AFOSR Initiative Element: Lattice-Gas Automata and Lattice Boltzmann Methods as a Novel Parallel Computing Strategy

摘要

We present a simple way to add an arbitrary equation of state to a automaton gas modelled in the lattice Boltzmann limit. As a way of interpreting the lattice Boltzmann equation we present a new derivation based on an automaton Hamiltonian and the Liouville equation. A convective-gradient term added to the LBE is shown to be a sufficient route for modeling hydrodynamic flow with a general equation of state. The method generalizes to multi-speed gases in three- dimensions.