Lattice-Gas Cellular Automata and Lattice Boltzmann Models - Dieter A. Wolf-Gladrow

Lattice-Gas Cellular Automata and Lattice Boltzmann Models

An Introduction
Buch | Softcover
X, 314 Seiten
2000 | 2000
Springer Berlin (Verlag)
978-3-540-66973-9 (ISBN)
69,54 inkl. MwSt
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.

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.

Erscheint lt. Verlag 18.2.2000
Reihe/Serie Lecture Notes in Mathematics
Zusatzinfo X, 314 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 504 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Schlagworte Boltzman equations • Boltzmann-Gleichung • Cellular Automata • gas flows • Model • Numerical analysis • Operator • Point-Mapping properties • Rarefield gas flows • Simulation • Stokes and Naier-Stokes equations • Verband (mathemat.)
ISBN-10 3-540-66973-6 / 3540669736
ISBN-13 978-3-540-66973-9 / 9783540669739
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Wie bewerten Sie den Artikel?
Bitte geben Sie Ihre Bewertung ein:
Bitte geben Sie Daten ein:
Mehr entdecken
aus dem Bereich

von Tilo Arens; Frank Hettlich; Christian Karpfinger …

Buch | Hardcover (2022)
Springer Spektrum (Verlag)
79,99