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By means of self-consistent 3D MHD numerical simulations, we analyze magnetized solar-like stellar winds and their dependence on the plasma-beta parameter. We adopt in our simulations a heating parameter described by gamma, which is…

Solar and Stellar Astrophysics · Physics 2011-02-11 A. A. Vidotto , M. Opher , V. Jatenco-Pereira , T. I. Gombosi

We prove stability for arbitrarily long times of the zero solution for the so-called $\beta$-plane equation, which describes the motion of a two-dimensional inviscid, ideal fluid under the influence of the Coriolis effect. The Coriolis…

Analysis of PDEs · Mathematics 2016-05-05 Tarek M. Elgindi , Klaus Widmayer

Many questions remain about the compressibility of solar wind turbulence with respect to its origins and properties. Low plasma beta (ratio of thermal to magnetic pressure) environments allow for the easier generation of compressible…

We present an idealized study of the baroclinic structure of a rotating, stratified throughflow across a finite amplitude ridge in the f-plane that is forced by a steady, uniform inflow and outflow of equal magnitude. The resulting…

Fluid Dynamics · Physics 2021-01-26 Miguel A. Jimenez-Urias , LuAnne Thompson

The interaction of the nonlinear internal waves with a nonuniform current with a specific form, characteristic for the equatorial undercurrent, is studied. The current has no vorticity in the layer, where the internal wave motion takes…

Mathematical Physics · Physics 2016-07-04 Alan Compelli , Rossen Ivanov

Axisymmetric stellar wind solutions are presented, obtained by numerically solving the ideal magnetohydrodynamic (MHD) equations. Stationary solutions are critically analysed using the knowledge of the flux functions. These flux functions…

Astrophysics · Physics 2009-10-31 R. Keppens , J. P. Goedbloed

The scaling argument developed by Larichev and Held (1995) for eddy amplitudes and fluxes in a horizontally homogeneous, two-layer model on an f-plane is extended to a beta-plane. In terms of the non-dimensional number x =…

ao-sci · Physics 2016-08-30 Isaac M. Held , Vitaly D. Larichev

We study the ability of magnetic helicity expulsion to alleviate catastrophic $\alpha$-quenching in mean field dynamos in two--dimensional spherical wedge domains. Motivated by the physical state of the outer regions of the Sun, we consider…

Solar and Stellar Astrophysics · Physics 2011-02-01 Dhrubaditya Mitra , David Moss , Reza Tavakol , Axel Brandenburg

Vertical profiles for mean wind, standard deviations of velocity fluctuations, and wave-induced part of the momentum flux over a wavy fluid surface are calculated in the Cartesian coordinates on the basis of recent numerical results by…

Atmospheric and Oceanic Physics · Physics 2010-06-21 Vladislav G. Polnikov

Analyzing a large data base of high-resolution three-dimensional direct numerical simulations of decaying rotating stratified flows, we show that anomalous mixing and dissipation, marked anisotropy, and strong intermittency are all observed…

Fluid Dynamics · Physics 2019-10-08 A. Pouquet , D. Rosenberg , R. Marino

The transport of the potential vorticity gradient $\bnabla{q}$ along surfaces of constant temperature $\theta$ is investigated for the stratified Euler, Navier-Stokes and hydrostatic primitive equations of the oceans and atmosphere using…

Chaotic Dynamics · Physics 2010-03-22 J. D. Gibbon , D. D. Holm

The impact of variable material properties, such as temperature-dependent thermal conductivity and dynamical viscosity, on the dynamics of a fully compressible turbulent convection flow beyond the anelastic limit are studied in the present…

Fluid Dynamics · Physics 2024-07-30 John Panickacheril John , Jörg Schumacher

A finite element method for the numerical solution of the anisotropic Navier-Stokes equations in shallow domain is presented. This method take into account aspect ratio in the hydrostatic approximation of the Navier-Stokes equations…

Numerical Analysis · Mathematics 2012-07-03 Olivier Besson , Julien Straubhaar

We investigate the mean electromotive force in the kinematic framework, that is, ignoring the back-reaction of the magnetic field on the fluid velocity, under the assumption of axisymmetric turbulence determined by the presence of either…

Solar and Stellar Astrophysics · Physics 2012-02-23 A. Brandenburg , K. -H. Rädler , K. Kemel

Natural convection is usually complicated by additional factors such as rotation, shear, radiative transfer, compressibility and electromagnetic fields (in the case of electro-conductive fluids). It is shown, using results of numerical…

Fluid Dynamics · Physics 2022-04-20 A. Bershadskii

"Eddy saturation" is the regime in which the total time-mean volume transport of an oceanic current is relatively insensitive to the wind stress forcing and is often invoked as a dynamical description of Southern Ocean circulation. We…

Atmospheric and Oceanic Physics · Physics 2019-12-04 Navid C. Constantinou , Andrew McC. Hogg

In this work, experimental and numerical investigations are considered for confined buoyant turbulent jet with varying inlet temperatures. Results of the experimental work and numerical simulations for the problem under consideration are…

Fluid Dynamics · Physics 2013-03-01 M. F. El-Amin , A. Salama , S. Sun

In this article we investigate a family of nonlinear evolutions of polygons in the plane called the $\beta$-polygon flow and obtain some results analogous to results for the smooth curve shortening flow: (1) any planar polygon shrinks to a…

Differential Geometry · Mathematics 2016-10-13 David Glickenstein , Jinjin Liang

The paper is devoted to the study of the formation of stratification in an incompressible fluid due to convective laminar flows in horizontal layers heated from the side. Medium and intensive modes of stationary laminar thermal,…

Fluid Dynamics · Physics 2022-11-22 Alexey Fedyushkin

We discuss steady-state transonic outflows obtained by direct numerical solution of the hydrodynamic and magnetohydrodynamic equations. We make use of the Versatile Advection Code, a software package for solving systems of (hyperbolic)…

Astrophysics · Physics 2007-05-23 R. Keppens , J. P. Goedbloed