Mesh deformation based on radial basis function interpolation
Mesh deformation based on radial basis function interpolation
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DOI：
10.1016/j.compstruc.2007.01.013
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发表时间：
2007-06-01
影响因子：
4.7
通讯作者：
Bijl, H.
中科院分区：
文献类型：
--
作者：
de Boer, A.;van der Schoot, M. S.;Bijl, H.
开发了一种新的网格运动算法，该算法是基于通过径向基函数（RBF）向整个网格的边界节点的插值位移。仅涉及边界节点的小型方程系统必须求解，不需要网格连接信息。该方法可以处理由2D和3D网格的翻译，旋转和变形引起的大型网格变形。但是，性能取决于使用的RBF。使用C-2连续的RBF获得具有紧凑型支撑的C-2连续RBF获得的最佳准确性和鲁棒性，紧随其后的是薄板样条。变形的网格适用于流量计算，如在NACA-0012机翼附近进行计算所示。 （c）2007 Elsevier Ltd.保留所有权利。
A new mesh movement algorithm for unstructured grids is developed which is based on interpolating displacements of the boundary nodes to the whole mesh with radial basis functions (RBF's). A small system of equations, only involving the boundary nodes, has to be solved and no grid-connectivity information is needed. The method can handle large mesh deformations caused by translations, rotations and deformations, both for 2D and 3D meshes. However, the performance depends on the used RBF. The best accuracy and robustness with the highest efficiency are obtained with a C-2 continuous RBF with compact support, closely followed by the thin plate spline. The deformed meshes are suitable for flow computations as is shown by performing calculations around a NACA-0012 airfoil. (C) 2007 Elsevier Ltd. All rights reserved.