物理
黎曼问题
范德华方程
欧拉方程
冲击波
黎曼解算器
休克(循环)
等温过程
范德瓦尔斯力
焊剂(冶金)
状态方程
稀薄(生态学)
黎曼假设
经典力学
数学物理
热力学
量子力学
数学分析
生态学
内科学
物种多样性
材料科学
冶金
医学
有限体积法
数学
分子
生物
作者
Lhinghoineng Kipgen,Randheer Singh
出处
期刊:Physics of Fluids
[American Institute of Physics]
日期:2022-12-30
卷期号:35 (1)
被引量:10
摘要
In this paper, we analyze the Riemann problem for concentration and cavitation phenomena to the isothermal Euler equations for van der Waals gas with dust particles in the presence of flux approximation. By the Riemann problem, we mean that it is an initial value problem for the system of conservation laws supplemented by constant discontinuous initial data involving one breaking. The existence of δ−shock and vacuum state in the Riemann problem for the system under consideration is examined. Further, it is shown that as the flux approximation and pressure vanish, the Riemann solution containing two shock waves to the isothermal Euler equation for van der Waals gas with dust particles converges to δ−shock solution and the Riemann solution containing two rarefaction waves tends to the vacuum state solution of the transport equations. Numerical simulations presenting the formation of δ−shocks and vacuum states for different flux approximations are also shown.
科研通智能强力驱动
Strongly Powered by AbleSci AI