Conformal invariance in three-dimensional rotating turbulence

Autores
Thalabard, S.; Rosenberg, Duane; Pouquet, A.; Mininni, Pablo Daniel
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We examine turbulent flows in the presence of solid-body rotation and helical forcing in the framework of stochastic Schramm-Löwner evolution (SLE) curves. The data stem from a run with 15363 grid points, with Reynolds and Rossby numbers of, respectively, 5100 and 0.06. We average the parallel component of the vorticity in the direction parallel to that of rotation and examine the resulting ωz field for scaling properties of its zero-value contours. We find for the first time for three-dimensional fluid turbulence evidence of nodal curves being conformal invariant, belonging to a SLE class with associated Brownian diffusivity κ=3.6±0.1. SLE behavior is related to the self-similarity of the direct cascade of energy to small scales and to the partial bidimensionalization of the flow because of rotation. We recover the value of κ with a heuristic argument and show that this is consistent with several nontrivial SLE predictions. © 2011 American Physical Society.
Fil: Thalabard, S.. National Center for Atmospheric Research; Estados Unidos
Fil: Rosenberg, Duane. National Center for Atmospheric Research; Estados Unidos
Fil: Pouquet, A.. National Center for Atmospheric Research; Estados Unidos
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
Materia
Rotating Flows
Turbulence
Conformal Invariance
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:11336/56968
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Conformal invariance in three-dimensional rotating turbulenceThalabard, S.Rosenberg, DuanePouquet, A.Mininni, Pablo DanielRotating FlowsTurbulenceConformal Invariancehttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We examine turbulent flows in the presence of solid-body rotation and helical forcing in the framework of stochastic Schramm-Löwner evolution (SLE) curves. The data stem from a run with 15363 grid points, with Reynolds and Rossby numbers of, respectively, 5100 and 0.06. We average the parallel component of the vorticity in the direction parallel to that of rotation and examine the resulting ωz field for scaling properties of its zero-value contours. We find for the first time for three-dimensional fluid turbulence evidence of nodal curves being conformal invariant, belonging to a SLE class with associated Brownian diffusivity κ=3.6±0.1. SLE behavior is related to the self-similarity of the direct cascade of energy to small scales and to the partial bidimensionalization of the flow because of rotation. We recover the value of κ with a heuristic argument and show that this is consistent with several nontrivial SLE predictions. © 2011 American Physical Society.Fil: Thalabard, S.. National Center for Atmospheric Research; Estados UnidosFil: Rosenberg, Duane. National Center for Atmospheric Research; Estados UnidosFil: Pouquet, A.. National Center for Atmospheric Research; Estados UnidosFil: 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; ArgentinaAmerican Physical Society2011-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/56968Thalabard, S.; Rosenberg, Duane; Pouquet, A.; Mininni, Pablo Daniel; Conformal invariance in three-dimensional rotating turbulence; American Physical Society; Physical Review Letters; 106; 20; 5-2011; 2045031-20450340031-9007CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://prl.aps.org/abstract/PRL/v106/i20/e204503info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.106.204503info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:58:59Zoai:ri.conicet.gov.ar:11336/56968instacron: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 09:59:00.136CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Conformal invariance in three-dimensional rotating turbulence
title Conformal invariance in three-dimensional rotating turbulence
spellingShingle Conformal invariance in three-dimensional rotating turbulence
Thalabard, S.
Rotating Flows
Turbulence
Conformal Invariance
title_short Conformal invariance in three-dimensional rotating turbulence
title_full Conformal invariance in three-dimensional rotating turbulence
title_fullStr Conformal invariance in three-dimensional rotating turbulence
title_full_unstemmed Conformal invariance in three-dimensional rotating turbulence
title_sort Conformal invariance in three-dimensional rotating turbulence
dc.creator.none.fl_str_mv Thalabard, S.
Rosenberg, Duane
Pouquet, A.
Mininni, Pablo Daniel
author Thalabard, S.
author_facet Thalabard, S.
Rosenberg, Duane
Pouquet, A.
Mininni, Pablo Daniel
author_role author
author2 Rosenberg, Duane
Pouquet, A.
Mininni, Pablo Daniel
author2_role author
author
author
dc.subject.none.fl_str_mv Rotating Flows
Turbulence
Conformal Invariance
topic Rotating Flows
Turbulence
Conformal Invariance
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 examine turbulent flows in the presence of solid-body rotation and helical forcing in the framework of stochastic Schramm-Löwner evolution (SLE) curves. The data stem from a run with 15363 grid points, with Reynolds and Rossby numbers of, respectively, 5100 and 0.06. We average the parallel component of the vorticity in the direction parallel to that of rotation and examine the resulting ωz field for scaling properties of its zero-value contours. We find for the first time for three-dimensional fluid turbulence evidence of nodal curves being conformal invariant, belonging to a SLE class with associated Brownian diffusivity κ=3.6±0.1. SLE behavior is related to the self-similarity of the direct cascade of energy to small scales and to the partial bidimensionalization of the flow because of rotation. We recover the value of κ with a heuristic argument and show that this is consistent with several nontrivial SLE predictions. © 2011 American Physical Society.
Fil: Thalabard, S.. National Center for Atmospheric Research; Estados Unidos
Fil: Rosenberg, Duane. National Center for Atmospheric Research; Estados Unidos
Fil: Pouquet, A.. National Center for Atmospheric Research; Estados Unidos
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
description We examine turbulent flows in the presence of solid-body rotation and helical forcing in the framework of stochastic Schramm-Löwner evolution (SLE) curves. The data stem from a run with 15363 grid points, with Reynolds and Rossby numbers of, respectively, 5100 and 0.06. We average the parallel component of the vorticity in the direction parallel to that of rotation and examine the resulting ωz field for scaling properties of its zero-value contours. We find for the first time for three-dimensional fluid turbulence evidence of nodal curves being conformal invariant, belonging to a SLE class with associated Brownian diffusivity κ=3.6±0.1. SLE behavior is related to the self-similarity of the direct cascade of energy to small scales and to the partial bidimensionalization of the flow because of rotation. We recover the value of κ with a heuristic argument and show that this is consistent with several nontrivial SLE predictions. © 2011 American Physical Society.
publishDate 2011
dc.date.none.fl_str_mv 2011-05
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/11336/56968
Thalabard, S.; Rosenberg, Duane; Pouquet, A.; Mininni, Pablo Daniel; Conformal invariance in three-dimensional rotating turbulence; American Physical Society; Physical Review Letters; 106; 20; 5-2011; 2045031-2045034
0031-9007
CONICET Digital
CONICET
url http://hdl.handle.net/11336/56968
identifier_str_mv Thalabard, S.; Rosenberg, Duane; Pouquet, A.; Mininni, Pablo Daniel; Conformal invariance in three-dimensional rotating turbulence; American Physical Society; Physical Review Letters; 106; 20; 5-2011; 2045031-2045034
0031-9007
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://prl.aps.org/abstract/PRL/v106/i20/e204503
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.106.204503
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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score 13.070432

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