考虑次近邻作用的行人交通格子流体力学模型  

Lattice hydrodynamic model for pedestrian traffic with the next-nearest-neighbor pedestrian

作　　者：温坚[1,2] 田欢欢[1,2] 薛郁[2] 

机构地区：[1]玉林师范学院物理与信息科学系,玉林537000 [2]广西大学物理科学与工程技术学院,南宁530004

出　　处：《物理学报》2010年第6期3817-3823,共7页Acta Physica Sinica

基　　金：国家重点基础研究发展计划(批准号:2006CB705500);国家自然科学基金(批准号:10662002,10865001,10532060)资助的课题~~

摘　　要：在二维双向行人交通格子流体力学模型的基础上,提出了考虑次近邻行人相互作用进行行人流优化的行人交通格子流体力学模型.通过线性稳定性分析给出新模型的稳定性条件.通过非线性分析得到描述交通堵塞密度波的改进的Korteweg-de Vries方程,并进行了数值模拟.Based on the lattice hydrodynamic model with bidirectional pedestrian flow,the lattice hydrodynamic model which considered the interaction of the next-nearest-neighbor pedestrians was proposed in this paper. By the linear stability analysis,the stability condition was obtained. By nonlinear analysis,the modified Korteweg-de Vries equation to describe the density wave of pedestrian congestion was given. Furthermore,numerical simulation was carried out to examine the performance of such a model and it shows consistency with the theoretical analysis results.

关 键 词：改进的Korteweg-de VRIES方程 行人流 格子流体力学模型 

分 类 号：O35[理学—流体力学]