Inertial Range Scaling, Karman-Howarth Theorem and Intermittency for Forced and Decaying Lagrangian Averaged MHD in 2D

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dc.creatorGraham, J. Pietarila
dc.creatorHolm, D. D.
dc.creatorMininni, P.
dc.creatorPouquet, A.
dc.date2005-08-24
dc.date2006-04-03
dc.date.accessioned2026-07-07T06:43:25Z
dc.date.available2026-07-07T06:43:25Z
dc.descriptionWe present an extension of the Karman-Howarth theorem to the Lagrangian averaged magnetohydrodynamic (LAMHD-alpha) 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 MHD turbulence, solving directly the MHD equations, and employing the LAMHD-alpha equations at 1/2 and 1/4 resolution. Linear scaling of the third-order structure function with length is observed. The LAMHD-alpha equations also capture the anomalous scaling of the longitudinal structure function exponents up to order 8.
dc.description34 pages, 7 figures author institution addresses added magnetic Prandtl number stated clearly
dc.identifierhttps://arxiv.org/abs/physics/0508173
dc.identifierhttp://arxiv.org/abs/physics/0508173
dc.identifierPhys.Fluids 18 (2006) 045106
dc.identifierdoi:10.1063/1.2194966
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102407
dc.subjectFluid Dynamics
dc.subjectAstrophysics
dc.subjectChaotic Dynamics
dc.subjectPlasma Physics
dc.titleInertial Range Scaling, Karman-Howarth Theorem and Intermittency for Forced and Decaying Lagrangian Averaged MHD in 2D
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