Diffusion-Rotational Parameterization of Eddy Fluxes of Potential Vorticity: Barotropic Flow in the Zonal Channel

Resumo

The problem of parameterizing the eddy flux of a potential vorticity is discussed. The traditional diffusion parameterization is complemented by the inclusion of the rotational component. The new scheme is analyzed using a quasi-geostrophic model of the dynamics of the barotropic flow in a zonal channel with a nonflat bottom. An analytical solution of the problem is found and the influence of topography on the flow disturbances is discussed. An equation for the eddy potential enstrophy is used, which makes it possible to relate the diffusion and rotational coefficients.