Journal
NETWORKS AND HETEROGENEOUS MEDIA
Volume 11, Issue 1, Pages 107-121Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/nhm.2016.11.107
Keywords
Scalar conservation laws; non-local flux; macroscopic traffic flow models; finite volume schemes
Categories
Ask authors/readers for more resources
We consider an extension of the traffic flow model proposed by Lighthill, Whitham and Richards, in which the mean velocity depends on a weighted mean of the downstream traffic density. We prove well-posedness and a regularity result for entropy weak solutions of the corresponding Cauchy problem, and use a finite volume central scheme to compute approximate solutions. We perform numerical tests to illustrate the theoretical results and to investigate the limit as the convolution kernel tends to a Dirac delta function.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available