On a Class of Large Size Planar Discrete Velocity Models for Gas Mixtures

  • H. Cornille
  • C. Cercignani
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 1)


We present results, for binary gas mixtures, for the construction of physically acceptable large size planar Discrete Velocity Models (DVMs) including a particle at rest and momenta different, filling all integer coordinates of the plane. We want, with binary collisions, 5 conservation laws (4 for the restriction along one axis): 1 for the light mass (m = 1) species, 1 for the heavy (M > 1), 2 for the momenta along the x, y axes and 1 for the energy. We start with a preliminary simple physical model and add, with geometrical tools, new momenta. We recall previous results and present a new one with M = 3/2.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • H. Cornille
    • 1
  • C. Cercignani
    • 2
  1. 1.Service de Physique ThéoriqueGif-sur-YvetteFrance
  2. 2.Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly

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