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| Numerical simulation of dam-break flows in curved and furcated channels by using space-time Conservation Element and Solution Element method |
| Received:September 09, 2008 |
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| DOI：10.7511/jslx20103009 |
| KeyWord:dam-break CE/SE method shallow water equations bend channel furcated channel |
| Author | Institution |
| 文岑 |
重庆大学 资源与环境科学学院,重庆 ;重庆交通大学 西南水运工程科学研究所,重庆 |
| 张永祥 |
重庆大学 资源与环境科学学院,重庆 |
| 陈景秋 |
重庆大学 资源与环境科学学院,重庆 |
| 曾忠 |
重庆大学 资源与环境科学学院,重庆 |
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| Abstract: |
| In this paper, the 2D dam-break numerical model is extended to obtain a general form of space-time Conservation Element and Solution Element (for short: CE/SE) scheme for 2D shallow water equations over arbitrary quadrilateral cells. Space and time are unified and treated on the same footing, and by the introduction of conservation element and solution element, both local and global flux conservations in space and time instead of in space only are enforced, it is simpler and easier to apply. Firstly, the CE/SE solution and Stoker’s analytical solution is compared in rectangular, frictionless, horizontal channel. Next, the dam-break flows are simulated by using the new CE/SE scheme for the cases in channel with a 180 degree strong bend and a 45 degree three branches. The complex characteristics of velocity and water elevation change at both banks of the curved sections, auto-reassignment of discharges and momentum as well as the vortices and super-elevation near the corner of embranchment regions in the furcated channels are displayed. It shows many advantages of the new CE/SE scheme such as its stability, high efficiency, high accuracy and high resolution of shock. This new scheme is flexible and can be used in the computation of many flow problems. It is proved that the CE/SE method is a new and high accuracy numerical method for studying dam-break flood wave. |
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