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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todo:paper_00318949_v88_nT155_p_Pouquet2023-10-03T14:41:51Z Inverse cascades in turbulence and the case of rotating flows Pouquet, A. Sen, A. Rosenberg, D. Mininni, P.D. Baerenzung, J. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Pouquet, A. Sen, A. Rosenberg, D. Mininni, P.D. Baerenzung, J. 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. |
| format |
JOUR |
| author |
Pouquet, A. Sen, A. Rosenberg, D. Mininni, P.D. Baerenzung, J. |
| author_facet |
Pouquet, A. Sen, A. Rosenberg, D. Mininni, P.D. Baerenzung, J. |
| author_sort |
Pouquet, A. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_00318949_v88_nT155_p_Pouquet |
| work_keys_str_mv |
AT pouqueta inversecascadesinturbulenceandthecaseofrotatingflows AT sena inversecascadesinturbulenceandthecaseofrotatingflows AT rosenbergd inversecascadesinturbulenceandthecaseofrotatingflows AT mininnipd inversecascadesinturbulenceandthecaseofrotatingflows AT baerenzungj inversecascadesinturbulenceandthecaseofrotatingflows |
| _version_ |
1782029730899296256 |