Numerical Simulation of Wave Motions in a Channel of Constant Depth

Abstract

In the present work, we study the accuracy of description of wave motions with the help of a numerical model for a basin of simple geometry (a channel of constant depth). To specify initial and boundary conditions and perform the comparison with the results of numerical simulations, we use analytic solutions of the differential and finite-difference problems. We consider two types of water: homogeneous and stratified. The procedure of numerical integration is carried out for a period equal to several dozens of wave periods. In the case of application of the analytic solution of the discrete problem, the accuracy of the numerical solution is very high for the entire period of computations. It is shown that the proposed numerical model satisfactorily describes wave motions and can be used for the description of geophysical processes in the regions of the World Ocean where the role played by the wave motions is significant.