论文信息 - The discontinuous finite element method for red-and-green light models for the traffic flow

The discontinuous finite element method for red-and-green light models for the traffic flow

In this paper, the weak form of the mathematical model of the traffic flow is adopted. Theoretical analyses of the discontinuous solutions of the red-and-green light models are discussed. The discontinuous Galerkin finite element method is used to numerically simulate the problems. The numerical results indicate that the numerical simulations are satisfying and the mathematical models are reasonable. The discontinuous Galerkin method is efficient.

Hong Li | Ru-Xun Liu | Zhi-Feng Wang

[1] M J Lighthill,et al. On kinematic waves II. A theory of traffic flow on long crowded roads , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[2] Chi-Wang Shu,et al. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems , 1989 .

[3] W F Adams,et al. ROAD TRAFFIC CONSIDERED AS A RANDOM SERIES. (INCLUDES PLATES). , 1936 .

[4] H. M. Zhang. A theory of nonequilibrium traffic flow , 1998 .

[5] B. Greenshields,et al. TRAFFIC PERFORMANCE AT URBAN STREET INTERSECTIONS , 1949 .

[6] W. F. Adams. Road Traffic Considered as a Random Series , 1950 .

[7] Louis A. Pipes. Vehicle accelerations in the hydrodynamic theory of traffic flow , 1969 .

[8] Centro internazionale matematico estivo. Session,et al. Advanced Numerical Approximation of Nonlinear Hyperbolic Equations , 1998 .

[9] Chi-Wang Shu,et al. The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems , 1998 .

[10] Harold J Payne,et al. MODELS OF FREEWAY TRAFFIC AND CONTROL. , 1971 .

[11] L. A. Pipes. An Operational Analysis of Traffic Dynamics , 1953 .