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TVD schemes for open channel flow

✍ Scribed by A. I. Delis; C. P. Skeels

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 254 KB
Volume: 26
Category: Article
ISSN: 0271-2091
DOI: 10.1002/(sici)1097-0363(19980415)26:7<791::aid-fld688>3.0.co;2-n

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✦ Synopsis

The Saint Venant equations for modelling flow in open channels are solved in this paper, using a variety of total variation diminishing (TVD) schemes. The performance of second-and third-order-accurate TVD schemes is investigated for the computation of free-surface flows, in predicting dam-breaks and extreme flow conditions created by the river bed topography. Convergence of the schemes is quantified by comparing error norms between subsequent iterations. Automatically calculated time steps and entropy corrections allow high CFL numbers and smooth transition between different conditions. In order to compare different approaches with TVD schemes, the most accurate of each type was chosen. All four schemes chosen proved acceptably accurate. However, there are important differences between the schemes in the occurrence of clipping, overshooting and oscillating behaviour and in the highest CFL numbers allowed by a scheme. These variations in behaviour stem from the different orders and inherent properties of the four schemes.

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