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math.NA2017★ 1 cited
Kinetic entropy for the layer-averaged hydrostatic Navier-Stokes equations
Emmanuel Audusse, Marie-Odile Bristeau, Jacques Sainte-Marie +1
We are interested in the numerical approximation of the hydrostatic free surface incompressible Navier-Stokes equations. By using a layer-averaged version of the equations, we are…
math.NA2017
Numerical approximation of the 3d hydrostatic Navier-Stokes system with free surface
S. Allgeyer, Marie-Odile Bristeau, D. Froger +5
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…