Marine Science Faculty Publications

Quasi-Normal Scale Elimination Theory of Turbulence

Document Type

Article

Publication Date

2009

Keywords

analytical turbulence theories, eddy viscosity

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.

Was this content written or created while at USF?

Yes

Citation / Publisher Attribution

International Journal of Pure and Applied Mathematics, v. 50, issue 2, p. 301-308

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