Jin_Xin relaxation method for solving a traffic flow problem in one dimension

International Conference on Science and Applied Science (Engineering and Educational Science) 2016

物理学;工业技术;教育

Sulistiyawati, Bernadetta Ambar^1 ; Mungkasi, Sudi^1

Department of Mathematics, Faculty of Science and Technology, Sanata Dharma University, Mrican, Tromol Pos 29, Yogyakarta

55002, Indonesia^1

关键词: Finite volume solution;    Numerical solution;    One dimension;    Relaxation methods;    Traffic flow;    Traffic light;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/795/1/012041/pdf
DOI  :  10.1088/1742-6596/795/1/012041

来源: IOP

【 摘 要 】

We test the performance of the Jin-Xin relaxation and Lax-Friedrichs finite volume numerical methods in solving a traffic flow problem. In particular, we focus on traffic flow at a traffic light turning from red to green. Numerical solutions are compared with the analytical solution to the mathematical model. We find that the Jin-Xin relaxation solution is more accurate than the Lax-Friedrichs finite volume solution.