A single-equation $R=k/\omega$ 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.

单方程 $\mathrm{电阻}=克/\omega$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。