ISOTROPIC TURBULENCE AND INERTIAL-RANGE STRUCTURE IN THE ABRIDGED LHDI APPROXIMATION

Abstract

The abridged LHDI (Lagrangian-History Direct Interaction) closure approximation is interpreted physically and used to analyze energy transfer, effective eddy viscosities, and Lagrangian spacetime statistics in stationary and decaying isotropic turbulence. The results are then specialized to the inertial range. Numerical values are predicted for the Kolmogorov constant, the asymptotic eddy viscosities due to inertial-range wavenumbers, and the dimensionless constant in Inoue's formula for the mean-square change of Lagrangian velocity with time. Computed curves are presented for the localness of energy transfer, for Lagrangian spacetime structure functions, and for Lagrangian spacetime acceleration covariances. Inertial-range Eulerian spacetime structure functions also are computed. The predicted absolute Kolmogorov spectrum in the inertial and dissipation ranges is compared with data of Grant, Stewart, and Moilliet, and of M. M. Gibson.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1966
Accession Number
AD0628540

Entities

People

  • Robert H. Kraichnan

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Contractors
  • Convection
  • Covariance
  • Dissipation
  • Energy
  • Energy Transfer
  • Equations
  • Fluid Dynamics
  • Measurement
  • Mechanical Properties
  • Navier Stokes Equations
  • New Hampshire
  • Reynolds Number
  • Statistics
  • Turbulence

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.