A higher-order macroscopic model for pedestrian flows

Physica A: Statistical Mechanics and its Applications

Volumn 389, Issue 21, 2010, Pages 4623-4635

  Jiang, Yan Qun ^a   Zhang, Peng ^b   Wong, S C ^c   Liu, Ru Xun ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b SHANGHAI UNIVERSITY   (China)

^c UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Linear stability analysis; Obstruction; Path choice; Pedestrian crowd dynamics; Traffic instability; Unstructured meshes

Indexed keywords

DYNAMICS;

COMPUTATIONAL ALGORITHM; HYPERBOLIC CONSERVATION LAWS; OBSTRUCTION; PATH CHOICE; PEDESTRIAN CROWD DYNAMICS; TWO-DIMENSIONAL EULER EQUATIONS; UNSTRUCTURED MESHES; VARIOUS MODEL PARAMETERS;

LINEAR STABILITY ANALYSIS;

EID: 77956172545     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2010.05.003     Document Type: Article

References (43)

1. P.G. Gipps, and B. Marksjo Math. Comput. Simul. 27 1985 95 105
2. D. Helbing Complex Sys. 6 1992 391 415
3. D. Helbing, and P. Molnr Phys. Rev. E 51 1995 4282 4286
4. D. Helbing, I. Farkas, and T. Vicsek Nature 407 2000 487 490
5. S.P. Hoogendoorn, and P.H.L. Bovy Trans. Res. B 38 2004 169 190
6. S.P. Hoogendoorn, and P.H.L. Bovy Trans. Res. B 38 2004 571 592
7. Y.F. Yu, and W.G. Song Phys. Rev. E 75 2007 046112
8. Y.F. Yu, and W.G. Song Phys. Rev. E 76 2007 026102
9. A. Kirchner, K. Nishinari, and A. Schadschneider Phys. Rev. E 67 2003 056122
10. D. Yanagisawa, A. Kimura, A. Tomoeda, R. Nishi, Y. Suma, K. Ohtsuka, and K. Nishinari Phys. Rev. E 80 2009 036110
11. T.I. Lakoba, D.J. Kaup, and N.M. Finkelstein Simulation 81 2005 339 352
12. M. Asano, A. Sumalee, M. Kuwahara, and S. Tanaka Trans. Res. Rec. 2039 2008 42 49
13. W.J. Yu, L.Y. Chen, R. Dong, and S.Q. Dai Phys. Rev. E 72 2005 026112
14. W.J. Yu, and A. Johansson Phys. Rev. E 76 2007 46105
15. H. Kuang, T. Song, X.L. Li, and S. Dai Chinese Phys. Lett. 25 2008 1498 1501
16. R.L. Hughes Math. Comput. Simul. 53 2000 367 370
17. R.L. Hughes Trans. Res. B 36 2002 507 535
18. R.L. Hughes Annu. Rev. Fluid Mech. 35 2003 169 182
19. V. Coscia, and C. Canavesio Math. Models. Methods Appl. 18 2008 1217 1247
20. N. Bellomo, and C. Dogb Math. Models Methods Appl. Sci. 18 suppl. 2008 1317 1345
21. Y. Xia, S.C. Wong, M.P. Zhang, C.-W. Shu, and W.H.K. Lam Int. J. Numer. Meth. Engng. 76 2008 337 350
22. Y. Xia, S.C. Wong, and C.-W. Shu Phys. Rev. E 79 2009 066113
23. L. Huang, S.C. Wong, M.P. Zhang, C.W. Shu, and W.H.K. Lam Trans. Res. B 43 2009 127 141
24. D. Helbing, A. Johansson, and H.Z. Al-Abideen Phys. Rev. E 75 2007 046109
25. A. Johansson, D. Helbing, H.Z. Al-Abideen, and S. Al-Bosta Adv. Com. Sys. 11 2008 497 527
26. H.J. Payne Simulation Council Proc. 1 1971 51 61
27. G.B. Whitham Linear and Nonlinear Waves 1974 John Wiley and Sons New York
28. E.F. Toro Riemann Solvers and Numerical Methods for Fluid Dynamics 1997 Springer-Verlag Berlin, Heidelberg
29. R.Y. Xu, P. Zhang, S.Q. Dai, and S.C. Wong SIAM J. Appl. Math. 68 2007 562 573
30. P. Zhang, and S.C. Wong Phys. Rev. E 74 2006 026109
31. P. Zhang, S.C. Wong, and S.Q. Dai Trans. Res. B 43 2009 562 574
32. A. Seyfried, B. Steffen, and T. Lippert Physica A 368 2006 232 238
33. R.W. Rothery, Traffic Flow Theory, TRB Special Report 165, Washington, DC, 1996 (Chapter 4).
34. P. Wesseling Principles of Computational Fluid Dynamics 2001 Springer Berlin
35. R. Jiang, Q.S. Wu, and Z.J. Zhu Trans. Res. B 36 2002 405 419
36. M. Hassan, and R. Rogers Nuclear Engineering and Design 235 2005 2349 2357
37. J. Qian, Y.T. Zhang, and H.K. Zhao SIAM J. Numer. Anal. 45 2007 83 107
38. K.S. Erduran, V. Kutija, and C.J.M. Hewett Int. J. Numer. Meth. Fluids 40 2002 1237 1273
39. J.W. Wang, and R.X. Liu Math. Comput. Simul. 53 2000 171 184
40. A. Kurganov, and D. Levy Math. Model. Numer. Anal. 36 2002 397 425
41. A. Kurganov, and G. Petrova SIAM J. Sci. Comput. 31 2009 1742 1773
42. C.W. Shu, and S. Osher J. Comput. Phys. 77 1988 439 471
43. S.C. Wong, W.L. Leung, S.H. Chan, W.H.K. Lam, N.H.C. Yung, C.Y. Liu, and P. Zhang ASCE J. Transport. Eng. 136 2010 234 242