Lattice Gas Cellular Automata A New Experimental Tool For Hydrodynamics
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Lattice Gas Cellular Automata A New Experimental Tool For Hydrodynamics
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Author : Los Alamos National Laboratory
language : en
Publisher:
Release Date : 1985
Lattice Gas Cellular Automata A New Experimental Tool For Hydrodynamics written by Los Alamos National Laboratory and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Lattice Gas Methods For Partial Differential Equations
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Author : Gary Doolen
language : en
Publisher: CRC Press
Release Date : 2019-03-01
Lattice Gas Methods For Partial Differential Equations written by Gary Doolen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-01 with Mathematics categories.
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.
Pattern Formation And Lattice Gas Automata
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Author : Raymond Kapral
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Pattern Formation And Lattice Gas Automata written by Raymond Kapral and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Cellular automata categories.
Lattice Gas Cellular Automata And Lattice Boltzmann Models
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Author : Dieter A. Wolf-Gladrow
language : en
Publisher: Springer
Release Date : 2004-10-19
Lattice Gas Cellular Automata And Lattice Boltzmann Models written by Dieter A. Wolf-Gladrow and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-19 with Mathematics categories.
Lattice-gas cellular automata (LGCA) and lattice Boltzmann models (LBM) are relatively new and promising methods for the numerical solution of nonlinear partial differential equations. The book provides an introduction for graduate students and researchers. Working knowledge of calculus is required and experience in PDEs and fluid dynamics is recommended. Some peculiarities of cellular automata are outlined in Chapter 2. The properties of various LGCA and special coding techniques are discussed in Chapter 3. Concepts from statistical mechanics (Chapter 4) provide the necessary theoretical background for LGCA and LBM. The properties of lattice Boltzmann models and a method for their construction are presented in Chapter 5.
A Vectorized Implementation Of A Cellular Automaton For Lattice Gas Hydrodynamics
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Author : Charles Michael Bauer
language : en
Publisher:
Release Date : 1990
A Vectorized Implementation Of A Cellular Automaton For Lattice Gas Hydrodynamics written by Charles Michael Bauer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Cellular automata categories.
Lattice Gas Methods
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Author : Gary D. Doolen
language : en
Publisher: MIT Press
Release Date : 1991
Lattice Gas Methods written by Gary D. Doolen and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
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.
Cellular Automata
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Author : Howard Gutowitz
language : en
Publisher: MIT Press
Release Date : 1991
Cellular Automata written by Howard Gutowitz and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Computers categories.
The thirty four contributions in this book cover many aspects of contemporary studies on cellular automata and include reviews, research reports, and guides to recent literature and available software. Cellular automata, dynamic systems in which space and time are discrete, are yielding interesting applications in both the physical and natural sciences. The thirty four contributions in this book cover many aspects of contemporary studies on cellular automata and include reviews, research reports, and guides to recent literature and available software. Chapters cover mathematical analysis, the structure of the space of cellular automata, learning rules with specified properties: cellular automata in biology, physics, chemistry, and computation theory; and generalizations of cellular automata in neural nets, Boolean nets, and coupled map lattices.Current work on cellular automata may be viewed as revolving around two central and closely related problems: the forward problem and the inverse problem. The forward problem concerns the description of properties of given cellular automata. Properties considered include reversibility, invariants, criticality, fractal dimension, and computational power. The role of cellular automata in computation theory is seen as a particularly exciting venue for exploring parallel computers as theoretical and practical tools in mathematical physics. The inverse problem, an area of study gaining prominence particularly in the natural sciences, involves designing rules that possess specified properties or perform specified task. A long-term goal is to develop a set of techniques that can find a rule or set of rules that can reproduce quantitative observations of a physical system. Studies of the inverse problem take up the organization and structure of the set of automata, in particular the parameterization of the space of cellular automata. Optimization and learning techniques, like the genetic algorithm and adaptive stochastic cellular automata are applied to find cellular automaton rules that model such physical phenomena as crystal growth or perform such adaptive-learning tasks as balancing an inverted pole.Howard Gutowitz is Collaborateur in the Service de Physique du Solide et Résonance Magnetique, Commissariat a I'Energie Atomique, Saclay, France.
Automata Networks In Computer Science
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Author : Françoise Fogelman Soulié
language : en
Publisher: Manchester University Press
Release Date : 1987
Automata Networks In Computer Science written by Françoise Fogelman Soulié and has been published by Manchester University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Cellular automata categories.
Pattern Formation And Lattice Gas Automata
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Author :
language : en
Publisher:
Release Date : 1996
Pattern Formation And Lattice Gas Automata written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Conscious automata categories.
This book is the Proceedings of The Fields Institute Conference/NATO Advanced Research Workshop held in June 1993. The articles review the diverse recent progress in the theory and development of lattice-gas and lattice Boltzmann methods and their applications to hydrodynamics, multi-phase flows, flows through porous media, reaction-diffusion systems, pattern formation phenomena, and phase separation processes. Discussed here are various aspects of the statistical analysis of these methods, with emphasis on fluctuations and correlations, as well as computational prospects including development.
Quantum Lattice Gas Automata And Hydrodynamics
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Author :
language : en
Publisher:
Release Date : 2004
Quantum Lattice Gas Automata And Hydrodynamics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
This document is the final report for AFOSR Grant F49620-01-1-0385, "Quantum Lattice-Gas Automata and Hydrodynamics." Under the terms of this grant, the Department of Mathematics at Tufts University provided theoretical and computational support to the Quantum Computation group at the Air Force Research Laboratory at Hanscom AFB. The principal research topics were the development of quantum lattice-gas models for implementation on Type II quantum computers, and classical entropic lattice Boltzmann models. The work was conducted at the level of three months FTE per year for three years. Eight publications and twelve invited presentations have resulted from the work conducted under effort. The principal results of this work are described in this report.