Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
519799 | Journal of Computational Physics | 2011 | 16 Pages |
This paper deals with the computation of steady bifurcations in the framework of 2D incompressible Navier–Stokes flow. We first propose a numerical method to accurately detect the critical Reynolds number where this kind of bifurcation appears. From this singular value, we introduce a numerical tool to compute all the steady bifurcated branches. All these algorithms are based on the Asymptotic Numerical Method [1] and [2]. The critical values are determined by using a bifurcation indicator [3], [4] and [5] and the bifurcated branches are computed by using an augmented system which was first introduced in solid mechanics [4] and [6]. Several numerical examples from 2D Navier–Stokes show the reliability and the efficiency of the proposed methods.