A Simple Lattice Boltzmann Scheme for Navier-Stokes Fluid Flow

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, , Citation J. M. V. A. Koelman 1991 EPL 15 603 DOI 10.1209/0295-5075/15/6/007

0295-5075/15/6/603

Abstract

A lattice Boltzmann algorithm for the computation of incompressible Navier-Stokes flow is presented. This algorithm can be written down in a simple, explicit form for a general class of lattices. By working consistently within a Boltzmann description, the model is free from ambiguities and inconsistencies. It automatically gives rise to isotropic, Galilean-invariant flow behaviour for any regular 2D and 3D lattice of sites.

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10.1209/0295-5075/15/6/007