Quasi-normal scale elimination theory of turbulence

Semion Sukoriansky, Boris Galperin

Research output: Contribution to journalArticlepeer-review


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 0(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 languageEnglish
Pages (from-to)301-308
Number of pages8
JournalInternational Journal of Pure and Applied Mathematics
Issue number2
StatePublished - 1 Dec 2009


  • Analytical turbulence theories
  • Eddy viscosity

ASJC Scopus subject areas

  • Mathematics (all)
  • Applied Mathematics


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