Lattice Hydrodynamic Modeling And Density Wave Analysis Considering Different Urban Road Environment

Up to now,the development of Chinese cities is in the stage of accelerating speed and expanding scale,which is also accompanied by the phenomenon that people’s economic level gradually improves with the development of cities.As a derivative of increasing people’s life satisfaction and happiness index,cars are rapidly entering into thousands of households.However,although the modern transportation system provides a lot of convenience for our life,a series of problems brought by it cannot be ignored,such as exhaust pollution,traffic jam and accidents.These problems not only emerge in an endless stream,but also develop in a more and more severe form,which have obvious negative effects on the progress of modern society.This phenomenon has attracted the attention of people from all walks of life,and the conclusion is drawn that the construction of intelligent,economic and technological transportation system has become the primary goal of urban sustainable.In view of the huge and complex traffic system,scholars at home and abroad proposed to establish traffic flow models and carry out simulation,so as to obtain the effective means to ease traffic congestion research.Based on the representative lattice hydrodynamic models,some improved lattice hydrodynamic models considering different urban road environments are proposed.Firstly,the stability condition and neutral stability condition of the new model are obtained by linear analysis.Then the nonlinear analysis is carried out and the solution of mKdV equation and its kink-antikink density wave is obtained.Then the new model is simulated numerically.Based on the results of theoretical analysis and the simulated trend chart,the influence of the factors considered in the new model on traffic flow is obtained,and some suggestions are put forward to effectively alleviate traffic congestion.The main work is as follows:(1)a single lane lattice hydrodynamic model is proposed on the straight track,taking into account the backward looking effect and the integral flow effect;(2)a single lane lattice hydrodynamic model is proposed on the curved road considering the optimal speed difference effect and the driver memory effect;(3)a single lane lattice hydrodynamic model with interruption probability is proposed on the gradient highway;(4)a two-lane lattice hydrodynamic model is proposed on the straight track,taking into account the honking effect and interruption probability.