Numerical algorithms for simulations of a traffic model on road networks

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摘要

We introduce a simulation algorithm based on a fluid-dynamic model for traffic flows on road networks, which are considered as graphs composed by arcs that meet at some junctions. The approximation of scalar conservation laws along arcs is made by three velocities Kinetic schemes with suitable boundary conditions at junctions. Here we describe the algorithm and we give an example.

论文关键词:65M06,90B20,90B10,35L65,34B45,Scalar conservation laws,Traffic flow,Fluid-dynamic models,Finite difference schemes,Boundary conditions

论文评审过程:Received 20 July 2005, Revised 30 January 2006, Available online 29 November 2006.

论文官网地址:https://doi.org/10.1016/j.cam.2006.10.057