Towards the simplest hydrodynamic lattice-gas model.
It has been known since 1986 that it is possible to construct simple lattice-gas cellular automata whose hydrodynamics are governed by the Navier-Stokes equations in two dimensions. The simplest such model heretofore known has six bits of state per site on a triangular lattice. In this work, we demonstrate that it is possible to construct a model with only five bits of state per site on a Kagome lattice. Moreover, the model has a simple, deterministic set of collision rules and is easily implemented on a computer. In this work, we derive the equilibrium distribution function for this lattice-gas automaton and carry out the Chapman-Enskog analysis to determine the form of the Navier-Stokes equations.
Boghosian
Bruce M
BM
Department of Mathematics, Tufts University, Medford, MA 02155, USA. bruce.boghosian@tufts.edu
Love
Peter J
PJ
Meyer
David A
DA
D003198:Computer Simulation; D003460:Crystallization / Q000379:methods*; D004058:Diffusion; D005740:Gases / Q000737:chemistry*; D007700:Kinetics; D008956:Models, Chemical; D015233:Models, Statistical; D012212:Rheology / Q000379:methods*
D005740:Gases