Inverse cascades in turbulence and the case of rotating flows

We first summarize briefly several properties concerning the dynamics of two-dimensional (2D) turbulence, with an emphasis on the inverse cascade of energy to the largest accessible scale of the system. In order to study a similar phenomenon in 3D turbulence undergoing strong solid-body rotation, we...

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Autor principal:	Mininni, Pablo Daniel
Publicado:	2013
Materias:	Energy spectra High resolution Inverse energy cascades Numerical results Rotating flow Rotating turbulence Solid-body rotation Two-dimensional (2D) turbulence Large eddy simulation Rotational flow Shear flow Turbulence Mixing Shock tubes Turbulent flow Three dimensional
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00318949_v88_nT155_p_Pouquet http://hdl.handle.net/20.500.12110/paper_00318949_v88_nT155_p_Pouquet
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_00318949_v88_nT155_p_Pouquet
record_format	dspace
spelling	paper:paper_00318949_v88_nT155_p_Pouquet2023-06-08T14:57:40Z Inverse cascades in turbulence and the case of rotating flows Mininni, Pablo Daniel Energy spectra High resolution Inverse energy cascades Numerical results Rotating flow Rotating turbulence Solid-body rotation Two-dimensional (2D) turbulence Large eddy simulation Rotational flow Shear flow Turbulence Mixing Shock tubes Turbulent flow Three dimensional We first summarize briefly several properties concerning the dynamics of two-dimensional (2D) turbulence, with an emphasis on the inverse cascade of energy to the largest accessible scale of the system. In order to study a similar phenomenon in 3D turbulence undergoing strong solid-body rotation, we test a previously developed large eddy simulation (LES) model against a high-resolution direct numerical simulation of rotating turbulence on a grid of 30723 points. We then describe new numerical results on the inverse energy cascade in rotating flows using this LES model and contrast the case of 2D versus 3D forcing, as well as non-helical forcing (i.e. with weak overall alignment between velocity and vorticity) versus the fully helical Beltrami case, for both deterministic and random forcing. The different scaling laws for the inverse energy cascade can be attributed to the dimensionality of the forcing, with either a k-3⊥ or a k -5/3⊥ energy spectrum of slow modes at large scales, k⊥ referring to a direction perpendicular to that of rotation. We finally invoke the role of shear in the case of a strongly anisotropic deterministic forcing, using the so-called ABC flow; in that case, a k -5/3⊥ is again observed for the slow modes, together with a k-1 spectrum for the total energy associated with enhanced shear at a large scale [92]. © 2013 The Royal Swedish Academy of Sciences. Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2013 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00318949_v88_nT155_p_Pouquet http://hdl.handle.net/20.500.12110/paper_00318949_v88_nT155_p_Pouquet
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Energy spectra High resolution Inverse energy cascades Numerical results Rotating flow Rotating turbulence Solid-body rotation Two-dimensional (2D) turbulence Large eddy simulation Rotational flow Shear flow Turbulence Mixing Shock tubes Turbulent flow Three dimensional
spellingShingle	Energy spectra High resolution Inverse energy cascades Numerical results Rotating flow Rotating turbulence Solid-body rotation Two-dimensional (2D) turbulence Large eddy simulation Rotational flow Shear flow Turbulence Mixing Shock tubes Turbulent flow Three dimensional Mininni, Pablo Daniel Inverse cascades in turbulence and the case of rotating flows
topic_facet	Energy spectra High resolution Inverse energy cascades Numerical results Rotating flow Rotating turbulence Solid-body rotation Two-dimensional (2D) turbulence Large eddy simulation Rotational flow Shear flow Turbulence Mixing Shock tubes Turbulent flow Three dimensional
description	We first summarize briefly several properties concerning the dynamics of two-dimensional (2D) turbulence, with an emphasis on the inverse cascade of energy to the largest accessible scale of the system. In order to study a similar phenomenon in 3D turbulence undergoing strong solid-body rotation, we test a previously developed large eddy simulation (LES) model against a high-resolution direct numerical simulation of rotating turbulence on a grid of 30723 points. We then describe new numerical results on the inverse energy cascade in rotating flows using this LES model and contrast the case of 2D versus 3D forcing, as well as non-helical forcing (i.e. with weak overall alignment between velocity and vorticity) versus the fully helical Beltrami case, for both deterministic and random forcing. The different scaling laws for the inverse energy cascade can be attributed to the dimensionality of the forcing, with either a k-3⊥ or a k -5/3⊥ energy spectrum of slow modes at large scales, k⊥ referring to a direction perpendicular to that of rotation. We finally invoke the role of shear in the case of a strongly anisotropic deterministic forcing, using the so-called ABC flow; in that case, a k -5/3⊥ is again observed for the slow modes, together with a k-1 spectrum for the total energy associated with enhanced shear at a large scale [92]. © 2013 The Royal Swedish Academy of Sciences.
author	Mininni, Pablo Daniel
author_facet	Mininni, Pablo Daniel
author_sort	Mininni, Pablo Daniel
title	Inverse cascades in turbulence and the case of rotating flows
title_short	Inverse cascades in turbulence and the case of rotating flows
title_full	Inverse cascades in turbulence and the case of rotating flows
title_fullStr	Inverse cascades in turbulence and the case of rotating flows
title_full_unstemmed	Inverse cascades in turbulence and the case of rotating flows
title_sort	inverse cascades in turbulence and the case of rotating flows
publishDate	2013
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00318949_v88_nT155_p_Pouquet http://hdl.handle.net/20.500.12110/paper_00318949_v88_nT155_p_Pouquet
work_keys_str_mv	AT mininnipablodaniel inversecascadesinturbulenceandthecaseofrotatingflows
_version_	1768546528789528576

Inverse cascades in turbulence and the case of rotating flows

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