Flow difference effect in the lattice hydrodynamic model  

作　　者：田钧方 贾斌 李新刚 高自友 

机构地区：[1]MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology,Beijing Jiaotong University

出　　处：《Chinese Physics B》2010年第4期31-36,共6页中国物理B（英文版）

基　　金：Project supported by the National Basic Research Program of China (Grant No. G2006CB705500);the National Natural Science Foundation of China (Grant Nos. 70501004,70701004 and 70631001);Program for New Century Excellent Talents in University(Grant No. NCET-07-0057)

摘　　要：In this paper, a new lattice hydrodynamic model based on Nagatani＇s model INagatani T 1998 Physica A 261 5991 is presented by introducing the flow difference effect. The stability condition for the new model is obtained by using the linear stability theory. The result shows that considering the flow difference effect leads to stabilization of the system compared with the original lattice hydrodynamic model. The jamming transitions among the freely moving phase, the coexisting phase, and the uniform congested phase are studied by nonlinear analysis. The modified KdV equation near the critical point is derived to describe the traffic jam, and kink -antikink soliton solutions related to the traffic density waves are obtained. The simulation results are consistent with the theoretical analysis for the new model.In this paper, a new lattice hydrodynamic model based on Nagatani＇s model INagatani T 1998 Physica A 261 5991 is presented by introducing the flow difference effect. The stability condition for the new model is obtained by using the linear stability theory. The result shows that considering the flow difference effect leads to stabilization of the system compared with the original lattice hydrodynamic model. The jamming transitions among the freely moving phase, the coexisting phase, and the uniform congested phase are studied by nonlinear analysis. The modified KdV equation near the critical point is derived to describe the traffic jam, and kink -antikink soliton solutions related to the traffic density waves are obtained. The simulation results are consistent with the theoretical analysis for the new model.

关 键 词：lattice hydrodynamic model traffic flow flow difference 

分 类 号：O35[理学—流体力学]