Abstract
In this paper we collect two parts of a research project on the pedestrian flow modeling. Rapid growth in the volume of public transport and the need for its reasonable, efficient planning has made the description and modeling of transport and pedestrian behaviors an important research topic in the last twenty years. Comparatively little attention has been paid to the problem of pedestrian crowd behaviors in geometries with multiple destinations: each of the possibly many pedestrians moves to one out of a number of destinations. The objective of the present study is to investigate pedestrian behaviors in such a context. The central problem is the modeling of crossing pedestrian streams. In view of a desirable practical relevance, realistic, i.e. rather complex geometries are studied in this context.
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References
Chen, M.J., Bärwolff, G., Schwandt, H.: A study of step calculations in traffic cellular automaton models. In: 13th International IEEE Conference on Intelligent Transportation Systems, pp. 747–752 (2010), http://page.math.tu-berlin.de/~chenmin/pub/cbs100709.pdf (an electronic version) (accessed May 16, 2013)
Lämmel, G., Plaue, M.: Getting out of the way: Collision avoiding pedestrian models. In: PED 2012 Conference Proceedings (2012)
Moussaïd, M., Helbing, D., Theraulaz, G.: How simple rules determine pedestrian behavior and crowd disasters. PNAS 108(17), 6884–6888 (2011)
Predtechenskii, V.M., Milinskii, A.I.: Planning for Foot Traffic Flow in Buildings. Amerind Publishing, New Delhi (1978); Translation of Proekttirovanie Zhdanii s. Uchetom Organizatsii Dvizheniya Lyuddskikh Potokov. Stroiizdat, Moscow (1969)
Weidmann, U.: Transporttechnik der Fußgänger – transporttechnische Eigenschaften des Fußgängerverkehrs (Literaturstudie). Schriftenreihe der IVT 90 (March 1993) (in German)
Schadschneider, A., Klingsch, W., Kluepfel, H., Kretz, T., Rogsch, C., Seyfried, A.: Evacuation dynamics: Empirical results, modeling and applications. Encyclopedia of Complexity and Systems Science, 3142–3176 (2009)
Cristiani, E., Piccoli, B., Tosin, A.: Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints. In: Bellomo, N., Naldi, G., Pareschi, L., Toscani, G. (eds.) Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences. Modeling and Simulation in Science, Engineering and Technology, pp. 337–364. Birkhäuser, Boston (2010)
Berres, S., Ruiz-Baier, R., Schwandt, H., Tory, E.M.: An adaptive finite-volume method for a model of two-phase pedestrian flow. Networks and Heterogeneous Media (NHM) 6 (2011)
Hughes, R.L.: A continuum theory for the flow of pedestrians. Transportation Research Part B 36, 507–535 (2002)
Huth, F., Bärwolff, G., Schwandt, H.: A macroscopic multiple species pedestrian flow model based on heuristics implemented with finite volumes. In: PED 2012 Conference Proceedings (2012)
Helbing, D., Farkas, I.J., Vicsek, T.: Freezing by heating in a driven mesoscopic system. Phys. Rev. Lett. 84(6), 1240–1243 (2000)
Radzihovsky, L., Clark, N.A.: Comment on “Freezing by heating in a driven mesoscopic system”. Phys. Rev. Lett. 90(18), 189603 (2003)
Huth, F., Bärwolff, G., Schwandt, H.: Some fundamental considerations for the application of macroscopic models in the field of pedestrian crowd simulation. Preprint ID 2012/16 (2012), http://www.math.tu-berlin.de/menue/forschung/veroeffentlichungen/preprints_2012
Huth, F., Bärwolff, G., Schwandt, H.: Fundamental diagrams and multiple pedestrian streams. Preprint ID 2012/17 (2012), http://www.math.tu-berlin.de/menue/forschung/veroeffentlichungen/preprints_2012/
Bärwolff, G., Slawig, T., Schwandt, H.: Modeling of pedestrian flows using hybrid models of euler equations and dynamical systems. In: AIP Conference Proceedings, vol. 936(1), pp. 70–73 (2007)
Henderson, L.F.: The Statistics of Crowd Fluids. Nature 229(5284), 381–383 (1971)
Ahnert, T., Bärwolff, G., Schwandt, H.: A Multispecies Macroscopic Pedestrian Model approximated by a 3d incompressible Flow. In: Proceedings of the 7th International Conference on Information and Management Sciences 2012, Dunhuang/China. Series of Information and Management Sciences, vol. 7, pp. 475–480. California Polytechnic State University Press, Pomona (2012)
Helbing, D., Molnár, P.: Social force model for pedestrian dynamics. Phys. Rev. E 51, 4282–4286 (1995)
Johansson, A., Helbing, D., Shukla, P.: Specification of the social force pedestrian model by evolutionary adjustment to video tracking data. Advances in Complex Systems (10), 271–288 (2007)
Issa, R.I.: Solution of the implicitly discretised fluid flow equations by operator-splitting. Journal of Computational Physics (62) (1986)
OpenCFD Ltd: Open\(\nabla\)FOAM: The open source CFD toolbox (2010), http://www.openfoam.com (accessed today)
Plaue, M., Chen, M., Bärwolff, G., Schwandt, H.: Trajectory extraction and density analysis of intersecting pedestrian flows from video recordings. In: Stilla, U., Rottensteiner, F., Mayer, H., Jutzi, B., Butenuth, M. (eds.) PIA 2011. LNCS, vol. 6952, pp. 285–296. Springer, Heidelberg (2011)
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Bärwolff, G., Ahnert, T., Chen, M., Huth, F., Plaue, M., Schwandt, H. (2013). Modeling and Numerical Simulation of Multi-destination Pedestrian Crowds. In: Murgante, B., et al. Computational Science and Its Applications – ICCSA 2013. ICCSA 2013. Lecture Notes in Computer Science, vol 7975. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39640-3_7
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DOI: https://doi.org/10.1007/978-3-642-39640-3_7
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