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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
engineering
ANM for stationary Navier-Stokes equations and with Petrov-Galerkin formulation
International Journal for Numerical Methods in Engineering, Volume 50, No. 4, Year 2001
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Description
This paper deals with the use of the asymptotic numerical method (ANM) for solving non-linear problems, with particular emphasis on the stationary Navier-Stokes equation and the Petrov-Galerkin formulation. ANM is a combination of a perturbation technique and a finite element method allowing to transform a non-linear problem into a succession of linear ones that admit the same tangent matrix. This method has been applied with success in non-linear elasticity and fluid mechanics. In this paper, we apply the same kind of technique for solving Navier-Stokes equation with the so-called Petrov-Galerkin weighting. The main difficulty comes from the fact that the non-linearity is no more quadratic and it is not evident, in this case, to be able to compute a large number of terms of the perturbation series. Several examples of fluid mechanic are presented to demonstrate the performance of such a method. Copywright © 2001 John Wiley and Sons, Ltd.
Authors & Co-Authors
Cadou, Jean Marc
France, Nancy
Université de Lorraine
Potier-Ferry, Michel
France, Nancy
Université de Lorraine
Cochelin, Bruno
France, Marseille
Laboratoire de Mécanique et D’acoustique
Damil, N.
Morocco, Casablanca
Faculté Des Sciences Ben M’sick
Statistics
Citations: 59
Authors: 4
Affiliations: 3
Identifiers
Doi:
10.1002/1097-0207(20010210)50:4<825::AID-NME53>3.0.CO;2-0
ISSN:
00295981