Lattice Gas Methods

Lattice Gas Methods
Author: Gary D. Doolen
Publisher: MIT Press
Total Pages: 356
Release: 1991
Genre: Mathematics
ISBN: 9780262540636

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

Lattice-Gas Cellular Automata and Lattice Boltzmann Models
Author: Dieter A. Wolf-Gladrow
Publisher: Springer
Total Pages: 320
Release: 2004-10-19
Genre: Mathematics
ISBN: 3540465863

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 Methods For Partial Differential Equations

Lattice Gas Methods For Partial Differential Equations
Author: Gary Doolen
Publisher: CRC Press
Total Pages: 584
Release: 2019-03-01
Genre: Mathematics
ISBN: 0429717504

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 Gas Methods For Partial Differential Equations

Lattice Gas Methods For Partial Differential Equations
Author: Gary Doolen
Publisher: CRC Press
Total Pages: 583
Release: 2019-03-01
Genre: Mathematics
ISBN: 042969749X

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 Methods for Shallow Water Flows

Lattice Boltzmann Methods for Shallow Water Flows
Author: Jian Guo Zhou
Publisher: Springer Science & Business Media
Total Pages: 136
Release: 2004-01-12
Genre: Science
ISBN: 9783540407461

This book describes a modern numerical technique, a lattice Boltzmann method, for shallow water flows with or without flow turbulence. This method requires only a simple microscopic equation to determine the depth and velocity based on its recovered macroscopic properties. The method is accurate and efficient for simulating complicated flows and flows within complex geometries, so it is becoming a powerful design tool in fluids engineering. The book may be used as a reference for scientists and engineers, a practical guide to the method for consultant organisations, and a textbook for graduates in engineering sciences such as coastal, civil and environmental engineering.

The Lattice Boltzmann Method

The Lattice Boltzmann Method
Author: Timm Krüger
Publisher: Springer
Total Pages: 705
Release: 2016-11-07
Genre: Science
ISBN: 3319446495

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 And Its Application In Engineering

Lattice Boltzmann Method And Its Application In Engineering
Author: Zhaoli Guo
Publisher: World Scientific
Total Pages: 419
Release: 2013-03-25
Genre: Technology & Engineering
ISBN: 9814508314

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 Cellular Automata

Lattice-Gas Cellular Automata
Author: Daniel H. Rothman
Publisher: Cambridge University Press
Total Pages: 323
Release: 1997-08-28
Genre: Computers
ISBN: 052155201X

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

Lattice Boltzmann Modeling

Lattice Boltzmann Modeling
Author: Michael C. Sukop
Publisher: Springer Science & Business Media
Total Pages: 178
Release: 2007-04-05
Genre: Science
ISBN: 3540279822

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.

Lattice Boltzmann Method

Lattice Boltzmann Method
Author: Abdulmajeed A. Mohamad
Publisher:
Total Pages: 228
Release: 2019
Genre: Fluid mechanics
ISBN: 9781447174240

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.