Implicit Update of the Moment Equations for a Multi-Species, Homogeneous BGK Model

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

SIAM Journal on Numerical Analysis Pub Date : 2025-04-22 DOI:10.1137/24m165421x

Evan Habbershaw, Cory D. Hauck, Steven M. Wise

引用次数: 0

Abstract

SIAM Journal on Numerical Analysis, Volume 63, Issue 2, Page 881-907, April 2025.
Abstract. A simple iterative approach for solving a set of implicit kinetic moment equations is proposed. This implicit solve is a key component in the IMEX discretization of the multi-species Bhatnagar–Gross–Krook (M-BGK) model with nontrivial collision frequencies depending on individual species temperatures. We prove that under mild time step restrictions, the iterative method generates a contraction mapping. Numerical simulations are provided to illustrate results of the IMEX scheme using the implicit moment solver.

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多物种齐次BGK模型矩方程的隐式更新

SIAM数值分析杂志，第63卷，第2期，第881-907页，2025年4月。摘要。提出了一种求解隐式运动力矩方程的简单迭代方法。该隐式解是多物种Bhatnagar-Gross-Krook （M-BGK）模型的IMEX离散化的关键组成部分，该模型具有依赖于单个物种温度的非极小碰撞频率。我们证明了在温和的时间步长限制下，迭代方法生成了一个收缩映射。用隐式矩解算器对IMEX方案的结果进行了数值模拟。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

SIAM Journal on Numerical Analysis 数学-应用数学

CiteScore

4.80

自引率

6.90%

发文量

110

审稿时长

4-8 weeks

期刊介绍： SIAM Journal on Numerical Analysis (SINUM) contains research articles on the development and analysis of numerical methods. Topics include the rigorous study of convergence of algorithms, their accuracy, their stability, and their computational complexity. Also included are results in mathematical analysis that contribute to algorithm analysis, and computational results that demonstrate algorithm behavior and applicability.