In this paper, different compressible correction strategies for k-ω turbulence model are proposed. The dilatation dissipation term, which is significant in compressible flow, is taken into account and modeled in the Favre-averaged k-equation and ω-equation. We propose correction model for the dilation dissipation term based on the gradient Mach number in this paper, the coefficients of which are calibrated from experimental data on compressible turbulent mixed layers, and compare it to the Wilcox, Sarkar, and Heinz correction models. In slope-cavity flow and oblique shock wave/boundary layer interactions, the performance of these corrections is evaluated and compared to experimental data. The new correction has a similar or even better effect in separation prediction, heat flux prediction, and other aspects, and the uncertainty of model form and coefficients can be investigated further.

本文针对k-ω湍流模型提出了不同的可压缩校正策略。在 Favre 平均 k 方程和 ω 方程中考虑并建模了在可压缩流中很重要的膨胀耗散项。本文提出了基于梯度马赫数的膨胀耗散项校正模型，其系数由可压缩湍流混合层的实验数据标定，并将其与Wilcox、Sarkar和Heinz校正模型进行了比较。在斜坡腔流动和倾斜冲击波/边界层相互作用中，这些校正的性能被评估并与实验数据进行比较。新修正在分离预测、热通量预测等方面具有相似甚至更好的效果，