const unsigned int level, const std::string &live_message, const bool print_dots=true) const

std::string	timedSectionName (const std::string &section_name) const

virtual void	checkMaterialProperty (const std::string &name, const unsigned int state)

void	markMatPropRequested (const std::string &)

MaterialPropertyName	getMaterialPropertyName (const std::string &name) const

void	checkExecutionStage ()

Moose::StateArg	determineState () const

const T &	getReporterValue (const std::string &param_name, const std::size_t time_index=0)

const T &	getReporterValue (const std::string &param_name, ReporterMode mode, const std::size_t time_index=0)

const T &	getReporterValue (const std::string &param_name, const std::size_t time_index=0)

const T &	getReporterValue (const std::string &param_name, ReporterMode mode, const std::size_t time_index=0)

const T &	getReporterValueByName (const ReporterName &reporter_name, const std::size_t time_index=0)

const T &	getReporterValueByName (const ReporterName &reporter_name, ReporterMode mode, const std::size_t time_index=0)

const T &	getReporterValueByName (const ReporterName &reporter_name, const std::size_t time_index=0)

const T &	getReporterValueByName (const ReporterName &reporter_name, ReporterMode mode, const std::size_t time_index=0)

bool	hasReporterValue (const std::string &param_name) const

bool	hasReporterValue (const std::string &param_name) const

bool	hasReporterValue (const std::string &param_name) const

bool	hasReporterValue (const std::string &param_name) const

bool	hasReporterValueByName (const ReporterName &reporter_name) const

bool	hasReporterValueByName (const ReporterName &reporter_name) const

bool	hasReporterValueByName (const ReporterName &reporter_name) const

bool	hasReporterValueByName (const ReporterName &reporter_name) const

const GenericMaterialProperty< T, is_ad > *	defaultGenericMaterialProperty (const std::string &name)

const GenericMaterialProperty< T, is_ad > *	defaultGenericMaterialProperty (const std::string &name)

const MaterialProperty< T > *	defaultMaterialProperty (const std::string &name)

const MaterialProperty< T > *	defaultMaterialProperty (const std::string &name)

const ADMaterialProperty< T > *	defaultADMaterialProperty (const std::string &name)

const ADMaterialProperty< T > *	defaultADMaterialProperty (const std::string &name)

Static Protected Member Functions
static std::string	meshPropertyName (const std::string &data_name, const std::string &prefix)

Protected Attributes
Real	_a
	van der Waals a More...

Real	_b
	van der Waals b More...

Real	_rt
	RT (gas constant temperature) More...

Real	_molar_mass
	molar mass of gas More...

Real	_infinity_ratio
	density at P=-infinity is _infinity_ratio*_molar_mass More...

Real	_rhs
	RTb/a. More...

Real	_b2oa
	b^2/a More...

Real	_vdw0
	density at P=0 according to the van der Waals expression More...

Real	_slope0
	(1/_molar_mass)*d(density)/dP at P=0 More...

