6 - Wave turbulent regimes
Published online by Cambridge University Press: 06 December 2010
Summary
The questions he asked seemed crazy to me. Saying nothing about the essence of the novel, he asked me who I was, where I came from, and how long I had been writing and why no one had heard of me before, and even asked what in my opinion was a totally idiotic question: who had given me the idea of writing a novel on such a strange theme?
M. Bulgakov Master and MargaritaAn easy start
The primary goal of the physics of turbulence is to understand the behavior of characteristic energy flow in a system excited in such a way that it is driven far from its equilibrium. In [134], Kolmogorov presented the energy spectrum of (strong) turbulence, describing the distribution of energy among turbulent vortices as a function of vortex size and thus founded the field of mathematical analysis of turbulence.
Kolmogorov regarded some inertial interval of wave numbers (where the energy is conserved) between viscosity and dissipation, and suggested that in this range turbulence is locally homogeneous (no dependence on position) and locally isotropic (no dependence on direction). Using this suggestion and dimensional analysis, Kolmogorov deduced that the energy distribution, now called Kolmogorov's spectrum, is proportional to k−5/3 for vortex sizes of order of k.
Results of numerical simulations and real experiments carried out to prove this theory turned out to be somewhat contradictory.
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- Information
- Nonlinear Resonance AnalysisTheory, Computation, Applications, pp. 144 - 181Publisher: Cambridge University PressPrint publication year: 2010