TITLE

On the accuracy of simulations of turbulence

AUTHOR(S)
Wan, M.; Oughton, S.; Servidio, S.; Matthaeus, W. H.
PUB. DATE
August 2010
SOURCE
Physics of Plasmas;Aug2010, Vol. 17 Issue 8, p082308
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The widely recognized issue of adequate spatial resolution in numerical simulations of turbulence is studied in the context of two-dimensional magnetohydrodynamics. The familiar criterion that the dissipation scale should be resolved enables accurate computation of the spectrum, but fails for precise determination of higher-order statistical quantities. Examination of two straightforward diagnostics, the maximum of the kurtosis and the scale-dependent kurtosis, enables the development of simple tests for assessing adequacy of spatial resolution. The efficacy of the tests is confirmed by examining a sample problem, the distribution of magnetic reconnection rates in turbulence. Oversampling the Kolmogorov dissipation scale by a factor of 3 allows accurate computation of the kurtosis, the scale-dependent kurtosis, and the reconnection rates. These tests may provide useful guidance for resolution requirements in many plasma computations involving turbulence and reconnection.
ACCESSION #
53421740

 

Related Articles

  • Rapid dissipation of magnetic field energy driven by plasma flows in force-free collisionless pair plasmas. Haruki, T.; Sakai, J. I. // Physics of Plasmas;May2001, Vol. 8 Issue 5, p1538 

    The spontaneous fast reconnection evolution is studied in a long current sheet system in various physical situations, where the threshold of current-driven anomalous resistivity is assumed to increase with the thermal velocity. If the initial threshold V[sub co] is sufficiently large in a...

  • Intrinsic rotation driven by the electrostatic turbulence in up-down asymmetric toroidal plasmas. Camenen, Y.; Peeters, A. G.; Angioni, C.; Casson, F. J.; Hornsby, W. A.; Snodin, A. P.; Strintzi, D. // Physics of Plasmas;Jun2009, Vol. 16 Issue 6, p062501 

    The transport of parallel momentum by small scale fluctuations is intrinsically linked to symmetry breaking in the direction of the magnetic field. In tokamaks, an up-down asymmetry in the equilibrium proves to be an efficient parallel symmetry breaking mechanism leading to the generation of a...

  • Flow of a two-fluid plasma carrying a pulsed current in a steady-state magnetic field. Ostrovskaya, G. V. // Technical Physics;Nov2008, Vol. 53 Issue 11, p1391 

    The problem of the motion of plasma carrying a pulsed current in a steady-state magnetic field is solved in terms of two-fluid magnetohydrodynamics. The initial directions of the force and current vectors are determined, and the relations that determine their time evolution are obtained. The...

  • A simple, analytical model of collisionless magnetic reconnection in a pair plasma. Hesse, Michael; Zenitani, Seiji; Kuznetsova, Masha; Klimas, Alex // Physics of Plasmas;Oct2009, Vol. 16 Issue 10, p102106 

    A set of conservation equations is utilized to derive balance equations in the reconnection diffusion region of a symmetric pair plasma. The reconnection electric field is assumed to have the function to maintain the current density in the diffusion region and to impart thermal energy to the...

  • Ion thermal double layers in a pair-ion warm magnetized plasma containing charged dust impurities. El-Labany, S. K.; El-Bedwehy, N. A.; El-Shamy, E. F. // Physics of Plasmas;Jun2009, Vol. 16 Issue 6, p063706 

    In this paper the formation and the dynamics of ion thermal double layers (ITDLs) in a magnetized plasma, composed of positive and negative ions as well as a fraction of stationary charged (positive or negative) dust impurities have been studied. Using plasma hydrodynamics and Poisson equations...

  • Nonlinear electron magnetohydrodynamics physics. V. Triggered whistler emissions. Stenzel, R. L.; Strohmaier, K. D.; Urrutia, J. M. // Physics of Plasmas;Jun2008, Vol. 15 Issue 6, p062110 

    Laboratory experiments on whistler instabilities in the presence of small trigger waves have been performed. The instabilities arise from energizing electrons in magnetic null lines with time-varying magnetic fields. Such fields are created with loop antennas carrying large oscillating currents...

  • Temporal evolution of neoclassical tearing modes in the frequently interrupted regime. Dumbrajs, O.; Igochine, V.; Gude, A.; Maraschek, M.; Zohm, H. // Physics of Plasmas;Apr2010, Vol. 17 Issue 4, p042118 

    A phenomenological method for description of temporal evolution of neoclassical tearing modes in the frequently interrupted regime (FIR) is proposed. The method makes it possible to predict the beginning and the end of the FIR regime as well as the frequency of the FIR drops. A few experimental...

  • Three-dimensional fluid simulations of a simple magnetized toroidal plasma. Ricci, Paolo; Rogers, B. N. // Physics of Plasmas;Sep2009, Vol. 16 Issue 9, p092307 

    Three-dimensional fluid simulations are performed in a simple magnetized toroidal plasma, in which vertical and toroidal magnetic fields create helicoidal magnetic field lines that terminate on the torus vessel. The simulations are carried out in the three-dimensional flux tube that wraps around...

  • The third-order law for magnetohydrodynamic turbulence with shear: Numerical investigation. Wan, M.; Servidio, S.; Oughton, S.; Matthaeus, W. H. // Physics of Plasmas;May2010, Vol. 17 Issue 5, p052307 

    The scaling laws of third-order structure functions for isotropic, homogeneous, and incompressible magnetohydrodynamic (MHD) turbulence relate the observable structure function with the energy dissipation rate. Recently [Wan et al. Phys. Plasmas 16, 090703 (2009)], the theory was extended to the...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics