On the modeling of the transport of particles in turbulent flows

Thierry Goudon; Frédéric Poupaud

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 38, Issue: 4, page 673-690
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Goudon, Thierry, and Poupaud, Frédéric. "On the modeling of the transport of particles in turbulent flows." ESAIM: Mathematical Modelling and Numerical Analysis 38.4 (2010): 673-690. <http://eudml.org/doc/194233>.

@article{Goudon2010,
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. },
author = {Goudon, Thierry, Poupaud, Frédéric},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Fluid-particles interaction; hydrodynamic limits; turbulence effects.; convection-diffusion effective equation; Vlasov-Fokker-Planck equation},
language = {eng},
month = {3},
number = {4},
pages = {673-690},
publisher = {EDP Sciences},
title = {On the modeling of the transport of particles in turbulent flows},
url = {http://eudml.org/doc/194233},
volume = {38},
year = {2010},
}

TY - JOUR
AU - Goudon, Thierry
AU - Poupaud, Frédéric
TI - On the modeling of the transport of particles in turbulent flows
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 38
IS - 4
SP - 673
EP - 690
AB - 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.
LA - eng
KW - Fluid-particles interaction; hydrodynamic limits; turbulence effects.; convection-diffusion effective equation; Vlasov-Fokker-Planck equation
UR - http://eudml.org/doc/194233
ER -

References

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