Multiscale quasi time-periodic coherent structures in shear flows
Fluid Dynamics
2026-01-27 v1
Abstract
Attempts to disentangle shear-flow turbulence often focus on identifying relatively simple solutions, such as travelling waves or periodic orbits. We show, however, that capturing multiscale features requires considering states at least as complex as quasi-time-periodic solutions. Approximations of these states can be computed efficiently using a quasi-linear model, consistent with the large-Reynolds-number asymptotic analysis. The quasi-linear structure is key to producing multiscale critical layers that generate vortices obeying Taylor frozen-flow hypothesis.
Keywords
Cite
@article{arxiv.2601.18023,
title = {Multiscale quasi time-periodic coherent structures in shear flows},
author = {Runjie Song and Kengo Deguchi and Genta Kawahara and Yongyun Hwang},
journal= {arXiv preprint arXiv:2601.18023},
year = {2026}
}