% Reference Papers % Abdulmajed Dakkak Stephen Wolfram =============== * S. Wolfram. Cellular automaton fluids 1: Basic theory. Journal of Statistical Physics, 45(3):471-526, 1986. ([pdf][wolfram.caf]) * S. Wolfram. Cellular automation supercomputing. 1988. ([html][wolfram.casc]) * S. Wolfram. Minimal cellular automaton approximations to continuum systems. In Stephen Wolfram, editor, Cellular Automata and Complexity: collected papers. Addison-Wesley, 1994. ([html][wolfram.min]) * S. Wolfram. Statistical mechanics of cellular automata. Reviews of Modern Physics, 55(3):601-644, 1983. ([pdf][wolfram.smca]) * N.H. Packard and S. Wolfram. Two-dimensional cellular automata. Journal of Statistical Physics, 38(5):901-946, 1985. ([pdf][wolfram.2dca]) * S. Wolfram. Twenty problems in the theory of cellular automata. Physica Scripta, 9:170-183, 1985. ([html][wolfram.20p]) * J.B. Salem and S. Wolfram. Thermodynamics and hydrodynamics with cellular automata. Theory and Applications of Cellular Automata. World Scientific, 1986. ([html][wolfram.thca]) [wolfram.min]: http://www.stephenwolfram.com/publications/articles/ca/86-minimal/ [wolfram.2dca]: files/wolfram.2dca.pdf [wolfram.caf]: files/wolfram.caf.pdf [wolfram.computationaltheory]: files/wolfram.computationaltheory.pdf [wolfram.smca]: files/wolfram.smca.pdf [wolfram.universityofca]: files/wolfram.universityofca.pdf [wolfram.casc]: http://www.stephenwolfram.com/publications/articles/ca/88-cellular/ [wolfram.20p]: http://www.stephenwolfram.com/publications/articles/ca/85-twenty/index.html [wolfram.thca]: http://www.stephenwolfram.com/publications/articles/ca/85-thermodynamics/ Notable Papers ============== * Frisch, U., Hasslacher, B., and Pomeau, Y. (1986). Lattice-gas automata for the navier-stokes equation. Physical Review Letters, 56(14):1505+. ([pdf][fhp1986]) * U. Frisch, D. d'Humieres, B. Hasslacher, P. Lallemand, Y. Pomeau, and J-P. Rivet. Lattice gas hydrodynamics in two and three dimensions. In Doolen et al. ([pdf][fhp1987]) * HASSLACHER, B. 1987. Discrete fluids. Los Alamos Sci. 15, Special Issue, 175-217. ([pdf][hasslacher.discretefluids]) [fhp1986]: files/fhp1986.pdf [fhp1987]: files/fhp1987.pdf [hasslacher.discretefluids]: files/hasslacher.discretefluids.pdf Review Papers ============= * Boghosian, B. M. 1999. Lattice gases and cellular automata. Future Gener. Comput. Syst. 16, 2-3 (Dec. 1999), 171-185. ([pdf][bogosian.latticegases]) [bogosian.latticegases]: files/boghosian.latticegases.pdf Parallel Computing ================== * Margolus et al., "Cellular-Automata Supercomputers for Fluid-Dynamics Modeling," Physical Review Letters, vol. 56, No. 16, pp. 1694-1696 (Apr. 1986) ([pdf][margolus.casfdm]) [margolus.casfdm]: files/margolus.casfdm.pdf files/Lattice-gas automata fluids on parallel supercomputers.pdf Books ===== * Wolf-Gladrow, Dieter. Lattice-Gas Cellular Automata and Lattice Boltzmann Models: an Introduction. Santa Clara: Springer-Verlag TELOS, 2000. ([pdf][wolf.book]) [wolf.book]: files/Wol2000c.pdf