Lattice-Gas Cellular Automata and Lattice Boltzmann Models

Lattice-Gas Cellular Automata and Lattice Boltzmann Models
Author :
Publisher : Springer
Total Pages : 320
Release :
ISBN-10 : 9783540465867
ISBN-13 : 3540465863
Rating : 4/5 (67 Downloads)

Synopsis Lattice-Gas Cellular Automata and Lattice Boltzmann Models by : Dieter A. Wolf-Gladrow

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.

Lattice-Gas Cellular Automata

Lattice-Gas Cellular Automata
Author :
Publisher : Cambridge University Press
Total Pages : 323
Release :
ISBN-10 : 9780521552011
ISBN-13 : 052155201X
Rating : 4/5 (11 Downloads)

Synopsis Lattice-Gas Cellular Automata by : Daniel H. Rothman

A self-contained, comprehensive introduction to the theory of hydrodynamic lattice gases.

Designing Beauty: The Art of Cellular Automata

Designing Beauty: The Art of Cellular Automata
Author :
Publisher : Springer
Total Pages : 188
Release :
ISBN-10 : 9783319272702
ISBN-13 : 3319272705
Rating : 4/5 (02 Downloads)

Synopsis Designing Beauty: The Art of Cellular Automata by : Andrew Adamatzky

This fascinating, colourful book offers in-depth insights and first-hand working experiences in the production of art works, using simple computational models with rich morphological behaviour, at the edge of mathematics, computer science, physics and biology. It organically combines ground breaking scientific discoveries in the theory of computation and complex systems with artistic representations of the research results. In this appealing book mathematicians, computer scientists, physicists, and engineers brought together marvelous and esoteric patterns generated by cellular automata, which are arrays of simple machines with complex behavior. Configurations produced by cellular automata uncover mechanics of dynamic patterns formation, their propagation and interaction in natural systems: heart pacemaker, bacterial membrane proteins, chemical rectors, water permeation in soil, compressed gas, cell division, population dynamics, reaction-diffusion media and self-organisation. The book inspires artists to take on cellular automata as a tool of creativity and it persuades scientists to convert their research results into the works of art. The book is lavishly illustrated with visually attractive examples, presented in a lively and easily accessible manner.

Cellular Automata

Cellular Automata
Author :
Publisher : MIT Press
Total Pages : 510
Release :
ISBN-10 : 0262570866
ISBN-13 : 9780262570862
Rating : 4/5 (66 Downloads)

Synopsis Cellular Automata by : Howard Gutowitz

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 RĂ©sonance Magnetique, Commissariat a I'Energie Atomique, Saclay, France.

Lattice Gas Methods

Lattice Gas Methods
Author :
Publisher : MIT Press
Total Pages : 356
Release :
ISBN-10 : 0262540630
ISBN-13 : 9780262540636
Rating : 4/5 (30 Downloads)

Synopsis Lattice Gas Methods by : Gary D. Doolen

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 Modeling of Physical Systems

Cellular Automata Modeling of Physical Systems
Author :
Publisher : Cambridge University Press
Total Pages : 357
Release :
ISBN-10 : 9780521461689
ISBN-13 : 0521461685
Rating : 4/5 (89 Downloads)

Synopsis Cellular Automata Modeling of Physical Systems by : Bastien Chopard

Self-contained, pedagogic introduction to powerful techniques for graduate students and researchers in physics and computer science.

The Lattice Boltzmann Equation

The Lattice Boltzmann Equation
Author :
Publisher : Oxford University Press
Total Pages : 308
Release :
ISBN-10 : 0198503989
ISBN-13 : 9780198503989
Rating : 4/5 (89 Downloads)

Synopsis The Lattice Boltzmann Equation by : S. Succi

Certain forms of the Boltzmann equation, have emerged, which relinquish most mathematical complexities of the true Boltzmann equation. This text provides a detailed survey of Lattice Boltzmann equation theory and its major applications.

Cellular Automata and Modeling of Complex Physical Systems

Cellular Automata and Modeling of Complex Physical Systems
Author :
Publisher : Springer
Total Pages : 319
Release :
ISBN-10 : 3642752616
ISBN-13 : 9783642752612
Rating : 4/5 (16 Downloads)

Synopsis Cellular Automata and Modeling of Complex Physical Systems by : Paul Manneville

Cellular automata are fully discrete dynamical systems with dynamical variables defined at the nodes of a lattice and taking values in a finite set. Application of a local transition rule at each lattice site generates the dynamics. The interpretation of systems with a large number of degrees of freedom in terms of lattice gases has received considerable attention recently due to the many applications of this approach, e.g. for simulating fluid flows under nearly realistic conditions, for modeling complex microscopic natural phenomena such as diffusion-reaction or catalysis, and for analysis of pattern-forming systems. The discussion in this book covers aspects of cellular automata theory related to general problems of information theory and statistical physics, lattice gas theory, direct applications, problems arising in the modeling of microscopic physical processes, complex macroscopic behavior (mostly in connection with turbulence), and the design of special-purpose computers.

Lattice Gas Methods For Partial Differential Equations

Lattice Gas Methods For Partial Differential Equations
Author :
Publisher : CRC Press
Total Pages : 584
Release :
ISBN-10 : 9780429717505
ISBN-13 : 0429717504
Rating : 4/5 (05 Downloads)

Synopsis Lattice Gas Methods For Partial Differential Equations by : Gary Doolen

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.

Lattice Boltzmann Modeling

Lattice Boltzmann Modeling
Author :
Publisher : Springer Science & Business Media
Total Pages : 178
Release :
ISBN-10 : 9783540279822
ISBN-13 : 3540279822
Rating : 4/5 (22 Downloads)

Synopsis Lattice Boltzmann Modeling by : Michael C. Sukop

Here is a basic introduction to Lattice Boltzmann models that emphasizes intuition and simplistic conceptualization of processes, while avoiding the complex mathematics that underlies LB models. The model is viewed from a particle perspective where collisions, streaming, and particle-particle/particle-surface interactions constitute the entire conceptual framework. Beginners and those whose interest is in model application over detailed mathematics will find this a powerful 'quick start' guide. Example simulations, exercises, and computer codes are included.