Adaptive mesh generation for approximation of traffic flow equations

Document Type: Regular Paper


1 The Center of Excellence on Modelling and Control Systems, Ferdowsi University of Mashhad, Mashhad, Iran

2 Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran


This paper introduces a mesh generating algorithm for solving the traffic flow equation as a conservation law
equation. The idea behind the new method is to use the characteristic curves and moving non-oscillatory finite
volume method. In addition, when characteristic curves intersect, the proposed scheme uses shock speed equation
in order to improve computational efficiency. We also compare the obtained results with the corresponding
solutions computed by the moving mesh method.