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Exact periodic solutions for a class of multispeed discrete Boltzmann models

  • H. Cornille
Part V: Theoretical Physics
  • 171 Downloads
Part of the Lecture Notes in Physics book series (LNP, volume 393)

Abstract

Only for multispeed discrete Boltzmann models can we obtain well-defined temperature. Recently different hierarchies of multispeed, multidimensional (d > 1) discrete models have been characterized by their (1 + 1)-dimensional Pde along one axis. Here, for the simplest hierarchy with five independent densities and two speeds which are 1 and either √d or √2 we construct (1+1)-dimensional periodic solutions. The physical corresponding models are the planar square 8νi, d = 2 model and two three-dimensional 14νi, d = 3 models( one of them being the Cabannes model).

Keywords

Periodic Solution Complete Positivity 14vi Model Shock Wave Solution Nonlinear Dispersive Wave 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

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    H. Cornille the results will be presented in Nonlinear Dispersive Waves ed. Debnath.Google Scholar

Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • H. Cornille
    • 1
  1. 1.Spht CE SaclayGif-sur YvetteFrance

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