Numerical Simulation of Payne-Weber Compressible Fluid Traffic Flow Model

Using numerical simulation of the Payne-Weber compressible fluid traffic flow model allows observation of numerous traffic phenomena, such as vehicle flow density, velocity patterns, and road segment congestion states. The model implementation typically involves solving partial differential equations through finite difference methods, where key parameters like density (ρ) and velocity (v) are updated iteratively using conservation laws. Through this model, we can investigate how different road conditions and traffic volumes impact the transportation system, and explore methods to optimize traffic flow for improved road efficiency. Notably, this model holds significant application value in urban planning and traffic management domains, helping decision-makers develop more scientific and rational transportation strategies. The simulation code would typically include functions for initial condition setup, boundary condition handling, and visualization modules for real-time traffic parameter monitoring.