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SST湍流模型在超声速激波-边界层干扰中的改进

IMPROVED SST TURBULENCE MODEL FOR SUPERSONIC SHOCK WAVE-BOUNDARY LAYER INTERACTIONS

  • 摘要: 激波-边界层干扰作为高速飞行器控制面和进气道等关键部位的典型流动特征, 所诱导的流动分离与再附、局部气动力热增强将严重危害飞行器气动性能. 当前工业界仍然主要采用雷诺平均方法对其进行数值模拟, 其中广泛采用的剪切应力输运k-ω两方程(SST)模型由于基于平衡流动发展而来, 在强逆压梯度和非平衡输运的激波干扰区存在显著预测偏差. 本研究通过对比分析24°压缩拐角流动的直接数值模拟数据, 发现原始SST模型低估了拐角附近湍动能以及其产生项, 故本文通过对模型中湍动能输运方程的生成项前构建了一个与压力梯度相关的新型调节函数. 该函数仅在激波干扰区附近激活, 而在其他区域保持不变, 以针对性地增强干扰区域附近的湍动能, 提高模型对激波-边界层干扰的预测能力. 通过对不同强度的压缩拐角流动和入射斜激波平板干扰流动等算例进行测试, 结果表明, 改进SST模型具有与标准模型一致的边界层预测能力, 但对干扰区附近的物面摩擦阻力、压力以及分离泡的预测精度均有明显提高.

     

    Abstract: Shock wave-boundary layer interaction (SWBLI), as a typical flow phenomenon observed in critical components of high-speed flight vehicles such as control surfaces and inlets, induces detrimental effects including flow separation and reattachment, as well as localized enhancement of aerodynamic forces and heat loads, which severely compromise the vehicle's aerodynamic performance. Currently, the Reynolds-Averaged Navier-Stokes approach remains the primary numerical simulation method in industrial applications. However, the widely adopted Shear Stress Transport k-ω (SST) turbulence model, originally developed for equilibrium flows, exhibits significant deviations in regions with strong adverse pressure gradients and non-equilibrium transport characteristics within shock-dominated zones. Through comparative analysis of direct numerical simulation data for 24° compression ramp flow, this study reveals that the standard SST model underestimates turbulent kinetic energy and its production term near the corner. To address this limitation, we propose a novel pressure-gradient-dependent modulation function integrated into the TKE transport equation. This function is specifically activated within shock interaction regions while maintaining baseline behavior in other zones, aiming to selectively amplify TKE near interference areas and enhance model prediction capability for SWBLI. The improved SST model was rigorously validated using several cases, including compression ramp and oblique shock impingement on a flat plate interaction with varying intensities. Results demonstrate that the modified model retains the boundary layer prediction accuracy of the standard SST model, while achieving significant improvements in predicting key parameters such as wall skin friction, wall pressure, and the location of separation bubble in the vicinity of interaction regions.

     

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