Efficient asymptotic preserving deterministic methods for the Boltzmann equation
نویسندگان
چکیده
1 The Boltzmann equation 6 1.1 The model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.2 Physical properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.3 Fluid limit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.4 Boundary conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.5 Other collision operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 1.5.1 BGK models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 1.5.2 Landau models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 1.5.3 Additional models . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 1.6 The splitting approach . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 1.7 Asymptotic preserving methods . . . . . . . . . . . . . . . . . . . . . . . . 16
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