Numerical Simulation of a Multi-Class LWR Traffic Flow Model

A numerical simulation method for a multi-class LWR model (MCLWR model) with heterogeneous drivers is presented. The MCLWR model can remedy some deficiencies of LWR model including the two-capacity phenomenon, hysteresis and platoon dispersion. Considering the analytical expressions of the eigenvalues are difficult to obtain for more than four-class of road users, we utilize high-resolution central scheme proposed by Nessyahu and Tadmor, which requires little information of the eigenstructure. One can only estimate the upper boundary of the maximum of absolute eigenvalues. To demonstrate the performance of the presented method, we verify on the numerical examples that involve two-, five- and nine-class of road users.