基于径向基函数的动网格技术应用研究

综合分析了基于径向基函数的动网格技术,利用紧支径向基函数构造位移插值函数,推导了位移传递矩阵,使得流场空间节点的位移插值只依赖于物面节点运动。通过一种基于贪婪算法的节点缩减算法与并行技术解决了该方法计算时间长、占用存储空间大的缺点。针对物面变形较大和构型复杂的情况,该技术可很好的完成网格变形。数值算例表明:应用该技术同时适用于结构以及非结构网格,且网格变形前后质量变化不大。

Analyzing Dynamic Grid Based on Radial Basis Function

Grid motion plays a great role in aeroelasticity analysis.This paper analyzed a dynamic grid based on the radial basis function.Using the compactly supported radial basis function,it deduced the displacement transfer matrix which interpolates the space grid location by surface grid motion.The node-reduction algorithm based on greed algorithm and parallel technology reduced the computational time and the storage space of the dynamic grid.Considering that the surface had large grid deformation and complex structure,this method can well accomplish the grid motion.The numerical example demonstrates that this method is suitable for both structural mesh and unstructured grid.The grid quality does not change much before and after grid deformation.