2004-Fez conference on Differential Equations and Mechanics. Electron. J. Diff. Eqns., Conference 11, 2004, pp. 103-108.

Quasi spectral data construction in two points in Partially nonhomogeneous turbulence

Mohammed oucamah Cherkaoui Malki, Salaheddine Sayouri

In this work, we study the numerical solution of the equations of correlations -or moment of order two - associated with the Navier-Stokes equations. We treat the spectral transformations of these equations by admitting directions of homogeneities; the problem of finding suitable initial conditions within the framework of the numerical resolution and the writing in two points is dealt with. We provide a new method of construction of these initial conditions in an intermediate space between physical space and spectral space (quasi spectral space). This original method departs from the formalism known in the homogeneous case and takes into account the presence of the walls. It is all the more interesting as the experimental data never give enough point of calculation making it possible to obtain these quantities in a quasi spectral space.

Published October 15, 2004.
Math Subject Classifications: 65Z05, 65R10, 76F55, 42B99.
Key Words: Navier-Stokes; nonlinearity; Green's function; mathematical formalism; quasi spectral analysis; data construction.

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M. O. Cherkaoui Malki
Laboratoire d'informatique
Département de Mathématiques et Informatique
Faculté des Sciences Dhar Mehraz
B. P. 1796 Fès-Atlas Morocco
email: cherkaouimmo@hotmail.com
  Salaheddine Sayouri
LPTA, Département de Physique
Faculté des Sciences Dhar Mehraz
B. P. 1796 Fès-Atlas Morocco
email: ssayouri@yahoo.com

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