16 citations · 25 across the 18 of their papers we have counts for
5 papers · 1 filter
Critical latitude in global quasi-geostrophic flow on a rotating sphere
Arnout Franken, Erwin Luesink, Sagy Ephrati +1
In this paper, we study geostrophic turbulence without external forcing or dissipation, using a Casimir-preserving numerical method. The research examines the formation of large zo…
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…
An exponential map free implicit midpoint method for stochastic Lie-Poisson systems
Sagy Ephrati, Erik Jansson, Annika Lang +1
An integrator for a class of stochastic Lie-Poisson systems driven by Stratonovich noise is developed. The integrator is suited for Lie-Poisson systems that also admit an isospectr…
Probabilistic data-driven turbulence closure modeling by assimilating statistics
Sagy Ephrati
A framework for deriving probabilistic data-driven closure models is proposed for coarse-grained numerical simulations of turbulence in statistically stationary state. The approach…
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…