Volume 38, Number 4, July-August 2004
|Page(s)||673 - 690|
|Published online||15 August 2004|
On the modeling of the transport of particles in turbulent flows
Laboratoire Paul Painlevé U.M.R.
8524, CNRS, Université des Sciences et Technologies de Lille, Cité Scientifique, 59655 Villeneuve d'Ascq Cedex, France. email@example.com.
2 Laboratoire J.A. Dieudonné U.M.R. 6621, CNRS, Université Nice-Sophia Antipolis, Parc Valrose, 06108 Nice Cedex 2, France. firstname.lastname@example.org.
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.
Mathematics Subject Classification: 35B25 / 35Q99
Key words: Fluid-particles interaction / hydrodynamic limits / turbulence effects.
© EDP Sciences, SMAI, 2004
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