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Yakhot's model of strong turbulence: A generalization of scaling models of turbulence

Ch. Renner·J. Peinke
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Abstract

We report on some implications of the theory of turbulence developed by V. Yakhot [V. Yakhot, Phys. Rev. E {\bf 57}(2) (1998)]. In particular we focus on the expression for the scaling exponents $\zeta_{n}$. We show that Yakhot's result contains three well known scaling models as special cases, namely K41, K62 and the theory by V. L'vov and I. Procaccia [V. L'vov & I. Procaccia, Phys. Rev. E {\bf 62}(6) (2000)]. The model furthermore yields a theoretical justification for the method of extended self--similarity (ESS).

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Ch. Renner, J. Peinke. 2004-03-19. Yakhot's model of strong turbulence: A generalization of scaling models of turbulence. https://doi.org/10.1007/s10955-011-0345-1

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