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Nonlinear synchronization in open flows

Benoît PIER and Patrick HUERRE

LadHyX, École polytechnique - CNRS, 91128 Palaiseau Cedex, France

Journal of Fluids and Structures 15, 471–480 (2001)

Abstract:

The selection criteria governing finite-amplitude synchronized oscillating states are discussed for model systems and real wake flows in a domain of infinite streamwise extent. Two types of nonlinear global modes are possible: hat modes with overall smoothly varying amplitude and elephant modes with a sharp front. The vortex street in wake flows is of elephant type, as observed in direct numerical simulations of a real spatially developing wake. Furthermore, the elephant frequency selection criterion is in excellent agreement with the numerically determined vortex shedding frequency.

doi:10.1006/jfls.2000.0349

hal-00119923

2001c_pier_jfs.pdf

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