Verification and Validation of the Spalart Allmaras Model with Rotation and Curvature Correction for Incompressible and Compressbile Flows

Michael Alletto
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Abstract

The Spalart-Allmaras turbulence model is the model which gets the highest technological readiness level in the NASA turbulence model resource home page. The model is widely used to predict external incompressible and compressbile flows. Different corrections to this model incorporating additional physical effects are presented on the same home page. Unfortunately none of these corrections are available in the official OpenFOAM version. Furthermore, no publicly available repository which contains the full set of corrections suggested by Shur et al. [1] to account for curvature and rotation effects was found. In this technical note, the rotation and streamline curvature correction is incorporated into the Spalart-Allmaras model in order to overcome this limitation. The same equations as suggested in Shur et al. [1] are implemented and verified by means of the incompressible flow in a rotating channel, a 2D bump flow in a channel and a channel flow exhibiting a U-turn. Regarding the rotating channel flow and the flow in a U-turn some quantitative differences remain with respect to the results of Shur et al. [1]. For the rotating channel flow, a careful consistency check with respect to the analytical relations leading to the computation of the factor multiplied with the production term was made. No inconsistencies in the implementation where found. Unfortunately the exact reason for the differences between the present results compared to the computations of Shur et al. [1], was not found. The interested readers are encouraged to help to clarify these issues. In the fourth test case it is shown that the model predicts a more correct turbulent viscosity distribution in the transonic flow around a delta wing. Applying the streamline and curvature corrections to the Spalart-Allmaras model predicts an earlier vortex breakdown compared to the standard Spalart-Allmaras model for a high angle of attack configuration. The agreement with the reference experiments is much better when using the corrections proposed by Shur et al. [1] to the Spalart-Allmaras compared to the standard Splart-Allmaras model.
不可压缩流和可压缩流的旋转和曲率修正Spalart Allmaras模型的验证与验证
Spalart-Allmaras湍流模型是NASA湍流模型资源主页中技术就绪程度最高的模型。该模型被广泛用于预测外部不可压缩和可压缩流动。在同一主页上展示了对该模型的不同修正,包括额外的物理效果。不幸的是,官方OpenFOAM版本中没有这些修正。此外,没有发现公开可用的存储库包含Shur等人[1]建议的完整校正集,以考虑曲率和旋转效应。在本技术说明中,旋转和流线曲率校正被纳入Spalart-Allmaras模型,以克服这一限制。Shur等人[1]提出的相同方程通过旋转通道中的不可压缩流动、通道中的二维凹凸流动和u型转弯通道流动来实现和验证。对于旋转通道流动和u形转弯流动,Shur等[1]的结果在数量上仍存在一些差异。对于旋转通道流动,对导致因子与生产项相乘计算的解析关系进行了仔细的一致性校核。在实现中没有发现不一致的地方。不幸的是,目前的结果与Shur等人[1]的计算结果之间存在差异的确切原因尚未找到。我们鼓励有兴趣的读者帮助澄清这些问题。在第四个测试用例中表明,该模型预测了三角翼周围跨声速流动中更准确的湍流粘度分布。将流线和曲率修正应用于Spalart-Allmaras模型,与标准的Spalart-Allmaras模型相比,在高攻角配置下,可以预测更早的涡旋破裂。与标准Splart-Allmaras模型相比,Shur等[1]对Spalart-Allmaras模型提出的修正与参考实验的一致性要好得多。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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