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We present a method for two-scale model derivation of the periodic homogenization of the one-dimensional wave equation in a bounded domain. It allows for analyzing the oscillations occurring on both microscopic and macroscopic scales. The…

偏微分方程分析 · 数学 2013-12-04 Thi Trang Nguyen , Michel Lenczner , Matthieu Brassart

The flow of the laminar boundary layer on a flat plate is studied with simulation of Navier-Stokes equations. The mechanisms of flow instability at external edge of the boundary layer and near the wall are analyzed using the energy gradient…

流体动力学 · 物理学 2018-06-20 Hua-Shu Dou , Wenqian Xu , Boo Cheong Khoo

We find actual evidence, relying upon vorticity time series taken in a high Reynolds number atmospheric experiment, that to a very good approximation the surface boundary layer flow may be described, in a statistical sense and under certain…

流体动力学 · 物理学 2009-11-13 M. Kholmyansky , L. Moriconi , A. Tsinober

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

Internal waves propagate obliquely through a stratified fluid with an angle that is fixed with respect to gravity. Upon reflection on a sloping bed, striking phenomena are expected to occur close to the slope. We present here laboratory…

斑图形成与孤子 · 物理学 2009-11-11 Louis Gostiaux , Thierry Dauxois , Henri Didelle , Joel Sommeria , Samuel Viboud

This paper is devoted to the theoretical and numerical investigation of the initial boundary value problem for a system of equations used for the description of waves in coastal areas, namely, the Boussinesq-Abbott system in the presence of…

偏微分方程分析 · 数学 2024-02-07 David Lannes , Mathieu Rigal

By numerical simulation of exact equations of motion (in terms of conformal variables) for planar non-stationary potential flows of an ideal fluid with a free surface over a strongly non-uniform bottom profile, the effect of nonlinear…

流体动力学 · 物理学 2026-02-10 Victor P. Ruban

We study the flow induced by random vibration of a solid boundary in an otherwise quiescent fluid. The analysis is motivated by experiments conducted under the low level and random effective acceleration field that is typical of a…

斑图形成与孤子 · 物理学 2019-09-25 Dmitri Volfson , Jorge Vinals

We present a new method for the numerical implementation of generating boundary conditions for a one dimensional Boussinesq system. This method is based on a reformulation of the equations and a resolution of the dispersive boundary layer…

偏微分方程分析 · 数学 2021-04-14 David Lannes , Lisl Weynans

Consideration is given to the influence of an underwater landslide on waves at the surface of a shallow body of fluid. The equations of motion which govern the evolution of the barycenter of the landslide mass include various dissipative…

经典物理 · 物理学 2020-02-20 Denys Dutykh , Henrik Kalisch

Large-eddy simulations of a flat-plate boundary layer, without a leading edge, subject to multiple levels of incoming free stream turbulence are considered in the present work. Within an input-output model where non-linear terms of the…

流体动力学 · 物理学 2024-02-19 Diego C. P. Blanco , Ardeshir Hanifi , Dan S. Henningson , André V. G. Cavalieri

The theory of internal waves between two layers of immiscible fluids is important both for its applications in oceanography and engineering, and as a source of interesting mathematical model equations that exhibit nonlinearity and…

经典物理 · 物理学 2007-09-14 Hai Yen Nguyen , Frédéric Dias

Motivated by the analysis of the propagation of internal waves in a stratified ocean, we consider in this article the incompressible Euler equations with variable density in a flat strip, and we study the evolution of perturbations of the…

偏微分方程分析 · 数学 2019-12-12 Benoit Desjardins , David Lannes , Jean-Claude Saut

The structure of the boundary layers in turbulent Rayleigh-Benard convection is studied by means of three-dimensional direct numerical simulations. We consider convection in a cylindrical cell at an aspect ratio one for Rayleigh numbers of…

流体动力学 · 物理学 2012-09-04 Nan Shi , Mohammad S. Emran , Joerg Schumacher

We present three-dimensional direct numerical simulations of internal waves excited by turbulent convection in a self-consistent, Boussinesq and Cartesian model of convective--stably-stratified fluids. We demonstrate that in the limit of…

流体动力学 · 物理学 2018-10-17 Louis-Alexandre Couston , Daniel Lecoanet , Benjamin Favier , Michael Le Bars

The turbulent boundary layer over a Gaussian shaped bump is computed by direct numerical simulation (DNS) of the incompressible Navier-Stokes equations. The two-dimensional bump causes a series of strong pressure gradients alternating in…

流体动力学 · 物理学 2021-05-19 Riccardo Balin , Kenneth E. Jansen

Disk accretion onto weakly magnetized astrophysical objects often proceeds via a boundary layer that forms near the object's surface, in which the rotation speed of the accreted gas changes rapidly. Here we study the initial stages of…

太阳与恒星天体物理 · 物理学 2015-06-03 Mikhail Belyaev , Roman Rafikov

Exact Lagrangian in compact form is derived for planar internal waves in a two-fluid system with a relatively small density jump (the Boussinesq limit taking place in real oceanic conditions), in the presence of a background shear current…

大气与海洋物理 · 物理学 2010-09-24 V. P. Ruban

This paper investigates the steady axisymmetric structure of the cold boundary-layer flow surrounding fire whirls developing over localized fuel sources lying on a horizontal surface. The inviscid swirling motion found outside the boundary…

We demonstrate via direct numerical simulations that a periodic, oscillating mean flow spontaneously develops from turbulently generated internal waves. We consider a minimal physical model where the fluid self-organizes in a convective…

流体动力学 · 物理学 2018-08-01 Louis-Alexandre Couston , Daniel Lecoanet , Benjamin Favier , Michael Le Bars