基于径向基函数插值的气动弹性计算方法

林言中; 陈兵; 徐旭

doi:10.13700/j.bh.1001-5965.2013.0460

基于径向基函数插值的气动弹性计算方法

doi: 10.13700/j.bh.1001-5965.2013.0460

北京航空航天大学宇航学院, 北京 100191

基金项目:

中央高校基本科研业务费资助项目（YWF-14-YHXY-020）

详细信息

作者简介:
林言中（1984-），男，辽宁丹东人，博士生，lyz33040315@sa.buaa.edu.cn.

中图分类号: V211.3
计量
- 文章访问数: 1165
- HTML全文浏览量: 59
- PDF下载量: 687
- 被引次数: 0
出版历程
- 收稿日期: 2013-08-02
- 网络出版日期: 2014-07-20

Numerical method of aeroelasticity based on radial basis function interpolation

School of Astronautics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

摘要

摘要: 动网格与界面数据传递方法是气动弹性计算的主要关键技术.将径向基函数（RBF，Radial Basis Function）插值引入气动弹性计算，介绍了径向基函数的概念并给出其应用于动网格及界面数据传递的基本方法.对AGARD 445.6机翼颤振问题进行了计算流体动力学（CFD，Computational Fluid Dynamics）/计算结构动力学（CSD，Computational Structure Dynamics）耦合计算，在不同的来流速度条件下得到了振动收敛、等幅谐振及振动发散的现象，临界颤振速度及颤振频率与实验数据符合良好，验证了径向基函数插值方法用于气动弹性计算的有效性.
- 气动弹性 /
- 径向基函数 /
- 动网格 /
- 界面数据传递 /
- AGARD 445.6机翼
Abstract: Proper and effective means of moving mesh and data exchange are the key points for aeroelasticity analysis. Radial basis function interpolation was introduced and used for aeroelasticity simulation, and the way how it was used in mesh deformation and data exchange was proposed. A computational method coupling computational fluid dynamics (CFD) and computational structure dynamics (CSD) was employed in solving the AGARD 445.6 wing flutter problem. In order to obtain different vibration phenomena including amplitude attenuation, equal amplitude resonance and amplitude increase, solutions under several upper stream velocity conditions were computed. Flutter speed and flutter frequency results are both in accordance with experimental data, which means that the radial basis function interpolation method is valid and can be used in aeroelasticity analysis.
- aeroelasticity /
- radial basis function /
- moving grid /
- data exchange /
- AGARD wing 445.6

HTML全文

参考文献(19)

[1]	陈桂彬, 邹丛青, 杨超.气动弹性设计基础[M].北京:北京航空航天大学出版社, 2004 Chen Guibin, Zou Congqing, Yang Chao.Aeroelastic design[M].Beijing:Beihang University Press, 2004(in Chinese)
[2]	邢景棠, 周盛, 崔尔杰.流固耦合力学概述[J].力学进展, 1997, 27(1):19-38 Xing Jingtang, Zhou Sheng, Cui Erjie.A survey on the fluid-solid interaction mechanics[J].Advances in Mechanics, 1997, 27(1): 19-38(in Chinese)
[3]	安效民, 徐敏, 陈士橹.多场耦合求解非线性气动弹性的研究综述[J].力学进展, 2009, 39(3):284-298 An Xiaomin, Xu Min, Chen Shilu.An overview of CFD/CSD coupled solution for nonlinear aeroelasticity[J].Advances in Mechanics, 2009, 39(3):284-298(in Chinese)
[4]	Baum J D, Luo H, Mestreau E L, et al.Recent developments of a coupled CFD/CSD methodology[C]//15th AIAA Computational Fluid Dynamics Conference 2001.Reston, VA:AIAA, 2001:1087-1097
[5]	苏波, 钱若军, 袁行飞.流固耦合界面信息传递理论和方法研究进展[J].空间结构, 2010, 16(1):3-10 Su Bo, Qian Ruojun, Yuan Xingfei.Advances in research on theory and method of data exchange on coupling interface for FSI analysis[J].Spatial Structures, 2010, 16(1):3-10(in Chinese)
[6]	Banita J T. Unsteady Euler airfoil solutions using unstructured dynamic meshes[J].AIAA Journal, 1990, 28(8):1381-1388
[7]	Anderson W K, Venkatakrishnan V.Aerodynamic design optimization on unstructured grids with a continuous adjoint formulation[J].Computers & Fluids, 1999:28(4/5):443-480
[8]	Degand C, Farhat C.A three-dimensional spring analogy method for unstructured dynamic meshes[J].Computers and Structures, 2002, 80(3):305-316
[9]	Frank R. Scattered data interpolation:tests of some methods[J].Math Comp, 1982, 38(157):181-200
[10]	Beckert A, Wendland H.Multivariate interpolation for fluid-str-ucture-interaction problems using radial basis functions[J].Aerospace Science and Technology, 2001, 5(2):125-134
[11]	Rendall T C S, Allen C B.Efficient mesh motion using radial basis functions with data reduction algorithms[J].Journal of Computational Physics, 2009, 228:6231-6249
[12]	苏波, 石启印, 钱若军.径向基函数应用于流固耦合分析初探[J].工程力学, 2013, 30(1):59-63 Su Bo, Shi Qiyin, Qian Ruojun.Preliminary study on the use of radial basis function in fluid-structure interaction analysis[J].Engineering Mechanics, 2013, 30(1):59-63(in Chinese)
[13]	林言中, 陈兵, 徐旭.径向基函数插值方法在动网格技术中的应用[J].计算物理, 2012, 29(2):191-197 Lin Yanzhong, Chen Bing, Xu Xu.Radial basis function interpolation in moving mesh technique[J].Chinese Journal of Computational Physics, 2012, 29(2):191-197(in Chinese)
[14]	阎超. 计算流体力学方法及应用[M].北京:北京航空航天大学出版社, 2006 Yan Chao.Computational fluid dynamics method and its application[M].Beijing:Beihang University Press, 2006(in Chinese)
[15]	陈道礼, 饶刚, 魏国前.结构分析有限元法的基本原理及工程应用[M].北京:冶金工业出版社, 2012 Chen Daoli, Rao Gang, Wei Guoqian.Finite element analysis and engineering application[M].Beijing:Metallurgical Industry Press, 2012(in Chinese)
[16]	安效民, 徐敏, 陈士橹.二阶时间精度的CFD/CSD耦合算法研究[J].空气动力学学报, 2009, 27(5):547-552 An Xiaomin, Xu Min, Chen Shilu.Analysis for second order time accurate CFD/CSD coupled algorithms[J].Acta Aerodynamica Sinica, 2009, 27(5):547-552(in Chinese)
[17]	Wendland H. On the smoothness of positive definite and radial functions[J].Computational and Applied Mathematics, 1999, 101(1):177-188
[18]	Buhmann M D. Radial basis functions[J].Acta Numerica, 2000, 9:1-38
[19]	Yates E C. AGARD standard aeroelastic configurations for dynamic response I-wing 445.6[R].AGARD Report No.765, 1988