Recent developments in the theory of magnetohydrodynamic turbulence
Recent developments in the theory of magnetohydrodynamic turbulence
Recent results based on high?resolution direct numerical simulations of incompressible magnetohydrodynamic (MHD) turbulence are summarized. With regard to the nonlinear dynamics of turbulent energy a yet unexplained scaling behavior is found in systems permeated by a strong mean magnetic field which contradicts the phenomenological Goldreich?Sridhar picture. For macroscopically isotropic and anisotropic MHD turbulence EDQNM closure analysis leads to a simple relation between the spectra of total (EkK?+?EkM) and residual (?EkK???EkM?) energy. The relation is based on a clear physical picture and is well confirmed by numerical simulations. In addition, the Lagrangian approach is presented as a straightforward diagnostic for the investigation of turbulent diffusion and pair?dispersion. Some results from a comparative study of pair?dispersion in Navier?Stokes and MHD turbulence are briefly outlined. It is shown that the presence of magnetic fluctuations significantly reduces turbulent dispersion due to the alignment of velocity fluctuations with the local mean magnetic field
52-57
Müller, Wolf-Christian
8a91c36f-d4a0-406b-9006-c75b111dcf82
Busse, Angela
0430b320-341b-4c73-9cb5-f35632d562a4
2007
Müller, Wolf-Christian
8a91c36f-d4a0-406b-9006-c75b111dcf82
Busse, Angela
0430b320-341b-4c73-9cb5-f35632d562a4
Müller, Wolf-Christian and Busse, Angela
(2007)
Recent developments in the theory of magnetohydrodynamic turbulence.
AIP Conference Proceedings, 932, .
(doi:10.1063/1.2778945).
Abstract
Recent results based on high?resolution direct numerical simulations of incompressible magnetohydrodynamic (MHD) turbulence are summarized. With regard to the nonlinear dynamics of turbulent energy a yet unexplained scaling behavior is found in systems permeated by a strong mean magnetic field which contradicts the phenomenological Goldreich?Sridhar picture. For macroscopically isotropic and anisotropic MHD turbulence EDQNM closure analysis leads to a simple relation between the spectra of total (EkK?+?EkM) and residual (?EkK???EkM?) energy. The relation is based on a clear physical picture and is well confirmed by numerical simulations. In addition, the Lagrangian approach is presented as a straightforward diagnostic for the investigation of turbulent diffusion and pair?dispersion. Some results from a comparative study of pair?dispersion in Navier?Stokes and MHD turbulence are briefly outlined. It is shown that the presence of magnetic fluctuations significantly reduces turbulent dispersion due to the alignment of velocity fluctuations with the local mean magnetic field
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Published date: 2007
Organisations:
Aerodynamics & Flight Mechanics Group
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Local EPrints ID: 342448
URI: http://eprints.soton.ac.uk/id/eprint/342448
ISSN: 1551-7616
PURE UUID: fbf18bfa-eccb-4407-9fe1-71dc156b0438
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Date deposited: 18 Oct 2012 13:28
Last modified: 14 Mar 2024 11:51
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Author:
Wolf-Christian Müller
Author:
Angela Busse
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