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Simple lattice Boltzmann model for traffic flows

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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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References

  1. Chen SY, Doolen GD. Lattice Boltzmann method for fluid flows.Annu Rev Fluid Mech, 1988, 30: 329–364

    Article  MATH  MathSciNet  Google Scholar 

  2. Yan GW, Chen YS, Hu SX. A lattice Boltzmann model for KdV equation.Acta Mechanica Sinica, 1998, 14(1): 18–26

    Article  MATH  Google Scholar 

  3. Qian YH, d'Humieres D, Lallemand P. Lattice BGK model for Navier Stokes equation.Europhys Lett, 1992, 17(6): 479–484

    Google Scholar 

  4. Chen HD, Chen SY, Matthaeus MH. Recovery of the Navier-Stokes equations using a lattice Boltzmann method.Phys Rev A, 1992, 45: 5339

    Article  Google Scholar 

  5. Yan GW, Chen YS, Hu SX. Simple lattice Boltzmann model for simulating flows with shock wave.Phys Rev, E, 1999, 59: 454–459

    Article  Google Scholar 

  6. Chapman S, Cowling TG. The Mathematical Theory of Non-uniform Gases. Cambridge University Press, 1970

  7. Thompson PA. Compressible-Fluids Dynamics. McGraw-Hill, 1972

  8. Whitham GB. Linear and Nonlinear Waves. Wiley-Interscience, 1974

  9. Nagel K, Schreckenberg M. A cellular automaton model for freeway traffic.J Physique, 1992, 1: 2221–2223

    Google Scholar 

  10. Chapard B, Luthi PO, Queloz PA. Cellular automaton model for car traffic in a two-dimensional street network.J Phys A, 1996, 29: 2325

    Article  MathSciNet  Google Scholar 

  11. Brunnet LG. Cellular automaton block model of traffic in a city.Physica A, 1997, 237: 59–60

    Article  Google Scholar 

  12. Liu MR. Lattice Boltzmann method for one dimensional traffic flow. In: Meng QG eds. Proceedings of the Conference of Young Scholars on New Directions of Fluid Mechanics, Hangzhou, 1998, 113–118 (in Chinese)

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Authors and Affiliations

  1. State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, 100080, Beijing, China

    Yan Guangwu & Hu Shouxin

  2. Section of Mechanics, Department of Mathematics, Jilin University, 130023, Changchun, China

    Yan Guangwu

Authors
  1. Yan Guangwu
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  2. Hu Shouxin
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Guangwu, Y., Shouxin, H. Simple lattice Boltzmann model for traffic flows. Acta Mech Sinica 16, 70–74 (2000). https://doi.org/10.1007/BF02487945

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  • DOI: https://doi.org/10.1007/BF02487945

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