The wave-front tracking algorithm for Hughes model of pedestrian motion. (English) Zbl 1273.76288
Summary: We code the wave-front tracking algorithm for Hughes’ model of pedestrian motion with generalized running cost. This model displays a nonclassical dynamic at the splitting point between the two directions of motion. The wave-front tracking scheme provides us with reference solutions for testing numerically the convergence of classical finite volume schemes, which do not treat explicitly the dynamics at the turning point.
MSC:
76M12 | Finite volume methods applied to problems in fluid mechanics |
35L65 | Hyperbolic conservation laws |