Direct comparisons of compressible magnetohydrodynamics and reduced magnetohydrodynamics turbulence

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dc.contributor.authorOughton, Sean
dc.contributor.authorDmitruk, Pablo
dc.contributor.authorMatthaeus, William H.
dc.date.accessioned2008-11-04T01:51:40Z
dc.date.available2008-11-04T01:51:40Z
dc.date.issued2005-11-11
dc.description.abstractDirect numerical simulations of low Mach number compressible three-dimensional magnetohydrodynamic (CMHD3D) turbulence in the presence of a strong mean magnetic field are compared with simulations of reduced magnetohydrodynamics (RMHD). Periodic boundary conditions in the three spatial coordinates are considered. Different sets of initial conditions are chosen to explore the applicability of RMHD and to study how close the solution remains to the full compressible MHD solution as both freely evolve in time. In a first set, the initial state is prepared to satisfy the conditions assumed in the derivation of RMHD, namely, a strong mean magnetic field and plane-polarized fluctuations, varying weakly along the mean magnetic field. In those circumstances, simulations show that RMHD and CMHD3D evolve almost indistinguishably from one another. When some of the conditions are relaxed the agreement worsens but RMHD remains fairly close to CMHD3D, especially when the mean magnetic field is large enough. Moreover, the well-known spectral anisotropy effect promotes the dynamical attainment of the conditions for RMHD applicability. Global quantities (mean energies, mean-square current, and vorticity) and energy spectra from the two solutions are compared and point-to-point separation estimations are computed. The specific results shown here give support to the use of RMHD as a valid approximation of compressible MHD with a mean magnetic field under certain but quite practical conditions.en_US
dc.format.mimetypeapplication/pdf
dc.identifier.citationOughton, S., Dmitruk, P. & Matthaeus, W. H. (2005). Direct comparisons of compressible magnetohydrodynamics and reduced magnetohydrodynamics turbulence . Physics of Plasmas, 12, 112304 .en_US
dc.identifier.doi10.1063/1.2128573en_US
dc.identifier.issn1070-664X
dc.identifier.urihttps://hdl.handle.net/10289/1264
dc.language.isoen
dc.publisherAmerican Institute of Physicsen_NZ
dc.relation.isPartOfPhysics of Plasmasen_NZ
dc.relation.urihttp://link.aip.org/link/?PHPAEN/12/112304/1en_US
dc.rightsCopyright 2005 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 the journal Physics of Plasmas and may be found at http://jmp.aip.org/jmp/top.jspen_US
dc.subjectmathematicsen_US
dc.subjectplasma magnetohydrodynamicsen_US
dc.subjectplasma turbulenceen_US
dc.subjectplasma simulationen_US
dc.subjectmach numberen_US
dc.subjectplasma fluctuationsen_US
dc.subjectplasma transport processesen_US
dc.subjectvorticesen_US
dc.titleDirect comparisons of compressible magnetohydrodynamics and reduced magnetohydrodynamics turbulenceen_US
dc.typeJournal Articleen_US
pubs.begin-page1en_NZ
pubs.elements-id31934
pubs.end-page11en_NZ
pubs.issue11en_NZ
pubs.volume12en_NZ
uow.identifier.article-noARTN 112304en_NZ
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