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Developing homogeneous isotropic turbulence
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Bos, Wouter J. T., Connaughton, Colm and Godeferd, Fabien. (2012) Developing homogeneous isotropic turbulence. Physica D: Nonlinear Phenomena, Vol.241 (No.3). pp. 232-236. ISSN 01672789
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Official URL: http://dx.doi.org/10.1016/j.physd.2011.02.005
Abstract
We investigate the self-similar evolution of the transient energy spectrum, which precedes the establishment of the Kolmogorov spectrum in homogeneous isotropic turbulence in three dimensions using the EDQNM closure model. The transient evolution exhibits self-similarity of the second kind and has a non-trivial dynamical scaling exponent, which results in the transient spectrum having a scaling that is steeper than the Kolmogorov k−5/3 spectrum. Attempts to detect a similar phenomenon in DNS data are inconclusive, owing to the limited range of scales available.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Divisions: | Faculty of Science > Centre for Complexity Science Faculty of Science > Mathematics |
| Library of Congress Subject Headings (LCSH): | Turbulence |
| Journal or Publication Title: | Physica D: Nonlinear Phenomena |
| Publisher: | Elsevier BV |
| ISSN: | 01672789 |
| Date: | 1 February 2012 |
| Volume: | Vol.241 |
| Number: | No.3 |
| Page Range: | pp. 232-236 |
| Identification Number: | 10.1016/j.physd.2011.02.005 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Open Access |
| Related URLs: | |
| References: | [1] S. Galtier, S. Nazarenko, A. Newell, and A. Pouquet, J. Plasma Phys. 63, 447 (2000). [2] A. Newell, S. Nazarenko, and L. Biven, Physica D 152- 153, 520 (2001). [3] C. Connaughton, A. Newell, and Y. Pomeau, Physica D 184, 64 (2003). [4] C. Connaughton and A. C. Newell, Phys. Rev. E 81, 036303 (2010). [5] R. Lacaze, P. Lallemand, Y. Pomeau, and S. Rica, Phys- ica D 152-153, 779 (2001). [6] C. Connaughton and Y. Pomeau, Comptes Rendus Physique 5, 91 (2004). [7] M. Lee, J. Phys. A: Math. Gen. 34, 10219 (2001). [8] S. Galtier, A. Pouquet, and A. Mangeney, Phys. Plasmas 12, 092310 (2005). [9] G. Barenblatt, Scaling, self-similarity, and intermediate asymptotics (CUP, Cambridge, 1996). [10] C. E. Leith, Phys. Fluids 10, 1409 (1967). [11] C. Connaughton and S. Nazarenko, Phys. Rev. Lett. 92, 044501 (2004). [12] P. Lavoie, L. Djenidi, and R. A. Antonia, J. Fluid Mech. 585, 395 (2007). [13] M. Lesieur, O. M´etais, and P. Comte, Large Eddy Simu- lations of Turbulence (CUP, Cambridge, 2005). [14] S. Orszag, J. Fluid Mech. 41, 363 (1970). [15] A. Monin and A. Yaglom, Statistical fluid mechanics (MIT press, Cambridge, 1975). [16] R. Kraichnan, J. Fluid Mech. 5, 497 (1959). [17] T. Clark, R. Rubinstein, and J.Weinstock, J. Turbulence 10, 1 (2010). [18] W. J. T. Bos and J.-P. Bertoglio, Phys. Fluids 18, 071701 (2006). [19] W. J. T. Bos and J.-P. Bertoglio, Phys. Fluids 18, 031706 (2006). [20] M. Lesieur, Turbulence in Fluids (Springer, Heidelberg, 2008). [21] P. Sagaut and C. Cambon, Homogeneous turbulence dy- namics (CUP, Cambridge, 2008). [22] S. Bhattacharjee and F. Seno, J. Phys. A–Math. Gen. 34, 6375 (2001). [23] C. Connaughton and P. Krapivsky, Phys. Rev. E 81, 035303(R) (2010). [24] F. S. Godeferd and C. Staquet, J. Fluid Mech. 486, 115 (2003). |
| URI: | http://wrap.warwick.ac.uk/id/eprint/43603 |
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