Special Session 63: 

A mathematicam model of the evolution of a typhoon based on the trajectories of the wind

Hisao H Fujita Yashima
Ecole Normale Sup`erieure Assia Djebar de Constantine
Algerie
Co-Author(s):    Hisao Fujita Yashima, Meriem Aouaouda
Abstract:
In this talk a model of the evolution of a typhoon is considered and studied numerically. We consider the motion of the air in a cylindrical domain with axial symmetry. Neglecting the viscosity and the heat-conductivity, we transform the equations in those on the trajectories of the air. On each trajectory the process of condensation of water vapor in ascending flow of wet air and the consequent heating by the latent heat are described. The force pushing upwards the air is determined directly by the relation with the pressure in the external region. The result of numerical computation shows the increase of the wind due to the latent heat of the condensation and the stabilization due to the accumulation of liquid or solid water in the air, which brakes down the ascending motion of the air.