路段交通流的动力学模型及其仿真

引入超车换道流量,建立了相应的交通流连续性方程。通过对交通流参数的微分分析,建立了路段交通流的运动微分方程。与流体力学对比,根据牛顿第二定律,提出了计算简便的交通压力、粘性阻力系数及粘性阻力,定义来自下游交通波的干扰为交通流的粘性,波速与最大波速之差为沿程粘性阻力系数,沿程粘性阻力与车道长度、流量沿车流方向的变化率、沿程粘性阻力系数成正比,模型能够得出交通流参数之间的关系。仿真实例表明:模型能够反映交通流的基本特性。

Dynamical Model of Traffic Flow on Segment and Its Simulation

Including overtaking flow,the traffic flow continuum equation was founded.Traffic momentum differentiating equation was founded by means of differential analysis.Comparing with hydrodynamics and based on the second Newton's law,traffic pressure,viscosity factor and viscosity resistance which could be easily to calculate were proposed.Traffic viscosity was defined as the interference of traffic wave from down stream.Difference of wave velocity and the maximum wave velocity was defined as the segment viscosity factor.Segment viscosity resistance was in proportion to the length of the segment,flow grads along stream direction and segment viscosity factor.Based on the model,the relationships among traffic flow parameters were obtained.The numerical case shows that the model can reasonably describe the nature of traffic flow.