Abstract In this paper, the movement of the water surface is numerically simulated when a dam is broken by the volume of fluid (VOF) method. The mathematical model is based on the Navier–Stokes equations and uses the large eddy simulation turbulent model, describing the flow of an incompressible viscous fluid and the equation for the phase. These equations are discretized by the finite-volume method. Numerical PISO (Pressure-Implicit with Splitting of Operators) algorithm was chosen for numerical solution of this equation system. The movement of the water surface is captured by using the VOF method, which leads to a strict mass conservation law. The accuracy of the three-dimensional model and the chosen numerical algorithm were tested using several laboratory experiments on dam break problem. In each of the problems, the obtained results were compared with the experimental data and several calculations by other authors and in each of the test problems, the developed model showed results close to the experimental data. Comparison of simulation results with experimental data for various turbulent models was also performed. And also two combined problems were performed which are more close to real conditions; with the help of these problems, flooding zones and flooding time were identified that would help in evacuating people from dangerous zones.

中文翻译：

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各种障碍物VOF法对大坝断流水面运动的数值研究

摘要 本文采用流体体积法(VOF)对大坝溃决时水面的运动进行了数值模拟。数学模型基于 Navier-Stokes 方程并使用大涡模拟湍流模型，描述不可压缩粘性流体的流动和相方程。这些方程通过有限体积方法离散化。该方程组的数值求解选择了数值 PISO（带算子分裂的压力隐式）算法。使用VOF方法捕获水面的运动，这导致了严格的质量守恒定律。三维模型的准确性和所选择的数值算法通过几个关于溃坝问题的实验室实验进行了测试。在每个问题中，将获得的结果与实验数据和其他作者的一些计算进行比较，在每个测试问题中，开发的模型显示的结果接近实验数据。还对各种湍流模型的模拟结果与实验数据进行了比较。并且还进行了两个更接近实际情况的组合问题；在这些问题的帮助下，确定了洪水区域和洪水时间，这将有助于从危险区域疏散人们。并且还进行了两个更接近实际情况的组合问题；在这些问题的帮助下，确定了洪水区域和洪水时间，这将有助于从危险区域疏散人们。并且还进行了两个更接近实际情况的组合问题；在这些问题的帮助下，确定了洪水区域和洪水时间，这将有助于从危险区域疏散人们。