32 citations · 131 across the 24 of their papers we have counts for
7 papers · 1 filter
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…
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…
Symmetry groups of geodesic equations with applications in water waves
Bo Gervang, Erwin Luesink
In this work we derive several important equations in water waves and liquid crystals by deriving them as geodesic equations of right-invariant metrics on two infinite-dimensional…
A flexible numerical tool for large dynamic DC networks
Erwin Luesink, Juan Giraldo, Bernard Geurts +2
DC networks play an important role within the ongoing energy transition. In this context, simulations of designed and existing networks and their corresponding assets are a core to…
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…