Abstract
We consider some recently developed unconditionally stable numerical schemes for the Boltzmann equation, called Time Relaxed (TR) schemes. They share the important property of providing the correct fluid dynamic limit. Stability analysis of the schemes is performed, and the A-stability and L-stability of the schemes is studied. Monte Carlo methods based on TR discretizations are briefly reviewed. In particular, first and second order particle schemes are compared with a hybrid scheme, in which the equilibrium part of the distribution is described analytically.
| Original language | English |
|---|---|
| Pages (from-to) | 415-430 |
| Number of pages | 16 |
| Journal | Transport Theory and Statistical Physics |
| Volume | 29 |
| Issue number | 3-5 |
| DOIs | |
| Publication status | Published - 2000 |
Keywords
- Boltzmann equation
- Fluid dynamic limit
- Implicit schemes
- Monte Carlo method
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Transportation
- General Physics and Astronomy
- Applied Mathematics