A radial basis function for reconstructing complex immersed boundaries in ghost cell method
A radial basis function for reconstructing complex immersed boundaries in ghost cell method
复制标题
鬼细胞法中重建复杂浸入边界的径向基函数
DOI：
10.1007/s42241-018-0097-3
复制
发表时间：
2018-10-01
影响因子：
2.5
通讯作者：
Shi, Fu-long
中科院分区：
文献类型：
--
作者：
Xin, Jian-jian;Li, Ting-qiu;Shi, Fu-long
在浸入边界法（IBM）中，复杂浸入边界的跟踪与重构是模拟流固耦合问题的关键。本文将多项式径向基函数（PRBF）方法引入到鬼胞浸入边界法中，用于复杂运动边界的跟踪与重构。该方法利用有限个采样点集进行曲面拟合，具有灵活性强、精度高的特点。复杂或多个边界可以很容易地表示。一个简单的处理是用于识别的背景网格上的接口的位置信息。我们的求解器和界面重建方法的情况下，在流体中振荡的圆柱进行了验证。本PRBF方法的精度与解析函数法相当。在翼型绕流中，所提出的方法对复杂几何形状的能力得到了很好的证明。
It is important to track and reconstruct the complex immersed boundaries for simulating fluid structure interaction problems in an immersed boundary method (IBM). In this paper, a polynomial radial basis function (PRBF) method is introduced to the ghost cell immersed boundary method for tracking and reconstructing the complex moving boundaries. The body surfaces are fitted with a finite set of sampling points by the PRBF, which is flexible and accurate. The complex or multiple boundaries could be easily represented. A simple treatment is used for identifying the position information about the interfaces on the background grid. Our solver and interface reconstruction method are validated by the case of a cylinder oscillating in the fluid. The accuracy of the present PRBF method is comparable to the analytic function method. In ta flow around an airfoil, the capacity of the proposed method for complex geometries is well demonstrated.