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为了使二维线性稳定性理论能够适应现代CFD求解技术,通过求解Falkner-Skan边界层相似性方程获得各个形状因子下的相似速度型。基于线性稳定性理论,对各个速度型进行稳定性分析从而获得对应不同速度型的扰动放大因子包络线。最后使用标量输运方程的形式实现包络近似方法中放大因子的当地化求解,并结合原始γ-Re_(θt)转捩模型中的间歇因子输运方程,实现了自然转捩和分离泡转捩的建模。使用该输运模型对S&K平板、S809翼型、NLR7301翼型和DLR-F5机翼进行转捩预测,结果均与试验结果吻合较好,验证了该模型构建的合理性和可行性。
In order to adapt the two-dimensional linear stability theory to the modern CFD solution, the similar velocity pattern under each form factor was obtained by solving the Falkner-Skan boundary layer similarity equation. Based on the linear stability theory, the stability analysis of each speed type is carried out to obtain the envelope of disturbance amplification factor corresponding to different speed types. Finally, the localization of the amplification factor in the envelope approximation method is solved by using the form of scalar transport equation. Combined with the intermittent factor transport equation in the original γ-Re_ (θt) transition model, the natural transition and the separation of bubbles are achieved建 modeling. The transport model is used to predict the rotation of S & K slab, S809 airfoil, NLR7301 airfoil and DLR-F5 airfoil. The results are in good agreement with the experimental results, which proves the rationality and feasibility of the model.