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On the modeling of thetransport of particles in turbulent flows

Published online by Cambridge University Press:  15 August 2004

Thierry Goudon  and
Frédéric Poupaud
Thierry Goudon
Affiliation:
Laboratoire Paul Painlevé U.M.R. 8524, CNRS, Université des Sciences et Technologies de Lille, Cité Scientifique, 59655 Villeneuve d'Ascq Cedex, France. thierry.goudon@math.univ-lille1.fr.
Frédéric Poupaud
Affiliation:
Laboratoire J.A. Dieudonné U.M.R. 6621, CNRS, Université Nice-Sophia Antipolis, Parc Valrose, 06108 Nice Cedex 2, France. poupaud@math.unice.fr.
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Abstract

We investigate different asymptotic regimes for Vlasov equations modeling the evolution of a cloud of particles in a turbulent flow. In one case we obtain a convection or a convection-diffusion effective equation on the concentration of particles. In the second case, the effective model relies on a Vlasov-Fokker-Planck equation.

Keywords

Fluid-particles interactionhydrodynamic limitsturbulence effects.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 38 , Issue 4 , July 2004 , pp. 673 - 690
Copyright
© EDP Sciences, SMAI, 2004

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