| Инд. авторы: | Thalabard Simon, Nazarenko Sergey, Galtier Sebastien, Medvedev Sergey |
| Заглавие: | Anomalous spectral laws in differential models of turbulence |
| Библ. ссылка: | Thalabard Simon, Nazarenko Sergey, Galtier Sebastien, Medvedev Sergey Anomalous spectral laws in differential models of turbulence // Journal of Physics A: Mathematical and Theoretical. - 2015. - Vol.48. - Iss. 28. - Art.285501. - ISSN 1751-8113. - EISSN 1751-8121. |
| Внешние системы: | DOI: 10.1088/1751-8113/48/28/285501; РИНЦ: 23990691; SCOPUS: 2-s2.0-84937124127; WoS: 000357281400011; |
| Реферат: | eng: Differential models for hydrodynamic, passive-scalar and wave turbulence given by nonlinear first-and second-order evolution equations for the energy spectrum in the k-space were analysed. Both types of models predict formation an anomalous transient power-law spectra. The second-order models were analysed in terms of self-similar solutions of the second kind, and a phenomenological formula for the anomalous spectrum exponent was constructed using numerics for a broad range of parameters covering all known physical examples. The first-order models were examined analytically, including finding an analytical prediction for the anomalous exponent of the transient spectrum and description of formation of the Kolmogorov-type spectrum as a reflection wave from the dissipative scale back into the inertial range. The latter behaviour was linked to pre-shock/shock singularities similar to the ones arising in the Burgers equation. Existence of the transient anomalous scaling and the reflection-wave scenario are argued to be a robust feature common to the finite-capacity turbulence systems. The anomalous exponent is independent of the initial conditions but varies for for different models of the same physical system.
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| Ключевые слова: | turbulence; Differential models; Anomalous exponents; |
| Издано: | 2015 |
| Физ. характеристика: | 285501 |
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