Title :
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
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;
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
