A recently proposed lattice gas model for simulating surface waves at
a free boundary is described in detail. Simulated waves are compared t
o linear theory and are seen to compare well, provided an additional p
arameter epsilon is introduced. This parameter, epsilon, is investigat
ed and found to be required due to the density gradient produced acros
s the fluid by the gravitational interaction. Its value and the values
of the other model parameters are found for a range of gravitational
strengths. (C) 1997 American Institute of Physics.