Abstract
In this work we propose a novel negative particle method for the general bilinear collision operators in the spatial homogeneous case and apply it to Coulomb collisions. This new method successfully reduces the growth of particle numbers from the numerical time scale to the physical time scale for Coulomb collisions. We also propose a particle resampling method which reduces the particle number to further improve the efficiency. Various numerical simulations are performed to demonstrate the accuracy and efficiency of the method.
Original language | English (US) |
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Pages (from-to) | 711-740 |
Number of pages | 30 |
Journal | Journal of Computational Physics |
Volume | 298 |
DOIs | |
State | Published - Oct 1 2015 |
Keywords
- Boltzmann equation
- Coulomb collisions
- Monte Carlo method
- Negative particle method
- Prediction-correction
ASJC Scopus subject areas
- Numerical Analysis
- Modeling and Simulation
- Physics and Astronomy (miscellaneous)
- General Physics and Astronomy
- Computer Science Applications
- Computational Mathematics
- Applied Mathematics