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Development of the Lattice Gas Model

It is assumed that the macroscopic behaviour of a fluid does not depend directly on the detailed microscopic behaviour. This is similar to the BGK assumption in the classical Boltzmann theory, see section 2.4. Thus in general any system which satisfies the continuity equation (1.1) and the Navier-Stokes equation (1.2) can be used to model a fluid, the detail of the microscopic behaviour is not important. A cellular automata approach to modelling the microscopic behaviour has the advantage that it can be implemented efficiently and quickly on a computer. The fluid properties are incorporated into the update rules.




James Buick
Tue Mar 17 17:29:36 GMT 1998