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Lattice Gas Cellular Automata and Lattice Boltzmann Models An Introduction
Title
Lattice Gas Cellular Automata and Lattice Boltzmann Models [electronic resource] : An Introduction / by Dieter A. Wolf-Gladrow.
ISBN
9783540465867
Publication
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000.
Physical Description
1 online resource (X, 314 p).
Local Notes
Access is available to the Yale community.
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Access restricted by licensing agreement.
Summary
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.
Variant and related titles
Springer ENIN.
Other formats
Printed edition:
Printed edition:
Format
Books / Online
Language
English
Added to Catalog
May 19, 2022
Series
Lecture Notes in Mathematics, 1725
Contents
From the contents: Introduction: Preface; Overview
The basic idea of lattice-gas cellular automata and lattice Boltzmann models. Cellular Automata: What are cellular automata?- A short history of cellular automata
One-dimensional cellular automata
Two-dimensional cellular automata
Lattice-gas cellular automata: The HPP lattice-gas cellular automata
The FHP lattice-gas cellular automata
Lattice tensors and isotropy in the macroscopic limit
Desperately seeking a lattice for simulations in three dimensions
5 FCHC
The pair interaction (PI) lattice-gas cellular automata
Multi-speed and thermal lattice-gas cellular automata
Zanetti (staggered) invariants
Lattice-gas cellular automata: What else? Some statistical mechanics: The Boltzmann equation
Chapman-Enskog: From Boltzmann to Navier-Stokes
The maximum entropy principle. Lattice Boltzmann Models: .... Appendix.
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