基于本征正交分解技术的高效气动弹性耦合计算方法

Efficient aeroelastic coupling computation based on proper orthogonal decomposition technique

  • 摘要: 将降阶非定常涡格法与结构动力学方程耦合,构造出一种高效的气动弹性计算模型。计算模型中通过引入伪时间步迭代实现了气动与结构计算的紧耦合。另外,通过本征正交分解方法实现了计算模型的降阶。作为方法验证,文中将该方法应用于进行沉浮振荡运动的柔性薄板的气动弹性计算。计算结果表明,仅通过前7个POD模态就可以对涡格法的全模型进行很好的近似,并且该方法在损失很小精度(约1%)的条件下可以实现计算速度的大幅提升(约10倍)。在本文中,降阶模型在POD分析的样本变化范围内和变化范围外都有很好的表现。

     

    Abstract: An efficient aeroelastic computational model is proposed by coupling reduced unsteady vortex lattice method with structural equations of motion. A tight coupling between aerodynamic and structural equations is fulfilled by the introduction of pseudo-time iteration. A model reducing is carried out by proper orthogonal decomposition (POD) technique. This method is validated by the aeroelastic computation on a plunging foil with spanwise flexibility. The results show that the full model of the vortex lattice method can be well approximated by the superposition of only first 7 POD modes. The computational speed of the current problem can be significantly increased (about 10 times) with very little accuracy loss (about 1%). Moreover, in the current validation test, the method performs equally well both inside and outside the parameter variation range of samples for the POD analysis.

     

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