SubProblem &	_subproblem

FEProblemBase &	_fe_problem

SystemBase &	_sys

const THREAD_ID	_tid

Assembly &	_assembly

const Moose::CoordinateSystemType &	_coord_sys

const bool	_duplicate_initial_execution

std::set< std::string >	_depend_uo

const bool &	_enabled

MooseApp &	_app

const std::string	_type

const std::string	_name

const InputParameters &	_pars

Factory &	_factory

ActionFactory &	_action_factory

const ExecFlagEnum &	_execute_enum

const ExecFlagType &	_current_execute_flag

MooseApp &	_restartable_app

const std::string	_restartable_system_name

const THREAD_ID	_restartable_tid

const bool	_restartable_read_only

FEProblemBase &	_mci_feproblem

FEProblemBase &	_sc_fe_problem

const THREAD_ID	_sc_tid

const Real &	_real_zero

const VariableValue &	_scalar_zero

const Point &	_point_zero

MooseApp &	_pg_moose_app

const std::string	_prefix

const InputParameters &	_mi_params

const std::string	_mi_name

const MooseObjectName	_mi_moose_object_name

FEProblemBase &	_mi_feproblem

SubProblem &	_mi_subproblem

const THREAD_ID	_mi_tid

const Moose::MaterialDataType	_material_data_type

MaterialData &	_material_data

bool	_stateful_allowed

bool	_get_material_property_called

std::vector< std::unique_ptr< PropertyValue > >	_default_properties

std::unordered_set< unsigned int >	_material_property_dependencies

const MaterialPropertyName	_get_suffix

const bool	_use_interpolated_state

const InputParameters &	_ti_params

FEProblemBase &	_ti_feproblem

bool	_is_implicit

Real &	_t

int &	_t_step

Real &	_dt

Real &	_dt_old

bool	_is_transient

const Parallel::Communicator &	_communicator

Static Protected Attributes
static const std::string	_interpolated_old

static const std::string	_interpolated_older

Detailed Description

Density of a gas according to the van der Waals expression (P + n^2 a/V^2)(V - nb) = nRT How density is calculated: given P, (1/V) is calculated for n=1 and rho = molar_mass*(1/V).

The density is actually modified from this rho in the following ways: (1) density = rho - rho(P=0). This is so that density(P=0)=0, which is physically correct, but the wan der Waals expression does not hold close to a vacuum. However, it can be vital that density(P=0)=0 numerically, otherwise fluid can be withdrawn from a node where there shouldn't be any fluid at P=0. This is a miniscule correction, of many orders of magnitude below the precision of a, b, R or T (2) For P<0 we enter an unphysical region, but this may be sampled by the Newton process as the algorithm iterates towards the solution. Therefore i set density = infinity_ratio*molar_mass*(exp(-c*P) - 1) in this region where c is chosen so the derivatives match at P=0

Definition at line 31 of file RichardsDensityVDW.h.

Constructor & Destructor Documentation

◆ RichardsDensityVDW()

RichardsDensityVDW::RichardsDensityVDW ( const InputParameters & parameters )

Definition at line 48 of file RichardsDensityVDW.C.

   : RichardsDensity(parameters),
     _a(getParam<Real>("a")),
     _b(getParam<Real>("b")),
     _rt(getParam<Real>("temperature") * 8.314472), // multiply by gas constant
     _molar_mass(getParam<Real>("molar_mass")),
     _infinity_ratio(getParam<Real>("infinity_ratio")),
     _rhs(_rt * _b / _a),
     _b2oa(_b * _b / _a)
 {
   _vdw0 = densityVDW(0);
   _slope0 = ddensity(0) / (_molar_mass * _infinity_ratio);
 }

Member Function Documentation

◆ d2density()

Real RichardsDensityVDW::d2density ( Real p ) const

virtual

second derivative of fluid density wrt porepressure

Parameters

p	porepressure

Implements RichardsDensity.

Definition at line 114 of file RichardsDensityVDW.C.

 {
   if (p >= 0)
   {
     Real y = _b2oa * p;
     Real dy = _b2oa;
     Real sq = std::sqrt(4.0 * Utility::pow<3>(-1.0 + 3.0 * y + 3.0 * _rhs) +
                         Utility::pow<2>(-2.0 - 18.0 * y + 9.0 * _rhs));
     Real dsq = 0.5 / sq *
                (4.0 * 3.0 * Utility::pow<2>(-1.0 + 3.0 * y + 3.0 * _rhs) * 3.0 * dy +
                 2.0 * (-2.0 - 18.0 * y + 9.0 * _rhs) * (-18.0 * dy));
     Real d2sq = -dsq * dsq / sq;
     d2sq += 0.5 / sq *
             (4.0 * 3.0 * 2.0 * (-1.0 + 3.0 * y + 3.0 * _rhs) * 3.0 * dy * 3.0 * dy +
              2.0 * (-18.0 * dy) * (-18.0 * dy));
     Real cr = std::cbrt(-2.0 + 9.0 * _rhs - 18.0 * y + sq);
     Real dcr =
         1.0 / 3.0 * std::pow(-2.0 + 9.0 * _rhs - 18.0 * y + sq, -2.0 / 3.0) * (-18.0 * dy + dsq);
     Real d2cr = 1.0 / 3.0 * (-2.0 / 3.0) * std::pow(-2 + 9 * _rhs - 18 * y + sq, -5. / 3.) *
                 Utility::pow<2>(-18 * dy + dsq);
     d2cr += 1.0 / 3.0 * std::pow(-2 + 9 * _rhs - 18 * y + sq, -2. / 3.) * d2sq;
     // Real dx = std::pow(2, 1.0/3.0)*( (3*dy)/3/cr + (-1 + 3*_rhs + 3*y)/3*(-dcr/cr/cr));
     // dx -= dcr/3/std::pow(2, 1.0/3.0);
     Real d2x = std::cbrt(2.0) *
                (-(3.0 * dy) * dcr / (3.0 * cr * cr) + 3.0 * dy / 3.0 * (-dcr / (cr * cr)) +
                 (-1.0 + 3.0 * _rhs + 3.0 * y) / 3.0 *
                     (-d2cr / (cr * cr) + 2.0 * dcr * dcr / Utility::pow<3>(cr)));
     d2x -= d2cr / (3.0 * std::cbrt(2.0));
     return _molar_mass * d2x / _b;
   }
   else
     return _infinity_ratio * _molar_mass * Utility::pow<2>(_slope0) * std::exp(_slope0 * p);
 }

