Hybrid RANS–LES approaches have aroused interest for years since they provide unsteady information at a reduced numerical cost compared to LES. In the hybrid context, the use of temporal filtering, to control the energy partition between resolved and modeled scales, ensures a consistent bridging between RANS and LES models. In this regard, a new formulation of Hybrid Temporal Large Eddy Simulation (HTLES) is developed, aiming at improving the theoretical foundation of the model associated with an eddy-viscosity closure. The analytical development is performed, applying the Hybrid-Equivalence criterion, and the model is calibrated in decaying isotropic turbulence. In addition, an upgraded version of the approach is proposed to improve the behavior of the model in near-wall regions, introducing a two-fold shielding function and an internal consistency constraint to provide a suitable control of the RANS-to-LES transition. Applying HTLES to the k–\(\omega\) SST model, the validation process is carried out on channel and periodic-hill flows, over a range of grids and Reynolds numbers. The predictive accuracy and the robustness to grid coarsening are assessed in these cases, ensuring that HTLES offers a cost-saving alternative to LES.

混合RANS-LES方法引起了人们的兴趣，因为与LES相比，它们以较低的数值成本提供了不稳定的信息。在混合环境中，使用时间滤波来控制解析尺度和建模尺度之间的能量分配，可以确保RANS模型和LES模型之间的桥连一致。在这方面，开发了一种新的混合时间大涡模拟（HTLES）公式，旨在改善与涡粘性闭合相关的模型的理论基础。应用混合等效准则进行分析开发，并在衰减的各向同性湍流中对模型进行校准。此外，还提出了该方法的升级版本，以改善模型在近墙区域的行为，引入了双重屏蔽功能和内部一致性约束，以提供对RANS到LES过渡的适当控制。将HTLES应用于k – \（\ omega \） SST模型，在一定范围的网格和雷诺数范围内，对通道和周期性坡道流进行验证过程。在这些情况下，对网格粗化的预测准确性和鲁棒性进行了评估，从而确保HTLES提供了LES节省成本的替代方案。