STUDYING RANDOM DIFFERENTIAL-EQUATIONS AS A TOOL FOR TURBULENT-DIFFUSION

Authors
EIJNDEN EV
Citation
Ev. Eijnden, STUDYING RANDOM DIFFERENTIAL-EQUATIONS AS A TOOL FOR TURBULENT-DIFFUSION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(5), 1998, pp. 5229-5232
Citations number
6
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
58
Issue
5
Year of publication
1998
Part
A
Pages
5229 - 5232
Database
ISI
SICI code
1063-651X(1998)58:5<5229:SRDAAT>2.0.ZU;2-R
Abstract
A modification of Kraichnan's direct interaction approximation (DIA) [ R. H. Kraichnan, J. Math; Phys. 2, 124 (1961)] for random linear parti al differential equations is proposed. The approximation is tested on the specific example of the turbulent advection of a scalar quantity b y a random velocity field. It is shown to account for the sweeping mor e correctly than the DIA. As a result, it is valid for all times and i t is able to describe nonstandard diffusive processes (i.e., superdiff usive and non-Gaussian) for which the DIA is not valid. [S1063-651X(98 )50111-0].