Structural uncertainty quantification of Reynolds-Averaged Navier–Stokes closures for various shock-wave/boundary layer interaction flows  

作　　者：Fanzhi ZENG Tianxin ZHANG Denggao TANG Jinping LI Chao YAN 

机构地区：[1]School of Aeronautic Science and Engineering,Beihang University,Beijing 100191,China [2]School of Aeronautical Engineering,Air Force Engineering University,Xi’an 710038,China

出　　处：《Chinese Journal of Aeronautics》2024年第3期34-48,共15页中国航空学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.92252201 and 11721202)。

摘　　要：Accurate prediction of Shock-Wave/Boundary Layer Interaction(SWBLI)flows has been a persistent challenge for linear eddy viscosity models.A major limitation lies in the isotropic representation of the Reynolds stress,as assumed under the Boussinesq approximation.Recent studies have shown promise in improving the prediction capability for incompressible separation flows by perturbing the Reynolds-stress anisotropy tensor.However,it remains uncertain whether this approach is effective for SWBLI flows,which involve compressibility and discontinuity.To address this issue,this study systematically quantifies the structural uncertainty of the anisotropy for oblique SWBLI flows.The eigenspace perturbation method is applied to perturb the anisotropy tensor predicted by the Menter Shear–Stress Transport(SST)model and reveal the impacts of anisotropy on the prediction of quantities of interest,such as separation and reattachment positions,wall static pressure,skin friction,and heat flux.The results demonstrate the potential and reveal the challenges of eigenspace perturbation in improving the SST model.Furthermore,a detailed analysis of turbulent characteristics is performed to identify the source of uncertainty.The findings indicate that eigenspace perturbation primarily affects turbulent shear stress,while the prediction error of the SST model is more related to turbulent kinetic energy.

关 键 词：Shock-wave/boundary layer interaction(SWBLI) Turbulence models Uncertainty analysis Eigenspace perturbation Anisotropy 

分 类 号：V211[航空宇航科学与技术—航空宇航推进理论与工程]