A 2D Model for 3D Periodic Deep-Water Waves

The paper is devoted to further development of an accelerated method for simulation the two-dimensional surface waves at infinite depth with use a model derived simplifications three-dimensional equations potential periodic deep-water waves. A 3D full wave (FWM) based on numerical solution Poisson equation written in surface-fitted coordinates nonlinear component velocity potential. For sufficient vertical resolution used equation, provides very high accuracy. simplified 2D free surface. This exact contains both first and second derivatives potential, i.e., it unclosed. analysis accurate solutions obtained shows that those variables are linearly connected each other. property allows us obtain derivative (i.e., surface), which gives closed formulation problem previously developed scheme was not universal since parameters closure had be adjusted specific setting. current offers new closing integral field. equations, as well parameters, were chosen basis multiple experiments selection suitable scheme. That why given can called Heuristic Wave Model (HWM). connection between precise; hence, whole cannot exact. However, able reproduce different statistical characteristics field good main advantage its performance exceeding by about two decimal orders.