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Inertial range scaling, Karman-Howarth theorem, and intermittency for forced and decaying Lagrangian averaged magnetohydrodynamic equations in two dimensions
File(s)
1.2194966.pdf (448.22 KB)
Published version
Author(s)
Graham, JP
Holm, DD
Mininni, P
Pouquet, A
Type
Journal Article
Abstract
We present an extension of the Kármán-Howarth theorem to the Lagrangian averaged magnetohydrodynamic (LAMHD-α) equations. The scaling laws resulting as a corollary of this theorem are studied in numerical simulations, as well as the scaling of the longitudinal structure function exponents indicative of intermittency. Numerical simulations for a magnetic Prandtl number equal to unity are presented both for freely decaying and for forced two-dimensional magnetohydrodynamic (MHD) turbulence, solving the MHD equations directly, and employing the LAMHD-α equations at 1∕2 and 1∕4 resolution. Linear scaling of the third-order structure function with length is observed. The LAMHD-α
equations also capture the anomalous scaling of the longitudinal structure function exponents up to order 8.
Date Issued
2006-04-01
Date Acceptance
2006-03-08
Citation
Physics of Fluids, 2006, 18 (4)
URI
DOI
ISSN
1070-6631
Publisher
AIP Publishing
Journal / Book Title
Physics of Fluids
Volume
18
Issue
4
Copyright Statement
© 2006 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Physics of Fluids, Volume 18, Issue 4 and may be found at https://dx.doi.org/10.1063/1.2194966
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000237136900038&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Technology
Physical Sciences
Mechanics
Physics, Fluids & Plasmas
Physics
FULLY-DEVELOPED TURBULENCE
LARGE-EDDY SIMULATION
STOKES-ALPHA MODEL
SUBGRID-SCALE
SOLAR-CYCLE
ENERGY-DISSIPATION
FLUID-DYNAMICS
FLOWS
FLUCTUATIONS
FIELD
Publication Status
Published
Article Number
045106
Date Publish Online
2006-04-24