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Phys. Rev. E 79, 036705 (2009) [9 pages]

Corrected momentum exchange method for lattice Boltzmann simulations of suspension flow

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Eric Lorenz*, Alfonso Caiazzo, and Alfons G. Hoekstra
University of Amsterdam, Kruislaan 403, 1098 SJ Amsterdam, The Netherlands

Received 15 August 2008; published 26 March 2009

Standard methods for lattice Boltzmann simulations of suspended particles, based on the momentum exchange algorithm, might lack accuracy or violate Galilean invariance in some particular situations. Aiming at simulations of dense suspensions in high-shear flows, we motivate and investigate necessary correction terms. We propose an approach which, combining accurate treatments of fluid-structure interaction and moving boundaries, is able to preserve Galilean invariance in relevant orders and to improve the physical behavior of the system. We validate the approach in a comparison with standard methods in simple test problems.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.79.036705
DOI:
10.1103/PhysRevE.79.036705
PACS:
02.70.−c, 47.57.E−, 47.11.Qr

*E.Lorenz@uva.nl

A.Caiazzo@uva.nl

A.G.Hoekstra@uva.nl