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Lattice-Gas Cellular Automata and Lattice Boltzmann Models

2004-10-19 Mathematics
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Release : 2004-10-19
Genre : Mathematics
Kind : eBook
Book Rating : 863/5 ( reviews)

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

Download or read book Lattice-Gas Cellular Automata and Lattice Boltzmann Models written by Dieter A. Wolf-Gladrow. This book was released on 2004-10-19. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Pattern Formation and Lattice gas Automata

1996 Computers
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Release : 1996
Genre : Computers
Kind : eBook
Book Rating : 585/5 ( reviews)

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Book Synopsis Pattern Formation and Lattice gas Automata by : Anna T. Lawniczak

Download or read book Pattern Formation and Lattice gas Automata written by Anna T. Lawniczak. This book was released on 1996. 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.

Lattice-Gas Cellular Automata

1997-08-28 Computers
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Release : 1997-08-28
Genre : Computers
Kind : eBook
Book Rating : 01X/5 ( reviews)

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

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

Lattice Gas Methods

1991 Mathematics
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Release : 1991
Genre : Mathematics
Kind : eBook
Book Rating : 636/5 ( reviews)

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Book Synopsis Lattice Gas Methods by : Gary D. Doolen

Download or read book Lattice Gas Methods written by Gary D. Doolen. This book was released on 1991. 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.

Lattice Boltzmann Modeling

2007-04-05 Science
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Release : 2007-04-05
Genre : Science
Kind : eBook
Book Rating : 822/5 ( reviews)

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Book Synopsis Lattice Boltzmann Modeling by : Michael C. Sukop

Download or read book Lattice Boltzmann Modeling written by Michael C. Sukop. This book was released on 2007-04-05. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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