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We investigate the asymptotic properties of axisymmetric inertial modes propagating in a spherical shell when viscosity tends to zero. We identify three kinds of eigenmodes whose eigenvalues follow very different laws as the Ekman number…

流体动力学 · 物理学 2018-05-09 Michel Rieutord , Lorenzo Valdettaro

Bounds for the poloidal and toroidal kinetic energies and the heat transport are computed numerically for rotating convection at infinite Prandtl number with both no slip and stress free boundaries. The constraints invoked in this…

流体动力学 · 物理学 2022-08-30 A. Tilgner

We study rotating thermal convection in spherical shells. We base our analysis on a set of about 450 direct numerical simulations of the (magneto)hydrodynamic equations under the Boussinesq approximation. The Ekman number ranges from…

地球与行星天体物理 · 物理学 2016-01-20 Rakesh K. Yadav , Thomas Gastine , Ulrich R. Christensen , Lucia Duarte , Ansgar Reiners

We perform a numerical study of the heat transfer and flow structure of Rayleigh-B\'enard (RB) convection in (in most cases regular) porous media, which are comprised of circular, solid obstacles located on a square lattice. This study is…

A study of convection in a circular two dimensional cell is presented. The system is heated and cooled at two diametrically opposed points on the edge of the circle, which are parallel or anti-parallel to gravity. The latter's role in the…

流体动力学 · 物理学 2013-08-27 C. Málaga , F. Mandujano , R. Peralta-Fabi , C. Arzate

In turbulent wall sheared thermal convection, there are three different flow regimes, depending on the relative relevance of thermal forcing and wall shear. In this paper we report the results of direct numerical simulations of such sheared…

流体动力学 · 物理学 2021-01-20 Alexander Blass , Pier Tabak , Roberto Verzicco , Richard J. A. M. Stevens , Detlef Lohse

Star-planet tidal interactions may result in the excitation of inertial waves in the convective region of stars. In low-mass stars, their dissipation plays a prominent role in the long-term orbital evolution of short-period planets.…

太阳与恒星天体物理 · 物理学 2016-04-13 M. Guenel , C. Baruteau , S. Mathis , M. Rieutord

We study the stability and dynamics of non-Boussinesq convection in pure gases (CO$_2$ and SF$_6$) with Prandtl numbers near $Pr\simeq 1$ and in a H$_2$-Xe mixture with $Pr=0.17$. Focusing on the strongly nonlinear regime we employ Galerkin…

斑图形成与孤子 · 物理学 2007-05-23 Santiago Madruga , Hermann Riecke

We study the scaling properties of heat transfer $Nu$ in turbulent thermal convection at large Prandtl number $Pr$ using a quasi-linear theory. We show that two regimes arise, depending on the Reynolds number $Re$. At low Reynolds number,…

混沌动力学 · 物理学 2015-05-28 B. Dubrulle

Double-diffusive convection driven by both thermal and compositional buoyancy in a rotating spherical shell can exhibit a rather large number of behaviours often distinct from that of the single diffusive system. In order to understand how…

流体动力学 · 物理学 2020-04-28 Luis Silva , James F. Mather , Radostin D. Simitev

Penetrative turbulence, which occurs in a convectively unstable fluid layer and penetrates into an adjacent, originally stably stratified layer, is numerically and theoretically analyzed. We chose the most relevant example, namely thermally…

流体动力学 · 物理学 2021-06-30 Qi Wang , Philipp Reiter , Detlef Lohse , Olga Shishkina

We study rotating homogeneous turbulent convection forced by a mean vertical temperature gradient by means of direct numerical simulations (DNS) in the Boussinesq approximation in a rotating frame. In the absence of rotationour results are…

流体动力学 · 物理学 2019-10-30 Francesco Toselli , Stefano Musacchio , Guido Boffetta

We present three-dimensional direct numerical simulations of turbulent Rayleigh-B\'enard convection in a closed rectangular box whose width $L_y$ and length $L_x$ are 0.8 and 2.4 times the height $H$, respectively. The Rayleigh number $Ra$…

流体动力学 · 物理学 2026-05-05 Ambrish Pandey , Jörg Schumacher , Matteo Parsani , Katepalli R. Sreenivasan

Stellar activity and planetary magnetospheres are powered by an underlying dynamo mechanism generated by magnetoconvection coupled with rotation. In astrophysical contexts, magnetoconvection typically occurs in parameter regimes that are…

太阳与恒星天体物理 · 物理学 2025-12-03 Giuseppina Nigro

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…

太阳与恒星天体物理 · 物理学 2026-02-06 J. R. Fuentes , Ankit Barik , Jim Fuller

Horizontally-periodic Boussinesq Rayleigh-B\'enard Convection (RBC) is a simple model system to study the formation of large-scale structures in turbulent convective flows. We performed a suite of 2D numerical simulations of RBC between…

太阳与恒星天体物理 · 物理学 2025-12-23 F. Kupka , D. Fabbian , F. Zaussinger , D. Krüger , L. Gizon

The value of the Prandtl number $P$ exerts a strong influence on convection-driven dynamos in rotating spherical shells filled with electrically conducting fluids. Low Prandtl numbers promote dynamo action through the shear provided by…

流体动力学 · 物理学 2009-10-26 R. D. Simitev , F. H. Busse

We investigate the convective stability of a thin, infinite fluid layer with a rectangular cross-section, subject to imposed heat fluxes at the top and bottom and fixed temperature along the vertical sides. The instability threshold depends…

Flows at planetary scales are generally driven by buoyancy and influenced by rotation. Rotating Rayleigh-B\'enard convection (RRBC) is a practical and simple model that can be used to describe these systems. In RRBC, thermally induced…

流体动力学 · 物理学 2025-12-01 Hannah M. Clercx , Rudie P. J. Kunnen

Rayleigh--B\'enard (RB) convection, the flow in a fluid layer heated from below and cooled from above, is used to analyze the transition to the geostrophic regime of thermal convection. In the geostrophic regime, which is of direct…