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Simulations of strongly stratified turbulence often exhibit coherent large-scale structures called vertically sheared horizontal flows (VSHFs). VSHFs emerge in both two-dimensional (2D) and three-dimensional (3D) stratified turbulence with…

流体动力学 · 物理学 2018-07-10 Joseph G. Fitzgerald , Brian F. Farrell

Vertically banded zonal jets are frequently observed in weakly or non-rotating stratified turbulence, with the quasi-biennial oscillation in the equatorial stratosphere and the ocean's equatorial deep jets being two examples. Explaining the…

流体动力学 · 物理学 2018-12-26 Joseph G Fitzgerald , Brian F Farrell

A multiscale reduced description of turbulent free shear flows in the presence of strong stabilizing density stratification is derived via asymptotic analysis of the Boussinesq equations in the simultaneous limits of small Froude and large…

流体动力学 · 物理学 2023-06-22 Gregory P. Chini , Guillaume Michel , Keith Julien , Cesar B. Rocha , Colm-cille P. Caulfield

We investigate three-dimensional turbulence in a stably stratified fluid driven by a vertically sheared Kolmogorov flow using direct numerical simulations of the Boussinesq equations. As stratification increases, mean profiles evolve toward…

流体动力学 · 物理学 2025-12-16 Alessandro Sozza , Andrea Maffioli

We show that the phase space of stratified turbulence mainly consists of two slow invariant manifolds with rich physics, embedded on a larger basin with fast evolution. A local invariant manifold in the vicinity of the fluid at equilibrium…

流体动力学 · 物理学 2019-12-09 Nicolas E. Sujovolsky , Pablo D. Mininni

We investigate the effects of condensation and liquid water loading on the stably stratified surface layer, with an eye towards understanding the influence of turbulent mixing on fog formation. Direct numerical simulations (DNS) of dry and…

流体动力学 · 物理学 2020-12-09 Michael MacDonald , Marcin J. Kurowski , João Teixeira

This article presents a numerical analysis of the instability developing in horizontally sheared Poiseuille flow, when stratification extends along the vertical direction. Our study builds up on the previous work that originally detected…

流体动力学 · 物理学 2023-05-31 Joris Labarbe , Patrice Le Gal , Uwe Harlander , Stéphane Le Dizès , Benjamin Favier

Neither natural nor laboratory laminar flows are perfectly steady. Instead, they are frequently highly unsteady, as illustrated by experimental studies on B\'{e}nard convection. In the paper, we investigate the transition threshold of the…

偏微分方程分析 · 数学 2026-03-18 Qionglei Chen , Zhen Li

Elastic turbulence is a spatially and temporally disordered flow state appearing in viscoelastic fluids at vanishing fluid inertia and large elasticity. The resulting flows have broad technological interest, particularly to enhance mixing…

流体动力学 · 物理学 2026-04-02 Zhongxuan Hou , Stefano Berti , Teodor Burghelea , Francesco Romanò

We present a reduced system of 7 ordinary differential equations that captures the time evolution of spatial gradients of the velocity and the temperature in fluid elements of stratified turbulent flows. We show the existence of invariant…

流体动力学 · 物理学 2019-04-08 Nicolás E. Sujovolsky , Gabriel B. Mindlin , Pablo D. Mininni

This article explores the stability of stratified Couette flow in the viscous $3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal…

偏微分方程分析 · 数学 2024-02-26 Michele Coti Zelati , Augusto Del Zotto , Klaus Widmayer

Lakes and many other geophysical flows are shallow, density stratified, and contain a free-surface. Conventional studies on stratified shear instabilities make Boussinesq approximation. Free-surface arising due to large density variations…

流体动力学 · 物理学 2016-10-27 Mihir H. Shete , Anirban Guha

Stably stratified fluids subject to sustained forcing are known to develop step-like density "staircases", where nearly homogeneous layers alternate with thin interfaces of strong stratification. However, long-time numerical investigations…

流体动力学 · 物理学 2025-12-10 Niccolo Cocciaglia , Fabio Bonaccorso , Alessandra Sabina Lanotte , Luca Biferale

We investigate the long-time properties of the two-dimensional inviscid Boussinesq equations near a stably stratified Couette flow, for an initial Gevrey perturbation of size $\varepsilon$. Under the classical Miles-Howard stability…

偏微分方程分析 · 数学 2021-03-26 Jacob Bedrossian , Roberta Bianchini , Michele Coti Zelati , Michele Dolce

Double-diffusive convection, often referred to as semi-convection in astrophysics, occurs in thermally and compositionally stratified systems which are stable according to the Ledoux-criterion but unstable according to the Schwarzchild…

太阳与恒星天体物理 · 物理学 2015-05-20 Erica Rosenblum , Pascale Garaud , Adrienne Traxler , Stephan Stellmach

The Boussinesq system for buoyancy driven fluids couples the momentum equation forced by the buoyancy with the convection-diffusion equation for the temperature. One fundamental issue on the Boussinesq system is the stability problem on…

偏微分方程分析 · 数学 2020-05-28 Oussama Ben Said , Uddhaba Raj Pandey , Jiahong Wu

We show theoretically that an initially homogeneous planar Couette flow of a concentrated polymeric fluid is linearly unstable to the growth of two-dimensional (2D) perturbations, within two widely used constitutive models: the…

软凝聚态物质 · 物理学 2026-02-23 Theo A. Lewy , Suzanne M. Fielding , Peter D. Olmsted , Rich R. Kerswell

This paper establishes the nonlinear stability of the Couette flow for the 2D Boussinesq equations with only vertical dissipation. The Boussinesq equations concerned here model buoyancy-driven fluids such as atmospheric and oceanographic…

偏微分方程分析 · 数学 2020-04-21 Wen Deng , Jiahong Wu , Ping Zhang

We study the experimental properties of exchange flows in a stratified inclined duct (SID), which are simultaneously turbulent, strongly stratified by a mean vertical density gradient, driven by a mean vertical shear, and continuously…

流体动力学 · 物理学 2022-03-14 Adrien Lefauve , P. F. Linden

We numerically and theoretically investigate the Boussinesq Eady model, where a rapidly rotating density-stratified layer of fluid is subject to a meridional temperature gradient in thermal wind balance with a uniform vertically sheared…

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