Some classical and recent results on the Euler equations governing perfect (incompressible
and inviscid) fluid motion are collected and reviewed, with some small novelties scattered …

The evolution of unforced and weakly damped two-dimensional turbulence over random
rough topography presents two extreme states. If the initial kinetic energy E is sufficiently …

There are plenty of excellent plotting libraries. Each excels at a different use case: one is
good for printed 2D publication figures, the other at interactive 3D graphics, a third has …

We present Trixi. jl, a Julia package for adaptive high-order numerical simulations of
hyperbolic partial differential equations. Utilizing Julia's strengths, Trixi. jl is extensible, easy …

Vortex crystals are quasiregular arrays of like-signed vortices in solid-body rotation
embedded within a uniform background of weaker vorticity. Vortex crystals are observed at …

The vorticity of a two-dimensional perfect (incompressible and inviscid) fluid is transported
by its area preserving flow. Given an initial vorticity distribution ω 0, predicting the long time …

We present a method to downscale idealized geophysical fluid simulations using generative
models based on diffusion maps. By analyzing the Fourier spectra of fields drawn from …

There are numerous examples of long-lived, surface-intensified anticyclones over
submarine depressions and troughs in the ocean. These often co-exist with a large-scale …

This paper presents MQGeometry, a multi-layer quasi-geostrophic (QG) equation solver for
non-rectangular geometries. We advect the potential vorticity (PV) with finite volumes to …

We analytically examine fluctuations of vorticity excited by an external random force in two-
dimensional fluid. We develop the perturbation theory enabling one to calculate nonlinear …