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• W1973895538 abstract "This work deals with the computation of steady bifurcation points in 2D incompressible Newtonian fluid flows. The problem is modeled with the Navier–Stokes equations with an evolving geometric parameter. The aim of the present study is to propose a reliable and efficient numerical method for parametric steady bifurcation calculations. The numerical algorithm is based on the coupling of a continuation method with a homotopy technique. The continuation method lies on the asymptotic numerical method with Padé approximants for an initial linear stability analysis with an initial geometric configuration. The homotopy technique completes the calculation with the computation of critical Reynolds numbers for different discrete values of the geometric parameter. Two classical numerical problems are approached. The first one is the flow in sudden expansion. The geometric parameter is the height of the expansion inlet. The second problem is the flow in a divergent/convergent channel. In this case, the geometric parameter is the length of the channel. Comparisons of results with those obtained from the literature are performed, showing the efficiency of the proposed algorithm. The aim of this study is to determine the critical Reynolds numbers of the flow using few computations for each geometric parameter." @default.
• W1973895538 created "2016-06-24" @default.
• W1973895538 creator A5000895185 @default.
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• W1973895538 date "2014-09-01" @default.
• W1973895538 modified "2023-09-26" @default.
• W1973895538 title "Parametric analysis of steady bifurcations in 2D incompressible viscous flow with high order algorithm" @default.
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• W1973895538 doi "https://doi.org/10.1016/j.compfluid.2014.04.032" @default.
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