Conformal invariance in three-dimensional rotating turbulence

Mostrar todas las versiones(3)

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 compo...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Thalabard, S., Rosenberg, D., Pouquet, A., Mininni, P.D.
Formato: Artículo publishedVersion
Publicado: 2011
Materias:
Brownian diffusivity
Conformal invariance
Fluid turbulence
Grid points
Nodal curves
Parallel component
Reynolds
Rossby numbers
Rotating turbulence
Scaling properties
Self-similarities
Small scale
Solid-body rotation
Conformal mapping
Three dimensional
Turbulence
Rotation
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00319007_v106_n20_p_Thalabard
http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00319007_v106_n20_p_Thalabard_oai
Aporte de:
Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires
id I28-R145-paper_00319007_v106_n20_p_Thalabard_oai
record_format dspace
spelling I28-R145-paper_00319007_v106_n20_p_Thalabard_oai2020-10-19 Thalabard, S. Rosenberg, D. Pouquet, A. Mininni, P.D. 2011 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 ω z 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:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_00319007_v106_n20_p_Thalabard info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Phys Rev Lett 2011;106(20) Brownian diffusivity Conformal invariance Fluid turbulence Grid points Nodal curves Parallel component Reynolds Rossby numbers Rotating turbulence Scaling properties Self-similarities Small scale Solid-body rotation Conformal mapping Three dimensional Turbulence Rotation Conformal invariance in three-dimensional rotating turbulence info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00319007_v106_n20_p_Thalabard_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
topic Brownian diffusivity
Conformal invariance
Fluid turbulence
Grid points
Nodal curves
Parallel component
Reynolds
Rossby numbers
Rotating turbulence
Scaling properties
Self-similarities
Small scale
Solid-body rotation
Conformal mapping
Three dimensional
Turbulence
Rotation
spellingShingle Brownian diffusivity
Conformal invariance
Fluid turbulence
Grid points
Nodal curves
Parallel component
Reynolds
Rossby numbers
Rotating turbulence
Scaling properties
Self-similarities
Small scale
Solid-body rotation
Conformal mapping
Three dimensional
Turbulence
Rotation
Thalabard, S.
Rosenberg, D.
Pouquet, A.
Mininni, P.D.
Conformal invariance in three-dimensional rotating turbulence
topic_facet Brownian diffusivity
Conformal invariance
Fluid turbulence
Grid points
Nodal curves
Parallel component
Reynolds
Rossby numbers
Rotating turbulence
Scaling properties
Self-similarities
Small scale
Solid-body rotation
Conformal mapping
Three dimensional
Turbulence
Rotation
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 ω z 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.
format Artículo
Artículo
publishedVersion
author Thalabard, S.
Rosenberg, D.
Pouquet, A.
Mininni, P.D.
author_facet Thalabard, S.
Rosenberg, D.
Pouquet, A.
Mininni, P.D.
author_sort Thalabard, S.
title Conformal invariance in three-dimensional rotating turbulence
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
publishDate 2011
url http://hdl.handle.net/20.500.12110/paper_00319007_v106_n20_p_Thalabard
http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00319007_v106_n20_p_Thalabard_oai
work_keys_str_mv AT thalabards conformalinvarianceinthreedimensionalrotatingturbulence
AT rosenbergd conformalinvarianceinthreedimensionalrotatingturbulence
AT pouqueta conformalinvarianceinthreedimensionalrotatingturbulence
AT mininnipd conformalinvarianceinthreedimensionalrotatingturbulence
_version_ 1766026624546897920

Ejemplares similares