一类具有非等熵Dusty气体的两相流模型Riemann解的压力消失极限  

The Vanishing Pressure Limit of Riemann Solutions for a Class of Two-Phase Flow Models with Non-Isentropic Dusty Gases

作　　者：金岱广 何劭弘 吴雨嫣 蒋伟峰 Jin Daiguang;He Shaohong;Wu Yuyan;Jiang Weifeng(Faculty of Science,China Jiliang University,Hangzhou 310018)

机构地区：[1]中国计量大学理学院,杭州310018

出　　处：《数学物理学报(A辑)》2025年第2期371-388,共18页Acta Mathematica Scientia

基　　金：国家自然科学基金(1240012056)。

摘　　要：该文研究一类具有非等熵Dusty气体的两相流模型Riemann解在压力消失时的极限行为.首先,针对该模型的黎曼问题,利用特征分析法得到基本波的表达式并在(p,u,s)坐标系中构造了黎曼熵解.然后,证明了在压力消失时该模型的黎曼解收敛于带相同初值的一维常压力流体模型的黎曼解.最后,对该模型的黎曼解在压力消失过程中δ-激波和真空状态的形成进行数值模拟,验证了上述理论分析的结果.This paper studies the cavitation and concentration phenomena of the Riemann solutions for a reduced two-phase mixtures model with non-isentropic dusty gas state as the pressure vanishes.Firstly,we construct the Riemann entropy solutions by characteristic analysis method in(p,u,s)coordinate system.Secondly,we conclude that,the pressureless limit of Riemann solutions for the reduced two-phase mixtures model is just the Riemann solutions for the reduced 2-dimensional pressureless gas dynamics model.Finally,we present numerical simulations which are consistent with our theoretical analysis.

关 键 词：非等熵 两相流模型 压力消失极限 黎曼解 δ-激波 真空状态 

分 类 号：O175.23[理学—数学]