Entropy and Galilean invariance of lattice Boltzmann theories.

نویسندگان

  • Shyam S Chikatamarla
  • Iliya V Karlin
چکیده

A theory of lattice Boltzmann (LB) models for hydrodynamic simulation is developed upon a novel relation between entropy construction and roots of Hermite polynomials. A systematic procedure is described for constructing numerically stable and complete Galilean invariant LB models. The stability of the new LB models is illustrated with a shock tube simulation.

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عنوان ژورنال:
  • Physical review letters

دوره 97 19  شماره 

صفحات  -

تاریخ انتشار 2006