Numerical calculation of standing waves in water of arbitrary uniform depth

Abstract

A numerical scheme is presented for the computation of time and space periodic standing waves of finite amplitude in water of arbitrary uniform depth. The dynamic and kinematic boundary conditions are used in their exact nonlinear form. The numerical procedure involves series truncation. Accurate solutions are presented for various values of the amplitude and of the depth. It is found that for some values of the depth, the frequency is not a monotonic function of the amplitude. © 1981 American Institute of Physics.