Definition of the functions in class Solide. Specific coupling procedures are preceded by a "warning" sign. More...

#include "solide.hpp"
#include "intersections.hpp"
#include <iostream>

Data Structures
struct	Mat3x3

struct	Vect3

Macros
#define	SOLIDE_CPP

Functions
double	signe (const double x)
	Sign function. More...

void	rot (Mat3x3 &a, const double s, const double tau, const int i, const int j, const int k, const int l)
	Function rot for subroutine jacobi3x3. More...

void	jacobi3x3 (Mat3x3 &a, Vect3 &d, Mat3x3 &v, int &nrot)
	Diagonalization of a 3x3 matrix a using Jacobi's method. More...

double	Error (Solide &S1, Solide &S2)
	Compute the error for the semi-implicit scheme. More...

void	Copy_f_m (Solide &S1, Solide &S2)
	Copy values of fluid forces Ff and torques Mf from S2 to S1. More...

bool	inside_box (const Bbox &cell, const Point_3 &P)
	Check whether point P is in the Bbox cell. More...

bool	inside_convex_polygon (const Particule &S, const Point_3 &P)
	Check whether point P is inside the convex polygon S. More...

bool	box_inside_convex_polygon (const Particule &S, const Bbox &cell)
	Check whether cell is fully contained in S. More...

bool	box_inside_tetra (const Tetrahedron &tetra, const Bbox &cell)
	Check whether cell is fully contained in tetra. More...

Variables
const double	eps_relat =0.000001

Detailed Description

Definition of the functions in class Solide. Specific coupling procedures are preceded by a "warning" sign.

Authors: Laurent Monasse and Maria Adela Puscas

Macro Definition Documentation

#define SOLIDE_CPP

Function Documentation

bool box_inside_convex_polygon	(	const Particule &	S,
		const Bbox &	cell
	)

Check whether cell is fully contained in S.

Returns true if cell is fully contained in S and false otherwise.

Parameters

S	Particule
cell	Bbox

Warning: Specific coupling procedure !

Returns: bool

bool box_inside_tetra	(	const Tetrahedron &	tetra,
		const Bbox &	cell
	)

Check whether cell is fully contained in tetra.

Returns true if cell is fully contained in tetra and false otherwise.

Parameters

tetra	Tetrahedron
cell	Bbox

Warning: Specific coupling procedure !

Returns: bool

void Copy_f_m	(	Solide &	S1,
		Solide &	S2
	)

Copy values of fluid forces Ff and torques Mf from S2 to S1.

Function used in the semi-implicit scheme fixed-point procedure.

Parameters

S1	Solide at time t
S2	Solide at iteration k of the fixed-point procedure

Warning: Specific coupling procedure !

Returns: void

double Error	(	Solide &	S1,
		Solide &	S2
	)

Compute the error for the semi-implicit scheme.

The function is used as a stopping criterion in the semi-implicit scheme:

$\begin{eqnarray*} error = max( \, \Vert S1.solide[i].Dx - S2.solide[i].Dx \, \Vert_{\infty} + h_{max} \Vert \, S1.solide[i].e - S2.solide[i].e \, \Vert_{\infty})_i \end{eqnarray*}$

$\begin{eqnarray*} h_{max}=& max(abs(S1.max\_x - S1.min\_x),abs(S1.max\_y - S1.min\_y), \\ & abs(S1.max\_z - S1.min\_z), abs(S2.max\_x - S2.min\_x),\\ & abs(S2.max\_y - S2.min\_y),abs(S2.max\_z - S2.min\_z)). \end{eqnarray*}$

Parameters

S1	Solide at iteration k of the fixed-point procedure
S2	Solide at iteration k-1 of the fixed-point procedure

Warning: Specific coupling procedure !

Returns: double

bool inside_box	(	const Bbox &	cell,
		const Point_3 &	P
	)

Check whether point P is in the Bbox cell.

Returns true if P is inside cell and false otherwise.

Parameters

cell	Bbox
P	Point_3

Warning: Specific coupling procedure !

Returns: bool

bool inside_convex_polygon	(	const Particule &	S,
		const Point_3 &	P
	)

Check whether point P is inside the convex polygon S.

Returns true if P is inside S and false otherwise.

Parameters

S	Particule
P	Point_3

Warning: Specific coupling procedure !

Returns: bool

void jacobi3x3	(	Mat3x3 &	a,
		Vect3 &	d,
		Mat3x3 &	v,
		int &	nrot
	)

Diagonalization of a 3x3 matrix a using Jacobi's method.

taken from Numerical Recipes C++

Parameters

a	Matrix diagonalized
d	Eigenvalues diagonal
v	Eigenvector matrix
nrot	Number of Jacobi iterations

void rot	(	Mat3x3 &	a,
		const double	s,
		const double	tau,
		const int	i,
		const int	j,
		const int	k,
		const int	l
	)

inline

Function rot for subroutine jacobi3x3.

double signe ( const double x )

inline

Sign function.

Variable Documentation

const double eps_relat =0.000001

Data Structures

Macros

Functions

Variables

Detailed Description

Macro Definition Documentation

Function Documentation

Variable Documentation