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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 9, Pages 1554–1569
DOI: https://doi.org/10.1134/S0044466919090047 (Mi zvmmf10954) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical modeling of tropical cyclones on the basis of wind trajectories

M. Aouaoudaa, A. Ayadia, H. Fujita Yashimab

a Université d'Oum El Bouaghi, Oum, Algeria
b École Normale Supérieure Assia Diebar de Constantine, Constantine, Algeria
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DOI: https://doi.org/10.1134/S0044466919090047
Abstract: A mathematical model of the development of a tropical cyclone is considered. It consists of a family of equations obtained by transforming the equation of inviscid non-heat conductive gas (air) motion to the form of equations on wind trajectories in an axially symmetric cylindrical domain. The numerical solution of these equations shows the increase of the wind velocity in accordance with the steam condensation and air warming; later, the velocity becomes stable as the liquid or small pieces of ice accumulate in the air and the friction of water against air decelerates the air updraft.
Key words: tropical cyclone, wind trajectories, air equations of motion, steam condensation, finite difference method.
Received: 15.03.2019
Revised: 16.04.2019
Accepted: 15.05.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 9, Pages 1493–1507
DOI: https://doi.org/10.1134/S0965542519090045
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: M. Aouaouda, A. Ayadi, H. Fujita Yashima, “Mathematical modeling of tropical cyclones on the basis of wind trajectories”, Zh. Vychisl. Mat. Mat. Fiz., 59:9 (2019), 1554–1569; Comput. Math. Math. Phys., 59:9 (2019), 1493–1507
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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