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Original Articles

Discrete approaches for crowd movement modelling

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Pages 189-206 | Published online: 15 May 2012

References

  • Allen , M. and Tildesley , D. 1987 . Computer simulation of liquids , Oxford University Press .
  • Blue , V. and Adler , J. 2000 . Cellular automata microsimulation of bi-directional pedestrian flows . Journal of the Transportation Research Board , 1678 : 135 – 141 .
  • Bodgi , J. 2008 . Synchronisation piétons-structure: Application aux vibrations des passerelles souples , Ecole Nationale des Ponts et Chaussées . PhD thesis
  • Bodgi , J. , Erlicher , S. and Argoul , P. 2007 . Lateral vibration of footbridges under crowd - loading : continuous crowd modelling approach . Key Engineering Materials , 347 : 685 – 690 .
  • Cundall , P. 1971 . A computer model for simulating progressive large scale movements of blocky rock systems . Proc. of the symposium of the international society of rock mechanics , 1 : 132 – 150 .
  • Cundall , P. and Strack , O. 1979 . A discrete numerical model for granular assemblies . Geotechnique , 29 ( 1 ) : 47 – 65 .
  • Dal Pont , S. and Dimnet , E. 2006 . A theory for multiple collisions of rigid solids and numerical simulation of granular flow . Int.J.Solids and Structures , 43 ( 20 ) : 6100 – 6114 .
  • Dal Pont , S. and Dimnet , E. 2008 . Theoretical approach to instantaneous collisions and numerical simulation of granular media using the A-CD2 method . Communications in Applied Mathematics and Computational Science -Berkeley , 3 ( 1 ) : 1 – 24 .
  • Dimnet , E. 2002 . Mouvement et collisions de solides rigides ou déformables , Ecole Nationale des Ponts et Chaussées . PhD thesis
  • Ericson , C. 2004 . Real Time Collision Detection , Morgan Haufmann Publishers .
  • Erlicher , S. , Trovato , A. and Argoul , P. 2010 . Modeling the lateral pedestrian force on a rigid floor by a self-sustained oscillator . Mechanical Systems and Signal Processing , 24 : 1579 – 1604 . doi:10.1016/j.ymssp.2009.11.006
  • Frémond , M. 1995 . Rigid bodies collisions . Physics Letters A , 204 : 33 – 41 .
  • Frémond , M. 2007 . Collisions , Edizioni del Dipartimento di Ingegneria Civile dell’ Università di Roma Tor Vergata .
  • Hankin , B. and Wright , R. 1958 . Passenger flow in subways . Oper. Res. , 9 : 81 – 88 .
  • Helbing , D. 2002 . Traffic and related self-driven many-particle systems . Reviews of Modern Physics , 73 : 1067 – 1141 .
  • Helbing , D. , Buzna , L. , Johansson , A. and Werner , T. 2005 . Self-Organized Pedestrian Crowd Dynamics: Experiments, Simulations, and Design Solutions . Transportation Science , 39 ( 1 ) : 1 – 24 .
  • Helbing , D. , Farkas , I. and Vicsek , T. 2000 . Simulating dynamic features of escape panic . Nature , 407 : 487 – 490 .
  • Helbing , D. and Molnar , P. 1995 . Social force model for pedestrian dynamics . Physical Review E , 51 ( 5 ) : 4282 – 4286 .
  • Henderson , L. 1971 . The statistics of crowd fluids . Nature , 229 : 381 – 383 .
  • Hoogendoorn , S. , Bovy , P. and Daamen , W. 2001 . Microscopic pedestrian wayfinding and dynamics modelling . Pedestrian and Evacuation Dynamics , : 123 – 154 .
  • Jean , M. 1999 . The Non Smooth Contact Dynamics Method . Compt. Methods Appl. Math. Engrg. , 177 : 235 – 257 .
  • Jean , M. and Moreau , J. 1992 . Unilaterality and dry friction in the dynamics of rigid bodies collection . Contact Mechanics International Symposium , : 31 – 48 .
  • Kimmel , R. and Sethian , J. 1996 . Fast marching methods for computing distance maps and shortest paths , Berkeley : Technical Report 669, CPAM, University of California .
