In this study, wall modeled large-eddy simulations (LES) were performed with a finite volume method for a 25^∘ compression-expansion ramp to investigate the different aspects of the 3D interaction of shock wave with a turbulent boundary layer. The hybrid initialization and dynamic grid adaption techniques were employed to decrease the computational cost and numerical errors. Shadowgraph contours, presenting Laplacian of density, were used to analyze structures of fine flow to have a distinct illustration of shock-wave structures. The simulated results were validated against experimental data in the same geometrical and boundary conditions. According to wall pressure distribution and averaged velocity profiles, there was a good agreement between current numerical results and available data. After validating the numerical methodology, the effects of arched and curved surfaces as passive control methods on shock wave boundary layer interaction (SBLI) were investigated. The results showed that using arched and curved surface, the separation zone can diminish; therefore, these two ways are the efficient passive control methods to reduce the strength of the shock waves.

中文翻译：

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几何参数对压缩斜坡上流动冲击波结构影响的数值研究

在这项研究中，采用有限体积法对 25 ^{∘进行了壁建模大涡模拟 (LES)}压缩膨胀坡道研究冲击波与湍流边界层的 3D 相互作用的不同方面。采用混合初始化和动态网格自适应技术来降低计算成本和数值误差。Shadowgraph 等值线，呈现拉普拉斯密度，用于分析细流结构，以清楚地说明冲击波结构。模拟结果在相同的几何和边界条件下与实验数据进行了验证。根据壁压力分布和平均速度剖面，当前数值结果与可用数据之间存在良好的一致性。在验证了数值方法之后，研究了拱形曲面和曲面作为被动控制方法对冲击波边界层相互作用（SBLI）的影响。结果表明，采用拱形曲面可以减小分离区；因此，这两种方式是降低冲击波强度的有效被动控制方法。