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Empirical Verification of Anisotropic Hydrodynamic Traffic Model in Traffic Analysis at Intersections in Urban Area

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Abstract

In this article, the traffic hydrodynamic model considering the driver’s reaction time was applied to the traffic analysis at the intersections on real roads. In the numerical simulation with the model, the pinch effect of the right-turning vehicles flow was found, which mainly leads to traffic jamming on the straight lane. All of the results in accordance with the empirical data confirm the applicability of this model.

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References

  1. DAI Shi-qiang, FENG Su-wei, GU Guo-qing. Dynamics of traffic flow: its content, methodology and intent[J]. Nature Magazine, 1997, 19(4): 196–201(in Chinese).

    Google Scholar 

  2. DAI Shi-qiang, XUE Yu. Investigation on modeling and simulation for traffic flow[C]. Traffic and Granular Flow[C]c. Hangzhou: Zhejiang University Press, 2004, 66–125 (in Chinese).

    Google Scholar 

  3. CHOWDHURY D., SANTEN L., SCHADSCHNEIDER A. Statistical physics of vehicular traffic and some related systems[J]. Phys. Rept., 2000, 329: 199–329.

    Article  MathSciNet  Google Scholar 

  4. LIGHTHILL M. J., WHITHAM G. B. On kinematic waves II: A theory of traffic flow on long crowded roads[J]. Proc. Roy. Soc. Lond., 1955, A229(1178): 317–345.

    Article  MathSciNet  Google Scholar 

  5. RICHARDS P. I. Shock waves on the highway[J]. Oper. Res., 1956, 4(1): 42–51.

    Article  MathSciNet  Google Scholar 

  6. DEL Castillo J. M., PINTADO P., BENÍTEZ F. G. The reaction time of drivers and the stability of traffic flow[J]. Transp. Res. B, 1994, 28(1): 35–60.

    Article  Google Scholar 

  7. PAYNE H. J. Models of freeway traffic and control[C]. Mathematial Models of Public Systems. La Jolla, CA: Simulation council, 1971, 1: 51–61.

    Google Scholar 

  8. ZHANG H. M. A theory of nonequilibrium traffic flow[J]. Transp. Res. B, 1998, 32(7): 485–498.

    Article  Google Scholar 

  9. EDIE L. C., BAVEREZ E. Generation and propagation of stop-start traffic waves [C]. Vehicular Traffic Science. New York: Elsevier, 1967, 26–37.

    Google Scholar 

  10. DAGANZO C. F. Requiem for second-order fluid approximations of traffic flow[J]. Transp. Res. B, 1995, 29(4): 277–286.

    Article  Google Scholar 

  11. ZHANG H. M. A non-equilibrium traffic model devoid of gas-like behavior[J]. Transp. Res. B, 2002, 36: 275–290.

    Article  Google Scholar 

  12. AW A., RASCLE M. Resurrection of “second order” models of traffic flow[J]. Siam J. Appl. Math., 2000, 60(3): 916–938.

    Article  MathSciNet  Google Scholar 

  13. JIANG Rui, WU Qing-song, ZHU Zuo-jin. A new continuum model for traffic flow and numerical tests[J]. Transp. Res. B, 2002, 36: 405–419.

    Article  Google Scholar 

  14. LIU G. Q., LYRINTZIS A. S., MICHALOPOULOS P. G. Modelling of freeway merging and diverging flow dynamics[J]. Appl. Math. Modelling, 1996, 20: 459–469.

    Article  Google Scholar 

  15. XUE Yu, DAI Shi-qiang. Continuum traffic model with the consideration of two delay time scales[J]. Phys. Rev. E, 2003, 68(6): 066123.

    Google Scholar 

  16. DAI Shi-qiang, LEI Li, DONG Li-yun. Analysis of traffic flow at intersection near ramps of overhanging freeways[J]. Acta Mechanica Sinica, 2003, 35(15): 513–518(in Chinese).

    Google Scholar 

  17. FENG Su-wei. Mathematical modeling, field calibration and numerical simulation of low-speed mixed traffic flow in cities[D]. Ph. D. Thesis, Shanghai: Shanghai University, 1997 (in Chinese).

    Google Scholar 

  18. PAPAGEORGIOU M. Application of automatic control concepts to traffic flow modeling and control[M]. New York: Springer-Verlag, 1983.

    Book  Google Scholar 

  19. LEO C. J., PRETTY R. L. Numerical simulation of macroscopic continuum traffic models[J]. Transp. Res. B, 1992, 26(3): 207–220.

    Article  Google Scholar 

  20. DEL Castillo J. M., BENÍTEZ F. G. On the functional form of the speed-density relationship- I: general theory[J]. Transp. Res. B, 1995, 29(5): 373–389.

    Article  Google Scholar 

  21. WU Zheng. A fluid dynamics model for the low speed traffic systems[J]. Acta Mechanica Sinica, 1994, 26(2): 149–157(in Chinese).

    Google Scholar 

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Correspondence to Yan-fang Wei.

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Project supported by the National Natural Science Foundation of China (Grant Nos. 10662002, 10532060), the National Basic Research Program of China (Grant No. 2006CB705500), the Natural Science Foundation of Guangxi Zhuang Autonomous Region (Grant Nos. 0342012, 0640003) and the Education Administration of Guangxi Zhuang Autonomous Region.

Biography: WEI Yan-fang (1979-), Female, Master, Lecturer

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Wei, Yf., Guo, Sl. & Xue, Y. Empirical Verification of Anisotropic Hydrodynamic Traffic Model in Traffic Analysis at Intersections in Urban Area. J Hydrodyn 19, 230–235 (2007). https://doi.org/10.1016/S1001-6058(07)60053-5

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  • DOI: https://doi.org/10.1016/S1001-6058(07)60053-5

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