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一种新型高鲁棒性动网格技术及其应用
引用本文:黄江涛,高正红,周,铸,刘,刚,赵,轲.一种新型高鲁棒性动网格技术及其应用[J].力学学报,2014,46(2):291-299.
作者姓名:黄江涛  高正红            
作者单位:1.中国空气动力研究与发展中心, 绵阳 621000;2.西北工业大学翼型叶栅空气动力国防科技重点实验室, 西安 710072
摘    要:首先对四元数进行李代数空间指数映射,解决了多个四元数插值问题,并结合距离倒数插值方法实现网格边界扰动向空间网格的传播,建立了新型高鲁棒性的四元数变形网格技术. 针对该型动网格技术中由于大型矩阵运算量引起的运算效率低问题,同时利用四元数方法在动网格变形中具备与物面边界高阶一致性的特点,提出了分层次变形策略,避免了面向全流场网格节点的大型矩阵运算;进一步基于无限插值技术较强的逻辑保持能力,建立了面向结构网格分层混合变形方法. 充分利用多区域重叠、对接网格变形技术中隐含的并行性,基于对等式编程思想及MPI 库函数对动网格程序进行并行化编程,建立了高效高鲁棒性的变形网格技术. 以某型客机翼身组合体气动弹性分析为范例,研究了不同方法之间的计算效率以及鲁棒性,进一步将分层混合变形网格技术应用于某型支线客机全机型架外形设计与修正,验证了所建立的新型动网格技术的高效性与鲁棒性.

关 键 词:四元数  指数映射  距离倒数插值  分层混合策略  亚层次边界  静气动弹性
收稿时间:2013-04-17
修稿时间:2013-07-17

A NEW HIGHLY ROBUST GRID DEFORMATION TECHNIQUE AND ITS APPLICATION
Huang Jiangtao,Gao Zhenghong,Zhou Zhu,Liu Gang,Zhao Ke.A NEW HIGHLY ROBUST GRID DEFORMATION TECHNIQUE AND ITS APPLICATION[J].chinese journal of theoretical and applied mechanics,2014,46(2):291-299.
Authors:Huang Jiangtao  Gao Zhenghong  Zhou Zhu  Liu Gang  Zhao Ke
Institution:1.China Aerodynamics Research and Development Center, Mianyang 621000, China;2.National Key Laboratory of Aerodynamic Design and Research, Northwestern Polytechnical University, Xi'an 710072, China
Abstract:In order to solve the multi-quaternion interpolation problem, quaternion is exponentially mapped to lie algebra space firstly, and the IDW interpolation method is combined to propagate the boundary perturbation to space. Consequently, the new grid deformation technique with high robustness is established based on quaternion. Aiming at the low efficiency due to large matrix computation, the proposed method takes advantage of the characteristic of quaternion method that can keep the boundary deformation in high-order consistency with elastic wall, and constructs the hierarchical deformation strategy that avoids the large matrix computation for the whole flow field. Furthermore, the infinite interpolation (TFI) which has strongly logical holding ability is combined in the hierarchical blend strategy. The embedded parallelism of multi-area, overlapping, patched grid deformation technology is utilized to establish the parallel program for grid deformation based on 'peer to peer' programming concept and MPI library functions. Finally, a typical example of aircraft wing-body for aerodynamic aeroelasticity analysis is used to demonstrate the computational efficiency and robustness of proposed method by comparing with existing methods. Moreover, the hierarchical deformation technique is applied to the jig shape design of a regional aircraft, the efficiency and robust of the new type of the dynamic mesh technique is verified.
Keywords:quaternion|exponential mapping|inverse distance weight interpolation|hierarchical blend strategy|sub-boundary|static aeroelasticity  
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