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Numerical simulation of fluid forces on moving solid body by the vortex in cell method with volume penalization

机译：体积罚分的单元格涡旋运动中流体力的数值模拟

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This study proposes a method for calculating the fluid forces acting on moving solid bodies in flows simulated by the vortex in cell (VIC) method. The body is represented using the volume penalization (VP) method, which introduces the influence of the body on the flow as an external force in the form of a penalization term into the Navier-Stokes equation. The pressure field is computed by solving the Poisson equation, which is derived by taking the divergence of the Navier-Stokes equation. The pressure and viscous stress on the body surface are calculated using a quadratic function along the vector normal to the surface. This study simulates the flow around a cylinder oscillating in still water by the VIC-VP method, and calculates the fluid forces acting on the cylinder using the proposed method. The velocity profiles on four cross-sections at three different time points agree well with the results of a measurement. The in-line force acting on the cylinder also agrees with the existing results computed by a boundary-conforming formulation. These demonstrate the validity of the authors' method for calculating the fluid forces on solid bodies in flows simulated by the VIC-VP method. (C) 2019 Elsevier Masson SAS. All rights reserved.
机译：这项研究提出了一种计算作用在流动的固体上的流体力的方法，该流动是通过单元涡旋（VIC）方法模拟的。使用体积罚分（VP）方法表示实体，该方法以罚分形式将实体对流的影响作为外力引入到Navier-Stokes方程中。通过求解泊松方程来计算压力场，该泊松方程是通过利用Navier-Stokes方程的发散来得出的。使用沿垂直于表面的向量的二次函数来计算身体表面上的压力和粘性应力。这项研究通过VIC-VP方法模拟了在静止水中振荡的圆柱周围的流动，并使用所提出的方法计算了作用在圆柱上的流体力。在三个不同时间点的四个横截面上的速度曲线与测量结果非常吻合。作用在圆柱体上的轴向力也与边界符合公式计算出的现有结果一致。这些证明了作者的方法用于计算通过VIC-VP方法模拟的流动中的固体流体力的有效性。 （C）2019 Elsevier Masson SAS。版权所有。

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