2004-Fez conference on Differential Equations and Mechanics. Electron. J. Diff. Eqns., Conference 11, 2004, pp. 95-102.

Green's functions and closing in pressure in partially nonhomogeneous turbulence

Mohammed Oucamah Cherkaoui Malki, Omari Alaoui Elkebir

In this work, we are interested with the numerical solution of the equations of the correlations -or moment of order two - associated with the Navier-Stokes equations. The method of closing in pressure which is based on the elimination of the terms of pressure present in these equations by using the functions of Green, is completely re-examined. We underline the Green's functions divergence problems which occurred with the traditional method of closing. Then we establish a new formalism which makes it possible to circumvent these problems. We present and confront in the course of our presentation two methods of construction of Green's functions according to the choice of the boundary conditions, namely the method of images and the spectral method.

Published October 15, 2004.
Math Subject Classifications: 65Z05, 65R10, 65R32, 76F55.
Key Words: Navier-Stokes; nonlinearity; Green's function; quasi spectral analysis; mathematical formalism; 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
E. Omari Alaoui
Laboratoire de Mécanique des fluides
Département de Physique
Faculté des Sciences Dhar Mehraz
B.P. 1796 Fès-Atlas Morocco
email: cherkaouimmo@hotmail.com

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