Multilayer-HySEA

The Multilayer-HySEA model implements one of the multi-layer non-hydrostatic models of the family introduced and described in Fernandez-Nieto et al (2016). The governing equations, obtained by a process of depth-averaging, correspond to a semi-discretization with respect to the vertical variable of the Euler equations. Total pressure is decomposed into a sum of hydrostatic and non-hydrostatic pressures. In this process, vertical velocities as well as non-hydrostatic pressures are assumed to have a piecewise linear vertical profile while the horizontal velocities are assumed to have a constant vertical profile. The proposed model admits an exact energy balance and, when the number of layers increases, the linear dispersion relation of the linear model converges to the same of Airy's theory.