Abstract
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.
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