  • Kishino , Y. 1988 . Disk model analysis of granular media . Micromechanics of Granular Materials , : 143 – 152 .
  • Klüpfel , H. 2003 . A Cellular Automaton Model for Crowd Movement and Egress Simulation , Université Duisburg-Essen de Standort Duisburg . PhD thesis
  • Maury , B. 2006 . A time-stepping scheme for inelastic collisions . Numerische Mathematik , 102 ( 4 ) : 649 – 679 .
  • Moreau , J. 1970 . Sur les lois du frottement, de la viscosité et de la plasticité . Comptes rendus de l’Académie des Sciences de Paris , 271 : 608 – 611 .
  • Moreau , J. 1988 . “ Unilateral contact and dry friction in finite freedom dynamics ” . In Non Smooth Mechanics and Applications, CISM Courses and Lectures , Edited by: Moreau , J. and Panagiotopoulos , W. N. Y. P.-D. vol. 302 , 1 – 82 . Springer-Verlag .
  • Moreau , J. 1994 . Some numerical methods in multibody dynamics: Application to granular materials . Eur.J.Mech.A/Solids , 13 : 93 – 114 .
  • Moussaïd , M. , Perozo , N. , Garnier , S. , Helbing , D. and Theraulaz , G. 2010 . The Walking Behaviour of Pedestrian Social Groups and Its Impact on Crowd Dynamics . PLoS ONE , e10047. doi:10.1371/journal.pone.0010047
  • Musse , S. , Jung , C. Jr. and Braun , J. J. A. 2007 . Using computer vision to simulate the motion of virtual agents . Computer Animation and Virtual Worlds , 18 : 83 – 93 .
  • Paoli , L. 2001 . Time discretization of vibro-impact . Phil. Trans. R. Soc. A , 359 : 2405 – 2428 .
  • Paris , S. 2007 . Characterisation of levels of services and modelling of flows of people inside exchange areas , Université de Rennes 1 . PhD thesis
  • Paris , S. , Pettré , J. and Donikian , S. 2007 . Pedestrian Reactive Navigation for Crowd Simulation: a Predictive Approach . Computer Graphics Forum , 26 ( 3 ) : 665 – 674 .
  • Pécol , P. , Dal Pont , S. , Erlicher , S. and Argoul , P. 2010 . Modelling crowd-structure interaction . Mécanique & Industries, EDP Sciences , 11 ( 6 ) : 495 – 504 . doi:10.1051/meca/2010057
  • Radjai , F. , Jean , M. , Moreau , J. and Roux , S. 1996 . Force Distributions in Dense Two-Dimensional Granular Systems . Phys. Rev. Lett. , 77 ( 2 ) : 264 – 277 .
  • Radjai , F. and Richefeu , V. 2009 . Contact dynamics as a nonsmooth discrete element method . Mechanics of Materials 41 , 41 : 715 – 728 .
  • Renouf , M. 2004 . Optimisation numérique et calcul parallèle pour l’étude des milieux divisés bi- et tridimensionnels , UniversitéMontpellier II - Sciences et Techniques du Languedoc- . PhD thesis
  • Reynolds , C. 1987 . Flocks, herds, and schools: A distributed behavioral model . Computer Graphics , 21 : 25 – 34 .
  • Saussine , G. , Cholet , C. , Gautier , P. , Dubois , F. , Bohatier , C. and Moreau , J. 2006 . Modelling ballast behaviour under dynamic loading. Part 1: a 2D polygonal discrete element method approach . Comput. Methods Appl. Mech. Engrg , 195 : 2841 – 2859 .
  • Strogatz , S. , Abrams , D. , McRobie , A. , Eckhardt , B. and Ott , E. 2005 . Theoretical mechanics: Crowd synchrony on the Millenium bridge . Nature , 438 : 43 – 44 .
  • Sung , M. , Gleicher , M. and Chenney , S. 2004 . Scalable behaviors for crowd simulation . Eurographics , 23 : 519 – 528 .
  • Teknomo , K. 2006 . Application of microscopic pedestrian simulation model . Transportation Research Part F , 9 : 15 – 27 .
  • Venel , J. 2008 . Modélisation mathématique des mouvements de foule , Orsay , , France : Laboratoire de Mathématiques, Université Paris XI . PhD thesis

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