High-order finite volume methods for solving compressible multicomponent flows  

作　　者：Feng Zheng Jianxian Qiu 

机构地区：[1]School of Mathematics and Statistics,Fujian Key Laboratory of Mathematical Analysis and Application,Fujian Normal University,Fuzhou 350117,China [2]School of Mathematical Sciences and Fujian Provincial Key Laboratory of Mathematical Modeling&High-Performance Scientific Computing,Xiamen University,Xiamen 361005,China

出　　处：《Science China Mathematics》2025年第3期729-760,共32页中国科学(数学英文版)

基　　金：supported by National Natural Science Foundation of China (Grant No. 12101128);supported by Natural Science Foundation of Fujian Province (Grant No. 2023J02003);National Natural Science Foundation of China (Grant No. 12071392)。

摘　　要：In this paper, we propose a high-order finite volume method for solving multicomponent fluid problems. Our method couples the quasi-conservative form with the reconstruction of conservative variables in a characteristic manner. The source term and numerical fluxes are carefully designed to maintain the pressure and velocity equilibrium for the interface-only problem and preserve the equilibrium of physical parameters in a single-component fluid. These ingredients enable our scheme to achieve both high-order accuracy in the smooth region and the high resolution in the discontinuity region of the solution. Extensive numerical tests are performed to verify the high resolution and accuracy of the scheme.

关 键 词：finite volume HIGH-ORDER multicomponent flows 

分 类 号：O241.82[理学—计算数学] O35[理学—数学]