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Journal of Mathematical Modeling، جلد ۸، شماره ۱، صفحات ۴۱-۵۴
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| عنوان فارسی |
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| چکیده فارسی مقاله |
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| کلیدواژه‌های فارسی مقاله |
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| عنوان انگلیسی |
A macroscopic second order model for air traffic flow |
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| چکیده انگلیسی مقاله |
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. |
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| کلیدواژه‌های انگلیسی مقاله |
Air traffic flow, macroscopic model, LWR model, Newton&apos,s second law, upwind scheme |
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| نویسندگان مقاله |
Mahboobeh Hoshyar Sadeghian |
Department of Applied Mathematics, Faculty of Mathematical Science,
Ferdowsi University of Mashhad, Mashhad, Iran
Mortaza Gachpazan |
Department of Applied Mathematics, Faculty of Mathematical Science,
Ferdowsi University of Mashhad, Mashhad, Iran
Nooshin Davoodi |
Department of Applied Mathematics, Faculty of Mathematical Science,
Ferdowsi University of Mashhad, Mashhad, Iran
Faezeh Toutounian |
Department of Applied Mathematics, Faculty of Mathematical Science,
Ferdowsi University of Mashhad, Mashhad, Iran
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| نشانی اینترنتی |
https://jmm.guilan.ac.ir/article_3787_42fa54ff1bdc70c453d7c00632986042.pdf |
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| کد مقاله (doi) |
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| زبان مقاله منتشر شده |
en |
| موضوعات مقاله منتشر شده |
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| نوع مقاله منتشر شده |
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