Lattice BGK simulation of sound waves
Department of Physics and Astronomy, The University of Edinburgh, Mayfield Road, Edinburgh EH9 3JZ, UK
Accepted: 16 June 1998
We consider the application of the lattice Boltzmann BGK model to simulate sound waves in situations where the density variation is small compared to the mean density. Linear sound waves are simulated in two different situations: a plane wave propagating in an unbound region; and a wave in a tube. For both cases the behaviour of the simulated waves is found to be in good agreement with analytic expressions. Non-linear sound waves are also simulated and are seen to display the expected features.
PACS: 02.70.-c – Computational techniques / 43.20.Hq – Velocity and attenuation of acoustic waves / 43.25.+y – Nonlinear acoustics, macrosonics
© EDP Sciences, 1998