Abstract
Lattice gases are first defined as a new way to perform molecular dynamics calculations in a simplified manner but at large speeds thus allowing to consider enough particles to simulate real flows. Some results of the statistical analysis of lattice gases are summarized showing that their macroscopic behaviour follows closely that of real fluid flows at low Mach numbers. An example of a two-dimensional flow simulation using a simple lattice gas model is given. Finally new results are presented concerning one-dimensional shocks studied by numerical simulations for two-dimensional lattice gases, showing good agreement with theoretical analysis.
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d'Humières, D., Lallemand, P., Qian, Y.H. (1989). Review of flow simulations using lattice gases. In: Carasso, C., Charrier, P., Hanouzet, B., Joly, JL. (eds) Nonlinear Hyperbolic Problems. Lecture Notes in Mathematics, vol 1402. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083868
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DOI: https://doi.org/10.1007/BFb0083868
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