Journal
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
Volume 37, Issue 6, Pages 577-596Publisher
WILEY
DOI: 10.1002/nag.1109
Keywords
particlefluid system; lattice Boltzmann method; discrete element method; fluid flow; soil piping erosion; hole erosion test
Funding
- French Region Pays de la Loire through the EMERMOD project
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In this article, we present a numerical method to deal with fluidsolid interactions and simulate particlefluid systems as encountered in soils. This method is based on a coupling between two methods, now widely used in mechanics of granular media and fluid dynamics respectively: the discrete element (DE) method and the lattice Boltzmann (LB) method. The DE method is employed to model interactions between particles, whereas the LB method is used to describe an interstitial Newtonian fluid flow. The coupling presented here is a full one in the sense that particle motions act on fluid flow and reciprocally. This article presents in details each of the two methods and the principle of the coupling scheme. Determination of hydrodynamic forces and torques is also detailed, and the treatment of boundaries is explained. The coupled method is finally illustrated on a simple example of piping erosion, which puts in evidence that the combined LBDE scheme constitutes a promising tool to study coupled problems in geomechanics. Copyright (c) 2011 John Wiley & Sons, Ltd.
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