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Simple lattice Boltzmann model for traffic flows
Authors:Yan Guangwu  Hu Shouxin
Affiliation:(1) State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, 100080 Beijing, China;(2) Section of Mechanics, Department of Mathematics, Jilin University, 130023 Changchun, China
Abstract:A lattice Boltzmann model with 5-bit lattice for traffic flows is proposed. Using the Chapman-Enskog expansion and multi-scale technique, we obtain the higher-order moments of equilibrium distribution function. A simple traffic light problem is simulated by using the present lattie Boltzmann model, and the result agrees well with analytical solution.
Keywords:lattice Boltzmann method  traffic flows  higher-order moment method
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