Title : ( A macroscopic second order model for air traffic flow )
Authors: Mahboubeh Houshyar Sadeghian , Mortaza Gachpazan , nooshin davoodi , Faezeh Toutounian Mashhad ,
Full TextAbstract
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
, Air traffic flow, macroscopic model, LWR model, Newton’s second law, upwind scheme
@article{paperid:1079553,
author = {Houshyar Sadeghian, Mahboubeh and Gachpazan, Mortaza and Davoodi, Nooshin and Toutounian Mashhad, Faezeh},
title = {A macroscopic second order model for air traffic flow},
journal = {Journal of Mathematical Modeling},
year = {2020},
volume = {8},
number = {1},
month = {February},
issn = {2345-394X},
pages = {41--54},
numpages = {13},
keywords = {Air traffic flow; macroscopic model; LWR model; Newton’s second law; upwind scheme},
}
%0 Journal Article
%T A macroscopic second order model for air traffic flow
%A Houshyar Sadeghian, Mahboubeh
%A Gachpazan, Mortaza
%A Davoodi, Nooshin
%A Toutounian Mashhad, Faezeh
%J Journal of Mathematical Modeling
%@ 2345-394X
%D 2020
