ALEA::LORENTZ
Arguments: xinit yinit zinit a r c dt pas [generic-function]
Lorentz's equation system :
dx= -ax + ay dy= Rx - y - xz dz= -cz + xy These equations give an approximate description of a fluid layer heated from below. The warm fluid which is below is lighter, and thus tends to rise. This creates a convection movement. If the temperature difference between the top and bottom is sufficiently large, the convection will be turbulent and irregular. The parameter R is propor-tional to the temperature difference, this is referred to as the Reynolds number. The parameter a is the Prandtl number. - xinit, yinit and zinit are the initial coordinates; - pas is the number of iterations, or generated points; - dt is a value of time for the numerical integration in the equations. The output of this module is a [[list]] of coordinates in three dimensions : ((xinit yinit zinit) (x0 y0 z0 ) (x1 x2 x3 ) ... (xn yn zn )).
