Non-Eddy Resolving Model of Beta-Plane Turbulence,

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.

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1993
Accession Number
ADP008747

Entities

People

  • Boris Galperin
  • Ilya Staroselsky
  • Semion Sukoriansky
  • Steven A. Orszag

Organizations

  • University of South Florida St. Petersburg

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Elimination
  • Equations
  • Grids
  • Linear Systems
  • Oceanography
  • Physical Oceanography
  • Rossby Waves
  • Simulations
  • Turbulence
  • Viscosity
  • Waves
  • Workshops

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Computational Fluid Dynamics (CFD)
  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Space