Accession Number : ADP008747

Title :   Non-Eddy Resolving Model of Beta-Plane Turbulence,

Corporate Author : UNIVERSITY OF SOUTH FLORIDA ST PETERSBURG DEPT OF MARINE SCIENCE

Personal Author(s) : Galperin, Boris ; Sukoriansky, Semion ; Orszag, Steven A. ; Staroselsky, Ilya

Report Date : NOV 1993

Pagination or Media Count : 32

Abstract : This paper develops grid-scale dependent parameters, including eddy viscosity and eddy beta, for non-eddy-resolving simulations of beta-plane turbulence. These eddy parameters account for the effect of subgrid scale (SGS) turbulence and Rossby waves on the resolved scales of motion and are derived in a self-consistent framework provided by the renormalization group (RG) theory of turbulence. The RG formalism allows a coarsened description of a strongly non-linear system with a very large number of degrees of freedom, or wave numbers in Fourier space, by successive elimination of small shells of wave numbers corresponding to unresolved scales. The resulting equation of motion for large, resolved scales is structurally similar to the initial equation but its dimensional parameters, viscosity and beta, are rescaled or renormalized, and depend on the wave number.

Descriptors :   *TURBULENCE, *EDDIES(FLUID MECHANICS), *PARTIAL DIFFERENTIAL EQUATIONS, EQUATIONS OF MOTION, VISCOSITY, NONLINEAR ANALYSIS, ENERGY TRANSFER.

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE