Structures in magnetohydrodynamic turbulence: Detection and scaling

Autores
Uritsky, Vadim; Pouquet, A.; Rosenberg, Duane; Mininni, Pablo Daniel; Donovan, E.F.
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We present a systematic analysis of statistical properties of turbulent current and vorticity structures at a given time using cluster analysis. The data stem from numerical simulations of decaying three-dimensional magnetohydrodynamic turbulence in the absence of an imposed uniform magnetic field; the magnetic Prandtl number is taken equal to unity, and we use a periodic box with grids of up to 15363 points and with Taylor Reynolds numbers up to 1100. The initial conditions are either an X -point configuration embedded in three dimensions, the so-called Orszag-Tang vortex, or an Arn'old-Beltrami-Childress configuration with a fully helical velocity and magnetic field. In each case two snapshots are analyzed, separated by one turn-over time, starting just after the peak of dissipation. We show that the algorithm is able to select a large number of structures (in excess of 8000) for each snapshot and that the statistical properties of these clusters are remarkably similar for the two snapshots as well as for the two flows under study in terms of scaling laws for the cluster characteristics, with the structures in the vorticity and in the current behaving in the same way. We also study the effect of Reynolds number on cluster statistics, and we finally analyze the properties of these clusters in terms of their velocity-magnetic- field correlation. Self-organized criticality features have been identified in the dissipative range of scales. A different scaling arises in the inertial range, which cannot be identified for the moment with a known self-organized criticality class consistent with magnetohydrodynamics. We suggest that this range can be governed by turbulence dynamics as opposed to criticality and propose an interpretation of intermittency in terms of propagation of local instabilities. © 2010 The American Physical Society.
Fil: Uritsky, Vadim. University of Calgary; Canadá
Fil: Pouquet, A.. National Center for Atmospheric Research; Estados Unidos
Fil: Rosenberg, Duane. National Center for Atmospheric Research; Estados Unidos
Fil: Mininni, Pablo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Donovan, E.F.. University of Calgary; Canadá
Materia
Magnetohydrodynamics And Electrohydrodynamics
High-Reynolds-Number Turbulence
Mhd Waves
Plasma Waves, Turbulence, Magnetohydrodynamics And Plasmas
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/57155

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spelling Structures in magnetohydrodynamic turbulence: Detection and scalingUritsky, VadimPouquet, A.Rosenberg, DuaneMininni, Pablo DanielDonovan, E.F.Magnetohydrodynamics And ElectrohydrodynamicsHigh-Reynolds-Number TurbulenceMhd WavesPlasma Waves, Turbulence, Magnetohydrodynamics And Plasmashttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We present a systematic analysis of statistical properties of turbulent current and vorticity structures at a given time using cluster analysis. The data stem from numerical simulations of decaying three-dimensional magnetohydrodynamic turbulence in the absence of an imposed uniform magnetic field; the magnetic Prandtl number is taken equal to unity, and we use a periodic box with grids of up to 15363 points and with Taylor Reynolds numbers up to 1100. The initial conditions are either an X -point configuration embedded in three dimensions, the so-called Orszag-Tang vortex, or an Arn'old-Beltrami-Childress configuration with a fully helical velocity and magnetic field. In each case two snapshots are analyzed, separated by one turn-over time, starting just after the peak of dissipation. We show that the algorithm is able to select a large number of structures (in excess of 8000) for each snapshot and that the statistical properties of these clusters are remarkably similar for the two snapshots as well as for the two flows under study in terms of scaling laws for the cluster characteristics, with the structures in the vorticity and in the current behaving in the same way. We also study the effect of Reynolds number on cluster statistics, and we finally analyze the properties of these clusters in terms of their velocity-magnetic- field correlation. Self-organized criticality features have been identified in the dissipative range of scales. A different scaling arises in the inertial range, which cannot be identified for the moment with a known self-organized criticality class consistent with magnetohydrodynamics. We suggest that this range can be governed by turbulence dynamics as opposed to criticality and propose an interpretation of intermittency in terms of propagation of local instabilities. © 2010 The American Physical Society.Fil: Uritsky, Vadim. University of Calgary; CanadáFil: Pouquet, A.. National Center for Atmospheric Research; Estados UnidosFil: Rosenberg, Duane. National Center for Atmospheric Research; Estados UnidosFil: Mininni, Pablo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaFil: Donovan, E.F.. University of Calgary; CanadáAmerican Physical Society2010-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/57155Uritsky, Vadim; Pouquet, A.; Rosenberg, Duane; Mininni, Pablo Daniel; Donovan, E.F.; Structures in magnetohydrodynamic turbulence: Detection and scaling; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 82; 5; 11-2010; 5632601-56326151539-3755CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://link.aps.org/doi/10.1103/PhysRevE.82.056326info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.82.056326info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:33:20Zoai:ri.conicet.gov.ar:11336/57155instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:33:21.085CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Structures in magnetohydrodynamic turbulence: Detection and scaling
title Structures in magnetohydrodynamic turbulence: Detection and scaling
spellingShingle Structures in magnetohydrodynamic turbulence: Detection and scaling
Uritsky, Vadim
Magnetohydrodynamics And Electrohydrodynamics
High-Reynolds-Number Turbulence
Mhd Waves
Plasma Waves, Turbulence, Magnetohydrodynamics And Plasmas
title_short Structures in magnetohydrodynamic turbulence: Detection and scaling
title_full Structures in magnetohydrodynamic turbulence: Detection and scaling
title_fullStr Structures in magnetohydrodynamic turbulence: Detection and scaling
title_full_unstemmed Structures in magnetohydrodynamic turbulence: Detection and scaling
title_sort Structures in magnetohydrodynamic turbulence: Detection and scaling
dc.creator.none.fl_str_mv Uritsky, Vadim
Pouquet, A.
