Title of article :
A macroscopic second order model for air traffic flow
Author/Authors :
Hoshyar Sadeghian, Mahboobeh Department of Applied Mathematics - Faculty of Mathematical Science - Ferdowsi University of Mashhad - Mashhad - Iran , Gachpazan, Mortaza Department of Applied Mathematics - Faculty of Mathematical Science - Ferdowsi University of Mashhad - Mashhad - Iran , Davoodi, Nooshin Department of Applied Mathematics - Faculty of Mathematical Science - Ferdowsi University of Mashhad - Mashhad - Iran , Toutounian, Faezeh Department of Applied Mathematics - Faculty of Mathematical Science - Ferdowsi University of Mashhad - Mashhad - Iran
Abstract :
In this paper, we introduce a new dynamic model for the air traffic flow prediction to estimate the traffic distribution for given airspaces in the future. Based on Lighthill-Whitham-Richards traffic flow model and the Newton's second law, we establish a nonlinear model to describe interrelationship and influential factors of the three characteristic parameters as traffic flow, density, and velocity. The upwind scheme is applied to perform the numerical simulations. Numerical results show that the proposed model can reproduce the evolution of shockwave, rarefaction wave, and small perturbation.
Keywords
Keywords :
Air traffic flow , macroscopic model , LWR model , Newton's second law , upwind scheme
Journal title :
Journal of Mathematical Modeling(JMM)
