Parallel efficient mesh motion using radial basis functions with application to multi‐bladed rotors
Parallel efficient mesh motion using radial basis functions with application to multi‐bladed rotors
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DOI：
10.1002/nme.2678
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发表时间：
2008-08
影响因子：
2.9
通讯作者：
T. Rendall;C. Allen
中科院分区：
文献类型：
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作者：
T. Rendall;C. Allen
采用径向基函数来解决非定常气动模拟中的网格运动问题。这种方法与连接性无关，可以生成高质量的网格，但对于完整形式的大网格来说，成本较高。因此，通过减少用于定义曲面变形的曲面点的数量，并用简单的衰减摄动来校正在其他曲面点所隐含的微小位置误差，从而将该方法分成一次基函数法和二次局部校正法，从而大大提高了该方法的效率。这意味着保留了精确的曲面，但网格运动明显更快，同时将运动分割为两个阶段允许这两种方法在给定其相对强度的情况下处理适当的问题。以一个5×106单元直升机旋翼网格为例，对夸张的周期性螺距运动进行了变形，结果表明网格质量很好，从而验证了该格式的简单性、健壮性和易于并行化。版权所有©2009 John Wiley&Sons，Ltd.
Radial basis functions are used to provide a solution to the problem of mesh motion for unsteady aerodynamic simulation. The method is independent of connectivity and produces high‐quality meshes, but is expensive for large meshes in its full form. Hence, the efficiency of the technique has been greatly improved here by reducing the number of surface points used to define deformations of the surface, and the minor error in position that this implies at other surface points is corrected with a simple decaying perturbation, thus splitting the method into a primary basis function method and a secondary local correction method. This means that the exact surface is retained, but the mesh motion is significantly faster, while splitting the motion into two stages allows both the methods to work on appropriate problems given their relative strengths. An example deformation for a 5×106 cell helicopter rotor mesh with an exaggerated cyclic pitch motion shows excellent mesh quality, thus validating a scheme that is also simple, robust and readily parallelized. Copyright © 2009 John Wiley & Sons, Ltd.