Mathematical Modeling of Tropical Cyclones on the Basis of Wind Trajectories
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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.
Keywords:tropical cyclone wind trajectories air equations of motion steam condensation finite difference method
We are grateful to Prof. O. Díaz Rodríguez from the Institute of Meteorology, Habana (Cuba) for elucidating the physical aspects of tropical cyclones and to Dr. D. Remaoun Bourega from the Science and Technology University, Oran (Algerie) for help in numerical computations. We are also grateful to S.L. Skorokhodov from the Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,” Russian Academy of Sciences, Moscow for his help in preparing the text of the paper.
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