Lattice Gas Cellular Automata and Lattice Boltzmann Models : An Introduction / by Dieter A. Wolf-Gladrow
(Lecture Notes in Mathematics ; 1725)
| データ種別 | 電子ブック |
|---|---|
| 出版情報 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer , 2000 |
| 本文言語 | 英語 |
| 大きさ | X, 314 p : online resource |
書誌詳細を非表示
| 内容注記 | 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 |
|---|---|
| 一般注記 | 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 |
| 著者標目 | *Wolf-Gladrow, Dieter A. author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Mathematical analysis LCSH:Analysis (Mathematics) LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Numerical analysis LCSH:Mathematical logic LCSH:Applied mathematics LCSH:Engineering mathematics FREE:Mathematics FREE:Analysis FREE:Mathematical Logic and Foundations FREE:Global Analysis and Analysis on Manifolds FREE:Numerical Analysis FREE:Appl.Mathematics/Computational Methods of Engineering FREE:Classical Mechanics |
| 分 類 | DC23:515 |
| 巻冊次 | ISBN:9783540465867 
|
| ISBN | 9783540465867 |
| URL | http://dx.doi.org/10.1007/b72010 |
目次／あらすじ