Numerical model for dam-break flow based on Godunov method
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摘要: 为了更好地把握溃坝洪水风险,减小因溃坝洪水而造成的人员生命和财产损失,建立了基于Godunov格式的一维、二维溃坝水流耦合数学模型。一维溃坝水流模型采用HLL格式的有限体积法求解,二维溃坝水流模型采用基于非结构网格的Roe格式离散求解,在一维、二维模型的链接处采用重叠计算区域的方法实现一维模型和二维模型之间的水力要素信息交换。经弯道溃坝算例和断面突变溃坝算例验证,该耦合模型具有良好的可靠性和适用性,验证后的耦合模型为大尺度的溃坝水流数值模拟打下了基础。Abstract: In order to better understand the risk of dam-break flooding and to reduce the potential of live and property losses,a Godunov-type coupled numerical model based on one dimensional (1-D) and two dimensional (2-D) modules is developed to simulate different dam-break flows.The Harten-Lax-van Leer (HLL) scheme is used in the 1-D module; while,the Roe's method is adopted in the 2-D module for unstructured meshes.The 1-D and 2-D modules are coup led using an overlapping-region method for exchanging the key hydraulic information.The model is tested with two experimental cases of dam-break flow in the curved channel and in the straight channel with sudden enlargement.Results show that the coupled numerical model is able to simulate the dam-break flow of the two cases with good reliability and applicability.The model has the potential for practical applications in simulating large scale dam-break floods.
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Key words:
- dam-break flow /
- Godunov-type method /
- numerical model
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