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Analytical solutions for the free surface hydrostatic Euler equations

Anne-Céline Boulanger 1 Marie-Odile Bristeau 1 Jacques Sainte-Marie 1 
1 ANGE - Numerical Analysis, Geophysics and Ecology
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt
Abstract : 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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Anne-Céline Boulanger, Marie-Odile Bristeau, Jacques Sainte-Marie. Analytical solutions for the free surface hydrostatic Euler equations. Communications in Mathematical Sciences, International Press, 2013, 11 (4), pp.993 - 1010. ⟨10.4310/CMS.2013.v11.n4.a5⟩. ⟨hal-00751685⟩

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