Research Article
May 1976
Instability in Tidal Flow Computational Schemes
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VIEW THE REPLYAuthor: T. John WeareAuthor Affiliations
Publication: Journal of the Hydraulics Division
Volume 102, Issue 5
Abstract
A careful analysis of the multioperational finite difference schemes proposed by Leendertse reveals a nonlinear numerical instability. This instability arises from the imperfect time centering of certain nonlinear terms in the shallow water equations. For many applications, the natural damping due to the friction term controls or masks the instability. The results of the stability analysis suggest that the instability becomes uncontrollable when a small grid spacing is used. These conclusions are confirmed by numerical experiment.
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Published In
Journal of the Hydraulics Division
Volume 102 • Issue 5 • May 1976
Pages: 569 - 580
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© 1976 American Society of Civil Engineers.
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Published in print: May 1976
Published online: Feb 3, 2021
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T. John Weare
Prin. Scientific Officer, Hydr. Research Station, Wallingford, United Kingdom
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