中文

实验分层湍流中的拉格朗日色散

流体动力学 2026-03-06 v1

摘要

presented from a large-scale experiment achieving both high buoyancy Reynolds numbers and low Froude numbers -- a regime characteristic of oceanic conditions. Stratification has a pronounced effect on the vertical particle dispersion, which is observed to be constrained to distances on the order of wstd/Nw_{\mathrm{std}}/N, where wstdw_{\mathrm{std}} is the standard deviation of the vertical velocity and NN is the Brunt-V"ais"al"a frequency. As expected in strongly nonlinear, stratified turbulence, the frequency spectrum of the Lagrangian velocity becomes isotropic at frequencies higher than NN. The spectral decay follows a 1/f31/f^3 scaling, which contrasts with the 1/f21/f^2 behavior typical of homogeneous isotropic turbulence. At time scales corresponding to internal waves, the statistics of velocity increments remain Gaussian, consistent with the weakly nonlinear regime of wave turbulence. At smaller scales, however, the flow exhibits strongly non-Gaussian statistics, indicative of fully nonlinear turbulent dynamics driven by wave breaking.

关键词

引用

@article{arxiv.2603.05102,
  title  = {Lagrangian dispersion in experimental stratified turbulence},
  author = {Maelys Magnier and Costanza Rodda and Clément Savaro and Pierre Augier and Nathanael Machicoane and Thomas Valran and Samuel Viboud and Nicolas Mordant},
  journal= {arXiv preprint arXiv:2603.05102},
  year   = {2026}
}