Riemann problems for the nonhomogeneous Aw-Rascle model

被引：7

作者：

Jannelli, Alessandra ^{[1
]}

Manganaro, Natale ^{[1
]}

Rizzo, Alessandra ^{[1
]}

机构：

[1] Univ Messina, Dept Math & Comp Sci, Phys Sci & Earth Sci, Viale F Stagno DAlcontres 31, I-98166 Messina, Italy

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2023年 / 118卷

关键词：

Riemann problems; Traffic flow models; Exact solutions; Differential constraints; Finite difference numerical method; TRAFFIC FLOW MODEL; SYSTEMS; WAVES;

D O I：

10.1016/j.cnsns.2022.107010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 con-straints, 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. (c) 2022 Elsevier B.V. All rights reserved.

引用

页数：13

共 44 条

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