Homogenization in random flows

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

doi:10.1007/978-94-011-5118-4_45

Homogenization in random flows

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

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	183-186
Number of pages	4
Journal	Fluid Mechanics and its Applications
Volume	46
DOIs	https://doi.org/10.1007/978-94-011-5118-4_45
State	Published - 1998

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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10.1007/978-94-011-5118-4_45

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AU - Vanden Eijnden, E.

AU - Hanon, D.

AU - Boon, J. P.

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AB - 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.

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KW - Turbulent Fluid

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Homogenization in random flows

Abstract

Keywords

ASJC Scopus subject areas

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