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.
Original language | American English |
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Journal | International Journal of Pure and Applied Mathematics |
Volume | 50 |
State | Published - Jan 1 2009 |
Keywords
- analytical turbulence theories
- eddy viscosity
Disciplines
- Life Sciences