1264 ランダムに回転する離散粒子速度を用いた不規則格子上での格子ボルツマン法

概要

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Lattice Boltzmann Method (LBM) has been extended to complex geometries with various procedures although it is originally a numerical method calculating flows on regular symmetrical lattice. In this paper, numerical simulations with LBM of D2Q9 lattice, BGK approximation and interpolated-supplemented are carried out for flows around 2-dimensional circular cylinder to illustrate influences on the flow properties especially on the cylinder's surface as a result of directional nonuniformity of discretized lattice velocities caused by confining molecular velocities to finite number. We propose a method which makes the set of lattice velocities rotate at random with conservation of total mass, momentum and Boltzmann's H-function for distribution functions of each lattice velocity size. This method applies to the above simulation of 2-D circular cylinder and the result shows independence of lattice structure while oscillative characteristics which can be removed with time average appears.
社団法人日本機械学会の論文
2002-09-20