A Number of Riemann Solvers for a Conserved Higher-Order Traffic Flow Model

Abstract

This paper develops a number of Riemann solvers for a conserved higher-order traffic flow model, which are derived firstly by expressing its exact Riemann solver through that of the LWR model, and then by replacing the exact Riemann solver of the LWR model with the corresponding approximate Riemann solvers in the expression. Being applied to design a first-order accurate scheme, each of these fluxes is able to reproduce typical physical phenomena by similarly indicating a regular stop-and-go wave, and reflect the mathematical properties of the model by generating a physically bounded solution as is analytically described.

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Cite this paper

@article{Zhang2011ANO, title={A Number of Riemann Solvers for a Conserved Higher-Order Traffic Flow Model}, author={Peng Zhang and Dian-Liang Qiao and Li-Yun Dong and Shi-Qiang Dai and S. C. Wong}, journal={2011 Fourth International Joint Conference on Computational Sciences and Optimization}, year={2011}, pages={1049-1053} }