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dc.contributor.authorWan, Minping
dc.contributor.authorOughton, Sean
dc.contributor.authorMatthaeus, William H.
dc.date.accessioned2010-10-10T22:02:18Z
dc.date.available2010-10-10T22:02:18Z
dc.date.issued2010
dc.identifier.citationWan, M., Oughton, S. & Matthaeus, W.H. (2010). On the accuracy of simulations of turbulence. Physics of Plasmas, 17(8), 082308.en_NZ
dc.identifier.urihttps://hdl.handle.net/10289/4675
dc.description.abstractThe widely recognized issue of adequate spatial resolution in numerical simulations of turbulence is studied in the context of two-dimensional magnetohydrodynamics. The familiar criterion that the dissipation scale should be resolved enables accurate computation of the spectrum, but fails for precise determination of higher-order statistical quantities. Examination of two straightforward diagnostics, the maximum of the kurtosis and the scale-dependent kurtosis, enables the development of simple tests for assessing adequacy of spatial resolution. The efficacy of the tests is confirmed by examining a sample problem, the distribution of magnetic reconnection rates in turbulence. Oversampling the Kolmogorov dissipation scale by a factor of 3 allows accurate computation of the kurtosis, the scale-dependent kurtosis, and the reconnection rates. These tests may provide useful guidance for resolution requirements in many plasma computations involving turbulence and reconnection.en_NZ
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.publisherAmerican Institute of Physicsen_NZ
dc.relation.urihttp://pop.aip.org/resource/1/phpaen/v17/i8/p082308_s1en_NZ
dc.rightsCopyright (2010) 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.en_NZ
dc.subjectturbulenceen_NZ
dc.subjectmathematicsen_NZ
dc.titleOn the accuracy of simulations of turbulenceen_NZ
dc.typeJournal Articleen_NZ
dc.identifier.doi10.1063/1.3474957en_NZ
dc.relation.isPartOfPhysics of Plasmasen_NZ
pubs.begin-page1en_NZ
pubs.elements-id35389
pubs.end-page9en_NZ
pubs.issue8en_NZ
pubs.volume17en_NZ
uow.identifier.article-noARTN 082308en_NZ


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