OneDFSIPhysics - Base class providing physical operations for the 1D model data. More...

#include <OneDFSIPhysics.hpp>

Inheritance diagram for OneDFSIPhysics:

Collaboration diagram for OneDFSIPhysics:

Protected Attributes
dataPtr_Type	M_dataPtr

Private Attributes
vectorPtr_Type	M_previousAreaPtr

Type definitions and Enumerators
typedef FactorySingleton< Factory< OneDFSIPhysics, OneDFSI::physicsType_Type > >	factoryPhysics_Type

typedef OneDFSIData	data_Type

typedef std::shared_ptr< data_Type >	dataPtr_Type

typedef VectorEpetra	vector_Type

typedef std::shared_ptr< vector_Type >	vectorPtr_Type

Constructors & Destructor
	OneDFSIPhysics ()
	Empty constructor. More...

	OneDFSIPhysics (const dataPtr_Type dataPtr)
	Constructor. More...

virtual	~OneDFSIPhysics ()
	Destructor. More...

Conversion methods
virtual void	fromWToU (Real &U1, Real &U2, const Real &W1, const Real &W2, const UInt &iNode) const =0
	Compute $\mathbf U$ from $\mathbf W$ . More...

virtual void	fromUToW (Real &W1, Real &W2, const Real &U1, const Real &U2, const UInt &iNode) const =0
	Compute $\mathbf W$ from $\mathbf U$ . More...

virtual Real	fromWToP (const Real &W1, const Real &W2, const UInt &iNode) const =0
	Compute from $\mathbf W$ . More...

virtual Real	fromPToW (const Real &P, const Real &W, const ID &iW, const UInt &iNode) const =0
	Compute or from . More...

virtual Real	fromQToW (const Real &Q, const Real &W_tn, const Real &W, const ID &iW, const UInt &iNode) const =0
	Compute or from . More...

Real	fromPToA (const Real &P, const Real &timeStep, const UInt &iNode, const bool &elasticExternalNodes=true) const
	Compute the area given the elastic pressure $P_\mathrm{elastic}$ . More...

Derivatives methods
Real	dAdt (const Real &Anp1, const Real &timeStep, const UInt &iNode) const
	Compute the derivative of the area with respect to the time using a first order finite difference. More...

virtual Real	dPdW (const Real &W1, const Real &W2, const ID &iW, const UInt &iNode) const =0
	Compute the derivative of pressure with respect to $\mathbf W$ . More...

Real	dPdA (const Real &A, const Real &timeStep, const UInt &iNode, const bool &elasticExternalNodes=true) const
	Compute the derivative of the pressure with respect to . More...

Real	dPdAelastic (const Real &A, const UInt &iNode) const
	Compute the derivative of the elastic pressure with respect to . More...

Real	dPdAviscoelastic (const Real &A, const Real &timeStep, const UInt &iNode, const bool &elasticExternalNodes=true) const
	Compute the derivative of the viscoelastic pressure with respect to . More...

Real	dAdP (const Real &P, const Real &timeStep, const UInt &iNode, const bool &elasticExternalNodes=true) const
	Compute the derivative of the area with respect to . More...

Real	dPTdU (const Real &A, const Real &Q, const Real &timeStep, const ID &id, const UInt &iNode) const
	Compute the derivative of total pressure with respect to or . More...

Methods
Real	celerity0 (const UInt &iNode) const
	Compute the reference celerity. More...

Real	pressure (const Real &A, const Real &timeStep, const UInt &iNode, const bool &elasticExternalNodes=true) const
	Compute the pressure. More...

const Real &	externalPressure () const
	Return the external pressure. More...

const Real &	venousPressure () const
	Return the venous pressure. More...

Real	elasticPressure (const Real &A, const UInt &iNode) const
	Compute the elastic pressure. More...

Real	viscoelasticPressure (const Real &A, const Real &timeStep, const UInt &iNode, const bool &elasticExternalNodes=true) const
	Compute the viscoelastic pressure. More...

Real	totalPressure (const Real &A, const Real &Q, const UInt &iNode) const
	Compute the total pressure. More...

