Multi-fractal formulation of compressible fully developed turbulence: Parabolic-profile approximation for the singularity spectrum
Abbreviated Journal Title
EXTENSIVE STATISTICAL-MECHANICS; ISOTROPIC TURBULENCE; INTERMITTENCY; LAWS; Physics, Multidisciplinary
A parabolic-profile approximation (PPA) for the singularity spectrum D(h) in the multi-fractal model for compressible fully developed turbulence (FDT) is considered and is then extrapolated to the Kolmogorov microscale regime. The generalization of Kolmogorov's "4/5th law" relating the third-order velocity structure function to the mean energy dissipation rate epsilon to compressible FDT is considered. The PPA is also shown to afford, unlike the generic multi-fractal model, an analytical calculation of probability distribution function (PDF) of velocity gradients and to describe intermittency corrections for this PDF that complement those provided by homogeneous-fractal model. (c) 2006 Elsevier Inc. All rights reserved.
Annals of Physics
"Multi-fractal formulation of compressible fully developed turbulence: Parabolic-profile approximation for the singularity spectrum" (2007). Faculty Bibliography 2000s. 7644.