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Mean effects of turbulence on elliptic instability in fluids
Bruce R Fabijonas1, Darryl D Holm
1Department of Mathematics, Southern Methodist University, Dallas, Texas 75275, USA.
Physical Review Letters
|April 12, 2003
Abstract:
Elliptic instability in fluids is discussed in the context of the Lagrangian-averaged Navier-Stokes-alpha (LANS-alpha) turbulence model. This model preserves the Craik-Criminale (CC) family of solutions consisting of a columnar eddy and a Kelvin wave. The LANS-alpha model is shown to preserve elliptic instability. However, the model shifts the critical stability angle. This shift increases (decreases) the maximum growth rate for long (short) waves. It also introduces a band of stable CC solutions for short waves.