Simulating fluid dynamics on a quantum computer is intrinsically difficult due to the nonlinear
and non-Hamiltonian nature of the Navier-Stokes equation (NSE). We propose a framework …

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 …

We propose a novel Clebsch method to simulate the free-surface vortical flow. At the center
of our approach lies a level-set method enhanced by a wave-function correction scheme …

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 …

We elucidate the vortex dynamics of flows past a flapping plate using the vortex-surface field
(VSF) and develop models for estimating thrust from shedding vortex surfaces in wakes. The …

We extend the vortex-surface field (VSF), whose isosurface is a vortex surface consisting of
vortex lines, to identify vortex tubes and sheets in homogeneous isotropic turbulence. The …

We elucidate the effect of the secondary baroclinic vorticity (SBV) on the Richtmyer–
Meshkov instability (RMI) accelerated by a weak incident shock and develop a vortex-based …

We propose a feasible method for constructing knotted vortex tubes with the finite thickness
and arbitrary complexity and develop an accurate algorithm to implement this method in …

We propose a theoretical method for constructing an initial two-component wave function
that can be transformed into a knotted velocity field with finite kinetic energy and enstrophy …

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 …