王立辉, 潘存鸿, 吴修广, 潘冬子, 于普兵. 非粘性沙坝溃决数学模型及求解[J]. 水科学进展, 2011, 22(6): 859-863.
引用本文: 王立辉, 潘存鸿, 吴修广, 潘冬子, 于普兵. 非粘性沙坝溃决数学模型及求解[J]. 水科学进展, 2011, 22(6): 859-863.
WANG Li-hui, PAN Cun-hong, WU Xiu-guang, PAN Dong-zi, YU Pu-bing. Mathematical modeling of non-cohesive earth dam breaches[J]. Advances in Water Science, 2011, 22(6): 859-863.
Citation: WANG Li-hui, PAN Cun-hong, WU Xiu-guang, PAN Dong-zi, YU Pu-bing. Mathematical modeling of non-cohesive earth dam breaches[J]. Advances in Water Science, 2011, 22(6): 859-863.

非粘性沙坝溃决数学模型及求解

Mathematical modeling of non-cohesive earth dam breaches

  • 摘要: 考虑一维陡坡浅水方程与Exner方程耦合构建漫顶溃坝数学模型,利用Roe格式黎曼近似解法求解,并用预测-校正法处理源项保证水流、泥沙侵蚀输运和底床演变过程的计算稳定。模型实例计算结果表明,该方法能较好地计算非粘性模型沙坝漫顶溃决问题,可为溃坝数值计算提供新的思路。

     

    Abstract: A mathematical model of overtopping dam-break is developed using the coupled 1D shallow water equations on steep surface and the Exner equation.The model takes advantages of the Roe approximate Riemann solvers and the predictor-corrector scheme for the source term treatment.The issues of computational stability and accuracy on sediment erosion transport and bed evolution can thus be ensured.The result shows that the model is able to better simulate the process of non-cohesive earth dam breaches and provides a new approach for numerical modeling of overtop dam-break.

     

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