Variational balance models for the three-dimensional Euler–Boussinesq equations with full Coriolis force
Variational balance models for the three-dimensional Euler–Boussinesq equations with full Coriolis force
We derive a semi-geostrophic variational balance model for the three-dimensional Euler–Boussinesq equations on the nontraditional f-plane under the rigid lid approximation. The model is obtained by a small Rossby number expansion in the Hamilton principle, with no other approximations made. We allow for a fully non-hydrostatic flow and do not …