期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 498, 期 -, 页码 -出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2023.112633
关键词
Boltzmann equation; Semi-Lagrangian method; Fast spectral method; Conservative reconstruction; High order time discretization
This work proposes a high order conservative semi-Lagrangian method for the inhomogeneous Boltzmann equation of rarefied gas dynamics. The method combines a semi-Lagrangian scheme for the convection term, a fast spectral method for computation of the collision operator, and a high order conservative reconstruction and a weighted optimization technique to preserve conservative quantities. Numerical tests demonstrate the accuracy and efficiency of the proposed method.
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.
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