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考虑自由转捩的定常/非定常流动Navier-Stokes方程数值求解,对于翼型流动细节的精确模拟和气动力的精确预测均具有十分重要的意义。采用动模态分解(DMD)方法进行流动稳定性分析,再结合e N方法,提出了一套适用于翼型绕流的转捩预测新方法,称为DMD/e N方法。相比于传统的线性稳定性分析方法,DMD方法不需要求解附面层方程和线性稳定性方程,也没有引入平行流假设,具有更好的理论适用性和算法鲁棒性。开展了NLF0416、S809和SD7003等翼型的转捩预测数值验证研究,通过与实验结果以及与传统的基于线性稳定性分析的e N方法的比较,验证了本文所发展的转捩预测新方法在预测翼型的定常流动和非定常流动转捩方面的正确性,也表明了该方法具有解决含层流分离泡的翼型绕流转捩预测的能力。
The numerical solution of the steady-state / unsteady flow Navier-Stokes equation considering free transition is of great significance for accurate simulation of airfoil flow details and accurate prediction of aerodynamic forces. A new set of DMD / eN method is proposed for the analysis of flow stability by dynamic mode decomposition (DMD). Combined with the eN method, a new method for predicting the flow around an airfoil is proposed. Compared with the traditional method of linear stability analysis, the DMD method does not need to solve the equations of overlay and linear stability, nor does it introduce the parallel flow hypothesis, so it has better theoretical applicability and robustness. A numerical study on the prediction of airfoil transitions such as NLF0416, S809 and SD7003 was carried out. Compared with the experimental results and the traditional eN method based on linear stability analysis, the new method of transition prediction is validated by The correctness of predicting the steady flow and unsteady flow transition of an airfoil also shows that this method has the ability to solve the prediction of the airfoil flow around the airfoil with laminar flow.