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A low-dimensional model for simulating three-dimensional cylinder flow. (English) Zbl 1001.76043

Summary: We investigate the stability and dynamics of three-dimensional limit-cycle states in a flow past circular cylinder using low-dimensional modelling. High-resolution direct numerical simulations are employed to obtain flow snapshots from which the most energetic modes are extracted using proper orthogonal decomposition. We show that the limit cycle is reproduced very accurately with only twenty three-dimensional modes. The addition of two-dimensional modes to Karhunen-Loeve expansion basis improves the ability of the model to capture three-dimensional bifurcations, including the discontinuity in Strouhal number discovered experimentally.

MSC:

76F20 Dynamical systems approach to turbulence
76D25 Wakes and jets
76E99 Hydrodynamic stability
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