{"title":"Interaction of hydrodynamic turbulence with stratified flows and internal waves: The role of turbulent diffusion and density fluctuations","authors":"L.A. Ostrovsky","doi":"10.1016/j.physd.2025.134661","DOIUrl":null,"url":null,"abstract":"<div><div>An outline of studies of the interaction of small-scale turbulence with stratified turbulent flows and internal waves (IW) is presented. They include elements of general theory of such flows, internal waves’ damping on small-scale turbulence, and support and amplification of turbulence by shear flows and internal waves. It is shown that perturbation of turbulent exchange parameters (such as the diffusion coefficient) results in significant wave damping in a long-wave range. On the other hand, density fluctuations or, equivalently, variation of potential energy of turbulence due to stratification allow the shear flows and waves to support turbulence at any Richardson numbers, with no finite threshold. Publications of different years outlined here include analytical and numerical modeling, as well as applications to the available data of measurements in the upper layer of the ocean in different geographic sites.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"476 ","pages":"Article 134661"},"PeriodicalIF":2.7000,"publicationDate":"2025-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physica D: Nonlinear Phenomena","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S016727892500140X","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
An outline of studies of the interaction of small-scale turbulence with stratified turbulent flows and internal waves (IW) is presented. They include elements of general theory of such flows, internal waves’ damping on small-scale turbulence, and support and amplification of turbulence by shear flows and internal waves. It is shown that perturbation of turbulent exchange parameters (such as the diffusion coefficient) results in significant wave damping in a long-wave range. On the other hand, density fluctuations or, equivalently, variation of potential energy of turbulence due to stratification allow the shear flows and waves to support turbulence at any Richardson numbers, with no finite threshold. Publications of different years outlined here include analytical and numerical modeling, as well as applications to the available data of measurements in the upper layer of the ocean in different geographic sites.
期刊介绍:
Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.