| 一种基于径向基函数的非结构混合网格变形技术 |
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| 引用本文： | 王刚,雷博琪,叶正寅.一种基于径向基函数的非结构混合网格变形技术[J].西北工业大学学报,2011,29(5):783-788. |
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| 作者姓名： | 王刚 雷博琪 叶正寅 |
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| 作者单位： | 西北工业大学翼型、叶栅空气动力学国防科技重点实验室,陕西西安,710072 |
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| 摘 要： | 网格变形技术被广泛运用于气动外形优化设计或气动弹性力学仿真之中。非结构混合网格由于拓扑结构比较复杂,其网格变形的难度较大。本章发展了一套基于径向基函数的非结构混合网格变形技术。其基本原理是运用径向基函数对物面边界网格节点的位移进行插值,然后利用构造出来的径向基函数插值序列将物面的位移效应光滑地分散到整个网格区域的节点上。为了提高网格变形效率,需要在物面位移的径向基函数插值过程中进行数据精简,为此,文中提出了一种基于贪心法逐级选择径向基函数空间子集来实现插值逼近的数据精简算法。选择NACA0012翼型和三维LANN机翼的非结构混合网格的典型变形问题作为数值算例,对该方法的实用性进行了验证。计算结果表明该方法具备较高的计算效率,对大尺度变形问题的适应性很好,变形后计算网格的质量仍然可以得到有效地保证。
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| 关 键 词： | 径向基函数 非结构混合网格 网格变形 贪心法 |
An Efficient Deformation Technique for Hybrid Unstructured Grid Using Radial Basis Functions |
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| Wang Gang,Lei Boqi,Ye Zhengyin.An Efficient Deformation Technique for Hybrid Unstructured Grid Using Radial Basis Functions[J].Journal of Northwestern Polytechnical University,2011,29(5):783-788. |
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| Authors: | Wang Gang Lei Boqi Ye Zhengyin |
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| Affiliation: | (National Key Laboratory of Aerodynamic Design and Research,Northwestern Polytechnical University,Xi′an 710072,China) |
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| Abstract: | Aim.The introduction of the full paper reviews a number of relevant papers in the open literature and then proposes the deformation technique research mentioned in the title,which we believe is more efficient than previously and which is explained in sections 1 and 2.Their core consists of: In hybrid unstructured grid,mesh deformation becomes difficult due to the complexity of grid topology.In this paper,an efficient mesh deformation technique for hybrid unstructured grid,which is based on radial basis func... |
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| Keywords: | aerodynamics airfoils algorithms analysis approximation theory calculations computational complexity computational geometry data reduction interpolation numerical methods optimization topology wings greedy algorithm hybrid unstructured grid mesh deformation radial basis function |
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