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The force coupling method: A flexible approach for the simulation of particulate flows

Climent, Eric and Maxey, Martin R. The force coupling method: A flexible approach for the simulation of particulate flows. (2009) In: Theoretical Methods for Micro Scale Viscous Flows. Transworld Research Network, Kerala, India, pp. 1-21. ISBN 978-81-7895-400-4

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Abstract

We describe the basis of the Force Coupling Method. The flow disturbance induced by each particle in a suspension is represented by a low order multipole expansion. The finite size of the particles is related to the width of the finite localized forcing added to the Stokes equations. Particles are tracked in a Lagrangian framework while all the trajectories are coupled through the direct solutions of hydrodynamic interactions supplemented by the pairwise lubrication forces when particles are close to contact. The method is validated on analytic solutions for simple configurations of isolated particles or pairs of particles. Then, some fundamental configurations of suspension flows are investigated using the Force Coupling Method. Macroscopic quantities characterizing the dynamics of a suspension settling under gravity or embedded in a pure shear flow show that our approach is suitable for simulating particulate flows with a moderate computational cost. This method may be adapted to any numerical code solving the Eulerian equations of the carrying fluid flow equations. In conclusion, we give some examples of further developments of the method and applications to complex suspension involving interparticle forces or wall bounded geometries.

Item Type:Book Section
Additional Information:Thanks to Transworld Research Network. Theoretical Methods for Micro Scale Viscous Flows is available at http://www.trnres.com/
Uncontrolled Keywords:
Institution:Other partners > Brown University (USA)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Paul Sabatier-Toulouse III - UPS (FRANCE)
Laboratory name:
Laboratoire de Génie Chimique - LGC (Toulouse, France) - Génie des Interfaces & Milieux Divisés (GIMD)
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Deposited By: Eric CLIMENT
Deposited On:02 Apr 2013 09:14

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