Abstract

The advantages and incompleteness of 3-D direct (phase-resolving) wind wave model (named as TriDWave model) are discussed. The refinement of a two-dimensional formulation for the three-dimensional phase-resolving model of potential waves is proposed. Both models are used to simulate development of the wave field with the same initial conditions over one hundred thousand time steps. The applicability of a 2-D approach is confirmed by comparing the evolution of some integral characteristics and the probability of the elevation. An accelerated model runs approximately 12-15 times faster than the full one. Both models are intended for studying statistical quasi-stationary or non-stationary regime of multimode wave field. The full model can be used for reproduction of periodic wave processes of any complexity, when a single-valued surface is preserved.

Keywords:Phase-resolving modeling; 2-D formulation for a 3-D problem; Evolution of integral characteristics; Wave height probability