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Convection in rotating spherical geometries is an important physical process in planetary and stellar systems. Using continuation methods at low Prandtl number, we find both strong equatorially asymmetric and symmetric polar nonlinear…

Solar and Stellar Astrophysics · Physics 2019-07-17 F. Garcia , F. R. N. Chambers , A. L. Watts

Rotating turbulent convection occurs ubiquitously in natural convective systems encompassing planetary cores, oceans, and atmospheres, as well as in many industrial applications. While the global heat and mass transfer of water-like…

Fluid Dynamics · Physics 2024-10-08 Yufan Xu , Jewel Abbate , Cy David , Tobias Vogt , Jonathan Aurnou

Thermal convection in rotating stars and planets drives anisotropic turbulence and differential rotation, both capable of feeding energy into global oscillations. Using 3D simulations of rotating convection in spherical shells, we show that…

Solar and Stellar Astrophysics · Physics 2026-02-06 J. R. Fuentes , Ankit Barik , Jim Fuller

The main objective of this article is to study the effect of spherical geometry on dynamic transitions and pattern formation for the Rayleigh-Benard convection. The study is mainly motivated by the importance of spherical geometry and…

Mathematical Physics · Physics 2015-05-30 Shouhong Wang , Ping Yang

Convection on geophysical and astrophysical scales is subject to rapid rotation and strong heating from within the domain. In studying the long-time behaviour of the solutions for such a system, energy identities fail to capture the effects…

Fluid Dynamics · Physics 2026-04-03 Yutong Zhang , Ali Arslan , Stefano Maffei , Andrew Jackson

This study considers the onset of stress-free Boussinesq thermal convection in rotating spherical shells with aspect ratio $\eta=r_i/r_o=0.9$ ($r_i$ and $r_o$ being the inner and outer radius), Prandtl numbers ${\rm Pr}…

Solar and Stellar Astrophysics · Physics 2018-05-16 F. Garcia , F. R. N. Chambers , A. L. Watts

We use 123 three dimensional direct numerical simulations to study fingering convection in non-rotating spherical shells. We investigate the scaling behaviour of the flow lengthscale, the non-dimensional heat and compositional fluxes $Nu$…

Fluid Dynamics · Physics 2024-04-26 T. Tassin , T. Gastine , A. Fournier

We report experiments on convection patterns in a cylindrical cell with a large aspect ratio. The fluid had a Prandtl number of approximately 1. We observed a chaotic pattern consisting of many rotating spirals and other defects in the…

Inclined turbulent thermal convection by large Rayleigh numbers in extremely small-Prandtl-number fluids is studied based on results of both, measurements and high-resolution numerical simulations. The Prandtl number $Pr\approx0.0093$…

Two-dimensional direct numerical simulations are conducted for convection sustained by uniform internal heating in a horizontal fluid layer. Top and bottom boundary temperatures are fixed and equal. Prandtl numbers range from 0.01 to 100,…

Fluid Dynamics · Physics 2015-03-13 David Goluskin , Edward A. Spiegel

Natural convection is of great importance in many engineering applications. This paper presents a smoothed particle hydrodynamics (SPH) method for natural convection. The conservation equations of mass, momentum and energy of fluid are…

Fluid Dynamics · Physics 2019-04-16 Xiufeng Yang , Song-Charng Kong

Convection is the predominant mechanism by which energy and angular momentum are transported in the outer portion of the Sun. The resulting overturning motions are also the primary energy source for the solar magnetic field. An accurate…

Solar and Stellar Astrophysics · Physics 2018-03-26 Ryan J. Orvedahl , Michael A. Calkins , Nicholas A. Featherstone , Bradley W. Hindman

Coherent large-scale circulations of turbulent thermal convection in air have been studied experimentally in a rectangular box heated from below and cooled from above using Particle Image Velocimetry. The hysteresis phenomenon in turbulent…

Fluid Dynamics · Physics 2009-11-11 A. Eidelman , T. Elperin , N. Kleeorin , A. Markovich , I. Rogachevskii

We simulate numerically Boussinesq convection in non-rotating spherical shells for a fluid with a unity Prandtl number and Rayleigh numbers up to $10^9$. In this geometry, curvature and radial variations of the gravitationnal acceleration…

Fluid Dynamics · Physics 2015-10-28 T. Gastine , J. Wicht , J. M. Aurnou

High-Rayleigh number convective turbulence is ubiquitous in many natural phenomena and in industries, such as atmospheric circulations, oceanic flows, flows in the fluid core of planets, and energy generations. In this work, we present a…

Fluid Dynamics · Physics 2022-01-05 Hechuan Jiang , Xiaojue Zhu , Dongpu Wang , Sander G. Huisman , Chao Sun

We report experiments on thermally driven convection in an inclined layer of large aspect ratio in a fluid of Prandtl number $\sigma \approx 1$. We observed a number of new nonlinear, mostly spatio-temporally chaotic, states. At small…

patt-sol · Physics 2009-10-31 Karen E. Daniels , Eberhard Bodenschatz

We discuss the turbulent structure and dynamics of the upper solar convection zone using a 3D radiative hydrodynamic simulation model at 45 degrees latitude. The model reveals the self-formation of meridional flows, the leptocline, and the…

Solar and Stellar Astrophysics · Physics 2025-02-04 Irina N. Kitiashvili , Alan A. Wray

Large-scale patterns, which are well-known from the spiral defect chaos regime of thermal convection at Rayleigh numbers $Ra < 10^4$, continue to exist in three-dimensional numerical simulations of turbulent Rayleigh-B\'{e}nard convection…

Fluid Dynamics · Physics 2016-12-30 Mohammad S. Emran , Jörg Schumacher

We analyse the results of direct numerical simulations of rotating convection in spherical shell geometries with stress-free boundary conditions, which develop strong zonal flows. Both the Ekman number and the Rayleigh number are varied. We…

Fluid Dynamics · Physics 2023-08-11 Justin A. Nicoski , Anne R. O'Connor , Michael A. Calkins

The spatio-temporal dynamics of separation bubbles induced to form in a fully-developed turbulent boundary layer (with Reynolds number based on momentum thickness of the boundary layer of 490) over a flat plate are studied via direct…

Fluid Dynamics · Physics 2019-12-04 Wen Wu , Charles Meneveau , Rajat Mittal