Homogenization in random flows

E. Vanden Eijnden, D. Hanon, J. P. Boon

Research output: Contribution to journalArticle

Abstract

The passive advection of a scalar quantity by a random velocity field is a problem encountered in a wide variety of situations like mass, charge and heat transport in turbulent fluids, dispersion in porous media, Of particular interest is the long-time large-scale dynamics of the scalar. In this work we use a combination of multiscale and projection techniques for analyzing the advection of a scalar by a random velocity field whose ensemble-average is periodic in space. General expressions relating the scalar transport to the properties of the flow are obtained. The method is applied to the analysis of scalar advection in a turbulent flow generated by a lattice gas automaton and whose ensemble-average is a two-dimensional ABC type flow.

Original languageEnglish (US)
Pages (from-to)183-186
Number of pages4
JournalFluid Mechanics and its Applications
Volume46
DOIs
StatePublished - Jan 1 1998

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Keywords

  • Liouville Equation
  • Multiscale Theory
  • Projection Technique
  • Scalar Transport
  • Turbulent Fluid

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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