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A hierarchy of low-dimensional models for the transient and post-transient cylinder wake. (English) Zbl 1067.76033

The authors develop low-dimensional models for an example of cylinder wake. The goal is to combine the strengths of empirical and mathematical Galerkin models with a hybrid approach. The proposed generalized Galerkin model exploits the excellent accuracy of the empirical approach for the reference condition and enhances the range of applicability and robustness due to ingredients of mathematical Galerkin models. The corresponding two-dimensional dynamical systems are reduced to Landau amplitude equation.

MSC:

76D25 Wakes and jets
76M25 Other numerical methods (fluid mechanics) (MSC2010)
37N10 Dynamical systems in fluid mechanics, oceanography and meteorology
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