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Numerical boundary conditions for globally mass conservative methods to solve the shallow‐water equations and applied to river flow
Author(s) -
Burguete J.,
GarcíaNavarro P.,
Murillo J.
Publication year - 2006
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.1127
Subject(s) - discretization , boundary (topology) , shallow water equations , numerical analysis , flow (mathematics) , mathematics , conservation of mass , boundary value problem , mathematical optimization , computer science , mechanics , mathematical analysis , geometry , physics
A revision of some well‐known discretization techniques for the numerical boundary conditions in 1D shallow‐water flow models is presented. More recent options are also considered in the search for a fully conservative technique that is able to preserve the good properties of a conservative scheme used for the interior points. Two conservative numerical schemes are used as representatives of the families of explicit and implicit numerical methods. The implementation of the different boundary options to these schemes is compared by means of the simulation of several test cases with exact solution. The schemes with the global conservation boundary discretization are applied to the simulation of a real river flood wave leading to very satisfactory results. Copyright © 2005 John Wiley & Sons, Ltd.