Set Methods
void	setData (const dataPtr_Type &dataPtr)
	Set the data container of the problem. More...

void	setArea_tn (const vector_Type &area_tn)
	Set the area at time . More...

Get Methods
dataPtr_Type	data () const
	Get the data container of the problem. More...

Unimplemented Methods
	OneDFSIPhysics (const OneDFSIPhysics &physics)

OneDFSIPhysics &	operator= (const OneDFSIPhysics &physics)

Detailed Description

OneDFSIPhysics - Base class providing physical operations for the 1D model data.

Author: Vincent Martin, Cristiano Malossi

See also: Equations and networks of 1-D models [7]; Geometrical multiscale coupling of 1-D models [12] [13] [3]

It contains the following methods:

utilities for converting Riemann variables to physical quantities (and viceversa);
utilities to compute the different pressure components (and derivatives).

Definition at line 71 of file OneDFSIPhysics.hpp.

Member Typedef Documentation

◆ factoryPhysics_Type

typedef FactorySingleton< Factory< OneDFSIPhysics, OneDFSI::physicsType_Type > > factoryPhysics_Type

Definition at line 77 of file OneDFSIPhysics.hpp.

◆ data_Type

typedef OneDFSIData data_Type

Definition at line 79 of file OneDFSIPhysics.hpp.

◆ dataPtr_Type

typedef std::shared_ptr< data_Type > dataPtr_Type

Definition at line 80 of file OneDFSIPhysics.hpp.

◆ vector_Type

typedef VectorEpetra vector_Type

Definition at line 82 of file OneDFSIPhysics.hpp.

◆ vectorPtr_Type

typedef std::shared_ptr< vector_Type > vectorPtr_Type

Definition at line 83 of file OneDFSIPhysics.hpp.

Constructor & Destructor Documentation

◆ OneDFSIPhysics() [1/3]

OneDFSIPhysics ( )

inlineexplicit

Empty constructor.

Definition at line 92 of file OneDFSIPhysics.hpp.

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◆ OneDFSIPhysics() [2/3]

OneDFSIPhysics ( const dataPtr_Type dataPtr )

inlineexplicit

Constructor.

Parameters

dataPtr pointer to the data container of the problem

Definition at line 98 of file OneDFSIPhysics.hpp.

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◆ ~OneDFSIPhysics()

virtual ~OneDFSIPhysics ( )

inlinevirtual

Destructor.

Definition at line 101 of file OneDFSIPhysics.hpp.

◆ OneDFSIPhysics() [3/3]

OneDFSIPhysics ( const OneDFSIPhysics & physics )

explicitprivate

Member Function Documentation

◆ fromWToU()

virtual void fromWToU	(	Real &	U1,
		Real &	U2,
		const Real &	W1,
		const Real &	W2,
		const UInt &	iNode
	)		const

pure virtual

Compute $\mathbf U$ from $\mathbf W$ .

Parameters

U1	first physical variable
U2	second physical variable
W1	first Riemann variable
W2	second Riemann variable
iNode	node of the mesh

Implemented in OneDFSIPhysicsNonLinear, and OneDFSIPhysicsLinear.

◆ fromUToW()

virtual void fromUToW	(	Real &	W1,
		Real &	W2,
		const Real &	U1,
		const Real &	U2,
		const UInt &	iNode
	)		const

pure virtual

Compute $\mathbf W$ from $\mathbf U$ .

Parameters

W1	first Riemann variable
W2	second Riemann variable
U1	first physical variable
U2	second physical variable
iNode	node of the mesh

Implemented in OneDFSIPhysicsLinear, and OneDFSIPhysicsNonLinear.

◆ fromWToP()

virtual Real fromWToP	(	const Real &	W1,
		const Real &	W2,
		const UInt &	iNode
	)		const

pure virtual

Compute $P$ from $\mathbf W$ .

Parameters

W1	first Riemann variable
W2	second Riemann variable
iNode	node of the mesh

Returns: pressure

Implemented in OneDFSIPhysicsNonLinear, and OneDFSIPhysicsLinear.

