Affiliation:
1. Dipartimento di Matematica e Applicazioni, Università di Milano Bicocca, Milano , Italy
Abstract
Abstract
We consider the Godunov numerical method to the phase-transition trafic model, proposed in [1], by Colombo, Marcellini, and Rascle. Numerical tests are shown to prove the validity of the method. Moreover we highlight the differences between such model and the one proposed in [2], by Blandin, Work, Goatin, Piccoli, and Bayen.
Subject
Applied Mathematics,Industrial and Manufacturing Engineering
Reference17 articles.
1. 1. R. M. Colombo, F. Marcellini, and M. Rascle, A 2-phase trafic model based on a speed bound, SIAM J. Appl. Math., vol. 70, no. 7, pp. 2652-2666, 2010.
2. 2. S. Blandin, D. Work, P. Goatin, B. Piccoli, and A. Bayen, A general phase transition model for vehicular trafic, SIAM J. Appl. Math., vol. 71, no. 1, pp. 107-127, 2011.
3. 3. M. J. Lighthill and G. B. Whitham, On kinematic waves. II. A theory of trafic ow on long crowded roads, Proc. Roy. Soc. London. Ser. A., vol. 229, pp. 317-345, 1955.
4. 4. P. I. Richards, Shock waves on the highway, Operations Res., vol. 4, pp. 42-51, 1956.
5. 5. B. S. Kerner, The physics of trafic: empirical freeway pattern features, engineering applications, and theory. Springer, 2012.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献