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physics.flu-dyn2025
Geometric derivation and structure-preserving simulation of quasi-geostrophy on the sphere
Erwin Luesink, Arnout Franken, Sagy Ephrati +1
We present a geometric derivation of the quasi-geostrophic equations on the sphere, starting from the rotating shallow water equations. We utilise perturbation series methods in vo…
physics.flu-dyn2024
Dual Euler--Poincaré/Lie--Poisson formulation of subinertial stratified thermal ocean flow with identification of Casimirs as Noether quantities
Francisco J. Beron-Vera, Erwin Luesink
This paper investigates the geometric structure of a quasigeostrophic approximation to a recently introduced reduced-gravity thermal rotating shallow-water model that accounts for…