Representation of Eddies in Primitive Equation Models by a PV Flux

The parametric representation of buoyancy and momentum transport by baroclinic eddies in a primitive equation '' plane'' channel is studied through a transformation of the governing equations. Adoption of the ''transformed Eulerian mean'' and the assumption that the eddies (but not the mean flow) are quasigeostrophic in nature leads to 1) the eddies being represented symbolically by one term, an eddy potential vorticity flux, rendering a representation that incorporates both eddy momentum and eddy buoyancy fluxes, and 2) the advecting velocities being those of the residual mean circulation. A closure is employed for the eddy potential vorticity flux that directs it down the mean potential vorticity gradient. Care is taken to ensure that the resulting force does not generate any net momentum in the channel but only acts to redistribute it.