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We summarize the general formalism describing surface flows in three-dimensional space in a form which is suitable for various astrophysical applications. We then apply the formalism to the analysis of non-radial perturbations of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Bicak , B. G. Schmidt

We build a hydrodynamical model for computing and understanding the Sun's large-scale high latitude flows, including Coriolis forces, turbulent diffusion of momentum and gyroscopic pumping. Side boundaries of the spherical 'polar cap', our…

Solar and Stellar Astrophysics · Physics 2015-06-03 Mausumi Dikpati , Peter A. Gilman

In aspherical potentials orbital planes continuously evolve. The gravitational torques impel the angular momentum vector to precess, that is to slowly stray around the symmetry axis, and nutate, i.e. swing up and down periodically in the…

Astrophysics of Galaxies · Physics 2016-08-10 Denis Erkal , Jason L. Sanders , Vasily Belokurov

Numerous land and space-based observations have established that Saturn has a persistent hexagonal flow pattern near its north pole. While observations abound, the physics behind its formation is still uncertain. Although several…

Fluid Dynamics · Physics 2020-07-20 Rakesh Kumar Yadav , Jeremy Bloxham

Stably-stratified layers may be present at the top of the electrically-conducting fluid layers of many planets either because the temperature gradient is locally subadiabatic or because a stable composition gradient is maintained by the…

Earth and Planetary Astrophysics · Physics 2022-11-08 Celine Guervilly

We report on the shape dynamics of ice suspended in cold fresh water and subject to the natural convective flows generated during melting. Experiments reveal shape motifs for increasing far-field temperature: Sharp pinnacles directed…

Fluid Dynamics · Physics 2022-02-09 Scott Weady , Joshua Tong , Alexandra Zidovska , Leif Ristroph

We investigate the quasilinear effects of the resonant wave-particle interaction under conditions of imbalanced turbulent heating in the collisionless coronal hole. We find that velocity-space transport of protons from the heated part of…

The orientational dynamics of weakly inertial axisymmetric particles in a steady flow is investigated. We derive an asymptotic equation of motion for the unit axial vector along the particle symmetry axis, valid for small Stokes number St,…

Fluid Dynamics · Physics 2014-05-22 J. Einarsson , J. R. Angilella , B. Mehlig

Low-frequency simulations of a one-layer model with lateral buoyancy variations (i.e., thermodynamically active) have revealed circulatory motions resembling quite closely submesoscale observations in the surface ocean rather than…

Atmospheric and Oceanic Physics · Physics 2021-04-14 F. J. Beron-Vera

Convection and magnetic field generation in the Earth and planetary interiors are driven by both thermal and compositional gradients. In this work numerical simulations of finite-amplitude double-diffusive convection and dynamo action in…

Fluid Dynamics · Physics 2021-01-27 James F. Mather , Radostin D. Simitev

Polar ring galaxies, where matter is in equilibrium in perpendicular orbits around spiral galaxies, are ideal objects to probe the 3D shapes of dark matter halos. The conditions to constrain the halos are that the perpendicular system does…

Astrophysics · Physics 2009-11-11 F. Combes

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.…

Solar and Stellar Astrophysics · Physics 2016-04-13 M. Guenel , C. Baruteau , S. Mathis , M. Rieutord

The fluid motion produced by a periodic array of identical, axisymmetric, thin-cored vortex rings is investigated. It is well known that such an array moves uniformly without change of shape or form in the direction of the central axis of…

Fluid Dynamics · Physics 2022-04-20 Emad Masroor , Mark A. Stremler

We study convection in a volumetrically heated fluid which is cooled from both plates and is under rotation through the use of direct numerical simulations. The onset of convection matches similar systems and predictions from asymptotic…

Fluid Dynamics · Physics 2025-03-27 Rodolfo Ostilla-Mónico , Ali Arslan

We study a new type of magnetoconvection in a nonuniform rotating plasma layer under a constant vertical magnetic field. To describe the weakly nonlinear stage of convection we apply Galerkin-truncated approximation and we obtain the system…

Earth and Planetary Astrophysics · Physics 2019-03-27 M. I. Kopp , A. V. Tur , V. V. Yanovsky

The properties of rotating turbulence driven by precession are studied using direct numerical simulations and analysis of the underlying dynamical processes in Fourier space. The study is carried out in the local rotating coordinate frame,…

Fluid Dynamics · Physics 2023-01-04 F. Pizzi , G. Mamatsashvili , A. J. Barker , A. Giesecke , F. Stefani

In this manuscript, it is analysed the onset and evolution of natural convection of an incompressible fluid between spherical shells. The shells are kept at a fixed temperature difference and aspect ratio, and the Rayleigh-Benard convection…

Fluid Dynamics · Physics 2023-09-07 Luca Santelli , Guiquan Wang , Richard J. A. M. Stevens , Roberto Verzicco

We consider the radial migration of vortices in two-dimensional isothermal gaseous disks. We find that a vortex core, orbiting at the local gas velocity, induces velocity perturbations that propagate away from the vortex as density waves.…

Earth and Planetary Astrophysics · Physics 2015-05-20 S. -J. Paardekooper , G. Lesur , J. C. B. Papaloizou

The thermal stability of rotating, stratified, unmagnetized atmospheres is studied by means of linear-perturbation analysis, finding stability, overstability or instability, depending on the properties of the gas distribution, but also on…

Astrophysics of Galaxies · Physics 2015-05-18 Carlo Nipoti

Linearized stability of incompressible viscous fluid flows in a thin spherical shell is studied by using the two-dimensional Navier--Stokes equations on a sphere. The stationary flow on the sphere has two singularities (a sink and a source)…

Classical Analysis and ODEs · Mathematics 2009-11-11 Ranis N. Ibragimov , Dmitry E. Pelinovsky