Asymptotic preserving Monte Carlo methods for the Boltzmann equation
作者:
L. Pareschi,
G. Russo,
期刊:
Transport Theory and Statistical Physics
(Taylor Available online 2000)
卷期:
Volume 29,
issue 3-5
页码: 415-430
ISSN:0041-1450
年代: 2000
DOI:10.1080/00411450008205882
出版商: Taylor & Francis Group
关键词: Boltzmann equation;Implicit schemes;Monte Carlo method;Fluid dynamic limit
数据来源: Taylor
摘要:
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 theA-stability andL-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.
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