基于径向基函数插值的气动弹性计算方法

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.

Numerical method of aeroelasticity based on radial basis function interpolation

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.