Skip to Main content Skip to Navigation
Journal articles

Spectral Procedure with Diagonalization of Operators for 2D Navier-Stokes and Heat Equations in Cylindrical Geometry

Abstract : We present in this paper a spectral method for solving a problem governed by Navier-Stokes and heat equations. The Fourier-Chebyshev technique in the azimuthal direction leads to a system of Helmholtz equations. The Collocation-Chebyshev method in the radial direction has been used for the simulation of these equations. The Crank-Nicholson scheme is employed to solve the Helmholtz systems obtained for wide ranges of parameters, and its efficiency is considerably improved by diagonalization of the obtained operators. The results are in a very good agreement with the experimental data available in the literature.
Document type :
Journal articles
Complete list of metadata

Cited literature [6 references]  Display  Hide  Download

https://hal.inria.fr/hal-01263492
Contributor : Coordination Episciences Iam <>
Submitted on : Wednesday, January 27, 2016 - 5:35:40 PM
Last modification on : Wednesday, October 30, 2019 - 4:34:07 PM
Long-term archiving on: : Thursday, April 28, 2016 - 11:31:47 AM

File

arima00511.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-01263492, version 1

Collections

Citation

Emahdi El Guarmah, Abdelkhalek Cheddadi, Mejdi Azaier. Spectral Procedure with Diagonalization of Operators for 2D Navier-Stokes and Heat Equations in Cylindrical Geometry. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2006, 5, pp.144-157. ⟨hal-01263492⟩

Share

Metrics

Record views

192

Files downloads

1042