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Analytic Benchmark Solutions for Open-Channel Flows

MacDonald, I., Baines, M., Nichols, N. ORCID: and Samuels, P. G. (1997) Analytic Benchmark Solutions for Open-Channel Flows. Journal of Hydraulic Engineering, 123 (11). p. 1041. ISSN 0733-9429

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To link to this item DOI: 10.1061/(ASCE)0733-9429(1997)123:11(1041)


An important test of the quality of a computational model is its ability to reproduce standard test cases or benchmarks. For steady open–channel flow based on the Saint Venant equations some benchmarks exist for simple geometries from the work of Bresse, Bakhmeteff and Chow but these are tabulated in the form of standard integrals. This paper provides benchmark solutions for a wider range of cases, which may have a nonprismatic cross section, nonuniform bed slope, and transitions between subcritical and supercritical flow. This makes it possible to assess the underlying quality of computational algorithms in more difficult cases, including those with hydraulic jumps. Several new test cases are given in detail and the performance of a commercial steady flow package is evaluated against two of them. The test cases may also be used as benchmarks for both steady flow models and unsteady flow models in the steady limit.

Item Type:Article
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Meteorology
Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:27474
Publisher:American Society of Civil Engineers

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