Lattice Gas Methods For Partial Differential Equations

Preface / Gary D. Doolen -- Basic Papers -- Calculations Using Lattice Gas Techniques / T. Shimomura, G. D. Doolen, B. Hasslacher and C. Fu -- Lattice-Gas Automata for the Navier-Stokes Equation / U. Frisch, B. Hasslacher, and Y. Pomeau -- Cellular Automaton Fluids 1: Basic Theory -- Stephen Wolfram -- Lattice Gas Hydrodynamics in Two and Three Dimensions / Uriel Frisch, Dominique d'Humieres, Brosl Hasslacher, Pierre Lallemand, Yves Pomeau, and Jean-Pierre Rivet -- Density and Velocity Dependence of Reynolds Numbers for Several Lattice Gas Models / K. Diemer, K. Hunt, S. Chen, T. Shimomura and G. D. Doolen -- Viscosity of a Lattice Gas / Michel Henon -- Computer Hardware Papers -- Prospects for a Lattice-Gas Computer / A. Despain, C. E. Max, G. Doolen and B. Hasslacher --Cellular Automata Machines / Norman Margo/us and Tommaso Toffoli -- RAPl, a Cellular Automaton Machine for Fluid Dynamics / Andre Clouqueur and Dominique d'Humieres -- Hydrodynamic Studies and Application Papers -- Reynolds Number Scaling of Cellular-Automaton Hydrodynamics / Steven A. Orszag and Victor Yakhot -- Immiscible Cellular-Automaton Fluids / Danied H. Rothman and Jeffrey M. Keller -- Analogy between Hyperscale Transport and Cellular Automaton Fluid Dynamics / Victor Yakhot, Bruce J. Bayly, and Steven A. Orszag -- Use of the Boltzmann Equation to Simulate Lattice-Gas Automata / Guy R. McNamam and Gianluigi Zanetti -- Numerical Simulations of Hydrodynamics with Lattice Gas Automata in Two Dimensions / Dominique d'Humieres and Pierre Lallemand -- Numerical Experiments on Lattice Gases: Mixtures and Galilean In variance / Dominique d'Humieres, Pierre Lallemand, and Geoffrey Searby -- Transport Coefficients for Magnetohydrodynamic Cellular Automata / Tudatsugu Hatori and David Montgomery --The Effect of Galilean N on-Invariance in Lattice Gas Automaton One-Dimensional Flow / Fernand Hayot -- A Posieuille Viscometer for Lattice Gas Automata / Leo P. Kadanoff, Guy R. McNamma, and Gianluigi Zanetti -- Green-Kubo Formalism for Lattice Gas Hydrodynamics and Monte-Carlo Evaluation of Shear Viscosities / Jean-Pierre Rivet -- Cellular Automata for Hydrodynamics with Free Boundaries in Two and Three Dimensions / P. Clavin, D. d'Humieres, P. Lal/emand, and Y. Pomeau -- Simulation of 2-D Von Karman Streets using a Lattice Gas / D. d'Humieres, Y. Pomeau and P. Lallemand -- Flow of a Lattice Gas between Two Parallel Plates: Development of the Poiseuille Profile / D. d'Humieres and P. Lal/emand -- Lattice Gas Hydrodynamics, Green-Kubo Formula / U. Frisch and J. P. Rivet -- Lattice Gas Automata in the Boltzmann Approximation / J. P. Rivet and U. Frish --More Partial Differential Equations -- New Cellular Automaton Model for Magnetohydrodynamics / Hudong Chen and William H. Matthaeus -- Two Cellular Automata for Plasma Computations / David Montgomery a.nd Gary D. Doolen -- Numerical Experiments with Lattice Lorentz Gases / P.-M. Binder -- A Cellular Automaton for Burgers' Equation / B.M. Boghosian and C. D. Levermore -- Simple Lattice Gas Models for Waves / Hudong Chen, Shiyi Chen, G. D. Doolen, and Y. C. Lee -- Bibliography / ~ry~~n