The three-dimensional Euler equations have stood for a quarter of a millenium as a
challenge to mathematicians and physicists. While much has been discovered, the nature of …

Fourier and related transforms are a family of algorithms widely employed in diverse areas
of computational science, notoriously difficult to scale on high-performance parallel …

This review article offers a survey of the research program focused on a systematic
computational search for extreme and potentially singular behaviour in hydrodynamic …

The question of whether the 3D incompressible Euler equations can develop a finite time
singularity from smooth initial data has been an outstanding open problem in fluid dynamics …

Initial results from new calculations of interacting anti-parallel Euler vortices are presented
with the objective of understanding the origins of singular scaling presented by Kerr [RM …

The well-known energy dissipation anomaly in the inviscid limit, related to velocity
singularities according to Onsager, still needs to be demonstrated by numerical …

We report on the algorithms and numerical methods used in Viriato, a novel fluid–kinetic
code that solves two distinct sets of equations:(i) the Kinetic Reduced Electron Heating …

We derive the spin Euler equation for ideal flows by applying the spherical Clebsch
mapping. This equation is based on the spin vector, a unit vector field encoding vortex lines …

We perform the systematic numerical study of high vorticity structures that develop in the 3D
incompressible Euler equations from generic large-scale initial conditions. We observe that …

This is a study of the spontaneous formation of electric current sheets in an incompressible
viscous fluid with perfect electrical conductivity, governed by the magnetohydrodynamic …