Simulation of fluid and particles flows: Asymptotic preserving schemes for bubbling and flowing regimes

Authors:
José-Antonio Carrillo;Thierry Goudon;Pauline Lafitte
Affiliations:
ICREA and Departament de Matemítiques, Universitat Autònoma de Barcelona, E-08193 Bellaterra, Spain;Project-Team SIMPAF, INRIA Research Centre Lille-Nord Europe, Parc Scientifique de la Haute Borne, 40, Avenue Halley B.P. 70478, F-59658 Villeneuve d'Ascq Cedex, France and Laboratoire Paul Painle ...;Project-Team SIMPAF, INRIA Research Centre Lille-Nord Europe, Parc Scientifique de la Haute Borne, 40, Avenue Halley B.P. 70478, F-59658 Villeneuve d'Ascq Cedex, France and Laboratoire Paul Painle ...
Venue:
Journal of Computational Physics
Year:
2008

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Abstract

In this work, we propose asymptotic preserving numerical schemes for the bubbling and flowing regimes of particles immersed in a fluid treated by two-phase flow models. The description comprises compressible Euler equations for the dense phase (fluid) and a kinetic Fokker-Planck equation for the disperse phase (particles) coupled through friction terms. We show numerical simulations in the relevant case of gravity in the one-dimensional case demonstrating the overall behavior of the schemes.