Variational Method in the Statistical Theory of Turbulence

Abstract

A new approach to the calculation of turbulent flows is presented. Variational principles are introduced into the statistical theory of turbulence enabling the determination of correlation functions by extremizing certain functionals. To demonstrate the efficiency of the technique a sample calculation of a mean flow profile and certain two point correlation functions of a cylindrically symmetric free jet were carried out using the Rayleigh-Ritz method. A judicious choice of the trial functions leads to the determination of the correlation functions with a modest amount of computation. The results are in reasonable agreement with experimental data.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1991
Accession Number
ADA231621

Entities

People

  • C. K. Zoltani
  • G. Domokos
  • S. Kovesi-domokos

Organizations

  • Battelle Memorial Institute

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Differential Equations
  • Engineering
  • Equations
  • Flow
  • Fluid Flow
  • Information Science
  • Jet Propulsion
  • Mechanical Engineering
  • Military Research
  • Physics
  • Physics Laboratories
  • Turbulent Flow
  • Variational Methods
  • Variational Principles

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Mechanics and Fluid Dynamics.
  • Regression Analysis.