The stabilization effect of the density difference in the modified lattice hydrodynamic model of traffic flow

• Published in: Physica A Vol. 391; no. 19; pp. 4476 - 4482
• Main Authors: Tian, Jun-fang, Yuan, Zhen-zhou, Jia, Bin, Li, Ming-hua, Jiang, Guo-jun
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.10.2012
• Subjects: Burgers equation; Computational fluid dynamics; Density; Density difference; Fluid flow; Hydrodynamics; Lattice hydrodynamic model; Lattices; Mathematical models; MKdV equation; Stabilization; Traffic flow; Lattice hydrodynamic model; Traffic flow; MKdV equation; Burgers equation; Density difference

A modified lattice hydrodynamic model of traffic flow is proposed by introducing the density difference between the leading and the following lattice. The stability condition of the modified model is obtained through the linear stability analysis. The results show that considering the density differ...