The intermediate Rossby number range and two-dimensional–three-dimensional transfers in rotating decaying homogeneous turbulence
Rotating homogeneous turbulence in a finite domain is studied using numerical simulations, with a particular emphasis on the interactions between the wave and zero-frequency modes. Numerical simulations of decaying homogeneous turbulence subject to a wide range ofbackground rotation rates are presen...
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| Format: | Article |
| Language: | en_US |
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Cambridge University Press
2014
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| Online Access: | http://hdl.handle.net/1721.1/86304 https://orcid.org/0000-0001-6025-457X |
| _version_ | 1826206659984228352 |
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| author | Bourouiba, Lydia Bartello, Peter |
| author2 | Massachusetts Institute of Technology. Department of Civil and Environmental Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Bourouiba, Lydia Bartello, Peter |
| author_sort | Bourouiba, Lydia |
| collection | MIT |
| description | Rotating homogeneous turbulence in a finite domain is studied using numerical simulations, with a particular emphasis on the interactions between the wave and zero-frequency modes. Numerical simulations of decaying homogeneous turbulence subject to a wide range ofbackground rotation rates are presented. The effect of rotation is examined in two finiteperiodic domains in order to test the effect of the size of the computational domain on the results obtained, thereby testing the accurate sampling of near-resonant interactions.We observe a non-monotonic tendency when Rossby number Ro is varied from large values to the small-Ro limit, which is robust to the change of domain size. Three rotation regimes are identified and discussed: the large-, the intermediate-, and the small-Ro regimes. The intermediate-Ro regime is characterized by a positive transfer of energy from wave modes to vortices. The three-dimensional to two-dimensional transfer reaches an initial maximum for Ro ≈ 0.2 and it is associated with a maximum skewness of vertical vorticity in favour of positive vortices. This maximum is also reached at Ro ≈ 0.2. In the intermediate range an overall reduction of vertical energy transfer is observed. Additional characteristic horizontal and vertical scales of this particular rotation regime are presented and discussed. |
| first_indexed | 2024-09-23T13:36:16Z |
| format | Article |
| id | mit-1721.1/86304 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:36:16Z |
| publishDate | 2014 |
| publisher | Cambridge University Press |
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| spelling | mit-1721.1/863042022-10-01T15:58:04Z The intermediate Rossby number range and two-dimensional–three-dimensional transfers in rotating decaying homogeneous turbulence Bourouiba, Lydia Bartello, Peter Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Bourouiba, Lydia Bourouiba, Lydia Rotating homogeneous turbulence in a finite domain is studied using numerical simulations, with a particular emphasis on the interactions between the wave and zero-frequency modes. Numerical simulations of decaying homogeneous turbulence subject to a wide range ofbackground rotation rates are presented. The effect of rotation is examined in two finiteperiodic domains in order to test the effect of the size of the computational domain on the results obtained, thereby testing the accurate sampling of near-resonant interactions.We observe a non-monotonic tendency when Rossby number Ro is varied from large values to the small-Ro limit, which is robust to the change of domain size. Three rotation regimes are identified and discussed: the large-, the intermediate-, and the small-Ro regimes. The intermediate-Ro regime is characterized by a positive transfer of energy from wave modes to vortices. The three-dimensional to two-dimensional transfer reaches an initial maximum for Ro ≈ 0.2 and it is associated with a maximum skewness of vertical vorticity in favour of positive vortices. This maximum is also reached at Ro ≈ 0.2. In the intermediate range an overall reduction of vertical energy transfer is observed. Additional characteristic horizontal and vertical scales of this particular rotation regime are presented and discussed. Natural Sciences and Engineering Research Council of Canada 2014-04-30T20:00:49Z 2014-04-30T20:00:49Z 2007-08 2007-05 Article http://purl.org/eprint/type/JournalArticle 0022-1120 1469-7645 http://hdl.handle.net/1721.1/86304 BOUROUIBA, LYDIA, and PETER BARTELLO. “The Intermediate Rossby Number Range and Two-Dimensional–three-Dimensional Transfers in Rotating Decaying Homogeneous Turbulence.” J. Fluid Mech. 587 (September 2007). https://orcid.org/0000-0001-6025-457X en_US http://dx.doi.org/10.1017/S0022112007007124 Journal of Fluid Mechanics Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Cambridge University Press Bourouiba |
| spellingShingle | Bourouiba, Lydia Bartello, Peter The intermediate Rossby number range and two-dimensional–three-dimensional transfers in rotating decaying homogeneous turbulence |
| title | The intermediate Rossby number range and two-dimensional–three-dimensional transfers in rotating decaying homogeneous turbulence |
| title_full | The intermediate Rossby number range and two-dimensional–three-dimensional transfers in rotating decaying homogeneous turbulence |
| title_fullStr | The intermediate Rossby number range and two-dimensional–three-dimensional transfers in rotating decaying homogeneous turbulence |
| title_full_unstemmed | The intermediate Rossby number range and two-dimensional–three-dimensional transfers in rotating decaying homogeneous turbulence |
| title_short | The intermediate Rossby number range and two-dimensional–three-dimensional transfers in rotating decaying homogeneous turbulence |
| title_sort | intermediate rossby number range and two dimensional three dimensional transfers in rotating decaying homogeneous turbulence |
| url | http://hdl.handle.net/1721.1/86304 https://orcid.org/0000-0001-6025-457X |
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