We carry out a parametric study of conical shock-wave/turbulent boundary-layer interactions by means of numerical simulation of the Reynolds-averaged Navier–Stokes (RANS) equations, with the eventual goal of establishing the predictive capabilities of standard turbulence models. Preliminary assessment of several linear-eddy-viscosity models for the case of planar interactions shows that the $k-\epsilon$ model and its variants as well as the Spalart–Allmaras model yield accurate prediction of the typical interaction length scale. Numerical simulations of conical interactions at high Reynolds numbers under attached and separated flow conditions generally support good capability of RANS to predict the gross flow features, including conditions of incipiently and fully separated flow. Comparison with direct numerical simulation data at low Reynolds numbers suggests that caution should be made because certain turbulence models may yield unrealistic incoming velocity profiles. With this caveat, we again find that RANS models yield satisfactory prediction of the three-dimensional flow organization and associated length scales. The $N$-wave mean wall pressure signature is quantitatively predicted, and accurate information about the fluctuating pressure variance can be obtained from RANS data in a postprocessing stage by extension of correlations developed for low-speed separation bubbles.

我们通过对雷诺平均Navier-Stokes（RANS）方程进行数值模拟，对圆锥形激波/湍流边界层相互作用进行参数研究，最终目标是建立标准湍流模型的预测能力。对平面相互作用情况下的几种线性涡流-粘度模型的初步评估表明，$ķ-\epsilon$模型及其变体以及Spalart-Allmaras模型可对典型相互作用长度尺度进行准确预测。在附着和分离的流动条件下，高雷诺数下的圆锥相互作用的数值模拟通常支持RANS预测总流动特征的良好能力，包括初期和完全分离的流动条件。与低雷诺数下的直接数值模拟数据进行比较表明，应谨慎行事，因为某些湍流模型可能会产生不切实际的传入速度分布。有了这个警告，我们再次发现RANS模型对三维流动组织和相关的长度尺度产生了令人满意的预测。的$ñ$可以平均预测波的平均壁压特征，并且可以通过扩展为低速分离气泡建立的相关性，从后处理阶段的RANS数据中获得有关波动压力方差的准确信息。