Continuum Traffic Model Accounting for Driver Behavior and Lateral Viscosity

Second-order macroscopic models comprise an LWR continuity equation and a dynamic velocity equation. From a microscopic point of view, a dynamic velocity equation that takes into account cautious and aggressive driving styles as well as lateral resistance is proposed in this paper. The model’s stability conditions are determined, which offer vital insights into how traffic behaves under diverse circumstances. The model is further solved numerically with graphical illustrations of nonlinear traffic phenomenon. Though the simulation is results single-piped, the sensitivity analysis revealed a speed drop due to an increSecond-order macroscopic models consist of an LWR continuity equation and a dynamic velocity equation. From a microscopic perspective, this paper proposes a dynamic velocity equation that accounts for cautious and aggressive driving styles, as well as lateral resistance. The model’s stability conditions are determined, providing important insights into traffic behavior under various conditions. The model is further solved numerically, with graphical illustrations of nonlinear traffic phenomena. Although the simulation results are based on a single-pipe scenario, the sensitivity analysis reveals a speed drop due to increased lateral resistance. This effect is evident in the shock and rarefaction wave profiles within the speed space-time and density-space-time domains.ased lateral resistance rate. This is evident in shock and rarefaction wave profiles in the speed-space-time and density-space-time domains.