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| Method for keeping balance in shallow-water simulation over irregular topography |
| Received:March 14, 2011 Revised:September 06, 2011 |
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| DOI：10.7511/jslx20124023 |
| KeyWord:shallow-water equations balancea property source terms FVM |
| Author | Institution |
| 王党伟 |
中国水利水电科学研究院 流域水循环模拟与调控国家重点实验室, 北京 |
| 陈建国 |
中国水利水电科学研究院 流域水循环模拟与调控国家重点实验室, 北京 |
| 吉祖稳 |
中国水利水电科学研究院 流域水循环模拟与调控国家重点实验室, 北京 |
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| Abstract: |
| Numerical imbalance may arise when a numerical simulation of water movement using shallow-water equations (SWEs) is performed on an irregular natural riverbed form.A mathematical model is established directly by applying Roe’s method in FVM pattern based upon irregular quadri-lateral grids and some imbalance emerges.Based on analyzing the essential meaning of this numerical discretization method,partial surface method (PSM) is brought forward to eradicate the imbalance in continuity equation; as to the motion equations,a new method is firstly proposed in this paper which imitates the construction of numerical flux of Roe’s method.Finally, we adopt the revised mathematical model in simulating flow in Jiamusi Reach of the Songhuajiang River and the result shows perfect performance in conservation,convergence and balance. |
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