摘要
提出了一个二维线性化压力梯度方程组,研究其四波黎曼问题.利用广义特征分析法,通过研究基本波的相互作用,获得了该问题的整体解及7种不同的解的结构,并给出其数值模拟.
The linearized two-dimensional pressure-gradient equations are proposed, and the four-wave Riemann problem is studied.With the generalized characteristic analysis method, by studying interactions of elementary waves, the global solutions with seven different kinds of structures are obtained, and the numerical simulations are presented.
作者
杨汉春
程红军
梁洁
YANG Han-chun, CHENG Hong-jun, LIANG Jie(1. School of Mathematics and Statistics, Yunnan University, Kunming 650091, China ; 2.School of Information Science and Engineering, Yunnan University, Kunming 650091, China)
出处
《云南大学学报（自然科学版）》
CAS
CSCD
北大核心
2018年第6期1053-1062,共10页
Journal of Yunnan University(Natural Sciences Edition)
基金
国家自然科学基金(11361073)
云南省科技厅应用基础研究项目(2015FB104)
关键词
线性压力梯度方程
黎曼问题
接触间断
数值模拟
linearized pressure-gradient equations
Riemann problem
contact discontinuity
numerical simulations
