Research Article
Jul 1978
Convergence of Four-Point Implicit Water Wave Models
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VIEW THE REPLYAuthors: Victor Miguel Ponce, M.ASCE, Daryl B. Simons, F.ASCE, and Horst IndlekoferAuthor Affiliations
Publication: Journal of the Hydraulics Division
Volume 104, Issue 7
Abstract
A comprehensive theoretical treatment of the convergence of the four-point implicit numerical model of shallow water waves is presented. The propagation celerity and attenuation factor of the numerical analog are derived, and convergence is tested by establishing the ratios of attenuation and translation given by the numerical and analytical solutions. Convergence is shown to be a function of the Froude number, the dimensionless wave number, the Courant number, the spatial resolution and the weighting factor of the scheme.
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Published In
Journal of the Hydraulics Division
Volume 104 • Issue 7 • July 1978
Pages: 947 - 958
Copyright
© 1978 American Society of Civil Engineers.
History
Published in print: Jul 1978
Published online: Feb 3, 2021
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Victor Miguel Ponce, M.ASCE
Asst. Prof. of Civ. Engrg., Colorado State Univ., Fort Collins, Colo
Daryl B. Simons, F.ASCE
Assoc. Dean for Research, Coll. of Engrg. and Prof. of Civ. Engrg., Colorado State Univ., Fort Collins, Colo
Horst Indlekofer
Engr.-in-Charge, Inst. for Water Resources Development, Tech. Univ., Aachen, West Germany; formerly, Visiting Prof., Colorado State Univ., Fort Collins, Colo
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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.