A radial basis function for reconstructing complex immersed boundaries in ghost cell method  

作　　者：Jian-jian Xin Ting-qiu Li Fu-long Shi 辛建建;李廷秋;石伏龙(Key Laboratory of High Performance Ship Technology of Ministry of Education, School of Transportation, Wuhan University of Technology)

机构地区：Key Laboratory of High Performance Ship Technology Wuhan University of Technology,Wuhan 430063,China Ministry of Education,School of Transportatio

出　　处：《Journal of Hydrodynamics》2018年第5期890-897,共8页水动力学研究与进展B辑（英文版）

基　　金：Project supported by the National Science Foundation of China under(Grant Nos.51579196,51139005 and 51490670);the 111 Project(Grant No.B08031)

摘　　要：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.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.

关 键 词：Immersed boundary method （IBM） polynomial radial basis function ghost cell method interface reconstruction 

分 类 号：O35[理学—流体力学]