Title: A macroscopic second order model for air traffic flow.
Authors: Sadeghian, Mahboobeh Hoshyar; Gachpazan, Mortaza; Davoodi, Nooshin; Toutounian, Faezeh
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 inter-relationship 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.
Subjects: AIR traffic control; NEWTON'S second law of motion; VELOCITY measurements; NUMERICAL analysis; PERTURBATION theory
Publication: Journal of Mathematical Modeling (JMM), 2020, Vol 8, Issue 1, p41
ISSN: 2345-394X
Publication type: Academic Journal
DOI: 10.22124/jmm.2019.15035.1359

A macroscopic second order model for air traffic flow.

Sadeghian, Mahboobeh Hoshyar; Gachpazan, Mortaza; Davoodi, Nooshin; Toutounian, Faezeh