Accession Number:

ADA256647

Title:

On a Symmetry of Turbulence,

Descriptive Note:

Corporate Author:

COLORADO UNIV AT BOULDER

Personal Author(s):

Report Date:

1992-01-01

Pagination or Media Count:

7.0

Abstract:

This paper presents results on symmetries of the spectrum of singularities for random cascades found in the statistical theory of turbulence. It is shown that empirical dimension curves possess a natural symmetry whose presence restricts the class of allowable probability distributions of the cascade generator in a simple manner. In particular, necessary and sufficient conditions on the probability distribution of the generator are obtained for symmetry of the singularity spectrum within a large class of cascade models.

Subject Categories:

  • Statistics and Probability
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE