Mathematics – Probability
Scientific paper
Feb 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phrvl..66..600s&link_type=abstract
Physical Review Letters (ISSN 0031-9007), vol. 66, Feb. 4, 1991, p. 600-603. Research supported by DARPA.
Mathematics
Probability
62
Intermittency, Isotropic Turbulence, Navier-Stokes Equation, Probability Distribution Functions, Statistical Analysis, Turbulence Models, Computerized Simulation, Energy Transfer, Reynolds Number, Three Dimensional Flow
Scientific paper
A physical model is constructed from the Navier-Stokes equation to describe the evolution of the probability distribution function of transverse velocity gradients in three-dimensional isotropic turbulence. Quantitative agreement with data from direct numerical simulations of isotropic turbulence for a wide range of Reynolds number is obtained. The model is based on a concrete physical picture of self-distortion of structures and interaction between random eddies and structures; the dynamical balance explains the non-Gaussian equilibrium probability distributions.
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