The effects of random surface waves on the steady Ekman current solutions

2009 ◽  
Vol 56 (5) ◽  
pp. 659-671 ◽  
Author(s):  
Jin-Bao Song
2006 ◽  
Vol 36 (3) ◽  
pp. 551-557 ◽  
Author(s):  
Fabrice Ardhuin ◽  
Alastair D. Jenkins

Abstract The phase-averaged energy evolution for random surface waves interacting with oceanic turbulence is investigated. The change in wave energy balances the change in the production of turbulent kinetic energy (TKE). Outside the surface viscous layer and the bottom boundary layer the turbulent flux is not related to the wave-induced shear so that eddy viscosity parameterizations cannot be applied. Instead, it is assumed that the wave motion and the turbulent fluxes are not correlated on the scale of the wave period. Using a generalized Lagrangian average it is found that the mean wave-induced shears, despite zero vorticity, yield a production of TKE as if the Stokes drift shear were a mean flow shear. This result provides a new interpretation of a previous derivation from phase-averaged equations by McWilliams et al. It is found that the present source or sink of wave energy is smaller but is still on the order of the empirically adjusted functions used for the dissipation of swell energy in operational wave models, as well as observations of that phenomenon by Snodgrass et al.


1977 ◽  
Vol 82 (3) ◽  
pp. 561-581 ◽  
Author(s):  
S. Leibovich

A recent theoretical description of interactions between surface waves and currents in the ocean is extended to allow density stratification. The interaction leads to a convective instability even when the density stratification is statically stable. An unspecified random surface wave field is permitted provided that it is statistically stationary.The instability can be traced to torques produced by variations of a ‘vortex force’. Non-diffusive instabilities produced by this mechanism in water of infinite depth are explored in detail for arbitrary distributions of the destabilizing force. Stability is determined by an eigenvalue problem formally identical to that determining normal modes of infinitesimal internal waves in fluid with a density profile that is not monotone and thereby has a statically unstable region. Some tentative remarks are offered about the problem when dissipation is allowed.Application of the present theory to Langmuir circulations is discussed. Also, according to the present theory, internal wave propagation should be modified by the vortex force arising from the interaction between the surface waves and the current.


1998 ◽  
Vol 08 (PR7) ◽  
pp. Pr7-317-Pr7-326 ◽  
Author(s):  
O. A. Ivanov ◽  
A. M. Gorbachev ◽  
V. A. Koldanov ◽  
A. L. Kolisko ◽  
A. L. Vikharev

1988 ◽  
Vol 49 (C8) ◽  
pp. C8-1695-C8-1696 ◽  
Author(s):  
J. R. Cullen ◽  
K. B. Hathaway

1997 ◽  
Vol 167 (7) ◽  
pp. 735-750 ◽  
Author(s):  
Yurii V. Gulyaev ◽  
Igor E. Dikshtein ◽  
Vladimir G. Shavrov

Jurnal Segara ◽  
2012 ◽  
Vol 8 (1) ◽  
pp. 1 ◽  
Author(s):  
Rita Tisiana Dwi Kuswardani ◽  
Fangli Qiao

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