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Implicit high-resolution methods for modelling one-dimensional open channel flow

Delis Anargyros, Skeels C. P., Ryrie S. C.

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URI: http://purl.tuc.gr/dl/dias/52C82D55-68E5-4FCD-998A-8B7006FCC400
Year 2015
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation A. I. Delis, C. P. Skeels and S. C. Ryrie, "Implicit high-resolution methods for modelling one-dimensional open channel flow," J. Hydraulic Res., vol. 38, no. 5, pp. 369-382, 2000. doi:10.1080/00221680009498318 https://doi.org/10.1080/00221680209499897
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Summary

Three implicit high-resolution total variation diminishing (TVD) schemes are presented for solving the Saint-Venant equations. The applicability,performance and validity of these methods are investigated. Recently created benchmark solutions are reproduced for a wide range of cases, whichinclude friction, nonuniform bed slopes, transitions between subcritical and supercritical flow, nonprismatic cross sections and hydraulic jumps. Thetests produce satisfactory results without resorting to excessively fine grids. All the methods also produce satisfactory results for an idealized dambreakproblem.

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