Download or read book Lattice Gas Hydrodynamics written by J.-P. Rivet and published by Cambridge University Press. This book was released on 2001-01-04 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 collisions when their trajectories meet. If the collisions occur according to some simple logical rules, and if the lattice has 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 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 which capture the essentials of actual fluctuations in real fluids.

Download or read book Lattice Gas Hydrodynamics written by Jean P. Boon and published by . This book was released on 1987 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recently, the development of a 'poor man version' of the molecular dynamics approach has been stimulated by progress and perspectives in parallel computers. Similarly as for molecular dynamics simulations, the prediction of flows in fluids will follow from a microscopic description of interacting particles, but here the particles are confined to points moving along the links of a regular lattice, and interactions reduce to simple mathematical rules. The motivation for using a lattice gas (in fact, a well known model system in Statistical Physics) to simulate hydrodynamics stems from the idea that the details of the microscopic properties should be unimportant to the macroscopic behavior of the fluid. So whether the fictitious micro-world one uses is a caricature of a real fluid does not matter as long as it produces correct hydrodynamics. To what extent does lattice gas hydrodynamics meet this goal? To answer this question, we first build up the constitutive elements to construct a lattice gas; then we put a model system to work and present the results of hydrodynamic simulations; finally the computational aspects of present and future realizations are reviewed.

Download or read book Lattice Gas Cellular Automata written by Daniel H. Rothman and published by Cambridge University Press. This book was released on 1997-08-28 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained, comprehensive introduction to the theory of hydrodynamic lattice gases.

Download or read book Discrete Kinetic Theory Lattice Gas Dynamics And Foundations Of Hydrodynamics Proceedings Of The Workshop written by Roberto Monaco and published by World Scientific. This book was released on 1989-04-01 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings will concentrate, with the aim of presenting the most recent results, on the relevant problems in the mathematics and physics of the discrete kinetic theory, lattice gas dynamics and foundations of hydrodynamics. In particular the following three fields will be covered: (i) Mathematical models and applications in discrete kinetic theory; (ii) Lattice gas in two and three dimensions; (iii) Hydrodynamic limit and foundations of fluidodynamics.

Download or read book Lattice Gas Methods For Partial Differential Equations written by Gary Doolen and published by CRC Press. This book was released on 2019-03-01 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the idea of using discrete methods for modeling partial differential equations occurred very early, the actual statement that cellular automata techniques can approximate the solutions of hydrodynamic partial differential equations was first discovered by Frisch, Hasslacher, and Pomeau. Their description of the derivation, which assumes the validity of the Boltzmann equation, appeared in the Physical Review Letters in April 1986. It is the intent of this book to provide some overview of the directions that lattice gas research has taken from 1986 to early 1989.

Download or read book Lattice Gas Hydrodynamics of One and Two Phase Fluids in Two and Three Dimensions Theory and Simulation written by Karen Lisa Diemer and published by . This book was released on 1992 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Lattice Gas Dynamics written by Jeffrey Yepez and published by . This book was released on 1995 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory and computation of lattice gas dynamics for viscous fluid hydrodynamics is presented. Theoretical analysis of these exactly conserved, discrete models is done using the Boltzmann approximation, a mean-field theoretical treatment. Theoretical results are then compared to numerical data arrived by exactly computed simulations of simple lattice-gas systems. The numerical simulations presented were carried out on a prototype lattice-gas machine, the CAM-8, which is a virtual finegrained paralled mesh architecture suitable for discrete modeling in arbitrary dimensions. Single speed and multi-speed lattice gases are treated. The new contribution is an integer lattice gas with many particles per momentum state. Comparisons are made between the mean-field theory and numerical experiments for shear viscosity transport coefficient.

Download or read book Lattice Gas Hydrodynamics written by and published by . This book was released on 1993 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first successful application of a microscopic analogy to create a skeleton cellular automaton and analyze it with statistical mechanical tools, was the work of Frisch, Hasslacher and Pomeau on the Navier-Stokes equation in two and three dimensions. This has become a very large research area with lattice gas models and methods being used for both fundamental investigations into the foundations of statistical mechanics and a large number of diverse applications. This present research was devoted to enlarging the fundamental scope of lattice gas models and proved successful. Since the beginning of this proposal, cellular automata have been constructed for statistical mechanical models, fluids, diffusion and shock systems in fundamental investigations. In applied areas, there are now excellent lattice gas models for complex flows through porous media, chemical reaction and combustion dynamics, multiphase flow systems, and fluid mixtures with natural boundaries. With extended cellular fluid models, one can do problems with arbitrary pairwise potentials. Recently, these have been applied to such problems as non-newtonian or polymeric liquids and a mixture of immiscible fluids passing through fractal or spongelike media in two and three dimensions. This proposal has contributed to and enlarged the scope of this work.

Download or read book Lattice Gas Methods written by Gary D. Doolen and published by MIT Press. This book was released on 1991 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on progress in applying the lattice gas approach to partial differential equations that arise in simulating the flow of fluids.Lattice gas methods are new parallel, high-resolution, high-efficiency techniques for solving partial differential equations. This volume focuses on progress in applying the lattice gas approach to partial differential equations that arise in simulating the flow of fluids. It introduces the lattice Boltzmann equation, a new direction in lattice gas research that considerably reduces fluctuations.The twenty-seven contributions explore the many available software options exploiting the fact that lattice gas methods are completely parallel, which produces significant gains in speed. Following an overview of work done in the past five years and a discussion of frontiers, the chapters describe viscosity modeling and hydrodynamic mode analyses, multiphase flows and porous media, reactions and diffusion, basic relations and long-time correlations, the lattice Boltzmann equation, computer hardware, and lattice gas applications.Gary D. Doolen is Acting Director of the Center for Nonlinear Studies at Los Alamos National Laboratory.

