Use of the Boltzmann equation to simulate lattice-gas automata

Mathematics

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Automata Theory, Boltzmann Transport Equation, Hydrodynamic Equations, Chapman-Enskog Theory, Computerized Simulation, Lattices (Mathematics), Navier-Stokes Equation

Scientific paper

An alternative to the lattice-gas automata (LGA) for the investigation of hydrodynamic properties is proposed, i.e., the lattice gas is modeled with a Boltzmann equation. It is found that this approach completely eliminates the statistical noise connected with the usual lattice-gas simulations and thus permits simulations that demand much less computer time. This technique is estimated to be more efficient that the LGA for intermediate to low Reynolds numbers (less than about 100).

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