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Numerical approximation of the 3D hydrostatic Navier–Stokes system with free surface

Numerical approximation of the 3D hydrostatic Navier–Stokes system with free surface

In this paper we propose a stable and robust strategy to approximate the 3D incompressible hydrostatic Euler and Navier–Stokes systems with free surface. Compared to shallow water approximation of the Navier–Stokes system, the idea is to use a Galerkin type approximation of the velocity field with piecewise constant basis functions …