Generalized large-scale semigeostrophic approximations for the<i>f</i>-plane primitive equations
Generalized large-scale semigeostrophic approximations for the<i>f</i>-plane primitive equations
We derive a family of balance models for rotating stratified flow in the primitive equation (PE) setting. By construction, the models possess conservation laws for energy and potential vorticity and are formally of the same order of accuracy as Hoskins' semigeostrophic equations. Our construction is based on choosing a new …