Multivac::CFireModel< T > Class Template Reference

The speed rate is given by the model proposed Fendell and Wolff. More...

#include <firemodel.hxx>

Inheritance diagram for Multivac::CFireModel< T >:

List of all members.

Public Member Functions
	CFireModel () throw ()
	Default constructor.
	CFireModel (T U_, T m_, T c_1_, T epsilon_0_, T a_, T b_, T epsilon_1_) throw ()
	Main constructor.
	~CFireModel () throw ()
	Destructor.
virtual void	Init (CMesh< T > &Mesh)
	Initializes speed function: memory allocation.
virtual T	operator() (T x, T y, T time) const
	Returns speed rate at some point.
virtual T	operator() (T x, T y, T time, T nx, T ny, T curvature) const
	Returns speed rate at some point.
virtual T	GetMaxF1 (T Xmin, T Xmax, T Ymin, T Ymax, T norm2) const
virtual T	GetMaxF2 (T Xmin, T Xmax, T Ymin, T Ymax, T norm2) const
virtual T	GetDerivatives (T x, T y, T nx, T ny, T t, T &dFdp, T &dFdx, T &dFdy, T &dFdnx, T &dFdny) const
virtual T	Get2ndDerivatives (T x, T y, T nx, T ny, T t, T &dFdpdp, T &dFdpdx, T &dFdpdy, T &dFdpdnx, T &dFdpdny, T &dFdxdx, T &dFdxdy, T &dFdxdnx, T &dFdxdny, T &dFdydy, T &dFdydnx, T &dFdydny, T &dFdnxdnx, T &dFdnxdny, T &dFdnydny) const
void	SetRate (T new_parameter)
Protected Attributes
T	U
	Magnitude of the wind velocity.
T	m
	Parameter (for v_f).
T	c_1
	Parameter (for v_f).
T	epsilon_0
	Parameter (for v_f, epsilon and beta).
T	a
	Parameter (for beta).
T	b
	Parameter (for beta).
T	epsilon_1
	Parameter (for epsilon).

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Detailed Description

template<class T>
class Multivac::CFireModel< T >

The speed rate is given by the model proposed Fendell and Wolff.

The speed rate is defined as follows:

theta is the angle between the normal to the front and

the wind direction.

If |theta| < pi / 2

F(U, theta) = v_f(U cos(theta)) + beta(U sin^mu(theta))

else

F(U, theta) = beta(U sin^mu(theta)) + epsilon(U cos^2(theta)).

where v_f defines the speed rate at the head of the front,

beta defines the speed rate at the flank, and

epsilon is the speed rate at the rear.

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Constructor & Destructor Documentation

template<class T> Multivac::CFireModel< T >::CFireModel (   )  throw ()

Default constructor. Warning: Nothing is defined.

template<class T> Multivac::CFireModel< T >::CFireModel (  T  U_, T  m_, T  c_1_, T  epsilon_0_, T  a_, T  b_, T  epsilon_1_ )  throw ()

Main constructor. Initializes the object with given parameters. Parameters: U_  magnitude of wind velocity (for v_f). m_  parameter (for v_f). c_1_  parameter (for v_f). epsilon_0_  parameter (for v_f, epsilon and beta). a_  parameter (for beta). b_  parameter (for beta). epsilon_1_  parameter (for epsilon). CFL_  CFL number. coeff_  correction to the CFL number.

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Member Function Documentation

template<class T> T Multivac::CFireModel< T >::Get2ndDerivatives (  T  x, T  y, T  nx, T  ny, T  t, T &  dFdpdp, T &  dFdpdx, T &  dFdpdy, T &  dFdpdnx, T &  dFdpdny, T &  dFdxdx, T &  dFdxdy, T &  dFdxdnx, T &  dFdxdny, T &  dFdydy, T &  dFdydnx, T &  dFdydny, T &  dFdnxdnx, T &  dFdnxdny, T &  dFdnydny )  const [inline, virtual]

