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We review the main properties of shell models for magnetohydrodynamic (MHD) turbulence. After a brief account on shell models with nearest neighbour interactions, the paper focuses on the most recent results concerning dynamical properties…

混沌动力学 · 物理学 2007-05-23 Paolo Giuliani

We show that oppositely directed fluxes of energy and magnetic helicity coexist in the inertial range in fully developed magnetohydrodynamic (MHD) turbulence with small-scale sources of magnetic helicity. Using a helical shell model of MHD…

等离子体物理 · 物理学 2015-06-23 Rodion Stepanov , Peter Frick , Irina Mizeva

In this study, the dynamics of a dissipationless incompressible Hall magnetohydrodynamic (HMHD) medium are formulated as geodesics on a direct product of two volume-preserving diffeomorphism groups. Formulations are given for the geodesic…

等离子体物理 · 物理学 2017-05-22 Keisuke Araki

We present 3D magnetohydrodynamic (MHD) numerical simulations of the evolution of self--gravitating and weakly magnetized disks with an adiabatic equation of state. Such disks are subject to the development of both the magnetorotational and…

天体物理学 · 物理学 2009-11-10 Sebastien Fromang , Steven A. Balbus , Caroline Terquem , Jean-Pierre De Villiers

We present the results of our detailed pseudospectral direct numerical simulation (DNS) studies, with up to $1024^3$ collocation points, of incompressible, magnetohydrodynamic (MHD) turbulence in three dimensions, without a mean magnetic…

混沌动力学 · 物理学 2011-01-31 Ganapati Sahoo , Prasad Perlekar , Rahul Pandit

We briefly review helicity dynamics, inverse and bi-directional cascades in fluid and magnetohydrodynamic (MHD) turbulence, with an emphasis on the latter. The energy of a turbulent system, an invariant in the non-dissipative case, is…

流体动力学 · 物理学 2019-03-13 A. Pouquet , D. Rosenberg , J. E. Stawarz , R. Marino

A spectral-element-based formulation of incompressible MHD is presented in the context of the open-source fluid-thermal code, Nek5000/RS. The formulation supports magnetic fields in a solid domain that surrounds the fluid domain. Several…

计算工程、金融与科学 · 计算机科学 2024-10-02 Yichen Guo , Paul Fischer , Misun Min

The operation of the solar global dynamo appears to involve many dynamical elements. Self-consistent MHD simulations which realistically incorporate all of these processes are not yet computationally feasible, though some elements can now…

天体物理学 · 物理学 2008-11-26 Allan Sacha Brun , Mark S. Miesch , Juri Toomre

We present Direct Numerical Simulations of decaying Magnetohydrodynamic (MHD) turbulence at low magnetic Reynolds number. The domain considered is bounded by periodic boundary conditions in the two directions perpendicular to the magnetic…

流体动力学 · 物理学 2015-03-19 Kacper Kornet , Alban Potherat

This paper describes the first steps of development of a new multidimensional time implicit code devoted to the study of hydrodynamical processes in stellar interiors. The code solves the hydrodynamical equations in spherical geometry and…

天体物理仪器与方法 · 物理学 2015-05-27 M. Viallet , I. Baraffe , R. Walder

Accurate magnetohydrodynamical (MHD) turbulence simulations require understanding numerical dissipation. We quantify numerical viscosity and resistivity in subsonic (M=0.1) and supersonic (M=10) turbulence regimes. The hydrodynamic (Re) and…

太阳与恒星天体物理 · 物理学 2025-01-31 Lakshmi Malvadi Shivakumar , Christoph Federrath

We propose a combined analytical-numerical strategy to predict the dynamics and trajectory of a microswimmer next to a curved spherical obstacle. The microswimmer is actuated by a slip velocity on its surface and a uniformly valid solution…

软凝聚态物质 · 物理学 2017-10-31 Nima Sharifi-Mood , Pablo G. Díaz-Hyland , Ubaldo M. Córdova-Figueroa

With the help of a model of magnetohydrodynamic (MHD) turbulence tested previously, we explore high Reynolds number regimes up to equivalent resolutions of 6000^3 grid points in the absence of forcing and with no imposed uniform magnetic…

流体动力学 · 物理学 2015-03-19 J. Pietarila Graham , P. D. Mininni , A. Pouquet

The Magneto-hydrodynamic (MHD) equations in the presence of a guiding magnetic field are investigated by means of direct numerical simulations. The basis of the investigation consists of 9 runs forced at the small scales. The results…

流体动力学 · 物理学 2015-05-30 Alexandros Alexakis

New large eddy simulation (LES) turbulence models for incompressible magnetohydrodynamics (MHD) derived from the variational multiscale (VMS) formulation for finite element simulations are introduced. The new models include the variational…

In this review article we will describe recent developments in statistical theory of magnetohydrodynamic (MHD) turbulence. Kraichnan and Iroshnikov first proposed a phenomenology of MHD turbulence where Alfven time-scale dominates the…

混沌动力学 · 物理学 2009-11-10 Mahendra K. Verma

Large eddy simulations (LES) of a lattice Boltzmann magnetohydrodynamic (LB-MHD) model are performed for the unstable magnetized Kelvin-Helmholtz jet instability. This algorithm is an extension of Ansumali et. al. (2004) to MHD in which one…

等离子体物理 · 物理学 2018-01-18 Christopher Flint , George Vahala

Turbulence in compressible plasma plays a key role in many areas of astrophysics and engineering. The extreme plasma parameters in these environments, e.g. high Reynolds numbers, supersonic and super-Alfvenic flows, however, make direct…

We present a new scenario for magnetic field amplification where an electrically conducting fluid is confined in a differentially rotating, spherical shell with thin aspect-ratio. When the angular momentum sufficiently decreases outwards,…

流体动力学 · 物理学 2016-06-14 Florence Marcotte , Christophe Gissinger

We demonstrate with a nonlinear MHD code that angular momentum can be transported due to the magnetic instability of toroidal fields under the influence of differential rotation, and that the resulting effective viscosity may be high enough…

太阳与恒星天体物理 · 物理学 2015-06-19 G. Ruediger , M. Gellert , F. Spada , I. Tereshin