Research Article
Apr 1979
Two-Dimensional Shallow Water-Wave Models
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VIEW THE REPLYPublication: Journal of the Engineering Mechanics Division
Volume 105, Issue 2
Abstract
For two-dimensional unsteady flow in shallow water, real characteristic surfaces exist. Their envelope is a quadric conoid, whose curvilinear rays serve as paths for the transmission of information in t-x-y space. The original equations of flow can be reduced along these rays, called bicharacteristics to equations containing differentiation in one less direction. Simplified numerical methods can be developed, utilizing this property of the equations, that are superior to both finite difference and finite element techniques. Three numerical characteristic networks of varying complexity are tested for accuracy and stability with flow problems that involve both subcritical and supercritical flow. The solution proceeds in specified time intervals by extending the bicharacteristics backwards until they intersect a plane on which the flow conditions can be found by interpolation from known data. Finally, the most accurate numerical network is applied to the computation of a highly two-dimensional wave propagating on a dry bed.
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Published In
Journal of the Engineering Mechanics Division
Volume 105 • Issue 2 • April 1979
Pages: 317 - 334
Copyright
© 1979 American Society of Civil Engineers.
History
Published in print: Apr 1979
Published online: Feb 3, 2021
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Authors
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Nikolaos D. Katopodes, AM.ASCE
Asst. Prof. of Water Resources and Civ. Engrg., Univ. of Louisville, Louisville, Ky.
Theodor Strelkoff, M.ASCE
Prof. of Hydr. Engrg., Univ. of California at Davis, Davis, Calif.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.