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A conservative semi-Lagrangian method for inhomogeneous Boltzmann equation

Authors
Boscarino, SebastianoCho, Seung YeonRusso, Giovanni
Issue Date
Feb-2024
Publisher
Academic Press Inc.
Keywords
Boltzmann equation; Conservative reconstruction; Fast spectral method; High order time discretization; Semi-Lagrangian method
Citation
Journal of Computational Physics, v.498
Indexed
SCOPUS
Journal Title
Journal of Computational Physics
Volume
498
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/68812
DOI
10.1016/j.jcp.2023.112633
ISSN
0021-9991
1090-2716
Abstract
The Boltzmann equation is well-known for its good predictability of behaviors of rarefied gas flows, which may not be resolved enough by continuum models. In this work, we propose a high order conservative semi-Lagrangian method for the inhomogeneous Boltzmann equation of rarefied gas dynamics. We adopt a semi-Lagrangian scheme for the convection term, which enables us to avoid CFL-type restrictions on the time step. Also, we use a fast spectral method for computation of the collision operator. In order to preserve conservative quantities, we combine a high order conservative reconstruction and a weighted optimization technique. Several numerical tests illustrate the accuracy and efficiency of the proposed method. © 2023 Elsevier Inc.
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