On the order reduction of semi-Lagrangian methods for BGK model of Boltzmann equation

被引：3
|
作者：
Boscarino, Sebastiano [1 ]
Cho, Seung Yeon [2 ]
机构：
[1] Univ Catania, Dept Math & Comp Sci, I-95125 Catania, Italy
[2] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea
来源：
APPLIED MATHEMATICS LETTERS | 2022年 / 123卷
关键词：
BGK model; Semi-Lagrangian method; Order reduction; Stiff problem; SCHEME;
D O I：
10.1016/j.aml.2021.107488
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页数：9
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