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

Author

Zhang, Peng ; Qiao, Dian-Liang ; Dong, Li-yun ; Dai, Shi-qiang ; Wong, S.C.

Author_Institution

Shanghai Inst. of Appl. Math. & Mech., Shanghai Univ., Shanghai, China

fYear

2011

fDate

15-19 April 2011

Firstpage

1049

Lastpage

1053

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.

Keywords

traffic; LWR model; approximate Riemann solver; conserved higher-order traffic flow model; first-order accurate scheme; mathematical property; stop-and-go wave; Computational modeling; Electric shock; Equations; Mathematical model; Numerical models; Numerical stability; Roads; Engquist-Osher flux; Godunov flux; Lax-Friedrichs flux; stop-and-go wave;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Sciences and Optimization (CSO), 2011 Fourth International Joint Conference on

Conference_Location

Yunnan

Print_ISBN

978-1-4244-9712-6

Electronic_ISBN

978-0-7695-4335-2

Type

conf

DOI

10.1109/CSO.2011.3

Filename

5957836