一种新型高鲁棒性动网格技术及其应用

黄江涛; 高正红; 周铸; 刘刚; 赵轲

doi:10.6052/0459-1879-13-121

一种新型高鲁棒性动网格技术及其应用

doi: 10.6052/0459-1879-13-121

黄江涛^1,2,
高正红²,
周铸¹,
刘刚¹,
赵轲²

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

详细信息

作者简介:
黄江涛，博士后，主要研究方向：飞行器气动设计与计算空气动力学.E-mail：hjtcyf@163.com

中图分类号: V211.3
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出版历程
- 收稿日期: 2013-04-17
- 修回日期: 2013-07-17
- 刊出日期: 2014-03-18

A NEW HIGHLY ROBUST GRID DEFORMATION TECHNIQUE AND ITS APPLICATION

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

摘要

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.
- 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
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.
- quaternion /
- exponential mapping /
- inverse distance weight interpolation /
- hierarchical blend strategy /
- sub-boundary /
- static aeroelasticity

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参考文献(15)

Liu XQ, Qin N. Fast dynamic grid deformation based on Delaunay graph mapping. Journal of Computational Physics, 2006, 211: 405-423

Buhmann M. Radial Basis Functions. Cambridge: Cambridge University Press, 1st edn, 2005

Wendland H. Fast evaluation of radial basis functions: Methods based on partition of Unity. In Approximation Theory X: Wavelets, Splines, and Applications, Vanderbilt University Press, Nashville, Texas, USA, 2002, 473-483

Spekreijse SP, Boerstoel JW. An algorithm to check the topological validity of multiblock domain decompositions. In: Proceedings 6th International Conference on Numerical Grid Generation in Computational Field Simulations, Greenwich, NLR-TP-98198, 1998

Smith RE. Transfinite interpolation (TFI) generation systems. In: Handbook of Grid Generation. Weatherill NP, Thompson JF, Soni BK, eds. CRC Press, 1999

Dam BE, Koch M, Lillholm M. Quaternions, Interpolation and Animation. Technical Report DIKU-TR-98/5, July 1998

Shoemake K. Animating rotation with quaternion curves. ACM SIGGRAPH Computer Graphics, 1985, 19(3): 245-254

Grassia FS. Practical parameterization of rotations using the exponential map. The Journal of Graphics Tools, 1998, 3(3): 29-48

Maruyama1 D, Bailly D. High quality mesh deformation using quaternions for orthogonality preservation. In: Proc. of 50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition 09-12 January 2012, Nashville, Tennessee.

Jeroen A, Witteveen S. Explicit and robust inverse distance weighting mesh deformation for CFD. In: Proc. of 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition. 4 -7 January 2010, Orlando, Florida

都志辉. 高性能计算并行编程技术MPI并行程序设计. 北京: 清华大学出版社, 2001 (Du Zhihui. High Performance Parallel Programming Technology: MPI Parallel Program Design. Beijing: Tsinghua University Press, 2001 (in Chinese))

Allen CB, Rendall TCS. Unified approach to CFD-CSD interpolation and mesh motion using radial basis functions. In: 25th AIAA Applied Aerodynamics Conference. 2007, 25-28

赵永辉. 气动弹性力学与控制. 北京: 科学出版社, 2007 (Zhao Yonghui. Aeroelastic Dynamics and Control. Beijing: Science Press, 2007 (in Chinese))

Försching HW 著.弹性力学原理. 沈克扬, 管德译. 上海科学技术文献出版社, 1982 (Försching HW. The Principle of Elastic Mechanics. Shen KY, Guan De, tranl. Shanghai: Shanghai Science and Technology Press, 1982 (in Chinese))

Cizmas P, Gargoloff J. Mesh generation and deformation algorithm for aeroelasticity simulations. AIAA-2007-556, 2007

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