A Simplified Consistent Nonlinear Mild-Slope Equation Model for Random Waves Propagation and Dissipation

Coast Eng. 2024 Apr:189:104449. doi: 10.1016/j.coastaleng.2023.104449. Epub 2023 Dec 21.

Abstract

The model for ocean surface wave propagation can be formulated either in the form of deterministic models or stochastic models. The stochastic models appear to be particularly attractive in the global domain due to their computational efficiency. However, in the nearshore region, the phase becomes highly correlated, and the phase information therefore becomes critical. Therefore, a simplified consistent nonlinear mild-slope equation model has been developed in order to take advantage of the deterministic model for handling phase information, as well as the stochastic model for numerical simplicity. We demonstrate the advanced performance of the present model for random waves by comparing it with laboratory data and previous models.

Keywords: Deterministic models; Nonlinear interactions; Phase-resolved models; Random waves; Stochastic models; Wave breaking.