WIENER-HERMITE FUNCTIONAL EXPANSION IN TURBULENCE WITH THE BURGERS MODEL

Abstract

A method is presented which exploits the nearness to Gaussianity of velocity probability distributions in turbulence, by expanding the velocity field function about the Gaussian approximation. Many of the mathematical manifestations of the method are new that it is hard to obtain physical insight into them. Hence, a pilot project of a simplified nature is under taken which uses instead of the Navier-Stokes or MHD equations the Burgers one-dimensional model equation.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1963
Accession Number
AD0408480

Entities

People

  • Armand Siegel
  • Tsutomu Imamura
  • William C. Meecham

Organizations

  • Boston University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Diffusion
  • Equations
  • Government Procurement
  • Governments
  • Military Research
  • Minnesota
  • New York
  • Physics
  • Probability
  • Probability Distributions
  • Reynolds Number
  • Scientific Research
  • Stratified Fluids
  • Turbulence
  • Universities

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.
  • Statistical inference.