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The derivation of shallow water models from Navier-Stokes equations is revisited yielding a class of two-layer shallow water models.An improved velocity profile is proposed, based on the superposition of an ideal fluid and a viscous layer…

偏微分方程分析 · 数学 2018-06-11 François James , Pierre-Yves Lagrée , Hoang-Minh Le , Mathilde Legrand

High-frequency wave propagation in near-inertial wave shear has been considered fundamental in setting the spectral character of the oceanic internal wave continuum and for transporting energy to wave-breaking. We compare idealized ray…

大气与海洋物理 · 物理学 2023-10-27 Kurt L Polzin , Yuri V Lvov

A new approach to the modelling of wetting fronts in porous media on the Darcy scale is developed, based on considering the types (modes) of motion the menisci go through on the pore scale. This approach is illustrated using a simple model…

流体动力学 · 物理学 2012-03-07 Y. D. Shikhmurzaev , J. E. Sprittles

The aim of this paper is to study, via theoretical analysis and numerical simulations, the dynamics of Whitham and related equations. In particular we establish rigorous bounds between solutions of the Whitham and KdV equations and provide…

偏微分方程分析 · 数学 2017-06-28 C. Klein , F. Linares , D. Pilod , J. -C. Saut

The understanding of the fundamental properties of the climate system has long benefitted from the use of simple numerical models able to parsimoniously represent the essential ingredients of its processes. Here we introduce a new model for…

混沌动力学 · 物理学 2020-11-16 Gabriele Vissio , Valerio Lucarini

The temporal covariance between seismic waves measured at two locations on the solar surface is the fundamental observable in time-distance helioseismology. Above the acoustic cut-off frequency ($\sim$5.3~mHz), waves are not trapped in the…

太阳与恒星天体物理 · 物理学 2017-12-13 Damien Fournier , Michael Leguebe , Chris S. Hanson , Laurent Gizon , Helene Barucq , Juliette Chabassier , Marc Durufle

We investigate wind wave growth by direct numerical simulations solving for the two phase Navier-Stokes equations. We consider ratio of the wave speed $c$ to wind friction velocity $u_*$ from $c/u_*=$ 2 to 8, i.e. in the slow to…

流体动力学 · 物理学 2022-11-08 Jiarong Wu , Stéphane Popinet , Luc Deike

For any kind of wave phenomenon one can find ways to derive the respective dispersion relation from experimental observations and measurements. This dispersion relation determines the structure of the wave equation and thus characterizes…

流体动力学 · 物理学 2026-01-21 Gerd Leuchs , Mojdeh S. Najafabadi

A systematic derivation of a set of equations governing large scale atmospheric motions is presented. They are derived by introducing new variables scaled in terms of a small parameter.The solution is expanded in powers of this…

大气与海洋物理 · 物理学 2007-05-23 Joseph B. Keller , Lu Ting

We consider a two-layer fluid with a depth-dependent upper-layer current (e.g. a river inflow, an exchange flow in a strait, or a wind-generated current). In the rigid-lid approximation, we find the necessary singular solution of the…

流体动力学 · 物理学 2020-07-31 Karima Khusnutdinova

The interaction between small-scale waves and a larger-scale flow can be described by a multi-scale theory that forms the basis for a new class of parameterizations of subgrid-scale gravity waves (GW) in weather and climate models. The…

大气与海洋物理 · 物理学 2023-10-12 Ulrich Achatz , Young-Ha Kim , Georg Sebastian Voelker

Model parametrizations in the convective boundary layer are still at work especially in the interfacial layers with the surface and the free troposphere. The present paper reports simultaneous turbulence-scale lidar observations of wind…

大气与海洋物理 · 物理学 2022-11-17 Fabien Gibert , Dimitri Edouart , Paul Monnier , Julie Collignan , Julio Lopez , Claire Cénac

This paper is intended to clarify some of the rather well-known aerodynamic phenomena. It is also intended to pique the interest of the layman as well as the professional. All aerodynamic forces on a surface are caused by collisions of…

混沌动力学 · 物理学 2022-03-29 Charles A. Crummer

Atmospheric tides can have a strong impact on the rotational dynamics of planets. They are of most importance for terrestrial planets located in the habitable zone of their host star, where their competition with solid tides is likely to…

地球与行星天体物理 · 物理学 2017-09-28 Pierre Auclair-Desrotour , Jacques Laskar , Stéphane Mathis

Boundary layer turbulence in coastal regions differs from that in deep ocean because of bottom interactions. In this paper, we focus on the merging of surface and bottom boundary layers in a finite-depth coastal ocean by numerically solving…

大气与海洋物理 · 物理学 2022-04-13 Chao Yan , James C. McWilliams , Marcelo Chamecki

An understanding of wind speed and direction as a function of height are critical to the proper modeling of atmospheric turbulence. We have used radiosonde data from launch sites near significant astronomical observatories and created mean…

天体物理仪器与方法 · 物理学 2015-05-20 Lewis C. Roberts, , L. William Bradford

The coupled motion is investigated for a mechanical system consisting of water and a body freely floating in it. Water occupies either a half-space or a layer of constant depth into which an infinitely long surface-piercing cylinder is…

数学物理 · 物理学 2015-03-10 Nikolay Kuznetsov

This paper presents a contemporary review of vertical coupling in the atmosphere and ionosphere system induced by internal waves of lower atmospheric origin. Atmospheric waves are primarily generated by meteorological processes, possess a…

大气与海洋物理 · 物理学 2014-12-02 Erdal Yiğit , Alexander S. Medvedev

We derive and establish a solution concept for the linear mountain wave problem in two dimensions. After linearizing the governing equations and a change of variables, the problem can be stated as a Dirichlet boundary value problem for a…

偏微分方程分析 · 数学 2026-03-24 Adrian Constantin , Jörg Weber

In this paper we examine the flow generated by coupled surface and internal small-amplitude water waves in a two-fluid layer model, where we take the upper layer to be rotational (constant vorticity) and the lower layer to be irrotational.…

流体动力学 · 物理学 2026-01-21 David Henry , Rossen I. Ivanov , Zisis N. Sakellaris