Résolution des équations de Navier-Stokes et Détection des bifurcations stationnaires par une Méthode Asymptotique-Numérique

Authors

  • Abdeljalil Tri Laboratoire de Physique et Mécanique des Matériaux, URA CNRS 1215 ISGMP, Université de Metz, Ile du Saulcy, 57045 Metz Cedex 01
  • Bruno Cochelin Laboratoire de Mécanique et Acoustique Ecole Supérieure de Mécanique de Marseille ESM2, /MT, Technopôle de Château-Gombert, 13000 Marseille
  • Michel Potier-Ferry Laboratoire de Physique et Mécanique des Matériaux, URA CNRS 1215 ISGMP, Université de Metz, Ile du Saulcy, 57045 Metz Cedex 01

Keywords:

non-linear computation, perturbation method, finite element method, Navier-Stokes equations, stationary bifurcation

Abstract

Perturbation methods (asymptotic expansions) are usually considered as powerful methods for solving many kinds of non-linear problems. However, these methods are very often applied in a pure/y analytic framework, and the calculation is limited to the first few terms of the series. Since a few years, we have shown thal the combination of perturbation techniques and finite element method can lead to a robust numerical method for some categories of non-linear problems. In this paper, we apply these techniques to compute branches of stationary solutions of Navier-Stokes equations and to detect stationary bifurcations.

 

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Published

1996-04-17

How to Cite

Abdeljalil Tri, Cochelin, B. ., & Potier-Ferry, M. . (1996). Résolution des équations de Navier-Stokes et Détection des bifurcations stationnaires par une Méthode Asymptotique-Numérique. European Journal of Computational Mechanics, 5(4), 415–442. Retrieved from https://journals.riverpublishers.com/index.php/EJCM/article/view/3507

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