HAL : hal-00694195, version 1

arXiv : 1205.1105

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v1 (05-05-2012)

v2 (27-09-2012)

SWASHES: A library for benchmarking in hydraulics / SWASHES : une bibliothèque de bancs d'essai en hydraulique

Olivier Delestre 1, Carine Lucas 2, Pierre-Antoine Ksinant 2, 3, Frédéric Darboux 3, Christian Laguerre 2, Francois James 2, Stéphane Cordier 2

(29/04/2012)

Numerous codes are being developed to solve Shallow Water equations. Because they are used in hydraulics and environmental studies, their capability to simulate properly flow dynamics is essential to guarantee infrastructure and human safety. Hence, validating these codes and the associated numerical methods is an important issue. Analytic solutions would be excellent benchmarks for these issues. However, analytic solutions to Shallow Water equations are rare. Moreover, they have been published on an individual basis over a period of more than five decades, making them scattered through the literature. In this paper, a significant number of analytic solutions to the Shallow Water equations is described in a unified formalism. They encompass a wide variety of flow conditions (supercritical, subcritical, shock ...), in 1 or 2 space dimensions, with or without rain and soil friction, for transitory flow or steady state. An original feature is that the corresponding source codes are made freely available to the community (http://www.univ-orleans.fr/mapmo/soft/SWASHES), so that users of Shallow Water based models can easily find an adaptable benchmark library to validate their numerical methods.

1 :	Laboratoire Jean Alexandre Dieudonné (JAD)
	CNRS : UMR6621 – Université Nice Sophia Antipolis [UNS]
2 :	Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO)
	Université d'Orléans – CNRS : UMR7349
3 :	Unité de recherche Science du Sol (USS)
	Institut national de la recherche agronomique (INRA) : UR0272

Domaine

:

Mathématiques/Analyse numérique Mathématiques/Equations aux dérivées partielles

Mots Clés : Shallow Water equation – Saint-Venant system – analytic solutions – benchmarking – validation of numerical methods – steady-state flow – transitory flow – source terms – backwater curves – Manning – Strickler – Darcy-Weisbach – Chézy – rain – friction – diffusion

hal-00694195, version 1

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Contributeur : Olivier Delestre <>

Soumis le : Jeudi 3 Mai 2012, 17:16:20

Dernière modification le : Samedi 5 Mai 2012, 08:03:56