The discontinuous finite element method for red-and-green light models for the traffic flow
Mathematics and Computers in Simulation
Empirical Features of Congested Traffic States and Their Implications for Traffic Modeling
Transportation Science
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Two-equation models for traffic flow are framed within the bond graph theory. Vehicle density and velocity are used as independent variables. Time-dependent nodal values and interpolation functions are introduced to represent the flow field. Nodal vectors of mass and velocity are defined as Bond Graph state variables. It can be shown that the system kinetic energy can be represented as a IC-field. Some numerical experiments are presented for the model of Jiang et al. [9], showing good results.