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Lattice Boltzmann Model for the Ensemble Averaged Distribution Function

The problem with the noise in the lattice gas model has been overcome by the development of the first Lattice Boltzmann model [39] which replaces the Boolean lattice variables tex2html_wrap_inline13913 with there ensemble averaged quantities tex2html_wrap_inline13915 where tex2html_wrap_inline13917 . The averaged quantities tex2html_wrap_inline13915 are now real functions in the range tex2html_wrap_inline13921 and the average mass and momentum are given (see equations (3.9)-(3.12)) by

equation1726

and

equation1730

The evolution of f, the distribution function, is found by ensemble averaging the lattice gas collision function,

equation1737



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