Lattice Gas Cellular Automata and Lattice Boltzmann Models : An Introduction

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...

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Bibliographic Details
Main Author: Wolf-Gladrow, Dieter A.
Format: Livre numérique
Language:Anglais
Published: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Series:Lecture notes in mathematics 1725
Subjects:
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Edition sous un autre format:• Lattice-gas cellular automata and lattice Boltzmann models, an introduction, Dieter A. Wolf-Gladrow, 2000, Berlin, Springer, 1 vol. (IX-308 p.), Lecture notes in mathematics, 3-540-66973-6
• Lattice-Gas Cellular Automata and Lattice Boltzmann Models, Texte imprimé, 9783662187784
Table of 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.