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等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。本文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。
Abstract
In the 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 can become impractical for large meshes due to both the large number of surface (control) points and the large number of volume points. To improve efficiency, the reduction of surface points has been focus on recently. But no body has considered how to reduce the number of volume points. The algorithm for space points reduction which based on multi-level interpolation was developed. The key point of this method is setting the error of the last step as the object of the current step, and restricting interpolation space gradually. The algorithm has been proved efficient and robust by the deforming grid of naca0012 airfoil and ONERA-M6 wing.
关键词
径向基函数 /
网格变形 /
数据精简算法
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Key words
Radial Basis Functions(RBFs) /
grid deforming /
data reduction
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谢亮;徐敏;张斌;安效民.
基于径向基函数的高效网格变形算法研究[J]. 振动与冲击, 2013, 32(10): 141-145
Xie Liang;Xu Min;Zhang Bin;An Xiao ming.
Space Points Reduction Method for Grid Deforming Base on Radial Basis Functions[J]. Journal of Vibration and Shock, 2013, 32(10): 141-145
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