WIAS Preprint No. 562, (2000)

A new kinetic equation for dense gases


  • Garcia, Alejandro L.
  • Wagner, Wolfgang

2010 Mathematics Subject Classification

  • 65C05 76P05 82C40


  • Kinetic theory, Enskog equation, direct simulation Monte Carlo, Boltzmann equation, consistent Boltzmann algorithm, dense gases




This paper establishes a theoretical foundation for the Consistent Boltzmann Algorithm by deriving the limiting kinetic equation. Besides its relation to the algorithm, this new equation serves as a useful alternative to the Enskog equation in the kinetic theory of dense gases. For a simplified model, the limiting equation is solved numerically, and very good agreement with the predictions of the theory is found.

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