The theory and numerical methodology is developed whereby the dynamic processes associated with large-scale wave motions in the context of a global flood can be delineated. After a brief review of wave mechanics, the available analytical results are given in synopsis. The basic computer algorithm, SOLA-SURF, is then described and utilized to produce solutions to a series of problems considered to be germane to Genesis Flood explanations. The results of these simulations are presented in terms of the velocity fields and the temporal sequencing of the free-surface configurations. Interpreations of the results leads to inferences as to development of sedimentary strata left by the passing of wave motions.