Lattice-Gas Cellular Automata and Lattice Boltzmann Models-An Introduction.pdf

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1、DieterA.Wolf-GladrowAlfredWegenerInstituteforPolarandMarineResearch,Postfach120161D-27515BremerhavenGermanye-mail:dwolf@awi-bremerhaven.deVersion1.05Lattice-GasCellularAutomataandLatticeBoltzmannModels-AnIntroductionJune26,2005SpringerBerlinHeidelbergNewYorkHongKongLondonMilanParisTokyoContents1

2、Introduction:::::::::::::::::::::::::::::::::::::::::::::::-11.1Preface................................................01.2Overview...............................................21.3Thebasicideaoflattice-gascellularautomataandlatticeBoltzmannmodels......................................51.3.1TheN

3、avier-Stokesequation.........................51.3.2Thebasicidea....................................71.3.3Top-downversusbottom-up........................91.3.4LGCAversusmoleculardynamics...................92CellularAutomata:::::::::::::::::::::::::::::::::::::::::132.1Whatarecellularautomata?....

4、..........................132.2Ashorthistoryofcellularautomata.......................142.3One-dimensionalcellularautomata........................152.3.1Qualitativecharacterizationofone-dimensionalcellularautomata..................................222.4Two-dimensionalcellularautomata..............

5、..........282.4.1Neighborhoodsin2D..............................282.4.2Fredkin'sgame...................................292.4.3`Life'............................................302.4.4CA:whatelse?Furtherreading.....................342.4.5FromCAtoLGCA................................35VIContents3La

6、ttice-gascellularautomata::::::::::::::::::::::::::::::373.1TheHPPlattice-gascellularautomata.....................373.1.1Modeldescription.................................373.1.2ImplementationoftheHPPmodel:Howtocodelattice-gascellularautomata?......................423.1.3Initialization...........

7、...........................463.1.4Coarsegraining...................................483.2TheFHPlattice-gascellularautomata.....................513.2.1Thelatticeandthecollisionrules....................513.2.2Microdynamicsofthe