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Motivated by understanding the dynamics of stellar and planetary interiors, we have performed a set of direct numerical simulations of Boussinesq convection in a rotating full sphere. The domain is internally heated with fixed temperature…

Fluid Dynamics · Physics 2021-05-05 Yufeng Lin , Andrew Jackson

The dynamics, structure and stability of zonal jets in planetary flows are still poorly understood, especially in terms of coupling with the small-scale turbulent flow. Here, we use an experimental approach to address the questions of zonal…

Fluid Dynamics · Physics 2021-01-12 Daphné Lemasquerier , Benjamin Favier , Michael Le Bars

We derive the global model of thermal quasi-geostrophy on the sphere via asymptotic expansion of the thermal rotating shallow water equations. The model does not rely on the asymptotic expansion of the Coriolis force and extends the…

Numerical Analysis · Mathematics 2025-09-01 Michael Roop , Sagy Ephrati

We study rapidly-rotating Boussinesq convection driven by internal heating in a full sphere. We use a numerical model based on the quasi-geostrophic approximation for the velocity field, whereas the temperature field is three-dimensional.…

Fluid Dynamics · Physics 2017-09-05 Céline Guervilly , Philippe Cardin

We review progress that has been made to constructa theory for the jet formation and maintenance in planetary atmospheres. The theory is built in the regime where velocityfluctuations around the base jet are very small compared to the…

Fluid Dynamics · Physics 2016-03-25 F Bouchet , C Nardini , T Tangarife

Intense east-west winds called zonal jets are observed in the atmospheres of Jupiter and Saturn and extend in their deep interior. We present experimental results from a fully three-dimensional laboratory analog of deep gas giants zonal…

Geophysics · Physics 2022-11-16 Daphné Lemasquerier , Benjamin Favier , Michael Le Bars

Coriolis-centrifugal convection (C$^3$) in a cylindrical domain constitutes an idealised model of tornadic storms, where the rotating cylinder represents the mesocyclone of a supercell thunderstorm. We present a suite of C$^3$ direct…

Fluid Dynamics · Physics 2021-05-19 Susanne Horn , Jonathan M. Aurnou

The traditional approximation neglects the cosine components of the Coriolis acceleration, and this approximation has been widely used in the study of geophysical phenomena. However, the justification of the traditional approximation is…

Fluid Dynamics · Physics 2023-08-02 Ray Chew , Mark Schlutow , Rupert Klein

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

A linear analysis of the zombie vortex instability is performed in a stratified shearing sheet setting for three model barotropic shear flows. The linear analysis is done by utilizing a Green's function formulation to resolve the critical…

Fluid Dynamics · Physics 2016-10-26 Orkan M. Umurhan , Karim Shariff , Jeffrey N. Cuzzi

Planets lose mass to atmospheric outflows, and this mass loss is thought to be central in shaping the bimodal population of gaseous giant and rocky terrestrial exoplanets in close orbits. We model the escape of planetary atmospheres in…

Earth and Planetary Astrophysics · Physics 2024-11-22 Morgan MacLeod , Antonija Oklopčić , Fabienne Nail , Dion Linssen

We explain the emergence and stability of the most important jets and vortices, in the highly turbulent Jupiter's atmosphere, by a statistical mechanics of the potential vorticity mixing. Using the Quasi-Geostrophic 1-1/2 layer, with…

Statistical Mechanics · Physics 2007-05-23 Freddy Bouchet , Thierry Dumont

The regimes of possible global atmospheric circulation patterns in an Earth-like atmosphere are explored using a simplified GCM based on the University of Hamburg's Portable University Model for the Atmosphere with simplified (linear)…

Earth and Planetary Astrophysics · Physics 2019-06-19 Yixiong Wang , Peter Read , Fachreddin Tabataba-Vakili , Roland Young

In this study we give a characterization of semi-geostrophic turbulence by performing freely decaying simulations for the case of constant uniform potential vorticity, a set of equations known as surface semi-geostrophic approximation. The…

Atmospheric and Oceanic Physics · Physics 2016-03-08 Francesco Ragone , Gualtiero Badin

Zonal flows in rapidly-rotating celestial objects such as the Sun, gas or ice giants form in a variety of surface patterns and amplitudes. Whereas the differential rotation on the Sun, Jupiter and Saturn features a super-rotating equatorial…

Geophysics · Physics 2016-09-09 Wieland Dietrich , Thomas Gastine , Johannes Wicht

Rotating Rayleigh--B\'enard convection is an oft-employed model system to evaluate the interplay of buoyant forcing and Coriolis forces due to rotation, an eminently relevant interaction of dynamical effects found in many geophysical and…

Capillary jetting of a fluid dispersed into another immiscible phase is usually limited by a critical Capillary number, a function of the Reynolds number and the fluid properties ratios. Critical conditions are set when the minimum…

Fluid Dynamics · Physics 2009-11-13 Alfonso M. Ganan-Calvo

Quasigeostrophic turbulence on a beta-plane with a finite deformation radius is studied nu- merically, with particular emphasis on frequency and combined wavenumber-frequency do- main analyses. Under suitable conditions, simulations with…

Atmospheric and Oceanic Physics · Physics 2016-04-08 D. L. Suhas , Jai Sukhatme

The surface winds of Jupiter and Saturn are primarily zonal. Each planet exhibits strong prograde equatorial flow flanked by multiple alternating zonal winds at higher latitudes. The depth to which these flows penetrate has long been…

Earth and Planetary Astrophysics · Physics 2015-06-18 T. Gastine , M. Heimpel , J. Wicht

We study the dynamics of $N$ point vortices on a rotating sphere. The Hamiltonian system becomes infinite dimensional due to the non-uniform background vorticity coming from the Coriolis force. We prove that a relative equilibrium formed of…

Dynamical Systems · Mathematics 2007-05-23 Frederic Laurent-Polz
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