Sign cancellation and scaling in the vertical component of velocity and vorticity in rotating turbulence
We study sign changes and scaling laws in the Cartesian components of the velocity and vorticity of rotating turbulence, in the helicity, and in the components of vertically averaged fields. Data for the analysis are provided by high-resolution direct numerical simulations of rotating turbulence wit...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_15393755_v88_n1_p_Horne |
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todo:paper_15393755_v88_n1_p_Horne2023-10-03T16:22:47Z Sign cancellation and scaling in the vertical component of velocity and vorticity in rotating turbulence Horne, E. Mininni, P.D. Cartesian components Dynamical equation Forcing function High resolution Rossby numbers Rotating turbulence Vertical component Vertical velocity Reynolds number Turbulence Vorticity Velocity We study sign changes and scaling laws in the Cartesian components of the velocity and vorticity of rotating turbulence, in the helicity, and in the components of vertically averaged fields. Data for the analysis are provided by high-resolution direct numerical simulations of rotating turbulence with different forcing functions, with up to 15363 grid points, with Reynolds numbers between ≈1100 and ≈5100, and with moderate Rossby numbers between ≈0.06 and ≈8. When rotation is negligible, all Cartesian components of the velocity show similar scaling, in agreement with the expected isotropy of the flow. However, in the presence of rotation, only the vertical components of the fields show clear scaling laws, with evidence of possible sign singularity in the limit of an infinite Reynolds number. Horizontal components of the velocity are smooth and do not display rapid fluctuations for arbitrarily small scales. The vertical velocity and vorticity, as well as the vertically averaged vertical velocity and vorticity, show the same scaling within error bars, in agreement with theories that predict that these quantities have the same dynamical equation for very strong rotation. © 2013 American Physical Society. 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_15393755_v88_n1_p_Horne |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Cartesian components Dynamical equation Forcing function High resolution Rossby numbers Rotating turbulence Vertical component Vertical velocity Reynolds number Turbulence Vorticity Velocity |
| spellingShingle |
Cartesian components Dynamical equation Forcing function High resolution Rossby numbers Rotating turbulence Vertical component Vertical velocity Reynolds number Turbulence Vorticity Velocity Horne, E. Mininni, P.D. Sign cancellation and scaling in the vertical component of velocity and vorticity in rotating turbulence |
| topic_facet |
Cartesian components Dynamical equation Forcing function High resolution Rossby numbers Rotating turbulence Vertical component Vertical velocity Reynolds number Turbulence Vorticity Velocity |
| description |
We study sign changes and scaling laws in the Cartesian components of the velocity and vorticity of rotating turbulence, in the helicity, and in the components of vertically averaged fields. Data for the analysis are provided by high-resolution direct numerical simulations of rotating turbulence with different forcing functions, with up to 15363 grid points, with Reynolds numbers between ≈1100 and ≈5100, and with moderate Rossby numbers between ≈0.06 and ≈8. When rotation is negligible, all Cartesian components of the velocity show similar scaling, in agreement with the expected isotropy of the flow. However, in the presence of rotation, only the vertical components of the fields show clear scaling laws, with evidence of possible sign singularity in the limit of an infinite Reynolds number. Horizontal components of the velocity are smooth and do not display rapid fluctuations for arbitrarily small scales. The vertical velocity and vorticity, as well as the vertically averaged vertical velocity and vorticity, show the same scaling within error bars, in agreement with theories that predict that these quantities have the same dynamical equation for very strong rotation. © 2013 American Physical Society. |
| format |
JOUR |
| author |
Horne, E. Mininni, P.D. |
| author_facet |
Horne, E. Mininni, P.D. |
| author_sort |
Horne, E. |
| title |
Sign cancellation and scaling in the vertical component of velocity and vorticity in rotating turbulence |
| title_short |
Sign cancellation and scaling in the vertical component of velocity and vorticity in rotating turbulence |
| title_full |
Sign cancellation and scaling in the vertical component of velocity and vorticity in rotating turbulence |
| title_fullStr |
Sign cancellation and scaling in the vertical component of velocity and vorticity in rotating turbulence |
| title_full_unstemmed |
Sign cancellation and scaling in the vertical component of velocity and vorticity in rotating turbulence |
| title_sort |
sign cancellation and scaling in the vertical component of velocity and vorticity in rotating turbulence |
| url |
http://hdl.handle.net/20.500.12110/paper_15393755_v88_n1_p_Horne |
| work_keys_str_mv |
AT hornee signcancellationandscalingintheverticalcomponentofvelocityandvorticityinrotatingturbulence AT mininnipd signcancellationandscalingintheverticalcomponentofvelocityandvorticityinrotatingturbulence |
| _version_ |
1807323193381224448 |