Returns speed rate and second derivatives at some point. Parameters: x  abscissa. y  ordinate. nx  normal fisrt-coordinate. ny  normal second-coordinate. t  date. Returns: The speed rate at (x, y). Implements Multivac::CSpeedFunction< T >.

template<class T> T Multivac::CFireModel< T >::GetDerivatives (  T  x, T  y, T  nx, T  ny, T  t, T &  dFdp, T &  dFdx, T &  dFdy, T &  dFdnx, T &  dFdny )  const [inline, virtual]

Returns speed rate and derivatives at some point. Parameters: x  abscissa. y  ordinate. nx  normal fisrt-coordinate. ny  normal second-coordinate. t  date. dFdp  partial derivative of F with respect to p. dFdx  partial derivative of F with respect to x. dFdy  partial derivative of F with respect to y. dFdnx  partial derivative of F with respect to nx. dFdny  partial derivative of F with respect to ny. Returns: The speed rate at (x, y). Implements Multivac::CSpeedFunction< T >.

template<class T> T Multivac::CFireModel< T >::GetMaxF1 (  T  DxMin, T  DxMax, T  DyMin, T  DyMax, T  norm2 )  const [inline, virtual]

Returns an upper bound of the maximum (absolute value) of the first derivative of F with respect to Phi_x, where Phi_x = d(Phi)/dx, multiplied by | Phi|_2, i.e. max | F_{Phi_x} | Phi|_2 |. Returns this bound on [DxMin, DxMax] x [DyMin, DyMax]. Parameters: DxMin  minimum of Phi_x. DxMax  maximum of Phi_x. DyMin  minimum of Phi_y. DyMax  maximum of Phi_y. norm2  an upper bound of | Phi|_2. Returns: An upper bound of the maximum (absolute value) of the first derivative of F with respect to Phi_x, multiplied by | Phi|_2. Implements Multivac::CSpeedFunction< T >.

template<class T> T Multivac::CFireModel< T >::GetMaxF2 (  T  DxMin, T  DxMax, T  DyMin, T  DyMax, T  norm2 )  const [inline, virtual]

Returns an upper bound of the maximum (absolute value) of the first derivative of F with respect to Phi_y, where Phi_y = d(Phi)/dy, multiplied by | Phi|_2, i.e. max | F_{Phi_y} | Phi|_2 |. Returns this bound on [DxMin, DxMax] x [DyMin, DyMax]. Parameters: DxMin  minimum of Phi_x. DxMax  maximum of Phi_x. DyMin  minimum of Phi_y. DyMax  maximum of Phi_y. norm2  an upper bound of | Phi|_2. Returns: An upper bound of the maximum (absolute value) of the first derivative of F with respect to Phi_y, multiplied by | Phi|_2. Implements Multivac::CSpeedFunction< T >.

template<class T> void Multivac::CFireModel< T >::Init (  CMesh< T > &  Mesh  )  [inline, virtual]

Initializes speed function: memory allocation. Allocates memory to store speed rates. Parameters: Mesh  orthogonal mesh. Implements Multivac::CSpeedFunction< T >.

template<class T> T Multivac::CFireModel< T >::operator() (  T  x, T  y, T  time, T  nx, T  ny, T  curvature )  const [inline, virtual]

Returns speed rate at some point. Parameters: x  abscissa. y  ordinate. time  time. nx  normal fisrt-coordinate. ny  normal second-coordinate. curvature  curvature. Returns: The constant speed rate. Implements Multivac::CSpeedFunction< T >.

template<class T> T Multivac::CFireModel< T >::operator() (  T  x, T  y, T  time )  const [inline, virtual]

Returns speed rate at some point. Parameters: x  abscissa. y  ordinate. Returns: The constant speed rate. Warning: Undefined function (because the speed function cannot be computed from only x and y). Implements Multivac::CSpeedFunction< T >.

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

• /home/vivien/codes/Multivac-1.9/includes/speedfunctions/firemodel.hxx
• /home/vivien/codes/Multivac-1.9/includes/speedfunctions/firemodel.cxx

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