On the Multifractal Properties of Passively Convected Scalar Fields

Abstract

Multifractal spectra are derived for 1- and 2-dimensional cross-sections of passively convected scalar fields; 2- and 3-dimensional single-scale velocity fields in the absence of KAM surfaces are considered. Both the Kraichnan model and real flows with non-zero correlation time are studied. The calculation of f(alpha)-curves is based on the probability density function of the stretching factors of fluid elements. It is shown that strict multifractality holds only for small values of alpha. New multifractal scalar field-"harmfulness"-is suggested to describe the propagation of environmentally dangerous substances.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP010912

Entities

People

  • J. Kalda

Organizations

  • Tallinn University of Technology

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Atmospheric Motion
  • Diffusion
  • Diffusivity
  • Dissipation
  • Distribution Functions
  • Equations
  • Flow
  • Fluid Flow
  • Geometry
  • Probability
  • Spectra
  • Stratified Fluids
  • Three Dimensional
  • Turbulence
  • Turbulent Diffusion
  • Turbulent Mixing
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Statistical inference.
  • Wave Propagation and Nonlinear Chaotic Dynamics.