English   español  
Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/96577
Share/Impact:
Statistics
logo share SHARE logo core CORE   Add this article to your Mendeley library MendeleyBASE

Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL
Exportar a otros formatos:
Title

Time step restrictions for well-balanced shallow water solutions in non-zero velocity steady states

AuthorsMurillo, J.; García-Navarro, Pilar; Burguete Tolosa, Javier
KeywordsWell-balanced solution
Unstructured grids
Numerical stability
Implicit discretization
Friction term
Finite volumes
Explicit discretization
Issue Date2009
PublisherJohn Wiley & Sons
CitationMurillo J, García-Navarro P, Burguete J.Time step restrictions for well-balanced shallow water solutions in non-zero velocity steady states. International Journal for Numerical Methods in Fluids 60 (12): 1351-1377 (2009)
AbstractNumerical models based on the conservative formulation of the shallow water equations in finite volumes have recently paid special attention to the convenience of a unified discretization of bed slope source terms and pressure momentum fluxes in order to ensure a correct representation of both in steady states. In cases of steady shallow water flow with non-zero velocity, the discrete balance must include the friction term and the good equilibrium of the discrete solution must be revisited. Besides, there is the question of stability. The presence of relatively large friction terms reduces considerably the stability region of the explicit schemes (with either separate or unified discretization). Implicit formulations strongly help to relax the friction related stability restrictions but are only feasible in the context of separated discretization. Therefore, a strategy to blend both approaches (unified explicit and separated implicit) is presented that ensures both a perfect balance in steady state and numerical stability in unsteady cases in the presence of friction terms.
Publisher version (URL)http://dx.doi.org/10.1002/fld.1939
URIhttp://hdl.handle.net/10261/96577
DOI10.1002/fld.1939
Identifiersdoi: 10.1002/fld.1939
issn: 0271-2091
Appears in Collections:(EEAD) Artículos
Files in This Item:
File Description SizeFormat 
accesoRestringido.pdf15,38 kBAdobe PDFThumbnail
View/Open
Show full item record
Review this work
 

Related articles:


WARNING: Items in Digital.CSIC are protected by copyright, with all rights reserved, unless otherwise indicated.