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Continuum Mechanics and Thermodynamics

, Volume 17, Issue 1, pp 51–60 | Cite as

The cumulant method for the space-homogeneous Boltzmann equation

  • S. Seeger
  • K. H. HoffmannEmail author
Original article

Abstract.

In this work we give a comparison of the exact Bobylev/Krook-Wu solution to the space-homogeneous Boltzmann equation and numerical results obtained by a implementation of the cumulant method for the space-homogeneous case. We find excellent agreement of the numerical solution to the cumulant equations with the exact solution of the space-homogeneous Boltzmann equation as long as the exact, non-linear production terms are used. If a linearized variant of the production terms is used, relaxation rates may be underestimated due to convergence to the solution of the linearized equations.

Keywords:

kinetic theory space-homogeneous Boltzmann equation method of moments Maxwell Gas relaxation to equilibrium 

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2005

Authors and Affiliations

  1. 1.Institut für PhysikTechnische Universität ChemnitzChemnitzGermany

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