6 papers · 1 filter
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…
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…
A continuous data assimilation closure for modeling statistically steady turbulence in large-eddy simulation
Sagy Ephrati, Arnout Franken, Erwin Luesink +2
A closure model is presented for large-eddy simulation (LES) based on the three-dimensional variational data assimilation algorithm. The approach aims at reconstructing high-fideli…
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…