Analytical solutions for the free surface hydrostatic Euler equations

Authors :: Marie-Odile Bristeau
Jacques Sainte-Marie
Anne-Céline Boulanger
Numerical Analysis, Geophysics and Ecology (ANGE)
Laboratoire Jacques-Louis Lions (LJLL)
Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)-Inria Paris-Rocquencourt
Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)
Source :: Communications in Mathematical Sciences, Communications in Mathematical Sciences, 2013, 11 (4), pp.993-1010. ⟨10.4310/CMS.2013.v11.n4.a5⟩, Communications in Mathematical Sciences, International Press, 2013, 11 (4), pp.993-1010. ⟨10.4310/CMS.2013.v11.n4.a5⟩
Publication Year :: 2013
Publisher :: International Press of Boston, 2013.
Abstract: International audience; In this paper we propose a large set of analytical solutions (FRESH-ASSESS) for the hydrostatic incompressible Euler system in 2d and 3d. These solutions mainly concern free surface flows but partially free surface flows are also considered. These analytical solutions can be especially useful for the validation of numerical schemes.

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