In order to identify the influence of shape corners on the instantaneous forces in the case of oscillating bodies, the simulated flow field is compared for two kinds of cross sections: diamond prism and circular cylinder. For these two flow configurations, the same Reynolds number and a Keulegan-Carpenter are considered. To compute the dynamic flow field surrounding the body, the Navier-Stokes transport equations in a non-inertial reference frame attached to the body are considered. Hence, a source term is added locally to the momentum equation to take into account the body acceleration. The proposed model is solved using the PHOENICS code. For the oscillating circular cylinder, the simulated results are in good agreement with the experimental data available in the litterature. After validation of this proposed model, flow field for diamond prism is determined. For both bodies, the process of the vortex formation is similar, with the formation of a recirculation zone in the near-wake containing a symmetric pair of vortices of equal strength and opposite rotation. The length of recirculation zone varies approximately linearly with time. However, the in-line force coefficient of the oscillating diamond prism is found to be greatest, since the recirculation zone is longer compared with that of the oscillating circular cylinder.

中文翻译：

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低Keulegan-Carpenter数下摆动金刚石棱镜和圆柱体绕流的数值研究

为了确定在振动体情况下形状拐角对瞬时力的影响，比较了两种横截面的模拟流场：菱形棱镜和圆柱体。对于这两种流动配置，应考虑相同的雷诺数和Keulegan-Carpenter。为了计算围绕人体的动态流场，考虑了附着在人体上的非惯性参考系中的Navier-Stokes输运方程。因此，将源项局部添加到动量方程中以考虑身体加速度。所提出的模型使用PHOENICS代码求解。对于摆动的圆柱体，模拟结果与文献中的实验数据非常吻合。验证此提议的模型后，确定菱形棱镜的流场。对于两个物体，涡流的形成过程都是相似的，在近尾流中形成了一个循环区，其中包含一对强度相等且旋转相反的对称涡流。回流区的长度大约随时间线性变化。然而，发现摆动金刚石棱柱的轴向力系数最大，这是因为与摆动圆筒相比，再循环区域更长。