Simple lattice Boltzmann model for traffic flows |
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Authors: | Yan Guangwu Hu Shouxin |
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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 |
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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. |
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Keywords: | lattice Boltzmann method traffic flows higher-order moment method |
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