◆ fromPToW()

virtual Real fromPToW	(	const Real &	P,
		const Real &	W,
		const ID &	iW,
		const UInt &	iNode
	)		const

pure virtual

Compute $W_1$ or $W_2$ from $P$ .

Parameters

P	pressure
W	Riemann variable
iW	Riemann variable ID (0 for , 1 or )
iNode	node of the mesh

Returns: the other Riemann variable

Implemented in OneDFSIPhysicsNonLinear, and OneDFSIPhysicsLinear.

◆ fromQToW()

virtual Real fromQToW	(	const Real &	Q,
		const Real &	W_tn,
		const Real &	W,
		const ID &	iW,
		const UInt &	iNode
	)		const

pure virtual

Compute $W_1$ or $W_2$ from $Q$ .

Parameters

Q	pressure
W_tn	Riemann variable at time
W	Riemann variable
iW	Riemann variable ID (0 for , 1 or )
iNode	node of the mesh

Returns: the other Riemann variable

Implemented in OneDFSIPhysicsNonLinear, and OneDFSIPhysicsLinear.

◆ fromPToA()

Real fromPToA	(	const Real &	P,
		const Real &	timeStep,
		const UInt &	iNode,
		const bool &	elasticExternalNodes = `true`
	)		const

inline

Compute the area $A$ given the elastic pressure $P_\mathrm{elastic}$ .

To be used in initialization, when time derivative of A is supposed equal to zero.

Parameters

P	elastic pressure
timeStep	the time step
iNode	node of the mesh
elasticExternalNodes	consider elastic the external nodes (neglect viscoelasticity)

Returns: $A = A^0 \left( \displaystyle\frac{P_\mathrm{elastic} - P_\mathrm{ext}}{\beta_0} + 1 \right)^{\left(\displaystyle\frac{1}{\beta_1}\right)}$

Definition at line 404 of file OneDFSIPhysics.hpp.

◆ dAdt()

Real dAdt	(	const Real &	Anp1,
		const Real &	timeStep,
		const UInt &	iNode
	)		const

inline

Compute the derivative of the area with respect to the time using a first order finite difference.

Parameters

Anp1	area at time $t^{n+1}$
timeStep	the time step
iNode	node of the mesh

Returns: $\displaystyle\frac{dA(t)}{dt}$

Definition at line 450 of file OneDFSIPhysics.hpp.

◆ dPdW()

virtual Real dPdW	(	const Real &	W1,
		const Real &	W2,
		const ID &	iW,
		const UInt &	iNode
	)		const

pure virtual

Compute the derivative of pressure with respect to $\mathbf W$ .

Parameters

W1	first Riemann variable
W2	second Riemann variable
iW	Riemann derivative ID (0 for $\displaystyle\frac{dP}{dW_1}$ , 1 or $\displaystyle\frac{dP}{dW_2}$ )
iNode	node of the mesh

Returns: $\displaystyle\frac{dP}{dW_1}$ or $\displaystyle\frac{dP}{dW_2}$

Implemented in OneDFSIPhysicsNonLinear, and OneDFSIPhysicsLinear.

◆ dPdA()

Real dPdA	(	const Real &	A,
		const Real &	timeStep,
		const UInt &	iNode,
		const bool &	elasticExternalNodes = `true`
	)		const

inline

Compute the derivative of the pressure with respect to $A$ .

Parameters

A	area
timeStep	the time step
iNode	node of the mesh
elasticExternalNodes	consider elastic the external nodes (neglect viscoelasticity)

Returns: $\displaystyle\frac{dP(A)}{dA} = \displaystyle\frac{dP_\mathrm{elastic}(A)}{dA} + \displaystyle\frac{dP_\mathrm{viscoelastic}(A)}{dA}$

Definition at line 456 of file OneDFSIPhysics.hpp.

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◆ dPdAelastic()

Real dPdAelastic	(	const Real &	A,
		const UInt &	iNode
	)		const

inline

Compute the derivative of the elastic pressure with respect to $A$ .

