基于径向基函数的高效网格变形算法研究  

Space points reduction in grid deforming method based on radial basis functions

作　　者：谢亮[1] 徐敏[1] 张斌[1] 安效民[1] 

机构地区：[1]西北工业大学航天学院,西安710072

出　　处：《振动与冲击》2013年第10期141-145,共5页Journal of Vibration and Shock

基　　金：国家自然科学基金;重大研究计划(90816008);西北工业大学基础研究基金资助项目(JC201002)

摘　　要：在流固耦合时域仿真与气动外形优化中,网格变形技术得到了普遍应用。基于径向基函数的网格变形技术以其诸多优良的特性,在近年来得到了广泛的关注。其基本原理是采用物面网格节点的位移构造一个径向基函数序列,再利用此序列将物面的位移光滑的插值到空间网格上。其计算耗时与物面插值节点数与空间待插值节点数的乘积成正比,为了减少其计算量,目前多数文献集中于使用数据精简算法减少物面插值节点数。通过引入子空间逐级逼近思想,构造了一种精简空间待插值节点数的方案,该方案主要思想是采用多次插值,每一次插值的对象为上一次插值在物面产生的误差,并且通过限制每一次插值的插值区域来实现减缩空间节点的目的。计算结果表明此方案可以支持大变形运动,同时显著的减少了计算时间。In recent years, grid deforming method based on radial basis functions(RBF) has been accepted widely because of many advantages. However, for volume mesh deformation driven by surface motion, the RBF system may become impractical for large meshes due to the large number of both surface (control) points and volume points. To improve the efficiency, the reduction of surface points was focused on. The algorithm for space points reduction based on multi-level interpolation was developed. The key point of the method is setting the error of last step as the object of current step, and restricting interpolation space gradually. The algorithm was proved efficient and robust by the examples of deforming grid of naca 0012 airfoil and ONERA-M6 wing.

关 键 词：径向基函数 网格变形 数据精简算法 

分 类 号：O241.3[理学—计算数学]