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<\/a>The evolution\u00a0of density distribution on two adjacent lanes. The downstream congestion wave\u00a0is damped out because of the presence of the lane-changing viscosity term. There are many similarities between traffic flow and\u00a0compressible fluid flow.\u00a0It\u2019s interesting to compare the\u00a0congestion wave<\/strong>\u00a0in traffic to the wave motion in fluids. Intrinsically. this similarity suggests that we can also use a parabolic PDE set to describe traffic flows. This concept has been widely accepted and many have built beautiful models that take care of the\u00a0car-following phenomenon<\/strong>, i.e. if there aren\u2019t many vehicles in one lane, they should accelerate and vice versa.<\/p>\nWhat fascinates me and hasn\u2019t been brought up in the literature is the\u00a0analogy of viscosity<\/strong>\u00a0in fluids and that of\u00a0lane-changing behavior!<\/strong><\/p>\n Inspired by this idea, I established a\u00a0model<\/strong> that accounts for both car-following behavior and lane-changing behavior. The model parameter was fit based on the data we got from the highway recordings<\/strong>. I also carried out numerical simulations to show how the perturbation will develop in time and space under different congestion conditions. Among other features, the model shows, in accordance with our observation, that the lane-changing behavior alleviates the congestion problem.<\/p>\n Collaborators:\u00a0Xiaohe Liu, Zheng Wu and Mingmin Guo<\/p>\n Publications:<\/p>\n Liu,\u00a0X., Ko, H., Guo, M., & Wu, Z. (2016). A new traffic model on compulsive lane-changing caused by off-ramp. Chinese Physics B 25(4), 048901.<\/a>\u00a0[pdf]<\/a><\/p>\n Ko, H., Liu, X., Guo, M., &Wu, Z. (2015) A new traffic model with a lane-changing viscosity term. Chinese Physics B 24(9), 98901-98907.<\/a>\u00a0[pdf]<\/a><\/p>\n","protected":false},"excerpt":{"rendered":" [March 2014 \u2013 June 2015] The evolution\u00a0of density distribution on two adjacent lanes. The downstream congestion wave\u00a0is damped out because of the presence of the lane-changing viscosity term. There are many similarities between traffic flow and\u00a0compressible fluid flow.\u00a0It\u2019s interesting to compare the\u00a0congestion wave\u00a0in traffic to the wave motion in fluids. Intrinsically. this similarity suggests that … <\/p>\n