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 interaction, hydrodynamic limits, turbulence effects
@article{M2AN_2004__38_4_673_0,
author = {Goudon, Thierry and Poupaud, Fr\'ed\'eric},
title = {On the modeling of the transport of particles in turbulent flows},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {673--690},
year = {2004},
publisher = {EDP Sciences},
volume = {38},
number = {4},
doi = {10.1051/m2an:2004032},
mrnumber = {2087729},
zbl = {1079.76037},
language = {en},
url = {https://www.numdam.org/articles/10.1051/m2an:2004032/}
}
TY - JOUR AU - Goudon, Thierry AU - Poupaud, Frédéric TI - On the modeling of the transport of particles in turbulent flows JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2004 SP - 673 EP - 690 VL - 38 IS - 4 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/m2an:2004032/ DO - 10.1051/m2an:2004032 LA - en ID - M2AN_2004__38_4_673_0 ER -
%0 Journal Article %A Goudon, Thierry %A Poupaud, Frédéric %T On the modeling of the transport of particles in turbulent flows %J ESAIM: Modélisation mathématique et analyse numérique %D 2004 %P 673-690 %V 38 %N 4 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/m2an:2004032/ %R 10.1051/m2an:2004032 %G en %F M2AN_2004__38_4_673_0
Goudon, Thierry; Poupaud, Frédéric. On the modeling of the transport of particles in turbulent flows. ESAIM: Modélisation mathématique et analyse numérique, Tome 38 (2004) no. 4, pp. 673-690. doi: 10.1051/m2an:2004032
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