IJPAM: Volume 50, No. 2 (2009)


Semion Sukoriansky$^1$, Boris Galperin$^2$
$^{1}$Department of Mechanical Engineering
and Perlstone Center for Aeronautical Engineering Studies
Ben-Gurion University of the Negev
Beer-Sheva, 84105, ISRAEL
e-mail: semion@bgu.ac.il
$^2$College of Marine Science
University of South Florida
140, 7-th Avenue South, St. Petersburg, FL 33701-5016, USA
e-mail: bgalperin@marine.usf.edu

Abstract.We present an analytical theory of turbulence based upon the procedure of successive elimination of small-scale modes that leads to gradual coarsening of the flow field and accumulation of eddy viscosity. The Reynolds number based upon the eddy viscosity remains $O(1)$. The main results of the theory are analytical expressions for eddy viscosity and kinetic energy spectrum. Partial scale elimination yields a subgrid-scale representation for large eddy simulations while the elimination of all fluctuating scales is analogous to the Reynolds averaging.

Received: August 14, 2008

AMS Subject Classification: --???--

Key Words and Phrases: analytical turbulence theories, eddy viscosity

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 50
Issue: 2