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Article: Renormalization Group Analysis of Magnetohydrodynamic Turbulence with the Alfvén Effect

TitleRenormalization Group Analysis of Magnetohydrodynamic Turbulence with the Alfvén Effect
Authors
KeywordsAlfvén Effect
Effective Eddy Viscosity
Magnetic Resistivity
Magnetohydrodynamic Turbulence
Renormalization Group Analysis
Issue Date2002
PublisherInstitute of Pure and Applied Physics. The Journal's web site is located at http://www.ipap.jp/jpsj/index.htm
Citation
Journal of the Physical Society of Japan, 2002, v. 71 n. 6, p. 1450-1462 How to Cite?
AbstractIn this study, we continue with a recursive renormalization group (RG) analysis of incompressible turbulence, aiming at investigating various turbulent properties of three-dimensional magneto-hydrodynamics (MHD). In particular, we are able to locate the fixed point (i.e. the invariant effective eddy viscosity) of the RG transformation under the following conditions. (i) The mean magnetic induction is relatively weak compared to the mean flow velocity. (ii) The Alfvén effect holds, that is, the fluctuating velocity and magnetic induction are nearly parallel and approximately equal in magnitude. It is found under these conditions that re-normalization does not incur an increment of the magnetic resistivity, while the coupling effect tends to reduce the invariant effective eddy viscosity. Both the velocity and magnetic energy spectra are shown to follow the Kolmogorov k-5/3 in the inertial subrange; this is consistent with some laboratory measurements and observations in astronomical physics. By assuming further that the velocity and magnetic induction share the same specified form of energy spectrum, we are able to determine the dependence of the (magnetic) Kolmogorov constant C K (CM) and the model constant CS of the Smagorinsky model for large-eddy simulation on some characteristic wavenumbers.
Persistent Identifierhttp://hdl.handle.net/10722/91122
ISSN
2015 Impact Factor: 1.559
2015 SCImago Journal Rankings: 0.720
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChang, CCen_HK
dc.contributor.authorLin, B-Sen_HK
dc.date.accessioned2010-09-17T10:13:21Z-
dc.date.available2010-09-17T10:13:21Z-
dc.date.issued2002en_HK
dc.identifier.citationJournal of the Physical Society of Japan, 2002, v. 71 n. 6, p. 1450-1462en_HK
dc.identifier.issn0031-9015en_HK
dc.identifier.urihttp://hdl.handle.net/10722/91122-
dc.description.abstractIn this study, we continue with a recursive renormalization group (RG) analysis of incompressible turbulence, aiming at investigating various turbulent properties of three-dimensional magneto-hydrodynamics (MHD). In particular, we are able to locate the fixed point (i.e. the invariant effective eddy viscosity) of the RG transformation under the following conditions. (i) The mean magnetic induction is relatively weak compared to the mean flow velocity. (ii) The Alfvén effect holds, that is, the fluctuating velocity and magnetic induction are nearly parallel and approximately equal in magnitude. It is found under these conditions that re-normalization does not incur an increment of the magnetic resistivity, while the coupling effect tends to reduce the invariant effective eddy viscosity. Both the velocity and magnetic energy spectra are shown to follow the Kolmogorov k-5/3 in the inertial subrange; this is consistent with some laboratory measurements and observations in astronomical physics. By assuming further that the velocity and magnetic induction share the same specified form of energy spectrum, we are able to determine the dependence of the (magnetic) Kolmogorov constant C K (CM) and the model constant CS of the Smagorinsky model for large-eddy simulation on some characteristic wavenumbers.en_HK
dc.languageengen_HK
dc.publisherInstitute of Pure and Applied Physics. The Journal's web site is located at http://www.ipap.jp/jpsj/index.htmen_HK
dc.relation.ispartofJournal of the Physical Society of Japanen_HK
dc.subjectAlfvén Effecten_HK
dc.subjectEffective Eddy Viscosityen_HK
dc.subjectMagnetic Resistivityen_HK
dc.subjectMagnetohydrodynamic Turbulenceen_HK
dc.subjectRenormalization Group Analysisen_HK
dc.titleRenormalization Group Analysis of Magnetohydrodynamic Turbulence with the Alfvén Effecten_HK
dc.typeArticleen_HK
dc.identifier.emailLin, B:blin@hku.hken_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1143/JPSJ.71.1450en_HK
dc.identifier.scopuseid_2-s2.0-0036336438en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0036336438&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume71en_HK
dc.identifier.issue6en_HK
dc.identifier.spage1450en_HK
dc.identifier.epage1462en_HK
dc.identifier.isiWOS:000176195000009-

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