黎曼问题
黎曼假设
不连续性分类
冲击波
稀薄(生态学)
数学
黎曼解算器
应用数学
数学分析
Roe求解器
物理
机械
地质学
有限体积法
物种丰富度
古生物学
作者
Alessandra Jannelli,N. Manganaro,Alessandra Rizzo
标识
DOI:10.1016/j.cnsns.2022.107010
摘要
In this paper the celebrated second order Aw-Rascle nonhomogeneous system describing traffic flows is considered. Within the framework of the method of differential constraints, a suitable reduction procedure is developed for solving a class of Riemann problems which are of interest in traffic flows theory. In particular, for a given source term, we find the general solution of the Riemann problem in terms of shock waves, contact discontinuities and generalized rarefaction waves. The interaction between a shock wave and a generalized rarefaction wave is also studied and a related generalized Riemann problem is solved. Numerical results are in agreement with the exact analytical solution.
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