Premium
Improving simple explicit methods for unsteady open channel and river flow
Author(s) -
Burguete J.,
GarcíaNavarro P.
Publication year - 2004
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.619
Subject(s) - simple (philosophy) , upwind scheme , scheme (mathematics) , mathematics , channel (broadcasting) , open channel flow , flow (mathematics) , unsteady flow , shallow water equations , calculus (dental) , computer science , mechanics , mathematical analysis , geometry , telecommunications , physics , medicine , philosophy , dentistry , epistemology , discretization
A 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.