Nonlinear dynamics and pattern formation in turbulent wake transition. (English) Zbl 0903.76070

Results are reported on direct numerical simulations of transition from two-dimensional to three-dimensional states due to secondary instability in the wake of a circular cylinder. These calculations quantify the nonlinear response of the system to three-dimensional perturbations near threshold for the two separate linear instabilities of the wake: mode A and mode B. The objectives are to classify the nonlinear form of the bifurcation to mode A and mode B and to identify the conditions under which the wake evolves to periodic, quasi-periodic, or chaotic states with respect to changes in spanwise dimension and Reynolds number.


76M25 Other numerical methods (fluid mechanics) (MSC2010)
76F10 Shear flows and turbulence
76D25 Wakes and jets
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