Numerical simulation of particle-fluid flows: Validation and Comparison of Direct model and Drag law model

Vincent Komiwes, Christophe Denis and Hans Herrmann

Vincent Komiwes 1, Christophe Denis 1 and Hans Herrmann 2


1 Laboratoire d’Informatique de Paris 6, Université Pierre et Marie Curie - Paris 6, 4 place jussieu, 75252 Paris Cedex 05, France Email: vkomiwes@netscape.net
2 IfB, ETH Zurich, Schafmattstr.6, 8093 Zurich, Switzerland

ABSTRACT In order to reliably simulate particle-fluid mixtures on the particle scale, this paper presents the validation and a comparison of two computational methods based on solving the Navier-Stokes coupling with a discrete model for particles. The fluid models are based on a Navier-Stokes solver around each particle (Direct model) and on a volume-averaged Navier-Stokes solver with a Drag law (Drag law model). After a short review of the models, we validate and compare them by the two following cases: Periodic Stokes flow through porous and Sedimentation with analytical expressions and empirical laws. The purpose is to show the advantages and limitations of the two models. We show that the Drag law model is very efficient in CPU time and requires less memory consumption than the Direct model, but is restricted to the dense media.

 

KEYWORDS: Computational methods, Numerical simulation, Computational fluid dynamics, Fluid-particle mixture, Projection method, Navier-Stokes, Discrete model, Drag force, Porous media, Sedimentation


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