Abstract: For the f-plane shallow-water primitive equations (PEs), hierarchies of balance conditions relating the gravity manifold (divergence δ and ageostrophic vorticity ? = f? ? g?2h) to the Rossby manifold (linearized potential ...

Abstract: For the f-plane shallow-water equations, the convergence properties of the supercompact finite-difference method (SCFDM) are examined during the evolution of complex, nonlinear flows spawned by an unstable jet. The second-, ...