Lattice Gas Methods

Gary D. Doolen is Acting Director of the Center for Nonlinear Studies at Los Alamos National Laboratory.

Part 1 Overviews and frontiers: statistical mechanics and hydrodynamics of lattice gas automata - an overview, J.P. Boon; a kinetic theorist's look at lattice gas cellular automata, X.P. Kong and E.G.D. Cohen; spontaneous curvature in a class of lattice gas field theories, B. Hasslacher. Part 2 Viscosity and hydrodynamic modes: low-viscosity lattice gases, B. Dubrulle, et al; counting hydrodynamic modes in a lattice gas automata models, G. Zanetti. Part 3 Multiphase and porous media: analysis of surface tension in two-phase lattice gases, J.A. Somers and P.C. Rem; a lattice-gas model for three immiscible fluids, A.K. Gunstensen and D.H. Rothman; Galilean-invariant immiscible lattice gas, A.K. Gunstensen and D.H. Rothman; fingering instability in a lattice gas, F. Hayot; lattice gas automata for flow through porous media, S. Chen, et al; a liquid-gas model on a lattice, C. Appert; lattice gas automata models for nonideal gas fluids, S. Chen, et al. Part 4 Reactions and diffusion: a lattice gas automata model for heterogeneous chemical reactions at mineral surfaces and in pore networks, J.T. Wells, et al; deterministic lattice model for diffusion-controlled crystal growth, F. Liu and N. Goldenfeld; reactive lattice gas automata, A. Lawniczak, et al; a stochastic cellular automaton simulation of the non-linear diffusion equation, L. Brieger and E. Bonomi; multispecies 2D lattice gas with energy levels - diffusive properties, D. Bernardin, et al. Part 5 Basic relations and long-time correlations: tagged particle diffusion in 3D gas celular automata, M.A. van der Hoef and D. Frenkel; mode-coupling theory and tails in CA fluids, M.H. Ernst; long-time correlations in a 2D lattice gas, A. Noullez and J.P. Boon. Part 6 Lattice Boltzmann: the lattice Baltzmann equation - a new tool for computational fluid dynamics, S. Succi, et al; relation between the lattice Boltamann equation and the Navier-Stokes equations, U. Frisch; boundaries in lattice gas flows, P. Lavallee, et al; A Knudsen layer theory for lattice gases, R. Cornubert, et al. Part 7 Computer hardware: programmable matter - concepts and realization, T. Toffoli and N. Margolus. Part 8 Applications: lattice gas simulations of free-boundary flows, K.A. Cliffe, et al; boundary and obstacle processing in a vectorized model of lattice gas hydrodynamics, G. Riccardi, et al. Appendix: bibliography for NATO workshop on lattice gas methods for PDEs - theory, applications and hardware.