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Improving simple explicit methods for unsteady open channel and river flow

AuthorsBurguete Tolosa, Javier ; Burguete Tolosa, Javier ; García-Navarro, Pilar
Keywordsexplicit methods
Lax-Friedrichs scheme
Lax-Wendroff scheme
river flow
one-dimensional shallow water flow
Issue DateApr-2004
PublisherJohn Wiley & Sons
CitationInternational Journal for Numerical Methods in Fluids 45 (2): 125 - 156 (2004)
AbstractA rigorous study of the explicit Lax-Friedrichs scheme for its application to one-dimensional shallow water flows is presented. The deficiencies of this method are identified and the way to overcome them are presented. It is compared to the explicit first order upwind scheme and to the explicit second order Lax-Wendroff scheme by means of the simulation of several test cases with exact solution. All three schemes in their best balanced version are applied to the simulation of a real river flood wave leading to very satisfactory results.
Description38 Pag., 14 Fig., 1 Appendix. The definitive version is available at: http://www3.interscience.wiley.com/
Publisher version (URL)http://dx.doi.org/10.1002/fld.619
Appears in Collections:(EEAD) Artículos
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