Development of a Regional Numerical Tidal Forecast Model Along the Coast of Bangladesh and Its Associated Tidal Height Estimation

Abstract

A two-dimensional shallow water equation in the Cartesian coordinate model is developed to estimate the tide along the coast of Bangladesh. The model was developed and discretized by a finite difference method. The model equation was discretized by the Finite Difference Method (FDM) considering the forwarding of time and central in space. In our model, the coastal boundaries, islands, and some small rivers are approximated by an exact stair step representation and solved by a conditional stable semi-Implicit Finite Difference Technique in a Structured Arakawa C-Grid system. Ignoring the wind stress created stable tidal conditions along the southern open boundary of the ocean which was the astronomical M2 component. The desired results are obtained after running the model for a fixed period of time since the steady state. The model results give a reasonable agreement with the observed data. The root means square error of the mean also shows good reasonable agreement.