◆ ddensity()

Real RichardsDensityVDW::ddensity ( Real p ) const

virtual

derivative of fluid density wrt porepressure

Parameters

p	porepressure

Implements RichardsDensity.

Definition at line 90 of file RichardsDensityVDW.C.

Referenced by RichardsDensityVDW().

 {
   if (p >= 0)
   {
     Real y = _b2oa * p;
     Real dy = _b2oa;
     Real sq = std::sqrt(4.0 * Utility::pow<3>(-1.0 + 3.0 * y + 3.0 * _rhs) +
                         Utility::pow<2>(-2.0 - 18.0 * y + 9.0 * _rhs));
     Real dsq = 0.5 / sq *
                (4.0 * 3.0 * Utility::pow<2>(-1.0 + 3.0 * y + 3.0 * _rhs) * 3.0 * dy +
                 2.0 * (-2.0 - 18.0 * y + 9.0 * _rhs) * (-18.0 * dy));
     Real cr = std::cbrt(-2.0 + 9.0 * _rhs - 18.0 * y + sq);
     Real dcr =
         1.0 / 3.0 * std::pow(-2.0 + 9.0 * _rhs - 18.0 * y + sq, -2.0 / 3.0) * (-18.0 * dy + dsq);
     Real dx = std::cbrt(2.0) *
               ((3.0 * dy) / (3.0 * cr) + (-1.0 + 3.0 * _rhs + 3.0 * y) / 3.0 * (-dcr / (cr * cr)));
     dx -= dcr / (3.0 * std::cbrt(2.0));
     return _molar_mass * dx / _b;
   }
   else
     return _infinity_ratio * _molar_mass * _slope0 * std::exp(_slope0 * p);
 }

◆ density()

Real RichardsDensityVDW::density ( Real p ) const

virtual

fluid density as a function of porepressure

Parameters

p	porepressure

Implements RichardsDensity.

Definition at line 81 of file RichardsDensityVDW.C.

 {
   if (p >= 0)
     return densityVDW(p) - _vdw0;
   else
     return _infinity_ratio * _molar_mass * (std::exp(_slope0 * p) - 1.0);
 }

◆ densityVDW()

Real RichardsDensityVDW::densityVDW ( Real p ) const

protected

Density according to the van der Waals expression This is modified to yield density(p) as noted above.

Parameters

p	porepressure

Definition at line 63 of file RichardsDensityVDW.C.

Referenced by density(), and RichardsDensityVDW().

 {
   // transform (P + a/V^2)(V-b) = RT to
   // (y + x^2)(1/x - 1) = rhs
   // with: y = b^2*P/a, x = b/V, rhs = RT*b/a
   // Then solve for x, using mathematica
   // Then density = molar_mass/V = molar_mass*x/b
   Real y = _b2oa * p;
   Real sq = std::sqrt(4.0 * Utility::pow<3>(-1.0 + 3.0 * y + 3.0 * _rhs) +
                       Utility::pow<2>(-2.0 - 18.0 * y + 9.0 * _rhs));
   Real cr = std::cbrt(-2.0 + 9.0 * _rhs - 18.0 * y + sq);
   Real x = 1.0 / 3.0;
   x += std::cbrt(2.0) * (-1.0 + 3.0 * _rhs + 3.0 * y) / (3.0 * cr);
   x -= cr / (3.0 * std::cbrt(2.0));
   return _molar_mass * x / _b;
 }

◆ execute()

void RichardsDensity::execute ( )

virtualinherited

Implements GeneralUserObject.

Definition at line 33 of file RichardsDensity.C.

34 {

35 }

◆ finalize()

void RichardsDensity::finalize ( )

virtualinherited

Implements GeneralUserObject.

Definition at line 38 of file RichardsDensity.C.

39 {

40 }

◆ initialize()

void RichardsDensity::initialize ( )

virtualinherited

Implements GeneralUserObject.

