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Sea-floor topography is essential for oceanic fluid dynamics in many perspectives, and it is believed to enhance energy dissipation to oceanic flows. This study numerically examines the impact of small-scale topography on the dynamic of…

Fluid Dynamics · Physics 2023-11-29 Lin-Fan Zhang , Jin-Han Xie

We study the development of mean structures in a nonlinear model of large scale ocean dynamics with bottom topography and dissipation, and forced with a noise term. We show that the presence of noise in this nonlinear model leads to…

chao-dyn · Physics 2015-06-24 Alberto Alvarez , Emilio Hernandez-Garcia , Joaquin Tintore

Randomly-forced fluid flow in the presence of scale-unselective dissipation develops mean currents following topographic contours. Known mechanisms based on the scale-selective action of damping processes are not at work in this situation.…

chao-dyn · Physics 2009-10-31 A. Alvarez , E. Hernandez-Garcia , J. Tintore

Realistic computational simulations in different oceanic basins reveal prevalent prograde mean flows (i.e. in the direction of topographic Rossby wave propagation along isobaths; a.k.a. topostrophy) on topographic slopes in the deep ocean,…

Atmospheric and Oceanic Physics · Physics 2025-02-18 Esther Capó , James C. McWilliams , Jonathan Gula , M. Jeroen Molemaker , Pierre Damien , René Schubert

Oceanic geostrophic turbulence is mostly forced at the surface, yet strong bottom-trapped flows are commonly observed along topographic anomalies. Here we consider the case of a freely evolving, initially surface-intensified velocity field…

Fluid Dynamics · Physics 2015-06-04 Antoine Venaille

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,…

Fluid Dynamics · Physics 2015-06-17 A. Pouquet , R. Marino

This article deals with the investigation of the influence of topography and coastlines on the dynamics of the depth averaged Antarctic Circumpolar Current (ACC), driven by wind and atmospheric pressure. This is achieved with the help of a…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Vladimir N. Stepanov

We study the appearance of large scale mean motion sustained by stochastic forcing on a rotating fluid (in the quasigeostrophic approximation) flowing over topography. As in other noise rectification phenomena, the effect requires…

chao-dyn · Physics 2009-10-31 Alberto Alvarez , Emilio Hernandez-Garcia , Joaquin Tintore

We study the minimization of potential enstrophy at fixed circulation and energy in an oceanic basin with arbitrary topography. For illustration, we consider a rectangular basin and a linear topography h=by which represents either a real…

Fluid Dynamics · Physics 2011-04-12 A. Naso , P. H. Chavanis , B. Dubrulle

The self-organization of turbulence into regular zonal flows can be fruitfully investigated with quasilinear methods and statistical descriptions. A wave kinetic equation that assumes asymptotically large-scale zonal flows is pathological.…

Plasma Physics · Physics 2016-11-15 Jeffrey B. Parker

Theoretical studies on the modulation of unidimensional regular waves over a flat bottom due to a current typically assign an asymmetry between the effects of opposing/following streams on the evolution of major sea variables, such as…

Fluid Dynamics · Physics 2026-01-27 Ina Teutsch , Saulo Mendes , Jerome Kasparian

Quasigeostrophic flows are induced by spatial variations in interior potential vorticity and boundary buoyancy. We begin by developing the geostrophic turbulence theory of boundary buoyancy anomalies in a fluid with vanishing potential…

Fluid Dynamics · Physics 2022-07-21 Houssam Yassin

We investigate the non-linear equilibration of a two-layer quasi-geostrophic flow in a channel forced by an imposed unstable zonal mean flow, paying particular attention to the role of bottom friction. In the limit of low bottom friction,…

Fluid Dynamics · Physics 2015-06-22 Antoine Venaille , Louis-Philippe Nadeau , Geoffrey K. Vallis

The propagation of surface water waves interacting with a current and an uneven bottom is studied. Such a situation is typical for ocean waves where the winds generate currents in the top layer of the ocean. The role of the bottom…

Fluid Dynamics · Physics 2019-02-19 Alan C. Compelli , Rossen I. Ivanov , Calin I. Martin , Michail D. Todorov

Coasts are obstructions to the classical derivation of continuously stratified quasigeostrophic equations, due to possible resonances between slow internal coastally trapped Kelvin waves and anticyclones. [Deremble et al Ocean Modelling…

Fluid Dynamics · Physics 2020-06-24 Antoine Venaille

The transport of scalar quantities passively advected by velocity fields with a small-scale component can be modeled at meso-scale level by means of an effective drift and an effective diffusivity, which can be determined by means of…

Chaotic Dynamics · Physics 2009-11-11 M. Cencini , A. Mazzino , S. Musacchio , A. Vulpiani

Analysing the impact of bottom friction on shallow water waves over bottom terrains is important in areas including environmental and coastal engineering as well as the oceanic and atmospheric sciences. However, current theoretical…

Fluid Dynamics · Physics 2023-06-28 Chang Liu , Antwan D. Clark

The evolution of surface gravity waves is driven by nonlinear interactions that trigger an energy cascade similarly to the one observed in hydrodynamic turbulence. This process, known as wave turbulence, has been found to display anomalous…

Ocean mesoscale eddies enhance meridional buoyancy transport, notably in the Antarctic Circumpolar Current where they contribute to setting the deep stratification of the neighboring ocean basins. The much-needed parameterization of this…

Fluid Dynamics · Physics 2023-08-02 Julie Meunier , Benjamin Miquel , Basile Gallet

The stochastics two-layer quasi-geostrophic flow model is an intermediate system between the single-layer two dimensional barotropic flow model and the continuously stratified three dimensional baroclinic flow model. This model is widely…

Dynamical Systems · Mathematics 2008-10-17 Aijun Du , Jinqiao Duan , Hongjun Gao
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