OneDFSIPhysicsNonLinear - Class providing non linear physical operations for the 1D model data. More...

#include <OneDFSIPhysicsNonLinear.hpp>

Inheritance diagram for OneDFSIPhysicsNonLinear:

Collaboration diagram for OneDFSIPhysicsNonLinear:

Type definitions and Enumerators
typedef OneDFSIPhysics	super

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

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

virtual	~OneDFSIPhysicsNonLinear ()
	Destructor. More...

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

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

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

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

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

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

Unimplemented Methods
	OneDFSIPhysicsNonLinear (const OneDFSIPhysicsNonLinear &physics)

OneDFSIPhysicsNonLinear &	operator= (const OneDFSIPhysicsNonLinear &physics)

Additional Inherited Members
Public Types inherited from OneDFSIPhysics
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

Public Member Functions inherited from OneDFSIPhysics
	OneDFSIPhysics ()
	Empty constructor. More...

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

virtual	~OneDFSIPhysics ()
	Destructor. 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...

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...

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...

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...

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...

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

Protected Attributes inherited from OneDFSIPhysics
dataPtr_Type	M_dataPtr

Detailed Description

OneDFSIPhysicsNonLinear - Class providing non linear 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 63 of file OneDFSIPhysicsNonLinear.hpp.

Member Typedef Documentation

◆ super

typedef OneDFSIPhysics super

Definition at line 70 of file OneDFSIPhysicsNonLinear.hpp.

Constructor & Destructor Documentation

◆ OneDFSIPhysicsNonLinear() [1/3]

OneDFSIPhysicsNonLinear ( )

inlineexplicit

Empty constructor.

Definition at line 79 of file OneDFSIPhysicsNonLinear.hpp.

Here is the caller graph for this function:

◆ OneDFSIPhysicsNonLinear() [2/3]

OneDFSIPhysicsNonLinear ( const dataPtr_Type dataPtr )

inlineexplicit

Constructor.

Parameters

dataPtr pointer to the data container of the problem

Definition at line 85 of file OneDFSIPhysicsNonLinear.hpp.

◆ ~OneDFSIPhysicsNonLinear()

virtual ~OneDFSIPhysicsNonLinear ( )

inlinevirtual

Destructor.

Definition at line 88 of file OneDFSIPhysicsNonLinear.hpp.

◆ OneDFSIPhysicsNonLinear() [3/3]

OneDFSIPhysicsNonLinear ( const OneDFSIPhysicsNonLinear & physics )

explicitprivate

Member Function Documentation

◆ fromUToW()

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

virtual

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

Riemann Invariants corresponding to data (Q, A) at node iNode W1,2 = (Q / A) +- (2 / beta1) * sqrt(chi) * (celerity - celerity0) being chi the correction coefficient proposed by A. Robertson and H. Zakaria

Parameters

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

Implements OneDFSIPhysics.

Definition at line 51 of file OneDFSIPhysicsNonLinear.cpp.

◆ fromWToU()

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

virtual

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

Physical variables corresponding to (W1, W2) at node iNode A = A0 * ( rho / (beta0 * beta1) )^(1/beta1)

( beta1 / (4 * sqrt(chi) ) * (W1 - W2) + celerity0 )^(2/beta1)

Q = A (W1 + W2) / 2

Parameters

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

Implements OneDFSIPhysics.

Definition at line 64 of file OneDFSIPhysicsNonLinear.cpp.

◆ fromWToP()

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

virtual

Compute $P$ from $\mathbf W$ .

Parameters

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

Returns: P = beta0 * ( rho / (beta0 * beta1) * ( beta1 / (4 * sqrt(chi)) * (W1 - W2) + celerity0 )^2 - 1 )

Implements OneDFSIPhysics.

Definition at line 78 of file OneDFSIPhysicsNonLinear.cpp.

◆ fromPToW()

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

virtual

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

W1 - W2 = (4 * sqrt(chi) / beta1) * sqrt( beta0 * beta1 / rho ) ) * ( sqrt( P / beta0 + 1 ) - 1 ) W1 - W2 = 4 * sqrt( beta0 / (beta1 * rho ) ) * ( sqrt( P / beta0 + 1 ) - 1 )

Parameters

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

Returns: the other Riemann variable

Implements OneDFSIPhysics.

Definition at line 89 of file OneDFSIPhysicsNonLinear.cpp.

◆ fromQToW()

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

virtual

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

( W1 - W2 + celerity0/K0 )^(2/beta1) * ( W1 + W2 ) = Q / K1

where

K0 = beta1 / ( 4 * sqrt(chi) ) K1 = A0 / 2 * ( rho / (beta0*beta1) )^(1/beta1) * K0^(2/beta1)

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

Implements OneDFSIPhysics.

Definition at line 121 of file OneDFSIPhysicsNonLinear.cpp.

◆ dPdW()

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

virtual

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

dP(W1,W2)/dW_1 = rho / (2 * sqrt(chi)) * ( beta1 / (4 * sqrt(chi)) * (W1 - W2) + celerity0 ) dP(W1,W2)/dW_2 = - rho / (2 * sqrt(chi)) * ( beta1 / (4 * sqrt(chi)) * (W1 - W2) + celerity0 )

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 $\displaystyle\frac{dP}{dW_2}$

dP/dW1

dP/dW2

Implements OneDFSIPhysics.

Definition at line 164 of file OneDFSIPhysicsNonLinear.cpp.

◆ operator=()

OneDFSIPhysicsNonLinear& operator= ( const OneDFSIPhysicsNonLinear & physics )

private

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

Type definitions and Enumerators

Constructors & Destructor

Conversion methods

Derivatives methods

Unimplemented Methods

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ super

Constructor & Destructor Documentation

◆ OneDFSIPhysicsNonLinear() [1/3]

◆ OneDFSIPhysicsNonLinear() [2/3]

◆ ~OneDFSIPhysicsNonLinear()

◆ OneDFSIPhysicsNonLinear() [3/3]

Member Function Documentation

◆ fromUToW()

◆ fromWToU()

◆ fromWToP()

◆ fromPToW()

◆ fromQToW()

◆ dPdW()

◆ operator=()