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Pré-Publication, Document De Travail Année : 2005

A practical three dimensional formalism for the ocean, coupling random waves, mean flow, and turbulence

Résumé

Wave-mean flow equations for mass and momentum conservation in three dimensions, previously obtained with a vertical coordinate transform, are generalized here to random waves, and re-derived from the Generalized Lagrangian Mean equations. Combining the momentum equation with a three-dimensional equation for wave pseudo-momentum yields a set of equations describing the interactions of waves, mean flow and turbulence. Consistent boundary conditions and parameterizations are described. These include a Generalized Lagrangian Mean equation for the turbulent kinetic energy that describes the stretching of turbulence by the shear of the wave-induced Stokes drift. The equations derived here are readily integrated by coupling a spectral wave model to an ocean circulation model, with practical applications to the forecasting of surface drift, upper ocean mixing, coastal ocean circulation, and wave forecasting.
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Dates et versions

hal-00004696 , version 1 (14-04-2005)
hal-00004696 , version 2 (04-12-2006)
hal-00004696 , version 3 (08-02-2007)
hal-00004696 , version 4 (26-03-2007)

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Fabrice Ardhuin, Alastair Jenkins. A practical three dimensional formalism for the ocean, coupling random waves, mean flow, and turbulence. 2005. ⟨hal-00004696v1⟩
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