Quasi-geostrophic projection of rotating shallow-water equations

• DOI: 10.48550/arxiv.2403.10199
• Publication Date: 2024-03-15
• Authors: Louis Thiry; Long Li; Étienne Mémin; Guillaume Roullet
• Keywords: Shallow water equations

With a new unifying model for layered rotating shallow-water (RSW) and quasi-geostrophic (QG) equations, this paper sheds light on the relation between these two sets of equations. We propose here formulation equations as projection This QG uses same prognostic variables RSW, namely velocity layer thickness, restoring proximity It allows direct access to ageostrophic velocities hidden in geostrophic resolved by opens path studying difference RSW using underlying numerical discretization. illustrate possibility vortex shear instability double-gyre configuration.