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Title: Nonlocality and the critical Reynolds numbers of the minimum state magnetohydrodynamic turbulence

Abstract

Magnetohydrodynamic (MHD) systems can be strongly nonlinear (turbulent) when their kinetic and magnetic Reynolds numbers are high, as is the case in many astrophysical and space plasma flows. Unfortunately these high Reynolds numbers are typically much greater than those currently attainable in numerical simulations of MHD turbulence. A natural question to ask is how can researchers be sure that their simulations have reproduced all of the most influential physics of the flows and magnetic fields? In this paper, a metric is defined to indicate whether the necessary physics of interest has been captured. It is found that current computing resources will typically not be sufficient to achieve this minimum state metric.

Authors:
 [1];  [2]
  1. Lawrence Livermore National Laboratory, Livermore, California 94550 (United States)
  2. Department of Mathematics, University of Waikato, Hamilton 3240 (New Zealand)
Publication Date:
OSTI Identifier:
22046877
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 18; Journal Issue: 7; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ASTROPHYSICS; COMPUTERIZED SIMULATION; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; NONLINEAR PROBLEMS; PLASMA; PLASMA SIMULATION; REYNOLDS NUMBER; TURBULENCE

Citation Formats

Zhou Ye, and Oughton, Sean. Nonlocality and the critical Reynolds numbers of the minimum state magnetohydrodynamic turbulence. United States: N. p., 2011. Web. doi:10.1063/1.3606473.
Zhou Ye, & Oughton, Sean. Nonlocality and the critical Reynolds numbers of the minimum state magnetohydrodynamic turbulence. United States. doi:10.1063/1.3606473.
Zhou Ye, and Oughton, Sean. Fri . "Nonlocality and the critical Reynolds numbers of the minimum state magnetohydrodynamic turbulence". United States. doi:10.1063/1.3606473.
@article{osti_22046877,
title = {Nonlocality and the critical Reynolds numbers of the minimum state magnetohydrodynamic turbulence},
author = {Zhou Ye and Oughton, Sean},
abstractNote = {Magnetohydrodynamic (MHD) systems can be strongly nonlinear (turbulent) when their kinetic and magnetic Reynolds numbers are high, as is the case in many astrophysical and space plasma flows. Unfortunately these high Reynolds numbers are typically much greater than those currently attainable in numerical simulations of MHD turbulence. A natural question to ask is how can researchers be sure that their simulations have reproduced all of the most influential physics of the flows and magnetic fields? In this paper, a metric is defined to indicate whether the necessary physics of interest has been captured. It is found that current computing resources will typically not be sufficient to achieve this minimum state metric.},
doi = {10.1063/1.3606473},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 7,
volume = 18,
place = {United States},
year = {2011},
month = {7}
}