English

Study of internal wave breaking dependence on stratification

Mathematical Physics 2012-06-27 v1 Dynamical Systems math.MP Chaotic Dynamics Atmospheric and Oceanic Physics Fluid Dynamics

Abstract

Mixing effect in a stratified fluid is considered and examined. Euler equations for incompressible fluid stratified by a gravity field are applied to state a mathematical problem and describe the effect. It is found out that a system of Euler equations is not enough for a formulation of correct generalized problem. Some complementary relations are suggested and justified. A numerical method is developed and applied for study of processes of vortex destruction and mixing progress in a stratified fluid. The dependence of vortex destruction on a stratification scale is investigated numerically and it is shown that the effect increases with the stratification scale. It is observed that the effect of vortex destruction is absent when the fluid density is constant. Some simple mathematical explanation of the effect is suggested.

Keywords

Cite

@article{arxiv.1206.6083,
  title  = {Study of internal wave breaking dependence on stratification},
  author = {Sergey Kshevetskii and Sergey Leble},
  journal= {arXiv preprint arXiv:1206.6083},
  year   = {2012}
}

Comments

25 pages, 15 figures

R2 v1 2026-06-21T21:25:57.914Z