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Related papers: Probing Physics of Magnetohydrodynamic Turbulence …

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The unit of nonlinear interaction in Navier-Stokes and the Magnetohydrodynamic (MHD) equations is a wavenumber triad ({\bf k,p,q}) satisfying ${\bf k+p+q=0}$. The expression for the combined energy transfer from two of these wavenumbers to…

Fluid Dynamics · Physics 2007-05-23 Gaurav Dar , Mahendra K. Verma , V. Eswaran

We perform direct numerical simulations of three-dimensional freely decaying magnetohydrodynamic (MHD) turbulence. For helical magnetic fields an inverse cascade effect is observed in which power is transfered from smaller scales to larger…

Astrophysics · Physics 2009-10-31 Mattias Christensson , Mark Hindmarsh , Axel Brandenburg

One of the most important predictions in magnetohydrodynamics (MHD) is that in the presence of a uniform magnetic field $\textbf{b}_{0}$ a transition from weak to strong wave turbulence should occur when going from large to small…

Fluid Dynamics · Physics 2016-03-23 Romain Meyrand , Sebastien Galtier , Khurom H. Kiyani

MHD Turbulence is common in many space physics and astrophysics environments. We first discuss the properties of incompressible MHD turbulence. A well-conductive fluid amplifies initial magnetic fields in a process called small-scale…

Astrophysics of Galaxies · Physics 2015-06-19 Andrey Beresnyak , Alex Lazarian

We perform a suite of two- and three-dimensional magnetohydrodynamic (MHD) simulations with the Athena code of the non-driven Kelvin-Helmholtz instability in the subsonic, weak magnetic field limit. Focusing the analysis on the non-linear…

High Energy Astrophysical Phenomena · Physics 2015-06-15 Greg Salvesen , Kris Beckwith , Jacob B. Simon , Sean M. O'Neill , Mitchell C. Begelman

This experimental study analyzes the relationship between the dimensionality of turbulence and the upscale or downscale nature of its energy transfers. We do so by forcing low-$Rm$ magnetohydrodynamic (MHD) turbulence in a confined channel,…

Fluid Dynamics · Physics 2018-06-12 N. T. Baker , A. Pothérat , L. Davoust , F. Debray

Direct numerical simulations of decaying and forced magnetohydrodynamic (MHD) turbulence without and with mean magnetic field are analyzed by higher-order two-point statistics. The turbulence exhibits statistical anisotropy with respect to…

Plasma Physics · Physics 2009-11-10 Wolf-Christian Mueller , Dieter Biskamp , Roland Grappin

Direct and large eddy simulations of hydrodynamic and hydromagnetic turbulence have been performed in an attempt to isolate artifacts from real and possibly asymptotic features in the energy spectra. It is shown that in a hydrodynamic…

Astrophysics · Physics 2007-05-23 N. E. L. Haugen , A. Brandenburg

We explore the effect of the magnetic Prandtl number Pm on energy and dissipation in fully resolved direct numerical simulations of steady-state, mechanically forced homogeneous magnetohydrodynamic turbulence in the range Pm = 1/32 to 32.…

Fluid Dynamics · Physics 2019-01-17 Mairi E. McKay , Arjun Berera , Richard D. J. G. Ho

As a reduced representation of the nonlinear spectral fluxes of ideal invariants in incompressible magnetohydrodynamics, we construct a gradient-diffusion network model that combines phenomenological considerations and geometrical analysis…

Fluid Dynamics · Physics 2022-03-23 Benjamin Beck , Wolf-Christian Müller

According to the kinematic theory of nonhelical dynamo action the magnetic energy spectrum increases with wavenumber and peaks at the resistive cutoff wavenumber. It has previously been argued that even in the dynamical case the magnetic…

Astrophysics · Physics 2009-11-10 Nils Erland L. Haugen , Axel Brandenburg , Wolfgang Dobler

The scale locality of energy fluxes for magnetohydrodynamics (MHD) is investigated numerically for stationary states of turbulence. Two types of forces are used to drive turbulence, a kinetic force that acts only on the velocity field and a…

Fluid Dynamics · Physics 2015-05-30 B. Teaca , D. Carati , J. A. Domaradzki

Scale interactions in Hall MHD are studied using both the mean field theory derivation of transport coefficients, and direct numerical simulations in three space dimensions. In the magnetically dominated regime, the eddy resistivity is…

Plasma Physics · Physics 2009-11-11 P. D. Mininni , A. Alexakis , A. Pouquet

The free decay of non-helical relativistic magnetohydrodynamic turbulence is studied numerically, and found to exhibit cascading of magnetic energy toward large scales. Evolution of the magnetic energy spectrum $P_M(k,t)$ is self-similar in…

High Energy Astrophysical Phenomena · Physics 2015-06-22 Jonathan Zrake

Three-dimensional, compressible, magnetohydrodynamic turbulence of an isothermal, self-gravitating fluid is analyzed using two-point statistics in the asymptotic limit of large Reynolds numbers (both kinetic and magnetic). Following an…

Fluid Dynamics · Physics 2018-03-14 Supratik Banerjee , Alexei G. Kritsuk

The existence of a total energy cascade and the scale-locality of the total energy flux are rigorously established working directly from the 3D MHD equations and under assumptions consistent with physical properties of turbulent plasmas.…

Mathematical Physics · Physics 2015-06-12 Z. Bradshaw , Z. Grujić

This paper examines the consistency of the exact scaling laws for isotropic MHD turbulence in numerical simulations with large magnetic Prandtl numbers Pm and with Pm=1. The exact laws are used to elucidate the structure of the magnetic and…

Astrophysics · Physics 2008-11-26 Tarek A. Yousef , Francois Rincon , Alexander A. Schekochihin

The shell-to-shell energy transfer rates for magnetohydrodynamic (MHD) turbulence are computed analytically, which shows local energy transfer rates from velocity to velocity, velocity to magnetic, magnetic to velocity, and magnetic to…

Chaotic Dynamics · Physics 2020-06-16 Mahendra K. Verma , Arvind Ayyer , Amar V. Chandra

Nonhelical hydromagnetic forced turbulence is investigated using large scale simulations on up to 256 processors and $1024^3$ meshpoints. The magnetic Prandtl number is varied between 1/8 and 30, although in most cases it is unity. When the…

Astrophysics · Physics 2007-05-23 Nils Erland L. Haugen , Axel Brandenburg , Wolfgang Dobler

Decaying electron magnetohydrodynamic (EMHD) turbulence in three dimensions is studied via high-resolution numerical simulations. The resulting energy spectra asymptotically approach a k^{-2} law with increasing R_B, the ratio of the…

Plasma Physics · Physics 2015-05-13 C. J. Wareing , R. Hollerbach