An explicit residual based approach for shallow water flows - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 2013

An explicit residual based approach for shallow water flows

Abstract

We describe a fully explicit residual based construction to discretize the shallow water equations with friction on unstructured grids. The approach is by construction exactly well balanced for al the simple known steady equilibria, and it shows a super-covergent behavior for smooth non-trivial equilibria, as the implicit residual schemes considered in (Ricchiuto, J.Sci.Comp. 48,2011). Moreover, by adapting the wetting drying technique discussed in (Ricchiuto and Bolermann, JCP 228, 2009) the scheme is able to preserve the non-negativity of the depth and to handle very well the runup and flooding of complex bathymetries. The approach is analyzed and tested thoroughly. The numerical results on a large variety of problems show the interest in the approach.
On considere un schema explicite et residual based pour la discretisation des equations shallow water sur maillages non-structures. L'approche est par construction exactement well balanced pour tous les équilibres plus simples connus en littérature, mais il montre une super-convergence pour certains équilibres non-triviaux, comme les schemas implicites consideres en (Ricchiuto, J.Sci.Comp. 48,2011). En adaptant la strategie de wetting/drying présentée en (Ricchiuto and Bolermann, JCP 228, 2009) le schema permet en plus de garantir la non-négativite de la profondeur et de simuler runup et inondation de bathymetries complexes. La methode est analysée et testée sur un nombre important de problèmes. Les résultats montrent l'intérêt de l'approche
Fichier principal
Vignette du fichier
rr8350.pdf (5.5 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00855645 , version 1 (29-08-2013)

Identifiers

  • HAL Id : hal-00855645 , version 1

Cite

Mario Ricchiuto. An explicit residual based approach for shallow water flows. [Research Report] RR-8350, INRIA. 2013. ⟨hal-00855645⟩
425 View
300 Download

Share

Gmail Facebook X LinkedIn More