An efficient approach to forecast water levels owing to the interaction of tide and surge associated with a storm along the coast of Bangladesh

Innovative formulation of new algorithm(s) is still a great challenge in scientific research community for solving any real time non-linear problems. Based on the above notion, in this study, the method of lines (MOL) in addition with the newly introduced embedded RKARMS(4,4) technique is adapted for numerical prediction of water levels owing to the interaction of tide and surge associated with a cyclone. To perform the desired task, initially a transformation is carried out to convert the vertically integrated shallow water equations in Cartesian coordinates with boundary conditions into ordinary differential equations (ODEs) of initial valued, which are solved by the RKARMS(4,4) technique to attain results. The model is specifically designed for the coast of Bangladesh. To incorporate coastal complexities along the region of interest with minimum cost, one way nested models are used. A stable tidal condition is generated applying the M2 tidal constituent along the southern open boundary of the parent model. The newly designed model is applied to compute water levels due to combined effect of tide and surge associated with the recent severe storm AILA along the coast of Bangladesh. Simulated results show the new approach performs well and ensures conformity with observation.