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.
Hoshyar Sadeghian, M., Gachpazan, M., Davoodi, N., & Toutounian, F. (2020). A macroscopic second order model for air traffic flow. Journal of Mathematical Modeling, 8(1), 41-54. doi: 10.22124/jmm.2019.15035.1359
MLA
Mahboobeh Hoshyar Sadeghian; Mortaza Gachpazan; Nooshin Davoodi; Faezeh Toutounian. "A macroscopic second order model for air traffic flow". Journal of Mathematical Modeling, 8, 1, 2020, 41-54. doi: 10.22124/jmm.2019.15035.1359
HARVARD
Hoshyar Sadeghian, M., Gachpazan, M., Davoodi, N., Toutounian, F. (2020). 'A macroscopic second order model for air traffic flow', Journal of Mathematical Modeling, 8(1), pp. 41-54. doi: 10.22124/jmm.2019.15035.1359
VANCOUVER
Hoshyar Sadeghian, M., Gachpazan, M., Davoodi, N., Toutounian, F. A macroscopic second order model for air traffic flow. Journal of Mathematical Modeling, 2020; 8(1): 41-54. doi: 10.22124/jmm.2019.15035.1359
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