Kinetic boundary layers for the Boltzmann equation on discrete velocity lattices

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Authors

  • H. Babovsky Institute for Mathematics, Technical University of Ilmenau, Germany
  • T. Płatkowski Faculty of Mathematics Informatics and Mechanics, University of Warsaw, Poland

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.

Keywords:

kinetic boundary layers, discrete velocity models, linearized Boltzmann equation, slip coeffcients