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On the order reduction of semi-Lagrangian methods for BGK model of Boltzmann equation
- Authors
- Boscarino, Sebastiano; Cho, Seung Yeon
- Issue Date
- Jan-2022
- Publisher
- Pergamon Press Ltd.
- Keywords
- BGK model; Semi-Lagrangian method; Order reduction; Stiff problem
- Citation
- Applied Mathematics Letters, v.123
- Indexed
- SCIE
SCOPUS
- Journal Title
- Applied Mathematics Letters
- Volume
- 123
- ISSN
- 0893-9659
1873-5452
- Abstract
- In the classical literature high order semi-Lagrangian schemes proposed for solving the BGK model of Boltzmann equation suffer from the phenomenon of order reduction when the Knudsen number becomes zero, i.e. in the fluid regime. In this brief note we provide local estimates with respect to small Knudsen number, which enables us to understand the order reduction phenomenon. (C) 2021 Elsevier Ltd. All rights reserved.
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