Aspects of the spectral-element-based simulation of a model internal swash zone

We examine the design and implementation of a numerically simulated internal swash zone in a two-layer continuous stratification, in two-dimensions. The domain is chosen sufficiently long compared to the wavelength to allow the wave to develop before impacting the downstream sloping boundary. A high-accuracy/resolution spectral-element-method incompressible flow solver is used. A first topic of focus is the implementation of wave-generating boundary conditions at the deep-water boundary. We also investigate subtleties of the implementation the zero-flux boundary condition for the density on the downstream sloping boundary. In particular, challenges that may emerge due to straining of the near-bed isopycnal field by incident finite amplitude periodic internal waves are considered. We will study the interaction of the incident created wave with the sloping boundary, namely the interactions with the reflected wave and any subsequent waves resulting from the periodic deep-water forcing. We will also discuss the implications of our findings for future three-dimensional simulations of internal-wave-induced transition and turbulence on the deformed wall.