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Formatting Elliptic Model From SST k-ω Closure
International Journal of Computational Fluid Dynamics ( IF 1.1 ) Pub Date : 2021-06-08 , DOI: 10.1080/10618562.2021.1938006
M. M. Rahman 1 , Xinming Li 1 , K. Hasan 1 , Ming Lv 1
Affiliation  

A single-equation R=k/ω turbulence model is devised from the shear-stress transport (SST) k-ω closure without an assumption of equal-diffusion coefficients; evolving diffusion/destruction terms are habitually avoided owing to their numerical stiffness and complexity. Rearranging retained terms yields a production term naturally with an elliptic identity in the R-equation and hence, the production term confronts an elliptic blending. A near-wall damping function is introduced with the elliptic-relaxation model in order to moderate the numerical burden on viscous length-scale coefficient. The overall approach represents a combination of wall-blocking (non-local) and wall-viscous (low-Reynolds number) effects encountered in anisotropic turbulence. A few well-documented test cases are utilised to validate the model competency; a good correlation is obtained with experimental and DNS (direct numerical simulation) data. Comparisons dictate that the present elliptic model remains competitive with widely used SST k-ω and Spalart-Allmaras models.



中文翻译:

从 SST k-ω 闭包格式化椭圆模型

单方程 电阻=/ω湍流模型是根据剪应力输运 (SST) k - ω闭包设计的,没有假设等扩散系数;由于其数值僵化和复杂性,人们习惯性地避免了不断发展的扩散/破坏项。重新排列保留项会自然地产生一个在R 中具有椭圆身份的产生项-方程,因此,产生项面临椭圆混合。椭圆松弛模型引入了近壁阻尼函数,以减轻粘性长度尺度系数的数值负担。整体方法代表了在各向异性湍流中遇到的壁阻塞(非局部)和壁粘性(低雷诺数)效应的组合。一些有据可查的测试用例被用来验证模型能力;实验数据和 DNS(直接数值模拟)数据具有良好的相关性。比较表明,当前的椭圆模型与广泛使用的 SST k - ω和 Spalart-Allmaras模型相比仍然具有竞争力。

更新日期:2021-06-08
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