TITLE:
Clusters in Macroscopic Traffic Flow Models
AUTHORS:
Rosa María Velasco, Patricia Saavedra
KEYWORDS:
Traffic Flow; Solitons
JOURNAL NAME:
World Journal of Mechanics,
Vol.2 No.1,
February
29,
2012
ABSTRACT: This paper concerns the traveling wave formation in macroscopic traffic flow models. The dynamics involved in this problem is described following a close analogy to compressible fluid dynamics. It is well known that vehicle clusters appear along a highway when the homogenous steady state taken as a reference is linearly unstable. The cluster properties are determined in an approximate way in terms of the parameters proper to each model and are compared between them.