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
Abstract:
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 |
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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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