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
Numerical Study of a Stochastic Weighted Particle Method for a Model Kinetic Equation
β Scribed by Sergej Rjasanow; Wolfgang Wagner
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 351 KB
- Volume
- 128
- Category
- Article
- ISSN
- 0021-9991
No coin nor oath required. For personal study only.
β¦ Synopsis
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 of proximations is presented. The main effect achieved by the new magnitude. We refer to [1; 3, Chap. 10; 6; 7] concerning method is an artificial increase of the relative number of simulation particle schemes for the Boltzmann equation.
particles with prescribed velocities.
π SIMILAR VOLUMES
Numerical solutions based on the method of kinetic flux-vector splitting (KFVS) for the Navier-Stokes equations are compared with results from the direct simulation Monte Carlo method (DSMC) for three problems: an impulsively started piston, which emphasizes heat flux; an impulsively started flat pl
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
dq N dp N Ο const, (3a) A numerical method for the time evolution of systems described by Liouville-type equations is derived. The algorithm uses a lattice of numerical markers, which follow exactly Hamiltonian trajectories, to represent the operator d/dt in moving (i.e., Lagrangian) coordinates. H