An energy-consistent depth-averaged Euler system: Derivation and properties
An energy-consistent depth-averaged Euler system: Derivation and properties
In this paper, we present an original derivation process of a non-hydrostatic shallow water-type model which aims at approximating the incompressible Euler and Navier-Stokes systems with free surface. The closure relations are obtained by a minimal energy constraint instead of an asymptotic expansion. The model slightly differs from the well-known …