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Journal Articles Communications in Mathematical Sciences Year : 2013

Analytical solutions for the free surface hydrostatic Euler equations

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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Dates and versions

hal-00751685 , version 1 (14-11-2012)

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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, 2013, 11 (4), pp.993 - 1010. ⟨10.4310/CMS.2013.v11.n4.a5⟩. ⟨hal-00751685⟩
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