32 citations · 131 across the 24 of their papers we have counts for
4 papers · 1 filter
Casimir preserving stochastic Lie-Poisson integrators
Erwin Luesink, Sagy Ephrati, Paolo Cifani +1
Casimir preserving integrators for stochastic Lie-Poisson equations with Stratonovich noise are developed extending Runge-Kutta Munthe-Kaas methods. The underlying Lie-Poisson stru…
Computational modeling for high-fidelity coarsening of shallow water equations based on subgrid data
Sagy Ephrati, Erwin Luesink, Golo Wimmer +2
Small-scale features of shallow water flow obtained from direct numerical simulation (DNS) with two different computational codes for the shallow water equations are gathered offli…
Stochastic geometric mechanics with diffeomorphisms
Darryl D. Holm, Erwin Luesink
Noether's celebrated theorem associating symmetry and conservation laws in classical field theory is adapted to allow for broken symmetry in geometric mechanics and is shown to pla…
Theoretical and computational analysis of the thermal quasi-geostrophic model
Dan Crisan, Darryl D. Holm, Erwin Luesink +2
This work involves theoretical and numerical analysis of the Thermal Quasi-Geostrophic (TQG) model of submesoscale geophysical fluid dynamics (GFD). Physically, the TQG model invol…