Self-sustained oscillations in homogeneous shear flow

Details Self-sustained oscillations in homogeneous shear flow Self-sustained oscillations in homogeneous shear flow

2002-06-27

arxiv.org/abs/nlin/0206047v1

Nonlinear Sciences

Chaotic Dynamics

10 pages 6 figures

Scientific paper

10.1063/1.1536973

Generation of the large-scale coherent vortical structurs in homogeneous shear flow couples dynamical processes of energy and enstrophy production. In the large rate of strain limit, the simple estimates of the contributions to the energy and enstrophy equations result in a dynamical system, describing experimentally and numerically observed self-sustained non-linear oscillations of energy and enstrophy. It is shown that the period of these oscilaltions is independent upon the box size and the energy and enstrophy fluctuations are strongly correlated.

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