Abstract Transition modelling represents a key ingredient for improving the performance predictions of many industrial applications. Among transition models, local formulations seem to guarantee better robustness, accuracy and easiness of implementation in modern CFD solvers. These models have been proposed in the finite volume context to predict the laminar-turbulent transition, but only few attempts have been made in the high-order framework. In this paper a new phenomenological transition model based on the concept of laminar kinetic energy has been proposed and implemented in a high-order accurate Discontinuous Galerkin code, named MIGALE. The transition model is validated and assessed by computing the transitional flow around flat plates with zero/adverse pressure gradients and through different turbine nozzles (T106A and LS89) for different values of Reynolds number and turbulence intensity. The computed results have been compared with experimental data and reference numerical solutions.

中文翻译：

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RANS 和 kL−k−log(ω) 方程的不连续 Galerkin 解用于自然和旁路过渡

摘要 转换建模是改进许多工业应用性能预测的关键因素。在转换模型中，局部公式似乎可以保证在现代 CFD 求解器中实现更好的鲁棒性、准确性和易用性。这些模型已经在有限体积环境中被提出来预测层流-湍流转变，但在高阶框架中只进行了很少的尝试。在本文中，提出了一种基于层流动能概念的新现象学转变模型，并在名为 MIGALE 的高阶精确不连续伽辽金代码中实现。通过计算具有零/逆压力梯度的平板周围以及通过不同涡轮喷嘴（T106A 和 LS89）的不同雷诺数和湍流强度值的过渡流来验证和评估过渡模型。计算结果与实验数据和参考数值解进行了比较。