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dc.contributor.author
Brachet, M. E.
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Bustamante, M. D.
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Krstulovic, G.
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Mininni, Pablo Daniel
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Pouquet, A.
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Rosenberg, D.
dc.date.available
2017-06-12T15:51:56Z
dc.date.issued
2013-01
dc.identifier.citation
Brachet, M. E.; Bustamante, M. D.; Krstulovic, G.; Mininni, Pablo Daniel; Pouquet, A.; et al.; Ideal evolution of magnetohydrodynamic turbulence when imposing Taylor-Green symmetries; American Physical Society; Physical Review E: Statistical, Nonlinear And Soft Matter Physics; 87; 1; 1-2013; 1-14; 013110
dc.identifier.issn
1539-3755
dc.identifier.uri
http://hdl.handle.net/11336/17983
dc.description.abstract
We investigate the ideal and incompressible magnetohydrodynamic (MHD) equations in three space dimensions for the development of potentially singular structures. The methodology consists in implementing the fourfold symmetries of the Taylor-Green vortex generalized to MHD, leading to substantial computer time and memory savings at a given resolution; we also use a regridding method that allows for lower-resolution runs at early times, with no loss of spectral accuracy. One magnetic configuration is examined at an equivalent resolution of 6144 3 points and three different configurations on grids of 4096 3 points. At the highest resolution, two different current and vorticity sheet systems are found to collide, producing two successive accelerations in the development of small scales. At the latest time, a convergence of magnetic field lines to the location of maximum current is probably leading locally to a strong bending and directional variability of such lines. A novel analytical method, based on sharp analysis inequalities, is used to assess the validity of the finite-time singularity scenario. This method allows one to rule out spurious singularities by evaluating the rate at which the logarithmic decrement of the analyticity-strip method goes to zero. The result is that the finite-time singularity scenario cannot be ruled out, and the singularity time could be somewhere between t = 2.33 and t = 2.70 . More robust conclusions will require higher resolution runs and grid-point interpolation measurements of maximum current and vorticity.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Singularity
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Mhd
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Bkm Theorem
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Física de los Fluidos y Plasma
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Ideal evolution of magnetohydrodynamic turbulence when imposing Taylor-Green symmetries
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-06-09T14:15:15Z
dc.journal.volume
87
dc.journal.number
1
dc.journal.pagination
1-14; 013110
dc.journal.pais
Estados Unidos
dc.journal.ciudad
College Park
dc.description.fil
Fil: Brachet, M. E.. Centre National de la Recherche Scientifique. Ecole Normale Superieur; Francia
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Fil: Bustamante, M. D.. University College Dublin; Irlanda
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Fil: Krstulovic, G.. Observatoire de la Cote D; Francia
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Fil: Mininni, Pablo Daniel. National Center for Atmospheric Research; Estados Unidos. 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
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Fil: Pouquet, A.. National Center for Atmospheric Research; Estados Unidos
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Fil: Rosenberg, D.. National Center for Atmospheric Research; Estados Unidos
dc.journal.title
Physical Review E: Statistical, Nonlinear And Soft Matter Physics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1103/PhysRevE.87.013110
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info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.87.013110
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1206.6372
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