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Lagrangian frequency spectrum as a diagnostic for magnetohydrodynamic turbulence dynamics

Lagrangian frequency spectrum as a diagnostic for magnetohydrodynamic turbulence dynamics
Lagrangian frequency spectrum as a diagnostic for magnetohydrodynamic turbulence dynamics
For the phenomenological description of magnetohydrodynamic turbulence competing models exist, e.g., Boldyrev Phys. Rev. Lett. 96 115002 (2006) and Gogoberidze Phys. Plasmas 14 022304 (2007), which predict the same Eulerian inertial-range scaling of the turbulent energy spectrum although they employ fundamentally different basic interaction mechanisms. A relation is found that links the Lagrangian frequency spectrum with the autocorrelation time scale of the turbulent fluctuations ?ac and the associated cascade time scale ?cas. Thus, the Lagrangian energy spectrum can serve to identify weak (?ac??cas) and strong (?ac??cas) interaction mechanisms providing insight into the turbulent energy cascade. The new approach is illustrated by results from direct numerical simulations of two- and three-dimensional incompressible MHD turbulence
235005-[4pp]
Busse, Angela
0430b320-341b-4c73-9cb5-f35632d562a4
Müller, Wolf-Christian
8a91c36f-d4a0-406b-9006-c75b111dcf82
Gogoberidze, Grigol
60cd7c65-e346-47f9-943e-bbd5ec01a7a5
Busse, Angela
0430b320-341b-4c73-9cb5-f35632d562a4
Müller, Wolf-Christian
8a91c36f-d4a0-406b-9006-c75b111dcf82
Gogoberidze, Grigol
60cd7c65-e346-47f9-943e-bbd5ec01a7a5

Busse, Angela, Müller, Wolf-Christian and Gogoberidze, Grigol (2010) Lagrangian frequency spectrum as a diagnostic for magnetohydrodynamic turbulence dynamics. Physical Review Letters, 105 (23), 235005-[4pp]. (doi:10.1103/PhysRevLett.105.235005).

Record type: Article

Abstract

For the phenomenological description of magnetohydrodynamic turbulence competing models exist, e.g., Boldyrev Phys. Rev. Lett. 96 115002 (2006) and Gogoberidze Phys. Plasmas 14 022304 (2007), which predict the same Eulerian inertial-range scaling of the turbulent energy spectrum although they employ fundamentally different basic interaction mechanisms. A relation is found that links the Lagrangian frequency spectrum with the autocorrelation time scale of the turbulent fluctuations ?ac and the associated cascade time scale ?cas. Thus, the Lagrangian energy spectrum can serve to identify weak (?ac??cas) and strong (?ac??cas) interaction mechanisms providing insight into the turbulent energy cascade. The new approach is illustrated by results from direct numerical simulations of two- and three-dimensional incompressible MHD turbulence

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Published date: December 2010
Organisations: Aerodynamics & Flight Mechanics Group

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Local EPrints ID: 342445
URI: https://eprints.soton.ac.uk/id/eprint/342445
PURE UUID: df74d78a-2e33-43de-8bd8-ba56e77568a9

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Date deposited: 30 Aug 2012 08:26
Last modified: 18 Jul 2017 05:29

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