“…Numerical Scheme. The numerical solution of Equations ( 2)-(4) was developed by Herrera et al [2,24] using a staggered grid method in the grid wave height is calculated at the solid grid points, labelled (i -1, j), (i, j), (i + 1, j), (i, j -1), and (i, j + 1), and the velocities are calculated at the open grid points, labelled (i -1/2, j), (i + 1/2, j), j + 1/2, i), and (j -1/2, i). Specifically, x is calculated at points (i -1/2, j) and (i + 1/2, j) and y is calculated at different points (j + 1/2, i) and (j -1/2, i).…”