A lattice hydrodynamical model considering turning capability

doi:10.1088/1674-1056/21/7/070505

Abstract A new two-dimensional lattice hydrodynamic model considering the turning capability of cars is proposed. Based on this model, the stability condition for this new model is obtained by using linear stability analysis. Near the critical point, the modified KdV equation is deduced by using the nonlinear theory. The results of numerical simulation indicate that the critical point a_c increases with the increase of the fraction p of northbound cars which continue to move along the positive y direction for c=0.3, but decreases with the increase of p for c=0.7. The results also indicate that the cars moving along only one direction (eastbound or northbound) are most stable.

Keywords: modified KdV equation traffic flow lattice hydrodynamic model

Received: 20 November 2011
Revised: 13 February 2012
Accepted manuscript online:

PACS:	05.50.+q	(Lattice theory and statistics)
	02.60.Cb	(Numerical simulation; solution of equations)
	84.40.Xb	(Telemetry: remote control, remote sensing; radar)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10865001, 11047003, 11172164, and 11162019) and the Youth Foundation of the Yulin Normal University of China (Grant No. 2011YJQN01).

Corresponding Authors: Xue Yu
E-mail: yuxuegxu@gxu.edu.cn

Cite this article:

Tian Huan-Huan(田欢欢) and Xue Yu(薛郁) A lattice hydrodynamical model considering turning capability 2012 Chin. Phys. B 21 070505

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A lattice hydrodynamical model considering turning capability

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