Abstract
The Lattice Boltzmann Method (LBM) was used to study the propagation of high amplitude progressive sound wave radiated from a piston in a duct. The formation of a shock front and the development of saw tooth waves are simulated when the effect of nonlinearity is strong relative to thermoviscous dissipation. The wave deformation is compared with the solution of Burgers equation that describes the combined effects of nonlinearity and losses on the propagation of plane progressive waves. The results show good agreement with Burgers equation and suggest that the LBM is useful for studying nonlinear acoustics problems.
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