基于2D FEVM-SWEs的局部底床变形溃坝水流模拟

Simulation of dam-break flow over partially deformed bed based on 2D FEVM-SWEs model

为研究局部底床变形对溃坝波传播的影响,该文采用有限元法和有限体积法联合离散控制水流运动的二维浅水方程(2D FEVM-SWEs)建立了溃坝水流运动的数学模型。溃坝模型验证算例的结果与前人实体模型试验结果基本一致,利用该模型研究了局部底床变形条件下溃坝波传播的特性,结果表明该模型能够简便、快速、有效地模拟局部变形底床上的溃坝波传播过程,并且得到了不同时刻的溃坝水流水位变化以及反射波向上游的传播历程。

A 2D numerical model has been developed to simulate dam-break flow over uneven beds in regular domains. The model solves 2D shallow water equations （2D SWEs） using the finite/volume method （FEVM）. The process of simulation is in good agreement with the experimental data given by other authors. The proposed model is applied to simulate dam-break flow on the deformed terrain. Results reveal that the model can simulate propagation of dam-break wave concisely, rapidly and effectively, and achieve the dam water level changes in different moments and the course of the reflected wave to propagate upstream.