水库滑坡涌浪传播有限元数值模拟

库岸滑坡涌浪危害巨大，正确预测库区可能的滑坡涌浪非常重要，是工程可行性论证的重要内容之一。将浅水控制方程应用于滑坡涌浪数值模拟，控制方程采用简便且具有较高精度的两步Taylor-Galerkin方法进行求解。通过算例对数值模型的应用进行验证，结果表明，涌浪产生后将以入水点为源点迅速向四周推进并不断衰减，且随传播距离的增加浪高降幅逐渐减小。计算的涌浪高度及水位变化规律与实测资料吻合得很好，并将滑坡涌浪的沿程传播过程可视化。研究结果表明，文中方法模拟滑坡涌浪传播是有效可行的，可用于滑坡涌浪灾害的预测和防治。

Finite element numerical simulation of water waves due to reservoir landslides

Reservoir landslide surge can cause great damages. It’s important to forecast the possible harm brought by reservoir landslides surge correctly and it’s one of the most important content of feasibility demonstration for engineering. The shallow water control equation is applied to finite element numerical simulation for waves generated by landslides. The governing equation is discretized by the two-step Taylor-Galerkin method, which is of high-order accuracy and easy to be carried out. To examine the performance of the numerical model, an example is simulated. The results indicate that the water wave pushes towards the surroundings with the water access point as a source point, companying with continuous attenuation. The decreasing amplitude of the wave height diminishes gradually with the increasing spread distance. And the calculated result agreed well with the measured data, including the primary wave heights and the laws of water level movement; furthermore, the wave propagation process toward upstream and downstream is visualized. The validity and reliability of the method are proved by the result of the study. The research result can be used to forecast and prevent landslide disaster.