| Autor: |
Noullez A; Observatoire de la Côte d'Azur, Laboratoire de Cassiopée, B.P. 4229, F-06304 Nice Cedex 4, France. anz@obs-nice.fr, Gurbatov SN, Aurell E, Simdyankin SI |
| Jazyk: |
angličtina |
| Zdroj: |
Physical review. E, Statistical, nonlinear, and soft matter physics [Phys Rev E Stat Nonlin Soft Matter Phys] 2005 May; Vol. 71 (5 Pt 2), pp. 056305. Date of Electronic Publication: 2005 May 20. |
| DOI: |
10.1103/PhysRevE.71.056305 |
| Abstrakt: |
This paper continues earlier investigations of the decay of Burgers turbulence in one dimension from Gaussian random initial conditions of the power-law spectral type E0(k) approximately |k|(n). Depending on the power n , different characteristic regions are distinguished. The main focus of this paper is to delineate the regions in wave number k and time t in which self-similarity can (and cannot) be observed, taking into account small-k and large-k cutoffs. The evolution of the spectrum can be inferred using physical arguments describing the competition between the initial spectrum and the new frequencies generated by the dynamics. For large wave numbers, we always have a k(-2) region, associated with the shocks. When n is less than 1, the large-scale part of the spectrum is preserved in time and the global evolution is self-similar, so that scaling arguments perfectly predict the behavior in time of the energy and integral scale. If n is larger than 2, the spectrum tends for long times to a universal scaling form independent of the initial conditions, with universal behavior k(2) at small wave numbers. In the interval 2
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| Databáze: |
MEDLINE |
| Externí odkaz: |
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