Download or read book Lattice Gas Hydrodynamics written by Brossl Hasslacher and published by . This book was released on 1993* with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Lattice Gas Hydrodynamics written by Jacek Myczkowski and published by . This book was released on 1988 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Lattice Gas Hydrodynamics written by and published by . This book was released on 1993 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first successful application of a microscopic analogy to create a skeleton cellular automaton and analyze it with statistical mechanical tools, was the work of Frisch, Hasslacher and Pomeau on the Navier-Stokes equation in two and three dimensions. This has become a very large research area with lattice gas models and methods being used for both fundamental investigations into the foundations of statistical mechanics and a large number of diverse applications. This present research was devoted to enlarging the fundamental scope of lattice gas models and proved quite successful. Since the beginning of this proposal, cellular automata have been constructed for statistical mechanical models, fluids, diffusion and shock systems in fundamental investigations. In applied areas, there are now excellent lattice gas models for complex flows through porous media, chemical reaction and combustion dynamics, multiphase flow systems, and fluid mixtures with natural boundaries. With extended cellular fluid models, one can do problems with arbitrary pairwise potentials. Recently, these have been applied to such problems as non-newtonian or polymeric liquids and a mixture of immiscible fluids passing through fractal or spongelike media in two and three dimensions. This proposal has contributed to and enlarged the scope of this work.

Download or read book Lattice Gas Hydrodynamics written by and published by . This book was released on 1993 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first successful application of a microscopic analogy to create a skeleton cellular automaton and analyze it with statistical mechanical tools, was the work of Frisch, Hasslacher and Pomeau on the Navier-Stokes equation in two and three dimensions. This has become a very large research area with lattice gas models and methods being used for both fundamental investigations into the foundations of statistical mechanics and a large number of diverse applications. This present research was devoted to enlarging the fundamental scope of lattice gas models and proved successful. Since the beginning of this proposal, cellular automata have been constructed for statistical mechanical models, fluids, diffusion and shock systems in fundamental investigations. In applied areas, there are now excellent lattice gas models for complex flows through porous media, chemical reaction and combustion dynamics, multiphase flow systems, and fluid mixtures with natural boundaries. With extended cellular fluid models, one can do problems with arbitrary pairwise potentials. Recently, these have been applied to such problems as non-newtonian or polymeric liquids and a mixture of immiscible fluids passing through fractal or spongelike media in two and three dimensions. This proposal has contributed to and enlarged the scope of this work.

Download or read book Lattice Gas Hydrodynamics in Two and Three Dimensions written by and published by . This book was released on 1986 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Hydrodynamical phenomena can be simulated by discrete lattice gas models obeing cellular automata rules (U. Frisch, B. Hasslacher, and Y. Pomeau, Phys. Rev. Lett. 56, 1505, (1986); D. d'Humieres, P. Lallemand, and U. Frisch, Europhys. Lett. 2, 291, (1986)). It is here shown for a class of D-dimensional lattice gas models how the macrodynamical (large-scale) equations for the densities of microscopically conserved quantities can be systematically derived from the underlying exact ''microdynamical'' Boolean equations. With suitable restrictions on the crystallographic symmetries of the lattice and after proper limits are taken, various standard fluid dynamical equations are obtained, including the incompressible Navier-Stokes equations in two and three dimensions. The transport coefficients appearing in the macrodynamical equations are obtained using variants of fluctuation-dissipation and Boltzmann formalisms adapted to fully discrete situations.

Download or read book Lattice Gas Models of Complex Fluid Hydrodynamics written by and published by . This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This document is the final report for AFOSR Grant F49620-97-1-0172, "Lattice-Gas Models of Complex-Fluid Hydrodynamics." Under the terms of this grant, the Center for Computational Science at Boston University provided theoretical and computational support to the Lattice-Gas Theory and Computation group at the Space Vehicles Directorate of Air Force Research Laboratory (AFOSR task 2304CP). The principal research topics were the development of lattice-gas and lattice Boltzmann models for complex fluids and droplets, the development and analysis of quantum lattice-gas automata, and the development of unconditionally stable entropic lattice Boltzmann models for viscous fluid dynamics. Nine publications have resulted from this effort, as well as the editorship of the Proceedings of the Seventh International Conference on Discrete Models for Fluid Mechanics as a special issue of the International Journal of Modern Physics C. The principal results of this work are described and their significance is placed in historical perspective.

Download or read book Lattice Gas Hydrodynamics with Galilean Invariance written by Peter Andrew Donis and published by . This book was released on 1988 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Pattern Formation and Lattice gas Automata written by Anna T. Lawniczak and published by American Mathematical Soc.. This book was released on 1996 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles review the diverse recent progress in the theory and development of lattice-gas and lattice Boltzmann methods and their applications. It features up-to-date articles, takes an interdisciplinary approach including mathematics, physical chemistry, and geophysics.