Lattice gas automaton simulation of acoustic streaming in a two-dimensional pipe

The lattice gas automaton fluid modelling technique is used to study acoustic streaming phenomena arising from the interaction of sound waves with no-slip boundaries in a two-dimensional pipe. It is demonstrated that this fluid simulation tool is able to reproduce the general form of the acoustic streaming flow field observed by Andrade [Proc. R. Soc. London 175, 1 (1883)] and predicted by Lord Rayleigh [Philos. Trans. R. Sec. London 175, 1 (1884)]. The differences that are evident may be due to the restrictions on the computing resource which prohibits the use of a lattice large enough to fulfill the conditions used by Rayleigh in his derivation of the acoustic streaming flow field. (C) 1997 American Institute of Physics.