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A Stochastic Weighted Particle Method for the Boltzmann Equation

✍ Scribed by Sergej Rjasanow; Wolfgang Wagner

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 357 KB
Volume: 124
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.1996.0057

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✦ Synopsis

A class of algorithms for the numerical treatment of the Boltzmann equation is introduced. This class generalizes the standard direct where f is the solution of Eq. (1.1), by a system of point simulation Monte Carlo method, which is contained as a particular measures defined by a particle system. The classical particle case. The new algorithms use a more general procedure of modelmethod introduced by G. A. Bird in 1963 (called ''direct ling collisions between particles. This procedure is based on a ransimulation Monte Carlo'' or DSMC method) was derived dom weight transfer from the particles with the precollision velocities to the particles with the postcollision velocities. ᮊ 1996 on the basis of physical intuition (cf. [3,6]). In recent Academic Press, Inc.

years some progress has been achieved in the mathematical foundation of particle methods for the Boltzmann equation. We refer to [1,2,19, 20] concerning convergence 243

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