Definition at line 28 of file RichardsDensity.C.

29 {

30 }

◆ validParams()

InputParameters RichardsDensityVDW::validParams ( )

static

Definition at line 16 of file RichardsDensityVDW.C.

 {
   InputParameters params = RichardsDensity::validParams();
   params.addRequiredRangeCheckedParam<Real>(
       "a",
       "a > 0",
       "Parameter 'a' in the van der Waals expression (P + n^2 a/V^2)(V - nb) = nRT.  "
       "Example for methane 0.2303 Pa m^6 mol^-2");
   params.addRequiredRangeCheckedParam<Real>(
       "b",
       "b > 0",
       "Parameter 'b' in the van der Waals expression (P + n^2 a/V^2)(V - nb) = nRT.  "
       "Example for methane 4.31E-5 m^3/mol");
   params.addRequiredRangeCheckedParam<Real>(
       "temperature", "temperature > 0", "Temperature in Kelvin");
   params.addRequiredRangeCheckedParam<Real>(
       "molar_mass",
       "molar_mass > 0",
       "Molar mass of the gas.  Example for methane 16.04246E-3 kg/mol");
   params.addRangeCheckedParam<Real>("infinity_ratio",
                                     10,
                                     "infinity_ratio > 0",
                                     "For P<0 the density is not physically defined, "
                                     "but numerically it is advantageous to define "
                                     "it:  density(P=-infinity) = "
                                     "-infinity_ratio*molar_mass, and density tends "
                                     "exponentially towards this value as P -> "
                                     "-infinity.  (Units are mol/m^3).");
   params.addClassDescription("Density of van der Waals gas.");
   return params;
 }

Member Data Documentation

◆ _a

Real RichardsDensityVDW::_a

protected

van der Waals a

Definition at line 58 of file RichardsDensityVDW.h.

◆ _b

Real RichardsDensityVDW::_b

protected

van der Waals b

Definition at line 61 of file RichardsDensityVDW.h.

Referenced by d2density(), ddensity(), and densityVDW().

◆ _b2oa

Real RichardsDensityVDW::_b2oa

protected

b^2/a

Definition at line 76 of file RichardsDensityVDW.h.

Referenced by d2density(), ddensity(), and densityVDW().

◆ _infinity_ratio

Real RichardsDensityVDW::_infinity_ratio

protected

density at P=-infinity is _infinity_ratio*_molar_mass

Definition at line 70 of file RichardsDensityVDW.h.

Referenced by d2density(), ddensity(), density(), and RichardsDensityVDW().

◆ _molar_mass

Real RichardsDensityVDW::_molar_mass

protected

molar mass of gas

Definition at line 67 of file RichardsDensityVDW.h.

Referenced by d2density(), ddensity(), density(), densityVDW(), and RichardsDensityVDW().

◆ _rhs

Real RichardsDensityVDW::_rhs

protected

R*T*b/a.

Definition at line 73 of file RichardsDensityVDW.h.

Referenced by d2density(), ddensity(), and densityVDW().

◆ _rt

Real RichardsDensityVDW::_rt

protected

R*T (gas constant * temperature)

Definition at line 64 of file RichardsDensityVDW.h.

◆ _slope0

Real RichardsDensityVDW::_slope0

protected

(1/_molar_mass)*d(density)/dP at P=0

Definition at line 82 of file RichardsDensityVDW.h.

Referenced by d2density(), ddensity(), density(), and RichardsDensityVDW().

◆ _vdw0

Real RichardsDensityVDW::_vdw0

protected

density at P=0 according to the van der Waals expression

Definition at line 79 of file RichardsDensityVDW.h.

Referenced by density(), and RichardsDensityVDW().

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

richards/include/userobjects/RichardsDensityVDW.h
richards/src/userobjects/RichardsDensityVDW.C

Public Types

Public Member Functions

Static Public Member Functions

Public Attributes

Static Public Attributes

Protected Member Functions

Static Protected Member Functions

Protected Attributes

Static Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ RichardsDensityVDW()

Member Function Documentation

◆ d2density()

◆ ddensity()

◆ density()

◆ densityVDW()

◆ execute()

◆ finalize()

◆ initialize()

◆ validParams()

Member Data Documentation

◆ _a

◆ _b

◆ _b2oa

◆ _infinity_ratio

◆ _molar_mass

◆ _rhs

◆ _rt

◆ _slope0

◆ _vdw0