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The Limiting Kinetic Equation of the Consistent Boltzmann Algorithm for Dense Gases
Authors:Alejandro L. Garcia  Wolfgang Wagner
Affiliation:(1) Institute for Scientific Computing Research, Lawrence Livermore National Laboratory, Livermore, California, 94550;(2) Weierstrass Institute for Applied Analysis and Stochastics, Berlin, 10117, Germany
Abstract:This paper establishes a theoretical foundation for the Consistent Boltzmann Algorithm (CBA) by deriving the limiting kinetic equation. The formulation is similar to the proof by one of the authors that the Boltzmann equation is the limiting kinetic equation for Direct Simulation Monte Carlo [W. Wagner, J. Statist. Phys.66:1011 (1992)]. For a simplified model distilled from CBA, the limiting equation is solved numerically, and very good agreement with the predictions of the theory is found.
Keywords:kinetic theory  Enskog equation  direct simulation Monte Carlo  Boltzmann equation  consistent Boltzmann Algorithm  dense gases
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