Models of intermittency in hydrodynamic turbulence

Details Models of intermittency in hydrodynamic turbulence Models of intermittency in hydrodynamic turbulence

Jul 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phrvl..65..575k&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 65, July 30, 1990, p. 575-578.

Statistics

Computation

111

Burger Equation, Computational Fluid Dynamics, Hydrodynamics, Navier-Stokes Equation, Probability Distribution Functions, Turbulent Flow, Heuristic Methods, Kolmogoroff Theory, Reynolds Number, Velocity Distribution

Scientific paper

This paper describes a model of the probability distribution (PDF) of the transverse velocity gradient in incompressible Navier-Stokes turbulence, based on analytical approximations ('mapping closures') for the PDF of velocity gradient. The competition between viscous relaxation and the training process that produces small scales is followed in x space. The model dynamics are not fractal, but some predictions may mimic those of fractal dynamics. The model suggests that skewnesses and flatnesses are asymptotically independent of the Reynolds number values and that cascade to smaller scales is not a fractal process.

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