A numerical method for the computation of bifurcation points in fluids mechanics

Jean-Marc Cadou (1) , Michel Potier-Ferry (2) , Bruno Cochelin (3)

1 IRDL - Institut de Recherche Dupuy de Lôme
2 LPMM - Laboratoire de physique et mécanique des matériaux
3 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]

Two original algorithms are proposed for the computation of bifurcation points in fluid mechanics. These algorithms consist of finding the zero values of a specific indicator. To compute this indicator a perturbation method is used which leads to an analytical expression of this indicator. Two kinds of instability are considered: stationary and Hopf bifurcations. To prove the efficiency and advantages of such numerical methods several numerical tests are discussed.

Mots clés: Bifurcation indicators; Hopf bifurcation; Asymptotic numerical method

Domaines: Vibrations [physics.class-ph]

Jean-Marc Cadou, Michel Potier-Ferry, Bruno Cochelin. A numerical method for the computation of bifurcation points in fluids mechanics. European Journal of Mechanics - B/Fluids, 2006, 25, pp.234-254. ⟨10.1016/j.euromechflu.2005.07.002⟩. ⟨hal-00089043⟩