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In this paper we study baroclinic waves both from the experimental and the theoretical perspective. We obtain data from a rotating annulus experiment capable of producing a series of baroclinic eddies similar to those found in the…

Chaotic Dynamics · Physics 2024-12-24 M. Agaoglou , V. J. Garcia-Garrido , U. Harlander , A. M. Mancho

Wave turbulence and eddy turbulence are the two regimes that we may encounter in nature. The attention of fluid mechanics being mainly focused on incompressible hydrodynamics, it is usually the second regime that is treated in books,…

Fluid Dynamics · Physics 2024-02-26 Sebastien Galtier

In [44], we qualitatively studied some classical results implied by the specification property for dynamical systems with non-uniform specification. In this paper, we perform quantitative studies on how properties of topological theory and…

Dynamical Systems · Mathematics 2025-08-26 Wanshan Lin , Xueting Tian , Chenwei Yu

Multistability is a ubiquitous feature in systems of geophysical relevance and provides key challenges for our ability to predict a system's response to perturbations. Near critical transitions small causes can lead to large effects and -…

Atmospheric and Oceanic Physics · Physics 2017-06-28 Valerio Lucarini , Tamas Bodai

Motivated by numerical schemes for large scale geophysical flow, we consider the rotating shallow water and Boussinesq equations on the whole space with horizontal kinetic energy backscatter source terms built from negative viscosity and…

Fluid Dynamics · Physics 2022-03-08 Artur Prugger , Jens D. M. Rademacher , Jichen Yang

Enstrophy is an averaged measure of fluid vorticity. This quantity is particularly important in {\em rotating} geophysical flows. We investigate the dynamical evolution of enstrophy for large-scale quasi-geostrophic flows under random wind…

Analysis of PDEs · Mathematics 2020-05-29 D. Blömker , Jinqiao Duan , T. Wanner

Floods, tides and tsunamis are turbulent, yet conventional models are based upon depth averaging inviscid irrotational flow equations. We propose to change the base of such modelling to the Smagorinksi large eddy closure for turbulence in…

Chaotic Dynamics · Physics 2008-05-22 A. J. Roberts , D. J. Georgiev , D. V. Strunin

Geophysical turbulence is observed to self-organize into large-scale flows such as zonal jets and coherent vortices. Previous studies on barotropic beta-plane turbulence have shown that coherent flows emerge out of a background of…

Atmospheric and Oceanic Physics · Physics 2018-06-15 Nikolaos A. Bakas , Petros J. Ioannou

We introduce a variant of the asymmetric random average process with continuous state variables where the maximal transport is restricted by a cutoff. For periodic boundary conditions, we show the existence of a phase transition between a…

Statistical Mechanics · Physics 2009-11-07 Frank Zielen , Andreas Schadschneider

In the present work we consider the behavior of the geodesic flow on the unit tangent bundle of the 2-torus $T^2$ for an arbitrary Riemannian metric. A natural non-negative quantity which measures the complexity of the geodesic flow is the…

Dynamical Systems · Mathematics 2010-07-01 Eva Glasmachers , Gerhard Knieper

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

Large-eddy simulation (LES) of a turbulent flow through an array of building-like obstacles is an idealized model to study transport of contaminants in the urban atmospheric boundary layer (UABL). A reasonably accurate LES prediction of…

Fluid Dynamics · Physics 2017-11-09 Jahrul M Alam , Luke P. J. Fitzpatrick

Terrestrial-type exoplanets orbiting nearby red dwarf stars (M dwarfs) are the first potentially habitable exoplanets suitable for atmospheric characterization in the near future. Understanding the stability of water in cold-trap regions on…

Earth and Planetary Astrophysics · Physics 2021-09-27 Feng Ding , Robin D. Wordsworth

The combination of elliptical deformation of streamlines and vorticity can lead to the destabilisation of any rotating flow via the elliptical instability. Such a mechanism has been invoked as a possible source of turbulence in planetary…

Fluid Dynamics · Physics 2017-09-13 Thomas Le Reun , Benjamin Favier , Adrian J. Barker , Michael Le Bars

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…

Planets with high obliquity receive more radiation in the polar regions than at low latitudes, and thus, assuming an ocean-covered surface with sufficiently high heat capacity, their meridional temperature gradient was shown to be reversed…

Earth and Planetary Astrophysics · Physics 2019-05-22 Wanying Kang , Ming Cai , Eli Tziperman

We investigate the large-scale transport properties of quasi-neutrally-buoyant inertial particles carried by incompressible zero-mean periodic or steady ergodic flows. We show how to compute large-scale indicators such as the…

This study examines the role of stratification in the formation and persistence of eastward jets (like the Gulf Stream and Kuroshio currents). Using a wind-driven, two-layer quasi-geostrophic model in a double-gyre configuration, we…

Fluid Dynamics · Physics 2025-04-11 Lennard Miller , Bruno Deremble , Antoine Venaille

Baroclinic instability is a fundamental mechanism driving atmospheric dynamics. In this work, we revisit Pedlosky's two-layer model for finite amplitude baroclinic waves - a seminal framework for studying the unstable growth of finite…

Atmospheric and Oceanic Physics · Physics 2026-04-16 Nicolas De Ro , Jonathan Demaeyer , Stéphane Vannitsem

In this work, a stochastic representation based on a physical transport principle is proposed to account for mesoscale eddy effects on the large-scale oceanic circulation. This stochastic framework arises from a decomposition of the…

Geophysics · Physics 2022-07-26 Long Li , Bruno Deremble , Noé Lahaye , Etienne Mémin