论文标题
与部分沉浸的身体相互作用。第二部分：数值结果
Long wave interaction with a partially immersed body. Part II: Numerical results
论文作者
论文摘要
在此手稿中，我们对长波相互作用问题进行了广泛的数值研究，固定部分浸入了流体层中。被认为是孤立的孤立波。假定本研究中的身体是用矩形截面固定的，该矩形截面没有接触通道的底部。该问题的数学模型基于本系列的第一部分（Khakimzyanov和dutakh 2020）和所考虑的模型包括非线性浅水方程（NSWE），完全非线性的弱分布serre-serre-serre-green-naghdi方程（SGN方程）（SGN方程）（SGN方程）（SNE SGN方程式）（在固体/流动性的条件下完整范围（Fee）和Fullire inririenter（Feel）和Fulter forful fore fore fore fore fore fulter（Fule）。我们研究浮动体伸长，浸入深度和入射波幅度对障碍物之前和之后的波场的影响。进行了所有三种模型预测的比较和小规模实验室实验的数据。此外，在费用模型的框架中，我们研究了垂直墙的近距离浮动物体后面的异常波动。我们证明了垂直壁在人体后面产生极端波幅度的情况，但我们也证明了与没有壁的波场相比，壁减弱波浪幅度的情况。
In this manuscript we perform an extensive numerical study of the long wave interaction problem with a fixed partially immersed body into a fluid layer. The incident wave is assumed to be an isolated solitary wave. The body in this study is assumed to be fixed with a rectangular section which is not touching the bottom of the channel. The mathematical modelling of this problem is based on Part I (Khakimzyanov and Dutykh 2020) of this series and considered models include the Nonlinear Shallow Water Equations (NSWE), fully nonlinear weakly dispersive Serre-Green-Naghdi Equations (SGN equations) (completed with appropriate compatibility conditions on solid/fluid boundaries) and the free surface irrotational full Euler equations (FEE). We study the influence of the floating body elongation, immersion depth and incident wave amplitude on the wave field before and after the obstacle. The comparison of all three models predictions and the data of small-scale laboratory experiments is performed. Moreover, in the framework of the FEE model we investigate the anomalous wave run-up behind the floating body in the close presence of a vertical wall. We demonstrate the cases where the vertical wall creates extreme wave amplitudes behind the body, but also we show the cases where the wall attenuates wave amplitudes comparing to the wave field without a wall.
