rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Lattice-Gas Cellular Automata and Lattice Boltzmann Models
    sub title: An Introduction
  name:
    name part: Wolf-Gladrow, Dieter A.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2000
    edition: 1st ed. 2000.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 314 p. online resource.
  abstract: 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.
  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.
  note: by Dieter A. Wolf-Gladrow.
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Mathematical logic
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Manifolds (Mathematics)
  subject:
    topic: Numerical analysis
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Mechanics
  subject:
    topic: Analysis
  subject:
    topic: Mathematical Logic and Foundations
  subject:
    topic: Global Analysis and Analysis on Manifolds
  subject:
    topic: Numerical Analysis
  subject:
    topic: Mathematical and Computational Engineering
  subject:
    topic: Classical Mechanics
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Mathematics, 1725
  identifier: 9783540465867
  identifier: https://doi.org/10.1007/b72010
  record info:
    record creation date: 121227
    record change date: 20191022172028.0
    record identifier: 978-3-540-46586-7