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
Pages
14
From page
41
To page
54
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)
Serial Year
2020
Record number
2629696
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