05075nam 22009015 450 99646660880331620211206214221.03-540-46586-310.1007/b72010(CKB)1000000000234882(SSID)ssj0000324337(PQKBManifestationID)11912680(PQKBTitleCode)TC0000324337(PQKBWorkID)10313412(PQKB)11516106(DE-He213)978-3-540-46586-7(MiAaPQ)EBC5595819(PPN)155176706(EXLCZ)99100000000023488220121227d2000 u| 0engurnn#008mamaatxtccrLattice-Gas Cellular Automata and Lattice Boltzmann Models[electronic resource] An Introduction /by Dieter A. Wolf-Gladrow1st ed. 2000.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2000.1 online resource (X, 314 p.)Lecture Notes in Mathematics,0075-8434 ;1725Bibliographic Level Mode of Issuance: Monograph3-540-66973-6 Includes bibliographical references (pages [275]-308) and index.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.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.Lecture Notes in Mathematics,0075-8434 ;1725Mathematical analysisAnalysis (Mathematics)Mathematical logicGlobal analysis (Mathematics)Manifolds (Mathematics)Numerical analysisApplied mathematicsEngineering mathematicsMechanicsAnalysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12007Mathematical Logic and Foundationshttps://scigraph.springernature.com/ontologies/product-market-codes/M24005Global Analysis and Analysis on Manifoldshttps://scigraph.springernature.com/ontologies/product-market-codes/M12082Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Mathematical and Computational Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/T11006Classical Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21018Mathematical analysis.Analysis (Mathematics).Mathematical logic.Global analysis (Mathematics).Manifolds (Mathematics).Numerical analysis.Applied mathematics.Engineering mathematics.Mechanics.Analysis.Mathematical Logic and Foundations.Global Analysis and Analysis on Manifolds.Numerical Analysis.Mathematical and Computational Engineering.Classical Mechanics.51065M99msc35C35msc35Q30mscWolf-Gladrow Dieter Aauthttp://id.loc.gov/vocabulary/relators/aut65509MiAaPQMiAaPQMiAaPQBOOK996466608803316Lattice-gas cellular automata and lattice Boltzmann models78808UNISA