WIAS Preprint No. 399, (1998)

A temperature time counter scheme for the Boltzmann equation


  • Rjasanow, Sergej
  • Wagner, Wolfgang

2010 Mathematics Subject Classification

  • 65C05 76P05 82C80


  • Boltzmann equation, stochastic particle method, time counter, local temperature, numerical experiments




This paper gives a rigorous derivation of a new stochastic particle method for the Boltzmann equation and illustrates its numerical efficiency. Using estimates based on the local temperature of the simulation cells, any truncation error related to large velocities is avoided. Moreover, time steps between collisions are larger than in the standard direct simulation method. This fact and an efficient modelling procedure for the index distribution of the collision partners lead to a considerable reduction of computational effort in certain applications.

Appeared in

  • SIAM J. Numer. Anal.., 37(2000), pp. 1800-1819

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