Monday, 12 January 2004
An ODE Approach To Modelling Effect Of Coriolis Force On Hurricane Trajectories
Hall 4AB
Point vortices are often used in dynamical modelling of atmospheric flows and are
known analogues for coherent vortices like hurricanes and tropical cyclones,
gulf stream eddies and dipolar vortex structures representing jet streaks.
Evolution of concentrated regions of vorticity on the surface of Earth requires
consideration of effects of curvature and rotation on such a motion.
Coriolis force can be superimposed on the equations of motion of n point
vortices moving on a sphere. The resulting model incorporating the coriolis effect
then causes the tropical storm to curve to the north and then towards east
and gives dynamical insight into the atmospheric problem using high-dimensional
theory of differential equations. Inspite of such a simplified model using
discretization of the flow into vortices, actual hurricane trajectories are
reproduced fairly accurately and will be presented in this paper.
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