Vortex Flows and Related Numerical Methods II
ESAIM: Proceedings,
Vol. 1, 1996, pp. 295-305
Instability to Longitudinal Vortices
in Wavy Shear Flow
W.R.C. Phillips, Q. Shen and Z. Wu
Department of Theoretical and Applied Mechanics
University of Illinois at Urbana-Champaign
Urbana IL 61801-2935, USA
Abstract
Initially spanwise-independent small but finite-amplitude two-dimensional
rotational waves and their nonlinear interaction with unidirectional
O(1) shear flows are reviewed from the viewpoint of their
instability to longitudinal vortex form. The wave-mean interaction is
described by a generalized Lagrangian-mean formulation in combination with
a separate theory to account for the back effect of the developing mean
flow on the wave field. Both the inviscid and viscid eigenvalue problems
relevant to the instability are discussed.
Vortex Flows and Related
Numerical Methods II
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