Abstract
We have conducted the basic study on the lattice Boltzmann method from the viewpoint of applying it to many particle suspensions, by considering a uniform flow past a two-dimensional circular particle (i.e., cylinder). Successful application of the lattice Boltzmann method to particle dispersions is strongly dependent on what rough lattice system can be used, since the motion of suspended particles and the flow field have to be solved simultaneously; unless a rough lattice system is used, suspensions with sufficient number of particles cannot be treated in simulations. Hence, the present study mainly discusses the dependence of the flow field on the fineness of the lattice system, and the validity of several boundary models, including a revised boundary one presented here. Even if a significantly rough lattice system with the lattice unit width of one-fifth as long as the particle diameter is used, the results give rise to physically reasonable agreement with the Navier-Stokes solutions. We may, therefore, conclude that the lattice Boltzmann method is a promising tool as a micro-simulation technique with multi-body hydrodynamic interactions for many particle suspensions.
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