A number of Riemann solvers for a conserved higher-order traffic flow model
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.
Godunov flux Engquist-Osher flux Lax-Friedrichs flux stop-and-go wave
Peng Zhang Dian-Liang Qiao Li-Yun Dong Shi-Qiang Dai S.C. Wong
Shanghai Institute of Applied Mathematics and MechanicsShanghai University, Shanghai, P.R. China Department of Civil Engineering The University of Hong Kong, Pokfulam Road, Hong Kong SAR, P.R. Chin
国际会议
昆明、丽江
英文
1049-1053
2011-04-15（万方平台首次上网日期，不代表论文的发表时间）