摘要
CFD/CSD耦合数值模拟是解决复杂气动弹性问题精度最高的方法,但同时也是计算效率最低的方法。研究了气动弹性系统的时域POD降阶模型方法,并引入平衡截断技术进一步降低时域POD/ROM的阶数,从而有效克服了时域POD/ROM阶数过高的缺点。以AGARD445.6机翼为例,说明了时域POD/ROM建模的各个细节,并将其用于气动弹性动响应及颤振边界的预测。计算结果表明,POD/ROM具有接近CFD/CSD耦合计算的精度,同时又大大提高了计算效率约1到2个量级。
CFD/CSD coupled numerical simulation is the most accurate method in aeroelasticty, but it is also with the least computation efficiency. A reduced order model （ROM） based on proper orthogonal decomposition （POD） for aeroelastic system was investigated in this paper. In order to further reduce the higher order of time-domain POD/ROM relative to frequency-domain POD/ROM, the balanced truncation method in control theory was introduced. The detail of the construction of time-domain POD/ROM was demonstrated by AGARD 445.6 wing and the ROM was then used to predict the aeroelastic dynamic response and flutter boundary. The numerical results show that the POD/ROM nearly has the same accuracy as the CFD/CSD coupled method and improves the computation efficiency about 1 - 2 order of magnitude.
出处
《宇航学报》
EI
CAS
CSCD
北大核心
2009年第5期1765-1769,1796,共6页
Journal of Astronautics
基金
国家973项目(613550103)
中国博士后基金(20070411130)
关键词
降阶模型
正则正交分解
平衡截断
计算气动弹性
Reduced order model
Proper orthogonal decomposition
Balanced truncation
Computational aeroelasticiy
