Inertial range scaling, Kármán-Howarth theorem, and intermittency for forced and decaying Lagrangian averaged magnetohydrodynamic equations in two dimensions | Zendy

Jonathan Pietarila Graham | Zendy; Darryl D. Holm | Zendy; P. D. Mininni | Zendy; A. Pouquet | Zendy

Open Access

Inertial range scaling, Kármán-Howarth theorem, and intermittency for forced and decaying Lagrangian averaged magnetohydrodynamic equations in two dimensions

Author(s) -

Jonathan Pietarila Graham,

Darryl D. Holm,

P. D. Mininni,

A. Pouquet

Publication year - 2006

Publication title -

physics of fluids

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.188

H-Index - 180

eISSN - 1089-7666

pISSN - 1070-6631

DOI - 10.1063/1.2194966

Subject(s) - physics , intermittency , magnetohydrodynamic drive , magnetohydrodynamics , magnetohydrodynamic turbulence , scaling , turbulence , prandtl number , classical mechanics , mathematical analysis , mathematical physics , magnetic field , mechanics , geometry , mathematics , quantum mechanics , convection

We present an extension of the Karman-Howarth theorem to the Lagrangianaveraged magnetohydrodynamic (LAMHD-alpha) equations. The scaling lawsresulting as a corollary of this theorem are studied in numerical simulations,as well as the scaling of the longitudinal structure function exponentsindicative of intermittency. Numerical simulations for a magnetic Prandtlnumber equal to unity are presented both for freely decaying and for forced twodimensional MHD turbulence, solving directly the MHD equations, and employingthe LAMHD-alpha equations at 1/2 and 1/4 resolution. Linear scaling of thethird-order structure function with length is observed. The LAMHD-alphaequations also capture the anomalous scaling of the longitudinal structurefunction exponents up to order 8.Comment: 34 pages, 7 figures author institution addresses added magnetic Prandtl number stated clearl

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