Supervised learning with probability interpretation in airfoil transition judgment

Transition prediction has always been a frontier issue in the field of aerodynamics. A supervised learning model with probability interpretation for transition judgment based on experimental data was developed in this paper. It solved the shortcomings of the point detection method in the experiment, that which was often only one transition point could be obtained, and comparison of multi-point data was necessary. First, the Variable-Interval Time Average (VITA) method was used to transform the fluctuating pressure signal measured on the airfoil surface into a sequence of states which was described by Markov chain model. Second, a feature vector consisting of one-step transition matrix and its stationary distribution was extracted. Then, the Hidden Markov Model (HMM) was used to pre-classify the feature vectors marked using the traditional Root Mean Square (RMS) criteria. Finally, a classification model with probability interpretation was established, and the cross-validation method was used for model validation. The research results show that the developed model is effective and reliable, and it has strong Reynolds number generalization ability. The developed model was theoretically analyzed in depth, and the effect of parameters on the model was studied in detail. Compared with the traditional RMS criterion, a reasonable transition zone can be obtained using the developed classification model. In addition, the developed model does not require comparison of multi-point data. The developed supervised learning model provides new ideas for the transition detection in flight experiments and other experiments.     

基于数字孪生的航班链延误动态预测模型

针对复杂多变的航班运行环境，提出一种基于数字孪生的航班链延误动态预测模型，以改善传统预测方法的精度及自适应性。模型基于数字孪生航班链系统构建，采用滑动窗口下的多通道特征建模完成单元级航班延误预测，并提出一种混合优化策略进行模型参数的动态优化，最后通过孪生数据驱动的链式分析方法实现了全航班链的延误分析与修正。采用国内航班数据进行实验，得到在各个窗口下的航班延误平均绝对误差（Mean absolute error, MAE）为11.79 min，低于其他基线模型和静态模型；且引入孪生数据驱动分析和修正后，紧随其后的航班预测误差比此前进一步降低了6.44%。结果表明，模型有利于数字孪生航班链系统实现虚实交互，并具有优良的预测精度和自适应性。