Farzana Hussain - Assistant Professor Department of Mathematics Shahjalal University of Science and Technology, Sylhet -۳۱۱۴, Bangladesh Bangladesh Assistant Professor, Department of Mathematics, Shahjalal University of Science and Technology, Sylhet -۳۱۱۴,

Severe Tropical Cyclones associated with surges frequently hits the coastal region of Bangladesh. For a reliable hydrodynamic model to simulate the severity of such cyclones, it is necessary to incorporate the meteorological and hydrological inputs properly. In order to incorporate the coastlines and the island boundaries properly in the numerical scheme a very fine grid resolution along the coastal belts is necessary. Consideration of very fine resolution involves more memory, CPU time in the solution process and invites problem of complexity in the model or numerical instability.  In this study we use the boundary-fitted curvilinear grids where the complete boundary of the analysis area and each Island are represented by four curves and they are defined by four functions.  Using appropriate transformations of independent coordinates, the curvilinear physical domains are transformed to a square one and also each island boundary transforms to a rectangle within this square domain. The vertically integrated shallow water equations are transformed to the new space domain and then the regular explicit finite difference scheme is used to solve the shallow water equations, where the problem domain is divided into ۱۰۰× ۱۲۹ grid points.  The model is applied to compute the water levels due to astronomical tide and surges associated with Cyclone Sidr (۲۰۰۷) and Cyclone Aila (۲۰۰۹) that hit the coast of Bangladesh.  The computed results along the coastal belt of Bangladesh are found to be reasonably accurate.

Cyclone Sidr, Cyclone Aila, Tropical Storms, Surge, Shallow water equations, Transformation of Coordinates, Bay of Bengal