Rosenberg, Duane
Mininni, Pablo Daniel
Donovan, E.F.
author Uritsky, Vadim
author_facet Uritsky, Vadim
Pouquet, A.
Rosenberg, Duane
Mininni, Pablo Daniel
Donovan, E.F.
author_role author
author2 Pouquet, A.
Rosenberg, Duane
Mininni, Pablo Daniel
Donovan, E.F.
author2_role author
author
author
author
dc.subject.none.fl_str_mv Magnetohydrodynamics And Electrohydrodynamics
High-Reynolds-Number Turbulence
Mhd Waves
Plasma Waves, Turbulence, Magnetohydrodynamics And Plasmas
topic Magnetohydrodynamics And Electrohydrodynamics
High-Reynolds-Number Turbulence
Mhd Waves
Plasma Waves, Turbulence, Magnetohydrodynamics And Plasmas
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We present a systematic analysis of statistical properties of turbulent current and vorticity structures at a given time using cluster analysis. The data stem from numerical simulations of decaying three-dimensional magnetohydrodynamic turbulence in the absence of an imposed uniform magnetic field; the magnetic Prandtl number is taken equal to unity, and we use a periodic box with grids of up to 15363 points and with Taylor Reynolds numbers up to 1100. The initial conditions are either an X -point configuration embedded in three dimensions, the so-called Orszag-Tang vortex, or an Arn'old-Beltrami-Childress configuration with a fully helical velocity and magnetic field. In each case two snapshots are analyzed, separated by one turn-over time, starting just after the peak of dissipation. We show that the algorithm is able to select a large number of structures (in excess of 8000) for each snapshot and that the statistical properties of these clusters are remarkably similar for the two snapshots as well as for the two flows under study in terms of scaling laws for the cluster characteristics, with the structures in the vorticity and in the current behaving in the same way. We also study the effect of Reynolds number on cluster statistics, and we finally analyze the properties of these clusters in terms of their velocity-magnetic- field correlation. Self-organized criticality features have been identified in the dissipative range of scales. A different scaling arises in the inertial range, which cannot be identified for the moment with a known self-organized criticality class consistent with magnetohydrodynamics. We suggest that this range can be governed by turbulence dynamics as opposed to criticality and propose an interpretation of intermittency in terms of propagation of local instabilities. © 2010 The American Physical Society.
Fil: Uritsky, Vadim. University of Calgary; Canadá
Fil: Pouquet, A.. National Center for Atmospheric Research; Estados Unidos
Fil: Rosenberg, Duane. National Center for Atmospheric Research; Estados Unidos
Fil: Mininni, Pablo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Donovan, E.F.. University of Calgary; Canadá
description We present a systematic analysis of statistical properties of turbulent current and vorticity structures at a given time using cluster analysis. The data stem from numerical simulations of decaying three-dimensional magnetohydrodynamic turbulence in the absence of an imposed uniform magnetic field; the magnetic Prandtl number is taken equal to unity, and we use a periodic box with grids of up to 15363 points and with Taylor Reynolds numbers up to 1100. The initial conditions are either an X -point configuration embedded in three dimensions, the so-called Orszag-Tang vortex, or an Arn'old-Beltrami-Childress configuration with a fully helical velocity and magnetic field. In each case two snapshots are analyzed, separated by one turn-over time, starting just after the peak of dissipation. We show that the algorithm is able to select a large number of structures (in excess of 8000) for each snapshot and that the statistical properties of these clusters are remarkably similar for the two snapshots as well as for the two flows under study in terms of scaling laws for the cluster characteristics, with the structures in the vorticity and in the current behaving in the same way. We also study the effect of Reynolds number on cluster statistics, and we finally analyze the properties of these clusters in terms of their velocity-magnetic- field correlation. Self-organized criticality features have been identified in the dissipative range of scales. A different scaling arises in the inertial range, which cannot be identified for the moment with a known self-organized criticality class consistent with magnetohydrodynamics. We suggest that this range can be governed by turbulence dynamics as opposed to criticality and propose an interpretation of intermittency in terms of propagation of local instabilities. © 2010 The American Physical Society.
publishDate 2010
dc.date.none.fl_str_mv 2010-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/57155
Uritsky, Vadim; Pouquet, A.; Rosenberg, Duane; Mininni, Pablo Daniel; Donovan, E.F.; Structures in magnetohydrodynamic turbulence: Detection and scaling; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 82; 5; 11-2010; 5632601-5632615
1539-3755
CONICET Digital
CONICET
url http://hdl.handle.net/11336/57155
identifier_str_mv Uritsky, Vadim; Pouquet, A.; Rosenberg, Duane; Mininni, Pablo Daniel; Donovan, E.F.; Structures in magnetohydrodynamic turbulence: Detection and scaling; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 82; 5; 11-2010; 5632601-5632615
1539-3755
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://link.aps.org/doi/10.1103/PhysRevE.82.056326
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.82.056326
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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