Parameters

A	area
iNode	node of the mesh

Returns: $\displaystyle\frac{dP_\mathrm{elastic}(A)}{dA} = \displaystyle\frac{\beta_1 \beta_0 ( \displaystyle\frac{A}{A^0} )^{\beta_1}}{A}$

Definition at line 462 of file OneDFSIPhysics.hpp.

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◆ dPdAviscoelastic()

Real dPdAviscoelastic	(	const Real &	A,
		const Real &	timeStep,
		const UInt &	iNode,
		const bool &	elasticExternalNodes = `true`
	)		const

inline

Compute the derivative of the viscoelastic pressure with respect to $A$ .

Parameters

A	area
timeStep	the time step
iNode	node of the mesh
elasticExternalNodes	consider elastic the external nodes (neglect viscoelasticity)

Returns: $\displaystyle\frac{dP_\mathrm{viscoelastic}(A)}{dA} = \displaystyle\frac{\gamma}{A^{3/2}} \left( \displaystyle\frac{1}{\Delta t} - \displaystyle\frac{dA}{dt} \displaystyle\frac{3}{2A} \right)$

Definition at line 468 of file OneDFSIPhysics.hpp.

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◆ dAdP()

Real dAdP	(	const Real &	P,
		const Real &	timeStep,
		const UInt &	iNode,
		const bool &	elasticExternalNodes = `true`
	)		const

inline

Compute the derivative of the area with respect to $P$ .

Parameters

P	pressure
timeStep	the time step
iNode	node of the mesh
elasticExternalNodes	consider elastic the external nodes (neglect viscoelasticity)

Returns: $\displaystyle\frac{dA(P)}{dP} = \displaystyle\frac{dA(P)}{dP_\mathrm{elastic}} + \displaystyle\frac{dA(P)}{dP_\mathrm{viscoelastic}}$ , with $\displaystyle\frac{dA(P)}{dP_\mathrm{elastic}} = \displaystyle\frac{A^0}{\beta_0 \beta_1} \left( 1 + \displaystyle\frac{ P - P_\mathrm{ext} }{ \beta_0 }\right)^{\displaystyle\frac{1}{\beta_1} - 1}$

Definition at line 481 of file OneDFSIPhysics.hpp.

◆ dPTdU()

Real dPTdU	(	const Real &	A,
		const Real &	Q,
		const Real &	timeStep,
		const ID &	id,
		const UInt &	iNode
	)		const

inline

Compute the derivative of total pressure with respect to $A$ or $Q$ .

Parameters

A	area
Q	flow rate
timeStep	the time step
variable	ID (0 for , 1 or )
iNode	node of the mesh

Returns: $\displaystyle\frac{dP_t}{dA}$ or $\displaystyle\frac{dP_t}{dQ}$

Definition at line 498 of file OneDFSIPhysics.hpp.

◆ celerity0()

Real celerity0 ( const UInt & iNode ) const

inline

Compute the reference celerity.

Parameters

iNode node of the mesh

Returns: reference celerity

Definition at line 518 of file OneDFSIPhysics.hpp.

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◆ pressure()

Real pressure	(	const Real &	A,
		const Real &	timeStep,
		const UInt &	iNode,
		const bool &	elasticExternalNodes = `true`
	)		const

inline

Compute the pressure.

Includes the contribution of the external, elastic and viscoelastic pressure.

Parameters

A	area
timeStep	the time step
iNode	node of the mesh
elasticExternalNodes	consider elastic the external nodes (neglect viscoelasticity)

Returns: $P = P_\mathrm{elastic} + P_\mathrm{viscoelastic} + P_\mathrm{external}$

Definition at line 524 of file OneDFSIPhysics.hpp.

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◆ externalPressure()

const Real& externalPressure ( ) const

inline

Return the external pressure.

Returns: $P_\mathrm{external}$

Definition at line 296 of file OneDFSIPhysics.hpp.

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◆ venousPressure()

const Real& venousPressure ( ) const

inline

Return the venous pressure.

Returns: $P_\mathrm{venous}$

Definition at line 305 of file OneDFSIPhysics.hpp.

