SOUND-PROPAGATION SIMULATIONS USING LATTICE-GAS METHODS

A new lattice gas model for one-dimensional sound propagation has been recently proposed by the authors. In this paper, its extension to a sound propagation model in a two-dimensional square lattice is discussed. A variation on standard splitting methods is used to extend the formulation developed for the one-dimensional model to obtain a two-dimensional model. In arbitrary directions of propagation the method is at least second order accurate. However, the accuracy is greatly increased for narrow angle propagation along the coordinate axes,