期刊
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
卷 152, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijnonlinmec.2023.104384
关键词
Aw-Rascle traffic flow model; Riemann problem; Wave interactions; Source term; Extended Chaplygin gas
类别
The Riemann problem and wave interactions are investigated for an inhomogeneous Aw-Rascle (AR) traffic flow model with extended Chaplygin gas pressure. The Riemann problem with two piecewise constants as initial data is solved and two different types of Riemann solutions involving rarefaction wave, shock wave, and contact discontinuity are obtained. The interactions of waves are analyzed by studying the Riemann problem with three-piecewise-constant initial data, and the global structures of Riemann solutions are established. The stability of solution under small perturbation of initial data is also briefly discussed.
The Riemann problem and wave interactions are discussed and investigated for an inhomogeneous Aw-Rascle (AR) traffic flow model with extended Chaplygin gas pressure. First, under some variable transformation, the Riemann problem with initial data of two piecewise constants is solved and two different types of Riemann solutions involving rarefaction wave, shock wave and contact discontinuity are obtained. Second, by studying the Riemann problem with three-piecewise-constant initial data, we analyze the interactions of waves and establish the global structures of Riemann solutions. It is shown that, influenced by the source term, the Riemann solutions for the inhomogeneous AR traffic flow model are no longer self-similar, and all the elementary wave curves do not keep straight. Finally, the stability of solution under the small perturbation of initial data is briefly discussed.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据