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dc.contributor.author
Krstulovic, G.
dc.contributor.author
Mininni, Pablo Daniel
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Brachet, M. E.
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Pouquet, A.
dc.date.available
2018-09-24T18:21:49Z
dc.date.issued
2009-12
dc.identifier.citation
Krstulovic, G.; Mininni, Pablo Daniel; Brachet, M. E.; Pouquet, A.; Cascades, thermalization, and eddy viscosity in helical Galerkin truncated Euler flows; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 79; 5; 12-2009; 563041-563045
dc.identifier.issn
1539-3755
dc.identifier.uri
http://hdl.handle.net/11336/60772
dc.description.abstract
The dynamics of the truncated Euler equations with helical initial conditions are studied. Transient energy and helicity cascades leading to Kraichnan helical absolute equilibrium at small scales, including a linear scaling of the relative helicity spectrum are obtained. Strong helicity effects are found using initial data concentrated at high wave numbers. Using low-wave-number initial conditions, the results of Cichowlas [Phys. Rev. Lett. 95, 264502 (2005)] are extended to helical flows. Similarities between the turbulent transient evolution of the ideal (time-reversible) system and viscous helical flows are found. Using an argument in the manner of Frisch [Phys. Rev. Lett. 101, 144501 (2008)], the excess of relative helicity found at small scales in the viscous run is related to the thermalization of the ideal flow. The observed differences in the behavior of truncated Euler and (constant viscosity) Navier-Stokes are qualitatively understood using the concept of eddy viscosity. The large scales of truncated Euler equations are then shown to follow quantitatively an effective Navier-Stokes dynamics based on a variable (scale dependent) eddy viscosity. © 2009 The American Physical Society.
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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
Turbulence
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Statistical Mechanics
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Helicity
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Astronomía
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Cascades, thermalization, and eddy viscosity in helical Galerkin truncated Euler flows
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-09-24T14:48:44Z
dc.journal.volume
79
dc.journal.number
5
dc.journal.pagination
563041-563045
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Nueva York
dc.description.fil
Fil: Krstulovic, G.. Laboratoire de Physique Statistique; Francia
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Fil: Mininni, Pablo Daniel. Universidad de Buenos Aires; Argentina. 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: Brachet, M. E.. National Center for Atmospheric Research; Estados Unidos
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Fil: Pouquet, A.. 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.79.056304
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