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Higher-Order Traffic Flow Model Extended to Road Networks
| 题名： | Higher-Order Traffic Flow Model Extended to Road Networks |
| 正文语种： | eng |
| 作者： | Zhiyang Lin;S. C. Wong;Xiaoning Zhang;Peng Zhang |
| 作者单位： | School of Economics and Management Tongji Univ. Shanghai 200092 China;Dept. of Civil Engineering Univ. of Hong Kong Hong Kong Guangdong-Hong Kong-Macau Joint Laboratory for Smart Cities Shenzhen 518060 China;School of Economics and Management Tongji Univ. Shanghai 200092 China;Shanghai Institute of Applied Mathematics and Mechanics School of Mechanics and Engineering Science Shanghai Univ. Shanghai 200444 China |
| 关键词： | Riemann problem; Conserved higher-order (CHO) model; Road network; Junction; Coupling conditions |
| 摘要： | In this work, a conserved higher-order (CHO) macroscopic traffic flow model is extended to road networks. We first introduce the Riemann problem at a junction for the CHO model and then provide a general framework to solve it, considering the compatibility between the CHO and Lighthill-Whitham-Richards (LWR) models. Through the presented framework, Riemann solvers for the LWR model can be extended to the CHO model. Specifically, a kind of Riemann solver for the LWR model is extended to derive the Riemann solver for the CHO model, in which the total actual flow at the junction is maximized. The Riemann solvers for three typical junctions (one-in-two-out junction, two-in-one-out junction, and two-in-two-out junction) are discussed. The first-order finite-volume method is adopted to solve the extended model. Numerical examples are given to validate the extended model and the numerical algorithm. |
| 出版年： | 2023 |
| 期刊名称： | Journal of Transportation Engineering |
| 卷： | 149 |
| 期： | 4 |
| 页码： | 04023006.1-04023006.12 |
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