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 weighted particle methods for population balance equations
โ Scribed by Robert I.A. Patterson; Wolfgang Wagner; Markus Kraft
- Book ID
- 113695155
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 434 KB
- Volume
- 230
- Category
- Article
- ISSN
- 0021-9991
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๐ SIMILAR VOLUMES
particle density. This problem can hardly be solved efficiently by direct simulation methods in such cases, where A stochastic weighted particle method is applied to a model nonlinear kinetic equation. A detailed study of various numerical ap-the changes of the particle density are of several orders
Different ideas for reducing the number of particles in the stochastic weighted particle method for the Boltzmann equation are described and discussed. The corresponding error bounds are obtained and numerical tests for the spatially homogeneous Boltzmann equation presented. It is shown that if an a