Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4552167 | Ocean Modelling | 2012 | 14 Pages |
Linear stability analysis is used to predict the vertical and lateral structure for the diffusivity related to meso-scale eddy buoyancy and potential vorticity fluxes in three-dimensional primitive equation models, following a suggestion by Peter D. Killworth. Using two idealized numerical models as example, it is shown that the linear stability analysis yields a consistent lateral and vertical structure for both lateral diffusivities. Parameterizations based on isopycnal thickness or potential vorticity diffusion are shown to be equivalent for constant diffusivities in quasi-geostrophic approximation. For spatially varying diffusivities they yield similar results in the model experiments, although the corresponding diffusivities show different vertical structure.
► Parameterizations of meso-scale eddy effects by isopycnal thickness and potential vorticity mixing are compared. ► Linear instability theory is used to predict the lateral diffusivity for eddy buoyancy fluxes and eddy potential vorticity fluxes. ► The closure is implemented and tested in a three-dimensional primitive equation model.