Testing of the accelerated two-dimensional model of surface potential waves

Abstract

The paper focuses on the validation of the accelerated method for simulation of 2D-surface waves with a use of 2D-model derived by simplifications of 3D-equations for potential periodic waves at infinite depth. The separation of the velocity potential into nonlinear and linear components is used. A derivation of the equation for the total kinetic energy calculation in the surface-following coordinate system is given for the first time. The spectral characteristics of the wave field calculated with the accelerated model are compared with the results from the equivalent full 3D-model. The 3D-model is based on the numerical solution of the 3D-Poisson equation written in surface coordinates for the nonlinear component of the velocity potential. The similarity of the results obtained from the two versions of the model confirms that the new accelerated model can be used to quickly reproduce the wave field dynamics and thereby increase a speed of calculations by about two orders.