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You are here : eLibrary : IAHR World Congress Proceedings : 35th IAHR Congress - Chengdu (2013) : THEME 7 - WATER RESOURCES AND HYDROINFORMATICS : A Well-balanced Numerical Model for Flows over Steep Slopes
A Well-balanced Numerical Model for Flows over Steep Slopes
Author : Penghui Hu, Zhixian Cao, Wei Huang and Gareth Pender
Traditional numerical models for shallow flows are mostly based on the Saint-Venant equations derived for horizontal or gentle slopes, which however are not generally justified for flows over steep slopes. This paper presents a modified shallow water hydrodynamic model that is generally applicable for flows over arbitrary slopes. It is based on the well-balanced shallow water equations in a topography-linked coordinate system, which fully incorporate the effects of the bottom slope. The governing equations are solved using a second-order accurate Godunov-type finite volume method in conjunction with the HLLC approximate Riemann solver. It is applied to model dam-break flow and roll waves over inclined and fixed beds. In steep-slope cases, the results of the modified model agree with analytical solutions considerably better than the traditional model, although both models produce essentially the same results that match analytical solutions well when the slope is sufficiently gentle. This suggests that the traditional model fails for flows over steep slopes, and thus the application of the modified model is warranted.
File Size : 920,715 bytes
File Type : Adobe Acrobat Document
Chapter : IAHR World Congress Proceedings
Category : 35th IAHR Congress - Chengdu (2013)
Date Published : 19/07/2016
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