The local-correlation laminar-turbulent transition model of Langtry and Menter has seen use over a wide range of fluid dynamic flows. The model is often coupled to two-equation turbulence models via modification to the turbulent kinetic energy equation. A near-wall analysis of turbulent kinetic energy and specific dissipation shows that the coupling of the transition model introduces singular behavior in the turbulent kinetic energy destruction and diffusion terms. This causes the fully turbulent behavior post-transition to deviate from that intended by the shear stress transport model, raising uncertainty in its ability to model relevant turbulent flow physics. An extensively verified Reynolds-averaged Navier–Stokes solver was used to numerically examine the near-wall behavior for a suite of practical test cases, confirming the singular behavior of the destruction term. From the new understanding of the near-wall behavior, a new turbulence index function is derived to detect laminar-turbulent transition for practical aerodynamic configurations. The index is designed such that a value of 0 indicates laminar flow and a value of 1 indicates turbulent flow. Several two-dimensional and three-dimensional test cases were used to test the new turbulence index. The new turbulence index was found to be more reliable and less ambiguous for transition detection in comparison to that designed for use with a shear stress transport model.

Langtry 和 Menter 的局部相关层流-湍流过渡模型已在广泛的流体动力学流动中得到使用。该模型通常通过对湍流动能方程的修改与两方程湍流模型耦合。湍动能和比耗散的近壁分析表明，过渡模型的耦合在湍动能破坏和扩散项中引入了奇异行为。这会导致过渡后的完全湍流行为偏离剪切应力传输模型的预期行为，从而增加了其模拟相关湍流物理的能力的不确定性。使用经过广泛验证的雷诺平均 Navier-Stokes 求解器对一组实际测试案例的近壁行为进行数值检查，确认破坏项的奇异行为。根据对近壁行为的新理解，推导出了一种新的湍流指数函数来检测实际空气动力学配置的层流-湍流转变。该指数被设计为值 0 表示层流，值 1 表示湍流。几个二维和三维测试用例被用来测试新的湍流指数。与设计用于剪切应力传输模型的湍流指数相比，发现新的湍流指数对于过渡检测更可靠且更不模糊。该指数被设计为值 0 表示层流，值 1 表示湍流。几个二维和三维测试用例被用来测试新的湍流指数。与设计用于剪切应力传输模型的湍流指数相比，发现新的湍流指数对于过渡检测更可靠且更不模糊。该指数被设计为值 0 表示层流，值 1 表示湍流。几个二维和三维测试用例被用来测试新的湍流指数。与设计用于剪切应力传输模型的湍流指数相比，发现新的湍流指数对于过渡检测更可靠且更不模糊。