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Kinetic boundary layers for the Boltzmann equation on discrete velocity lattices
Arch. Mech. 60 (1), 87-116, 2008
Keywords: kinetic boundary layers; discrete velocity models; linearized Boltzmann equation; slip coeffcients
Abstract
We consider families of discrete velocity models with physical collision invariants, and develop algebraic criteria for well-posedness of the linearized kinetic boundary layer problem. Using the obtained criteria we discuss various hierarchies of symmetric discrete velocity models, and calculate analytical and numerical slip coefficients for the representants of the hierarchies.