We present predictions of the energy spectrum of forced two-dimensional turbulence
obtained by employing a structure-preserving integrator. In particular, we construct a finite …

In this work, we consider a Shallow‐Water Quasi Geostrophic equation on the sphere, as a
model for global large‐scale atmospheric dynamics. This equation, previously studied by …

A resolution-independent data-driven subgrid-scale model in coarsened fluid descriptions is
proposed. The method enables the inclusion of high-fidelity data into the coarsened flow …

Abstract The two-dimensional (2-D) Euler equations of a perfect fluid possess a beautiful
geometric description: they are reduced geodesic equations on the infinite-dimensional Lie …

This paper outlines the study of the curvature of the quantomorphism group and its central
extension, as well as the quasi-geostrophic equation. By utilizing spherical harmonics and …

A closure model is presented for large-eddy simulation (LES) based on the three-
dimensional variational data assimilation algorithm. The approach aims at reconstructing …

The 2D Euler equations are a simple but rich set of non-linear PDEs that describe the
evolution of an ideal inviscid fluid, for which one dimension is negligible. Solving these …

Computational statistics has traditionally utilized double-precision (64-bit) data structures
and full-precision operations, resulting in higher-than-necessary accuracy for certain …

We describe the geometry of the incompressible porous medium (IPM) equation: we prove
that it is a gradient dynamical system on the group of area-preserving diffeomorphisms and …

We introduce for any Poisson structure π on a manifold M the notion of bi-realisation and
illustrate it by examples. We define Hamiltonian Poisson integrators as Poisson integrators …