A Consistent Nonlinear Mild-Slope Equation Model

Coast Eng. 2021 Dec;170:104006. doi: 10.1016/j.coastaleng.2021.104006. Epub 2021 Sep 6.


A new nonlinear frequency-domain model based on the mild-slope equation is outlined. The model is an enhancement over previous work in that a closer correspondence between scaling of nonlinearity and horizontal variation of bathymetry is made relative to earlier models. This results in additional terms in the nonlinear summation terms of the model, as amplitude gradient terms are required in order to formulate a consistent model. From the resulting elliptic model, a parabolic approximation is developed in order to efficiently model the equations. Comparisons between the present model, previously-formulated models, and experimental data show that the present model does evidence improvement in performance over previous models.

Keywords: Frequency-domain model; Mild-slope equation; Nonlinear waves; Surface gravity waves; Wave modeling; Wave transformation.