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Improving simple explicit methods for unsteady open channel and river flow

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2004 English Publisher:WileyJournal:International Journal for Numerical Methods in Fluids, volume 45, pages 125-156 (issn: 0271-2091, eissn: 1097-0363,

Authors: Burguete Tolosa, Javier; Burguete Tolosa, Javier; García-Navarro, Pilar;

doi: 10.1002/fld.619

handle: 10261/24197

Improving simple explicit methods for unsteady open channel and river flow

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Abstract

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. Copyright © 2004 John Wiley & Sons, Ltd.

Related Organizations

University of Zaragoza
Spain

Keywords

one-dimensional shallow water flow, Hydrology, hydrography, oceanography, Lax-Friedrichs scheme, Lax-Wendroff scheme, river flow, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, explicit methods, Finite difference methods applied to problems in fluid mechanics

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