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Finding Free Surface of Supercritical Flows - Numerical Investigation

机译：寻找超临界流的自由表面-数值研究

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AbstractA three-dimensional numerical model (STAR-CCM+) has been used to compute the free surface for different cases with supercritical flow. The program solves the Navier-Stokes equations on an unstructured hexahedral grid using the SIMPLE method and the k-epsilon turbulence model. The location of the free water surface has been computed with the volume of fluid method. Two cases from literature have been used for validation: one with a channel expansion and another with a channel junction. In both cases, oblique standing waves occurred. The geometry of the waves were well reproduced by the numerical model. The third case had a more complex geometry, modelling a physical laboratory study of a natural river geometry upstream of the dam of a hydropower plant. The case was unusual in that supercritical flow and oblique standing waves occurred upstream of the dam. Also for this case the numerical model gave reasonable results for the location of the free water surface.
机译：摘要已使用三维数值模型（STAR-CCM +）计算具有超临界流的不同情况下的自由表面。该程序使用SIMPLE方法和k-ε湍流模型求解非结构六面体网格上的Navier-Stokes方程。自由水表面的位置已通过流体体积法计算。来自文献的两种情况已用于验证：一种情况具有通道扩展，另一种具有通道结。在这两种情况下，都发生了倾斜的驻波。数值模型很好地再现了波浪的几何形状。第三种情况具有更复杂的几何形状，模拟了对水力发电厂大坝上游自然河几何形状的物理实验室研究。这种情况很不寻常，因为大坝上游发生了超临界水流和倾斜的驻波。同样对于这种情况，数值模型给出了自由水表面位置的合理结果。

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