Application a 2-d scheme in solving tidal waves

Abstract

This paper  presents  a numerical   scheme, based on finite diference discretizations, used for the approximate solution of the full 2D shallow water equations. The
numerical scheme considers special treatment for the convective accelerations.

The validation of the numerical  scheme and the developed computer program is done by comparing the numerical solution to the analytical solution of the linearized original equations developed for a rectangular bay. To show the potential of the model, this paper  also presents  a numerical solution for a case in which some obstacles are placed in the bay.