Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 305, Issue -, Pages 575-588Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2015.11.006
Keywords
Multispecies Boltzmann equation; Asymptotic preserving scheme; DSMC; Multiscale flow
Funding
- National Natural Science Foundation of China [NSFC-91330203, NSFC-91441205]
- China Postdoctoral Science Foundation [2015M571560]
- Center for High Performance Computing of SJTU
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An asymptotic preserving (AP) scheme is efficient in solving multiscale kinetic equations with a wide range of the Knudsen number. In this paper, we generalize the asymptotic preserving Monte Carlo method (AP-DSMC) developed in [25] to the multispecies Boltzmann equation. This method is based on the successive penalty method [26] originated from the BGK-penalization-based AP scheme developed in [7]. For the multispecies Boltzmann equation, the penalizing Maxwellian should use the unified Maxwellian as suggested in [12]. We give the details of AP-DSMC for multispecies Boltzmann equation, show its AP property, and verify through several numerical examples that the scheme can allow time step much larger than the mean free time, thus making it much more efficient for flows with possibly small Knudsen numbers than the classical DSMC. (C) 2015 Elsevier Inc. All rights reserved.
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