On wave-current interaction theories of Langmuir circulations

Author:

Leibovich S.

Abstract

The Craik–Leibovich (CL) equations for Langmuir circulations are shown to be an Eulerian approximation to an exact theory of the generalized Lagrangian mean (GLM) due to Andrews and McIntyre. Derivation of the CL equations using the GLM formalism is decisively simpler than the original method. The CL theory is then compared to other wave–current interaction theories of Langmuir circulations, notably those of Garrett and of Moen.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference17 articles.

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2. Craik, A. D. D. 1970 A wave-interaction model for the generation of windrows.J. Fluid Mech. 41,801–821.

3. Andrews, D. G. & McIntyre, M. E. 1978 An exact theory of nonlinear waves on a Lagrangianmean flow.J. Fluid Mech. 89,609–646.

4. Craik, A. D. D. & Leibovich, S. 1976 A rational model for Langmuir circulations.J. Fluid Mech. 73,401–426.

5. Leibovich, S. & Paolucci, S. 1980 The Langmuir circulation instability as a mixing mechanism in the upper ocean.J. Phys. Oceanogr. (to appear).

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