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The evolution of a two-phase, air and unsaturated water vapor, time decaying, shearless, turbulent layer has been studied in the presence of both stable and unstable perturbations of the normal temperature lapse rate. The top interface…

流体动力学 · 物理学 2022-06-13 Luca Gallana , Shahbozbek Abdunabiev , Mina Golshan , Daniela Tordella

Numerical simulations of a thin layer of turbulent flow in stably stratified conditions within the Boussinesq approximation have been performed. The statistics of energy transfer among scales have been investigated for different values of…

流体动力学 · 物理学 2015-06-19 A. Sozza , G. Boffetta , P. Muratore-Ginanneschi , S. Musacchio

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

Recent studies based on simulations of the Boussinesq equations indicate that stratified turbulent flows can develop large-scale intermittency in the velocity and temperature fields, as detected in the atmosphere and oceans. In particular,…

流体动力学 · 物理学 2025-04-16 Raffaello Foldes , Raffaele Marino , Silvio Sergio Cerri , Enrico Camporeale

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

The ocean and the atmosphere, and hence the climate, are governed at large scale by interactions between pressure gradient, Coriolis and buoyancy forces. This leads to a quasi-geostrophic balance in which, in a two-dimensional-like fashion,…

流体动力学 · 物理学 2015-06-17 A. Pouquet , R. Marino

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…

In this paper, we introduce a diffuse interface model for describing the dynamics of mixtures involving multiple (two or more) phases. The coupled hydrodynamical system is derived through an energetic variational approach. The total energy…

偏微分方程分析 · 数学 2014-02-24 J. Brannick , C. Liu , T. Qian , H. Sun

Although ubiquitous in nature and industrial processes, transport processes at the interface during evaporation and condensation are still poorly understood. Experiments have shown temperature discontinuities at the interface during…

软凝聚态物质 · 物理学 2023-08-01 Gang Chen

In this paper, a thermal-dynamical consistent model for mass transfer across permeable moving interfaces is proposed by using the energy variation method. We consider a restricted diffusion problem where the flux across the interface…

数值分析 · 数学 2022-06-15 Yuzhe Qin , Huaxiong Huang , Yi Zhu , Chun Liu , Shixin Xu

Moist stratified turbulence is studied in a two-dimensional Boussinesq system influenced by condensation and evaporation. The problem is set in a periodic domain and employs simple evaporation and condensation schemes, wherein both the…

大气与海洋物理 · 物理学 2015-05-30 Jai Sukhatme , Andrew J. Majda , Leslie M. Smith

We study the interface between a solid trapped within a bath of liquid by a suitably shaped non-uniform external potential. Such a potential may be constructed using lasers, external electric or magnetic fields or a surface template. We…

软凝聚态物质 · 物理学 2009-11-13 Abhishek Chaudhuri , Debasish Chaudhuri , Surajit Sengupta

The dynamics of a thin layer of liquid, between a flat solid substrate and an infinitely-thick layer of saturated vapor, is examined. The liquid and vapor are two phases of the same fluid, governed by the diffuse-interface model. The…

统计力学 · 物理学 2021-09-27 E. S. Benilov

The Boussinesq approximation is a cornerstone of geophysical fluid dynamics, yet its thermodynamic and energetic underpinnings have remained ambiguous. In standard formulations, the links with the fully compressible Navier--Stokes equations…

流体动力学 · 物理学 2025-12-23 R. Tailleux , T. Dubos , B. J. Hatton

The linear wave and geostrophic (vortex) solutions are shown to be a complete basis for physical variables $(u,v,w,\rho)$ in a rotating non-hydrostatic Boussinesq model with arbitrary stratification. As a consequence, the fluid can be…

流体动力学 · 物理学 2021-02-16 Jeffrey J. Early , M. Pascale Lelong , Miles A. Sundermeyer

We study the governing equations for the motion of the fluid particles near air-water interface from an energetic point of view. Since evaporation and condensation phenomena occur at the interface, we have to consider phase transition. This…

数学物理 · 物理学 2024-01-10 Hajime Koba

We employ a coarse-graining approach to analyze nonlinear cascades in Boussinesq flows using high-resolution simulation data. We derive budgets which resolve the evolution of energy and potential enstrophy simultaneously in space and in…

流体动力学 · 物理学 2015-05-28 Hussein Aluie , Susan Kurien

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

We consider a coupled model for fluid flow and transport in a domain consisting of two bulk regions separated by a thin porous layer. The thickness of the layer is of order $\varepsilon$ and the microscopic structure of the layer is…

偏微分方程分析 · 数学 2024-09-26 Markus Gahn , Maria Neuss-Radu

We formulate a new theory for how caging constraints in glass-forming liquids at a surface or interface are modified and then spatially transferred, in a layer-by-layer bootstrapped manner, into the film interior in the context of the…

软凝聚态物质 · 物理学 2019-02-20 Anh D. Phan , Kenneth S. Schweizer
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