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. Th
Stochastic particle methods and approximation of the Boltzmann equation
โ Scribed by Wolfgang Wagner
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 274 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0378-4754
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โฆ Synopsis
Stochastic particle methods for the numerical treatment of the Boltzmann equation for dilute monatomic gases are considered. One particular stochastic model of particles with weights is introduced. Recent convergence results for this model are discussed. The introduction of certain degrees of freedom seems to be helpful for the reduction of the random fluctuations of the particle scheme.
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