Lattice Gas Methods

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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.

Lattice Gas Cellular Automata And Lattice Boltzmann Models

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Author : Dieter A. Wolf-Gladrow
language : ja
Publisher: Springer Science & Business Media
Release Date : 2000-02-18

Lattice Gas Cellular Automata And Lattice Boltzmann Models written by Dieter A. Wolf-Gladrow and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-02-18 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.

Lattice Gas Cellular Automata

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Author : Daniel H. Rothman
language : en
Publisher: Cambridge University Press
Release Date : 1997-08-28

Lattice Gas Cellular Automata written by Daniel H. Rothman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-08-28 with Computers categories.

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

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.

Lattice Boltzmann Method And Its Application In Engineering

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Author : Zhaoli Guo
language : en
Publisher: World Scientific
Release Date : 2013-03-25

Lattice Boltzmann Method And Its Application In Engineering written by Zhaoli Guo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-25 with Technology & Engineering categories.

Lattice Boltzmann method (LBM) is a relatively new simulation technique for the modeling of complex fluid systems and has attracted interest from researchers in computational physics. Unlike the traditional CFD methods, which solve the conservation equations of macroscopic properties (i.e., mass, momentum, and energy) numerically, LBM models the fluid consisting of fictive particles, and such particles perform consecutive propagation and collision processes over a discrete lattice mesh.This book will cover the fundamental and practical application of LBM. The first part of the book consists of three chapters starting form the theory of LBM, basic models, initial and boundary conditions, theoretical analysis, to improved models. The second part of the book consists of six chapters, address applications of LBM in various aspects of computational fluid dynamic engineering, covering areas, such as thermo-hydrodynamics, compressible flows, multicomponent/multiphase flows, microscale flows, flows in porous media, turbulent flows, and suspensions.With these coverage LBM, the book intended to promote its applications, instead of the traditional computational fluid dynamic method.

Lattice Gas Hydrodynamics

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Author : J.-P. Rivet
language : en
Publisher: Cambridge University Press
Release Date : 2001-01-04

Lattice Gas Hydrodynamics written by J.-P. Rivet and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-04 with Computers categories.

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.

The Lattice Boltzmann Method

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Author : Timm Krüger
language : en
Publisher: Springer
Release Date : 2016-11-07

The Lattice Boltzmann Method written by Timm Krüger and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-07 with Science categories.

This book is an introduction to the theory, practice, and implementation of the Lattice Boltzmann (LB) method, a powerful computational fluid dynamics method that is steadily gaining attention due to its simplicity, scalability, extensibility, and simple handling of complex geometries. The book contains chapters on the method's background, fundamental theory, advanced extensions, and implementation. To aid beginners, the most essential paragraphs in each chapter are highlighted, and the introductory chapters on various LB topics are front-loaded with special "in a nutshell" sections that condense the chapter's most important practical results. Together, these sections can be used to quickly get up and running with the method. Exercises are integrated throughout the text, and frequently asked questions about the method are dealt with in a special section at the beginning. In the book itself and through its web page, readers can find example codes showing how the LB method can be implemented efficiently on a variety of hardware platforms, including multi-core processors, clusters, and graphics processing units. Students and scientists learning and using the LB method will appreciate the wealth of clearly presented and structured information in this volume.

Lattice Boltzmann Method

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Author : Abdulmajeed A. Mohamad
language : en
Publisher:
Release Date : 2019

Lattice Boltzmann Method written by Abdulmajeed A. Mohamad and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Fluid mechanics categories.

Introducing the Lattice Boltzmann Method in a readable manner, this book provides detailed examples with complete computer codes. It avoids the most complicated mathematics and physics without scarifying the basic fundamentals of the method.

Methods Of The Physics Of Porous Media

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Author :
language : en
Publisher: Academic Press
Release Date : 1999-07-09

Methods Of The Physics Of Porous Media written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-07-09 with Science categories.

Over the past 25 years, the field of VUV physics has undergone significant developments as new powerful spectroscopic tools, VUV lasers, and optical components have become available. This volume is aimed at experimentalists who are in need of choosing the best type of modern instrumentation in this applied field. In particular, it contains a detailed chapter on laboratory sources. This volume provides an up-to-date description of state-of-the-art equipment and techniques, and a broad reference bibliography. It treats phenomena from the standpoint of an experimental physicist, whereby such topics as imaging techniques (NMR, X-ray, ultrasonic, etc.) computer modeling, eletro-kinetic phenomena, diffusion, non-linear wave propagation surface adsorption/desorption, convective mixing, and fracture are specifically addressed.

Statistical Mechanics Of Lattice Systems

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Author : Sacha Friedli
language : en
Publisher: Cambridge University Press
Release Date : 2017-11-23

Statistical Mechanics Of Lattice Systems written by Sacha Friedli and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-23 with Mathematics categories.

A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.