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A Semi-Lagrangian Approach for Dilute Non-Collisional Fluid-Particle Flows

Part of:Partial differential equations, initial value and time-dependent initial-boundary value problemsTime-dependent statistical mechanics (dynamic and nonequilibrium)

Published online by Cambridge University Press:  16 March 2016

Aude Bernard-Champmartin,
Jean-Philippe Braeunig,
Christophe Fochesato and
Thierry Goudon
Aude Bernard-Champmartin
Affiliation:
Inria, Sophia Antipolis Méditerranée Research Centre, Project COFFEE
Jean-Philippe Braeunig
Affiliation:
CEA, DAM, DIF, F-91297 Arpajon, FranceLRC MESO, ENS Cachan, 61, avenue du Président Wilson, 94235 Cachan cedex, France
Christophe Fochesato
Affiliation:
CEA, DAM, DIF, F-91297 Arpajon, FranceLRC MESO, ENS Cachan, 61, avenue du Président Wilson, 94235 Cachan cedex, France
Thierry Goudon*
Affiliation:
Inria, Sophia Antipolis Méditerranée Research Centre, Project COFFEEUniv. Nice Sophia Antipolis, CNRS, Labo J.-A. Dieudonné, UMR 7351 Parc Valrose, F-06108 Nice, France
*
*Corresponding author. Email addresses:, achampmartin@gmail.com (A. Bernard-Champmartin), jean-philippe.braeunig@cea.fr (J.-P. Braeunig), christophe.fochesato@cea.fr (C. Fochesato), thierry.goudon@inria.fr (T. Goudon)

Abstract

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We develop numerical methods for the simulation of laden-flows where particles interact with the carrier fluid through drag forces. Semi-Lagrangian techniques are presented to handle the Vlasov-type equation which governs the evolution of the particles. We discuss several options to treat the coupling with the hydrodynamic system describing the fluid phase, paying attention to strategies based on staggered discretizations of the fluid velocity.

Keywords

Semi-Lagrangian methodsparticulate flows

MSC classification

Secondary:82C40: Kinetic theory of gases82C80: Numerical methods (Monte Carlo, series resummation, etc.)65M08: Finite volume methods

Information

Type
Research Article
Information
Communications in Computational Physics , Volume 19 , Issue 3 , March 2016, pp. 801 - 840
Copyright
Copyright © Global-Science Press 2016 

References

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