A Theory of Inertial Range Similarity in Isotropic Turbulence

Details A Theory of Inertial Range Similarity in Isotropic Turbulence A Theory of Inertial Range Similarity in Isotropic Turbulence

2006-03-22

arxiv.org/abs/physics/0603185v1

Physics

Fluid Dynamics

4 pages, 4 figures

Scientific paper

We consider equilibrium statistics for high Reynolds number isotropic turbulence in an incompressible flow driven by steady forcing at the largest scale. Motivated by shell model observations, we develop a similarity theory for the inertial range from clearly stated assumptions. In the right variables, the theory is scaling invariant, but in traditional variables it shows anomalous scaling. We obtain the underlying probability density function, the scaling exponents, and the coefficients for the structure functions. An inertial range length scale also emerges.

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