Internal Wave Maker for Navier-Stokes Equations in a Three-Dimensional Numerical Model

Abstract

Recently, numerical simulations of water surface waves using the Navier-Stokes equations models have been increased since those models are well known as one of the numerical models capable of overcoming the limitations of nonlinearity, dispersion and wave breaking. For the Navier-Stokes equations model, an internal wave maker using the mass source function has been employed to generate various types of waves. However, the method has been applied to vertically two-dimensional numerical models and has not been expanded to three dimensions yet. In this study, the internal wave maker for the Navier-Stokes equations is employed to generate target waves in the three-dimensional numerical wave tank, NEWTANK. The model is first verified by applying to simple numerical tests in two dimensions. The model is then applied to predict wave transformation on a variable bathymetry in two dimensions and expanded to three dimensions. Numerical results are compared with available laboratory measurements and flow characteristics are analyzed in detail.