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Lattice gas hydrodynamics is the name used to describe the approach to fluid dynamics starting from a simple micro-world constructed as an automaton universe. In this universe, the microscopic dynamics is based not on a realistic description of interacting particles, but merely on the laws of symmetry and of invariance of macroscopic physics. We imagine point-like particles residing on a regular lattice, where they move from node to node and undergo collisions when their trajectories meet at the same node. If the collisions occur according to some simple logical rules, and if the lattice bas the proper symmetry, then the automaton shows global behavior very similar to that of real fluids. This book carries two important messages. First, it shows how an automaton universe with very simple microscopic dynamics - the lattice gas - can exhibit macroscopic behavior in accordance with the phenomenological laws of classical physics. Second, it demonstrates that lattice gases have spontaneous microscopic fluctuations that capture the essentials of actual fluctuations in real fluids. The two aspects are closely related, offering a microscopic approach to the description of fluid systems. Accordingly, the book follows the philosophy of classical statistical mechanics, and introduces the reader to the world of the discrete analogue of continuous molecular hydrodynamics. This book will be of interest to graduate students and researchers in statistical physics, computational physics, hydrodynarnics, applied mathematics and engineering.

...ar automata. Our group originally contributed to the birth of this field; today, the CAM-8 architecture provides perhaps the best computing platform for lattice gas investigations ... (PDF) Statistical hydrodynamics of lattice-gas automata ... . We are intensively collaborating with Phillips Laboratory, Hanscom Field ... obey the Navier-Stokesequation, the use of lattice gas models to study hydrodynamics has received considerable interest during the last two years 12]. However, the Navier-Stokes equation is recovered only in the limit of large systems and for incompressible flows. More theoretical analysis remains to be done to bound the error ... (PDF) Lattice Gas Hydrodynamics in Two and Three Dimensions ... . However, the Navier-Stokes equation is recovered only in the limit of large systems and for incompressible flows. More theoretical analysis remains to be done to bound the errors of the lattice gas numerical scheme for finite lattice sizes and ... Statistical hydrodynamics of lattice-gas automata Article (PDF Available) in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 48(4):2655-2668 ... Lattice Gas Hydrodynamics describes the approach to fluid dynamics using a micro-world constructed as an automaton universe, where the microscopic dynamics is based not on a description of interacting particles, but on the laws of symmetry and invariance of macroscopic physics. We imagine point-like particles residing on a regular lattice, where they move from node to node and undergo ... Lattice gas hydrodynamics is the name used to describe the approach to fluid dynamics starting from a simple micro-world constructed as an automaton universe. In this universe, the microscopic dynamics is based not on a realistic description of interacting particles, but merely on the laws of symmetry and of invariance of macroscopic physics. We imagine point-like particles residing on a ... Lattice Gas Hydrodynamics. Authors; Authors and affiliations; D. d'Humières; P. Lallemand; Conference paper. 152 Downloads; Part of the Springer Series in Synergetics book series (SSSYN, volume 41) Abstract. Lattice gases are first introduced to allow a simplified description of a real fluid at atomic level. The results of a statistical analysis of those systems are then presented to show ... Lattice Gas Hydrodynamics by J.-P. Rivet, 9780521419444, available at Book Depository with free delivery worldwide. Lattice gas hydrodynamics par Boon, Jean-Pierre , Noullez, Alain Publication AGARD (Advisory Group for Aerospace Research & Development), 1987 Temporal Diffusion: From Microscopic Dynamics to Generalised Fokker-Planck and Fractional Equations ... Lattice gas hydrodynamics; Auteur: Boon, Jean-Pierre; Noullez, Alain: Informations sur la publication: Special course on modern theoretical and experimental approaches to turbulent flow structure and its modelling, AGARD (Advisory Group for Aerospace Research & Development) Statut de publication: Publié, 1987 : series: Paper Reprint from Report, 755: Sujet CREF: Physique: Langue: Anglais ... Lattice Gas Hydrodynamics describes the approach to fluid dynamics using a micro-world constructed as an automaton universe, where the microscopic dynamics is based not on a description of interacting particles, but on the laws of symmetry and invariance of macroscopic physics. We imagine point-like particles residing on a regular lattice, where they move from node to node and undergo ... Lattice Boltzmann Representations of Neutral Gas Hydrodynamics Lattice Boltzmann Representations of Neutral Gas Hydrodynamics Krasheninnikov, S. I.; Catto, Peter J. 1998-01-01 00:00:00 (a) MIT. Plasma Science and Fusion Center, Cambridge, MA, U.S.A. (b) Kurchatov Institute of Atomic Energy, Moscow,Russia (c) Lodestar Research Corporation,Boulder, CO, U.S.A. Abstract Lattice Boltzmann ... Reset your password. If you have a user account, you will need to reset your password the next time you login. You will only need to do this once. Lattice Gas Hydrodynamics by J.-P. Rivet, 9780521019712, available at Book Depository with free delivery worldwide. Lattice Gas Hydrodynamics describes the approach to fluid dynamics using a micro-world constructed as an automaton universe, where the microscopic dynamics is based not on a description of interacting particles, but on the laws of symmetry and invariance of macroscopic physics. We imagine point-like particles residing on a regular lattice, where they move from node to node and undergo ... We present results of numerical simulat ions of the Frisch, Hasslacher, and Porneau lattice gas model and of som e of its variants. Equilib rium distributions and several linear and nonlinear hydrodynamics flows ar e presented . We sho w that interesting phenomena can be studied with this class of mod els, even for lattices of limited sizes . 1 . Introdu ction Since Frisch , Hasslacher, and ... Cellular automata (CA) and lattice-Boltzmann (LB) models are two possible approaches to simulate fluid-like systems. CA models keep track of the many-body correlations and provide a description of ......