Numerical simulations of traffic data via fluid dynamic approach

In this paper we introduce a simulation algorithm based on fluid dynamic models to reproduce the behavior of traffic in a portion of the urban network in Rome. Numerical results, obtained comparing experimental data with numerical solutions, show the effectiveness of our approximation.

[1]  J. Lebacque,et al.  A Finite Acceleration Scheme for First Order Macroscopic Traffic Flow Models , 1997 .

[2]  C Buisson,et al.  THE STRADA MODEL FOR DYNAMIC ASSIGNMENT , 1996 .

[3]  Mauro Garavello,et al.  Conservation laws with discontinuous flux , 2007, Networks Heterog. Media.

[4]  Markos Papageorgiou,et al.  Dynamic modeling, assignment, and route guidance in traffic networks , 1990 .

[5]  Dirk Helbing,et al.  Self-organized control of irregular or perturbed network traffic; Optimal Control and Dynamic Games , 2005, physics/0511018.

[6]  H. M. Zhang A theory of nonequilibrium traffic flow , 1998 .

[7]  Benedetto Piccoli,et al.  Numerical approximations of a traffic flow model on networks , 2006, Networks Heterog. Media.

[8]  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.

[9]  Jean-Patrick Lebacque,et al.  First Order Macroscopic Traffic Flow Models for Networks in the Context of Dynamic Assignment , 2002 .

[10]  Habib Haj-Salem,et al.  METACOR: A MACROSCOPIC MODELLING TOOL FOR URBAN CORRIDOR , 1994 .

[11]  H. Holden,et al.  A mathematical model of traffic flow on a network of unidirectional roads , 1995 .

[12]  A. Bressan Hyperbolic systems of conservation laws : the one-dimensional Cauchy problem , 2000 .

[13]  Carlos F. Daganzo,et al.  On the variational theory of traffic flow: well-posedness, duality and applications , 2006, Networks Heterog. Media.

[14]  Benedetto Piccoli,et al.  Traffic circles and timing of traffic lights for cars flow , 2005 .

[15]  C. Daganzo A finite difference approximation of the kinematic wave model of traffic flow , 1995 .

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

[17]  Benedetto Piccoli,et al.  Fast algorithms for the approximation of a traffic flow model on networks , 2006 .

[18]  I. Prigogine,et al.  A Two-Fluid Approach to Town Traffic , 1979, Science.

[19]  J. Lebacque THE GODUNOV SCHEME AND WHAT IT MEANS FOR FIRST ORDER TRAFFIC FLOW MODELS , 1996 .

[20]  Vittorio Astarita,et al.  Node and link models for network traffic flow simulation , 2002 .

[21]  C. Chalons,et al.  Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling , 2008 .

[22]  R. Colombo A 2 × 2 hyperbolic traffic flow model , 2002 .

[23]  Mauro Garavello,et al.  Traffic Flow on Networks , 2006 .

[24]  Ke Chen,et al.  Applied Mathematics and Computation , 2022 .

[25]  Carlos F. Daganzo,et al.  THE CELL TRANSMISSION MODEL, PART II: NETWORK TRAFFIC , 1995 .

[26]  Dirk Helbing,et al.  Self-Organized Network Flows , 2007 .

[27]  Carlos F. Daganzo,et al.  Fundamentals of Transportation and Traffic Operations , 1997 .

[28]  Richard F. Hartl,et al.  Optimal Control and Dynamic Games , 2005 .

[29]  Rinaldo M. Colombo,et al.  Hyperbolic Phase Transitions in Traffic Flow , 2003, SIAM J. Appl. Math..

[30]  C. Daganzo THE CELL TRANSMISSION MODEL.. , 1994 .

[31]  Mauro Garavello,et al.  Traffic Flow on a Road Network , 2005, SIAM J. Math. Anal..

[32]  Markos Papageorgiou,et al.  Macroscopic modelling of traffic flow on the Boulevard Périphérique in Paris , 1989 .