A hybrid scheme for solving a multi-class traffic flow model with complex wave breaking

被引：25
|
作者：
Zhang, Peng [2 ]
Wong, S. C. [1 ]
Xu, Zhenli [3 ]
机构：
[1] Univ Hong Kong, Dept Civil Engn, Hong Kong, Hong Kong, Peoples R China
[2] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200444, Peoples R China
[3] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2008年 / 197卷 / 45-48期
基金：
中国国家自然科学基金;
关键词：
discontinuous fluxes; delta-mapping algorithm; Riemann problem; WENO reconstruction;
D O I：
10.1016/j.cma.2008.03.003
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper extends the delta-mapping algorithm to solve a multi-class traffic flow model on an inhomogeneous highway, which is characterized by spatially varying fluxes and very complex waves. In the algorithm, the values of solution variables are mapped onto an intermediate state locally around the cell interface, and then the finite difference WENO reconstruction is applied. The hybrid scheme is consistent with steady flows, and resolves the waves more efficiently than the standard WENO scheme. The algorithm is also applicable to hyperbolic conservation laws with spatially varying fluxes in general. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：3816 / 3827
页数：12
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