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The Conservation Equations

 

The derivation of the continuity equation and the Navier-Stokes equation from the equilibrium distribution is normally carried out using a Chapman-Enskog expansion, following the lattice gas derivation of Frisch [8]. This is shown below for a model, first used by Chen et al. [45], which is for a D-dimensional grid with b links where the particle speed is tex2html_wrap_inline14127 .





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