◆ elasticPressure()

Real elasticPressure	(	const Real &	A,
		const UInt &	iNode
	)		const

inline

Compute the elastic pressure.

Parameters

A	area
iNode	node of the mesh

Returns: $P_\mathrm{elastic} = \beta_0 \left( \left( \displaystyle\frac{A}{A^0} \right)^{\beta_1} - 1 \right)$

Definition at line 530 of file OneDFSIPhysics.hpp.

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◆ viscoelasticPressure()

Real viscoelasticPressure	(	const Real &	A,
		const Real &	timeStep,
		const UInt &	iNode,
		const bool &	elasticExternalNodes = `true`
	)		const

inline

Compute the viscoelastic pressure.

Parameters

A	area
timeStep	the time step
iNode	node of the mesh
elasticExternalNodes	consider elastic the external nodes (neglect viscoelasticity)

Returns: $P_\mathrm{viscoelastic} = \gamma \displaystyle\frac{1}{2\sqrt{\pi A}} \displaystyle\frac{dA}{dt}$

Definition at line 536 of file OneDFSIPhysics.hpp.

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◆ totalPressure()

Real totalPressure	(	const Real &	A,
		const Real &	Q,
		const UInt &	iNode
	)		const

inline

Compute the total pressure.

Parameters

A	area
Q	flow rate
iNode	node of the mesh

Returns: $P_t = P + \displaystyle\frac{\rho}{2} \left(\displaystyle\frac{Q}{A}\right)^2$

Definition at line 549 of file OneDFSIPhysics.hpp.

◆ setData()

void setData ( const dataPtr_Type & dataPtr )

inline

Set the data container of the problem.

Parameters

dataPtr pointer to the data container of the problem

Definition at line 351 of file OneDFSIPhysics.hpp.

◆ setArea_tn()

void setArea_tn ( const vector_Type & area_tn )

inline

Set the area at time $t^n$ .

This parameter is required for computing the derivative of the area in time.

Parameters

area_tn $A^{n}$

Definition at line 361 of file OneDFSIPhysics.hpp.

◆ data()

dataPtr_Type data ( ) const

inline

Get the data container of the problem.

Returns: shared pointer to the data container of the problem

Definition at line 375 of file OneDFSIPhysics.hpp.

◆ operator=()

OneDFSIPhysics& operator= ( const OneDFSIPhysics & physics )

private

Field Documentation

◆ M_dataPtr

dataPtr_Type M_dataPtr

protected

Definition at line 384 of file OneDFSIPhysics.hpp.

◆ M_previousAreaPtr

vectorPtr_Type M_previousAreaPtr

private

Definition at line 397 of file OneDFSIPhysics.hpp.

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

OneDFSIPhysics.hpp

Protected Attributes

Private Attributes

Type definitions and Enumerators

Constructors & Destructor

Conversion methods

Derivatives methods

Methods

Set Methods

Get Methods

Unimplemented Methods

Detailed Description

Member Typedef Documentation

◆ factoryPhysics_Type

◆ data_Type

◆ dataPtr_Type

◆ vector_Type

◆ vectorPtr_Type

Constructor & Destructor Documentation

◆ OneDFSIPhysics() [1/3]

◆ OneDFSIPhysics() [2/3]

◆ ~OneDFSIPhysics()

◆ OneDFSIPhysics() [3/3]

Member Function Documentation

◆ fromWToU()

◆ fromUToW()

◆ fromWToP()

◆ fromPToW()

◆ fromQToW()

◆ fromPToA()

◆ dAdt()

◆ dPdW()

◆ dPdA()

◆ dPdAelastic()

◆ dPdAviscoelastic()

◆ dAdP()

◆ dPTdU()

◆ celerity0()

◆ pressure()

◆ externalPressure()

◆ venousPressure()

◆ elasticPressure()

◆ viscoelasticPressure()

◆ totalPressure()

◆ setData()

◆ setArea_tn()

◆ data()

◆ operator=()

Field Documentation

◆ M_dataPtr

◆ M_previousAreaPtr