Traffic flow sensitivity to visco-elasticity

Abstract This letter reports traffic flow sensitivity to visco-elasticity, with the traffic flow modeling briefly described at first and then used to do traffic flow simulations whose results can reflect the properties of spatial–temporal evolution of ring traffic flow. It reveals that visco-elasticity plays crucial role in formation of traffic flow patterns, implying that self-organization of traffic flow is crucial in determining traffic flow status.

[1]  J. C. Tanner.  Mathematical Theories of Traffic Flow , 1964 .

[2]  Gang-Len Chang,et al.  A macroscopic traffic model for highway work zones: Formulations and numerical results , 2006 .

[3]  H. M. Zhang.  Driver memory, traffic viscosity and a viscous vehicular traffic flow model , 2003 .

[4]  J. M. D. Castillo.  Propagation of perturbations in dense traffic flow: a model and its implications , 2001 .

[5]  Harold J Payne,et al.  MODELS OF FREEWAY TRAFFIC AND CONTROL. , 1971 .

[6]  S. Hoogendoorn,et al.  Continuum modeling of multiclass traffic flow , 2000 .

[7]  Peng Zhang,et al.  Nonlinear Analysis in the Aw-Rascle Anticipation Model of Traffic Flow , 2007, SIAM J. Appl. Math..

[8]  Axel Klar,et al.  Kinetic Derivation of Macroscopic Anticipation Models for Vehicular Traffic , 2000, SIAM J. Appl. Math..

[9]  T. Nagatani.  The physics of traffic jams , 2002 .

[10]  Wen-Long Jin,et al.  The formation and structure of vehicle clusters in the Payne-Whitham traffic flow model , 2003 .

[11]  Kerner,et al.  Cluster effect in initially homogeneous traffic flow. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[12]  Serge P. Hoogendoorn,et al.  Continuum Theory for Pedestrian Traffic Flow: Local Route Choice Modelling and its Implications , 2015 .

[13]  N. Smirnov,et al.  Irregular traffic flow on a ring road , 2000 .

[14]  D. Helbing.  Traffic and related self-driven many-particle systems , 2000, cond-mat/0012229.

[15]  Jean-Patrick Lebacque,et al.  A variational formulation for higher order macroscopic traffic flow models: numerical investigation , 2014 .

[16]  M J Lighthill,et al.  On kinematic waves II. A theory of traffic flow on long crowded roads , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[17]  A. Schadschneider,et al.  Statistical physics of vehicular traffic and some related systems , 2000, cond-mat/0007053.

[18]  William R. McShane,et al.  A review of pedestrian safety models for urban areas in Low and Middle Income Countries , 2016 .

[19]  A. I. Bogdanova,et al.  Exploring peculiarities of traffic flows with a viscoelastic model , 2015 .

[20]  S. Wong,et al.  Essence of conservation forms in the traveling wave solutions of higher-order traffic flow models. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  Martin Hilliges,et al.  A phenomenological model for dynamic traffic flow in networks , 1995 .

[22]  D. Helbing,et al.  Gas-Kinetic-Based Traffic Model Explaining Observed Hysteretic Phase Transition , 1998, cond-mat/9810277.

[23]  S. Wong,et al.  A conserved higher-order anisotropic traffic flow model: Description of equilibrium and non-equilibrium flows , 2009 .

[24]  P. I. Richards.  Shock Waves on the Highway , 1956 .

[25]  Markos Papageorgiou,et al.  Macroscopic traffic flow model validation at congested freeway off-ramp areas , 2014 .

[26]  A. I. Delis,et al.  High-resolution numerical relaxation approximations to second-order macroscopic traffic flow models , 2014 .

[27]  Boris S. Kerner,et al.  Synchronized flow as a new traffic phase and related problems for traffic flow modelling , 2002 .

[28]  Dirk Helbing,et al.  Criticism of three-phase traffic theory , 2009 .

[29]  J. Lebacque,et al.  Generic Second Order Traffic Flow Modelling , 2007 .

[30]  Michel Rascle,et al.  Resurrection of "Second Order" Models of Traffic Flow , 2000, SIAM J. Appl. Math..

[31]  Zuojin Zhu,et al.  Two-Phase Fluids Model for Freeway Traffic Flow and Its Application to Simulate Evolution of Solitons in Traffic , 2003 .

[32]  C. Daganzo.  Requiem for second-order fluid approximations of traffic flow , 1995 .

[33]  Zuojin Zhu,et al.  Visco‐elastic traffic flow model , 2013 .

[34]  M. Khoshyaran,et al.  A variational formulation for higher order macroscopic traffic flow models of the GSOM family , 2013 .

[35]  Dirk Helbing,et al.  Coherent moving states in highway traffic , 1998, Nature.

[36]  Shing Chung Josh Wong,et al.  A multi-class traffic flow model: an extension of LWR model with heterogeneous drivers , 2002 .

[37]  Michael Schreckenberg,et al.  A cellular automaton model for freeway traffic , 1992 .