中文摘要：

对标准κ-ε两方程湍流模型进行Durbin可实现性、Heinz湍流产生项以及Sarkar可压缩性修正三部分修正。尝试考虑结构可压缩性修正的影响，发展了一个同时考虑结构可压缩性修正和膨胀可压缩性修正的湍流模型。以超音速混合层为基础，分析了各个可压缩性修正的相对重要性，并将混合层厚度增长率、湍流动能的计算结果与实验结果进行比较，验证、分析修正模型的效果。结果表明，修正模型能够准确地预测到超音速混合层的发展，使模拟结果和实验结果更加接近。

英文摘要：

Three modifications are added to improve the standard κ-ε turbulence model. They are Durbin realizable, Heinz turbulence production and Sarkar compressibility correction terms. Considering structural compressibility modification, a new model considering structural compressibility and dilatational compressibility modifications all together was proposed. Based on supersonic mixing layers, relative importance of the modifications was analyzed. Comparing the mixing layer growth rate, turbulent kinetic energy with experiment data, the modified model was validated and analyzed. Results show that the new model can reveal the growth compression of supersonic mixing layers and make simulation results closer to experiment data.