Vortex‐in‐cell method combined with a boundary element method for incompressible viscous flow analysis
Vortex‐in‐cell method combined with a boundary element method for incompressible viscous flow analysis
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胞内涡流法与边界元法相结合的不可压缩粘性流分析
DOI：
10.1002/fld.2649
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发表时间：
2012
影响因子：
1.8
通讯作者：
Kyung
中科院分区：
文献类型：
--
作者：
Yoo;J. Suh;Kyung
本文提出了一种用于模拟二维和三维物体外部不可压缩流动的浸没边界涡胞内涡方法。涡量输运方程是VIC方法的控制方程，它以拉格朗日形式表示，用涡团表示的流场进行求解。在本格式中，对流和扩散的处理是基于经典的分步算法。速度的旋转分量通过在规则的笛卡尔网格上用FFT方法求解泊松方程得到，螺线分量由对流项的面元法求解积分方程确定，扩散项由粒子强度交换格式实现。与表面边界条件相关的无滑移流动条件和非穿透流动条件分别通过涡片扩散和物体上的奇异性分布来满足。与其他方法不同的是，本方法使用面元法来执行非贯通流动条件。面元法完全利用了VIC方法固有的浸没边界性质，也可用于压力场的计算。整个过程使用消息传递接口来并行化，以管理三维流动模拟中的大量计算负载。版权所有©2011 John Wiley&Sons，Ltd.
In this study, an immersed boundary vortex‐in‐cell (VIC) method for simulating the incompressible flow external to two‐dimensional and three‐dimensional bodies is presented. The vorticity transport equation, which is the governing equation of the VIC method, is represented in a Lagrangian form and solved by the vortex blob representation of the flow field. In the present scheme, the treatment of convection and diffusion is based on the classical fractional step algorithm. The rotational component of the velocity is obtained by solving Poisson's equation using an FFT method on a regular Cartesian grid, and the solenoidal component is determined from solving an integral equation using the panel method for the convection term, and the diffusion term is implemented by a particle strength exchange scheme. Both the no‐slip and no‐through flow conditions associated with the surface boundary condition are satisfied by diffusing vortex sheet and distributing singularities on the body, respectively. The present method is distinguished from other methods by the use of the panel method for the enforcement of the no‐through flow condition. The panel method completes making use of the immersed boundary nature inherent in the VIC method and can be also adopted for the calculation of the pressure field. The overall process is parallelized using message passing interface to manage the extensive computational load in the three‐dimensional flow simulations. Copyright © 2011 John Wiley & Sons, Ltd.