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2-D Depth Averaged Modeling of Channel Discharge into a Pool Formed by Sudden Expansion and Contraction

Author(s): Tawatchai Tingsanchali; Le Van Duc

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Keywords: Two-dimensional Flow; Depth Average; Numerical Model; Channel; Expansion; Contraction

Abstract: Modeling of flow in channel transitions is complicated because of the existence of various physical factors and variability of flow. Previous researchers such as Ponce and Yabusaki (1980) and Jimenez (1987) proposed several models to simulate these kinds of flow but still limited in some particular cases due to their non-generalization. In this study, an attempt has been done to introduce a generalized two-dimensional depth averaging flow model to simulate both subcritical and supercritical flow. The Boussinesq equations were used in combination with the effective stress term. The explicit finite difference scheme consisting of four steps namely: Predictor, Corrector, MacC ormack and spatial velocity averaging was developed to solve the governing equations. Besides, the combination between coordinate transformation technique and perfect slip wall boundary was used to make the model flexibly applicable to varied sidewall shapes. The model verification showed that it can be applied to various kinds of flow pattern. In this paper, a case study of model verification for a channel discharges into a pool formed by consecutive sudden expansion and contraction is presented. The results of model verification for flow circulation pattern, depth and velocity are acceptable compared to previous laboratory experimental data.

DOI:

Year: 1999

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