四川大学学报（自然科学版）2025，Vol.62Issue(3)：603-609,7.DOI:10.19907/j.0490-6756.240070
基于轮廓积分的Boltzmann-BGK方程广义特征值问题的数值解法
Contour integral numerical method for the generalized eigenvalue problem of Boltzmann-BGK equation
摘要
Abstract
In this paper,a numerical method based on the contour integral is proposed for the generalized ei-genvalue problem(GEP)of Boltzmann-BGK equation in linear stability analysis.In this method,a typical GEP is firstly constructed by discretizing the linearized Boltzmann-BGK equation.Then,by taking the advan-tage of special matrix function form,the GEP is solved by using the contour integral approach.Numerical ex-amples are utilized to show the accuracy and computational efficiency of the method.It is expected that this method may play a key role in the analysis of linear stability of Boltzmann-BGK equation.关键词
Boltzmann-BGK方程/广义特征值问题/轮廓积分Key words
Boltzmann-BGK equation/General eigenvalue problem/Contour integral分类
数理科学引用本文复制引用
姚睿男,毕林,徐友才,马强..基于轮廓积分的Boltzmann-BGK方程广义特征值问题的数值解法[J].四川大学学报（自然科学版）,2025,62(3):603-609,7.基金项目
国家自然科学基金(11801387) （11801387）
四川省自然科学基金(2022NSFSCO322) （2022NSFSCO322）
国家重点研发项目(2019YFA040520X) （2019YFA040520X）
