Matter entanglement is a common chaotic structure found in both quantum and classical
systems. For classical turbulence, viscous vortices are like sinews in fluid flows, storing and …

To draw concrete pictures of the hierarchy of multiscale coherent vortices in turbulence
behind a cylinder and to reveal their sustaining mechanism, we conduct direct numerical …

Helicity, an invariant under ideal-fluid (Euler) evolution, has a topological interpretation in
terms of writhe and twist for a closed vortex tube, but accurately quantifying twist is …

涡量动力学是横场的理论基础, 发展得比纵场理论成熟. 由于在这个领域已有若干专著和教科书,
本文只专注于涡量动力学几个值得进一步探讨的方面, 而且仅聚焦于无界流体中的有关理论 …

An explanation for the origin and number of clumps along the equatorial ring of Supernova
1987A has eluded decades of research. Our linear analysis and hydrodynamic simulations …

We review the progress on the applications of the vortex-surface field (VSF). The VSF
isosurface is a vortex surface consisting of vortex lines. Based on the generalized Helmholtz …

We conduct direct numerical simulations and study the evolution of a pair of counter-rotating
vortices in a stratified and turbulent environment beyond the first vortex linking (which is due …

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 …

Topological transition and helicity conversion of vortex torus knots and links are studied
using direct numerical simulations of the incompressible Navier–Stokes equations. We find …

The dynamics of two slender Hopf-linked vortex rings at vortex Reynolds numbers ($
Re\equiv\varGamma/\nu,\mathrm {circulation/viscosity} $) $2000 $, $3000 $ and $4000 $ is …