32 citations · 131 across the 24 of their papers we have counts for
3 papers · 2 filters
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…
Casimir preserving numerical method for global multilayer geostrophic turbulence
Arnout Franken, Erwin Luesink, Sagy Ephrati +1
Accurate long-term predictions of large-scale flow features on planets are crucial for understanding global atmospheric and oceanic systems, necessitating the development of numeri…
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…