Numerical prediction of dam-break flows in general geometries with complex bed topography
Numerical prediction of dam-break flows in general geometries with complex bed topography
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DOI：
10.1061/(asce)0733-9429(2004)130:4(332
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发表时间：
2004-04
影响因子：
2.4
通讯作者：
J. Zhou;D. Causon;C. Mingham;D. Ingram
中科院分区：
文献类型：
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作者：
J. Zhou;D. Causon;C. Mingham;D. Ingram
采用高分辨率Godunov型切割单元法对具有复杂河床地形的一般几何形状的溃坝流动进行了数值模拟。该模型是基于浅水方程与适当的源项。采用表面梯度法对床层中的垂直台阶进行了高效、准确的处理。对于发生在复杂几何形状的溃坝流动，笛卡尔切割单元法与透射边界条件相结合。该方法的验证是通过预测典型的实际情况下的溃坝流量来进行的，即，溃坝水流越过垂直台阶进入弯曲渠道，溃坝水流越过河床中的凸起，渠道末端具有透射和反射边界条件。结果与实验数据进行了比较，显示出良好的协议。该方法简单、有效、保守。它显示了处理各种溃坝水流的前景。
Dam-break flows in general geometries with complex bed topography are simulated numerically using a high-resolution Godunov-type cut cell method. The model is based on the shallow water equations with appropriate source terms. A vertical step in the bed is treated efficiently and accurately with the surface gradient method. For dam-break flows occurring in complicated geometries, the Cartesian cut cell method together with transmissive boundary conditions is incorporated. Verification of the method is carried out by predicting dam-break flows typical of practical situations, i.e., dam-break flows over a vertical step into bent channels and a dam-break flow over a bump in a bed with both transmissive and reflective boundary conditions at the channel end. The results are compared with experimental data showing good agreement. The method is simple, efficient, and conservative. It shows promise for handling a wide range of dam-break flows.