On wave-current interaction theories of Langmuir circulations

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.

[1]  S. Paolucci,et al.  The Langmuir Circulation Instability as a Mixing Mechanism in the Upper Ocean , 1980 .

[2]  N. Huang.  On surface drift currents in the ocean , 1979, Journal of Fluid Mechanics.

[3]  D. G. Andrews,et al.  An exact theory of nonlinear waves on a Lagrangian-mean flow , 1978, Journal of Fluid Mechanics.

[4]  A. Faller.  Experiments with Controlled Langmuir Circulations , 1978, Science.

[5]  Sidney Leibovich,et al.  Convective instability of stably stratified water in the ocean , 1977, Journal of Fluid Mechanics.

[6]  A. Craik,et al.  The generation of Langmuir circulations by an instability mechanism , 1977, Journal of Fluid Mechanics.

[7]  S. Leibovich,et al.  On the evolution of the system of wind drift currents and Langmuir circulations in the ocean. Part 2. Structure of the Langmuir vortices , 1977, Journal of Fluid Mechanics.

[8]  Sidney Leibovich,et al.  On the evolution of the system of wind drift currents and Langmuir circulations in the ocean. Part 1. Theory and averaged current , 1977, Journal of Fluid Mechanics.

[9]  S. Leibovich,et al.  A rational model for Langmuir circulations , 1976, Journal of Fluid Mechanics.

[10]  S. Leibovich,et al.  A note on the growth of small‐scale Langmuir circulations , 1972 .

[11]  K. Hasselmann.  Wave‐driven inertial oscillations , 1970 .

[12]  A. Craik.  A wave-interaction model for the generation of windrows , 1970, Journal of Fluid Mechanics.

[13]  X. Ren,et al.  Mathematics , 1935, Nature.

[14]  O. Phillips.  The dynamics of the upper ocean , 1966 .