Aiki, Hidenori and Greatbatch, Richard John (2012) Thicknessweighted mean theory for the effect of surface gravity waves on mean flows in the upper ocean Journal of Physical Oceanography, 42 . pp. 725747. DOI 10.1175/JPOD11095.1.

Text
JPOD11095.pdf  Accepted Version Download (1027Kb) 


Text
aiki_greatbatch12.pdf  Published Version Download (916Kb) 
Abstract
The residual effect of surface gravity waves on mean flows in the upper ocean is investigated using thickness weighted mean (TWM) theory applied in a vertically Lagrangian and horizontally Eulerian coordinate system. Depthdependent equations for the conservation of volume, momentum, and energy are derived. These equations allow for (i) finite amplitude fluid motions, (ii) the horizontal divergence of currents and (iii) a concise treatment of both the kinematic and viscous boundary conditions at the sea surface. Under the assumptions of steady and monochromatic waves and a uniform turbulent viscosity, the TWM momentum equations are used to illustrate the pressure and viscosityinduced momentum fluxes through the surface that are implicit in previous studies of the waveinduced modification of the classical Ekman spiral problem. The TWM approach clarifies, in particular, the surface momentum flux associated with the socalled virtual wave stress of LonguetHiggins. Overall the TWM framework can be regarded as an alternative to the threedimensional Lagrangian mean framework of Pierson. Moreover the TWM framework can be used to include the residual effect of surface waves in largescale circulation models. In specific models that carry the TWM velocity appropriate for advecting tracers as their velocity variable, the turbulent viscosity term should be modified so that the viscosity acts only on the Eulerian mean velocity.
Document Type:  Article 

Keywords:  Oceanography; Gravity waves; Lagrangian circulation/transport; Waves, oceanic; Wind waves; Isopycnal coordinates; Vertical coordinates 
Research affiliation:  OceanRep > GEOMAR > FB1 Ocean Circulation and Climate Dynamics > FB1TM Theory and Modeling OceanRep > The Future Ocean  Cluster of Excellence 
Refereed:  Yes 
DOI etc.:  10.1175/JPOD11095.1 
ISSN:  00223670 
Projects:  Future Ocean 
Date Deposited:  15 May 2012 11:56 
Last Modified:  04 Sep 2013 09:19 
URI:  http://eprints.unikiel.de/id/eprint/14295 
Actions (login required)
View Item 