Abstract In this work, the local correlation-based one-equation transition model (Menter, F.R., Smirnov, P.E., Liu, T. and Avancha, R., A one-equation local correlation-based transition model. Flow, Turbulence and Combustion, vol. 95, no. 4, pp. 583–619, 2015.) is transformed into a zero-equation transition model. The new model provides an attractive choice in terms of quick implementation of a transition model in existing turbulent flow solvers with Menter’s shear-stress transport (SST) turbulence model, as it only introduces three extra source terms in the transport equation of turbulent kinetic energy. The model is validated against a set of benchmark flat-plate test cases: T3 series and SK, and also subsonic flows past two different airfoils: Aerospatiale A-airfoil ( R e = 2.1 million) and E387 ( R e = 0.2 million), and finally applied to a transonic flow over 3D DLR-F5 wing ( R e = 1.5 million). Results show that the proposed model produces similar transition prediction as the one-equation transition model, with a reduced computational effort. The computations are performed with an in-house finite-volume solver for compressible turbulent flows on block-structured grids.

中文翻译：

---

基于局部相关的零方程转移模型

摘要 在这项工作中，基于局部相关的一个方程转换模型（Menter, FR, Smirnov, PE, Liu, T. and Avancha, R., A one-equation local correlation-based transition model. Flow, Turbulence and Combustion , vol. 95, no. 4, pp. 583–619, 2015.) 转化为零方程转换模型。在使用 Menter 的剪切应力传输 (SST) 湍流模型在现有湍流求解器中快速实现过渡模型方面，新模型提供了一个有吸引力的选择，因为它仅在湍动能的传输方程中引入了三个额外的源项。该模型针对一组基准平板测试案例进行了验证：T3 系列和 SK，以及经过两种不同翼型的亚音速流：Aerospatiale A 翼型（R e = 210 万）和 E387（R e = 20 万），并最终应用于 3D DLR-F5 机翼上的跨音速流（Re = 150 万）。结果表明，所提出的模型产生与单方程转换模型类似的转换预测，并减少了计算工作量。计算是使用内部有限体积求解器执行的，用于块结构网格上的可压缩湍流。