International Journal of Computing and Optimization>2015>3>93-104
This article deals with traffic ow simulation in a single road via fluid dynamics approach. The Lighthill-Whitham-Richards (LWR) model is used to describe traffic ow in the road which is represented by density and average speed of vehicles. Numerical approximation of the LWR model formulated as scalar conservation laws is obtained by implementing finite volume method. Several test cases are presented to simulate propagation of rarefaction and shock wave which arise in traffic flow phenomena. It has been shown that numerical results in term of density con rm the exact solutions. Numerical simulations of congestion triggered by the existence of trafic light are also discussed. The simulation results show that through adjusting the red and green light period, we can control traffic flow in traffic light location.
Financed by the National Centre for Research and Development under grant No. SP/I/1/77065/10 by the strategic scientific research and experimental development program:
SYNAT - “Interdisciplinary System for Interactive Scientific and Scientific-Technical Information”.