A high-order Navier-Stokes solver based on the flux reconstruction (FR) or the correction procedure via reconstruction (CPR) formulation is employed to perform a direct numerical simulation (DNS) and large eddy simulations (LES) of a well-known benchmark problem – transitional flow over the low-pressure T106C turbine cascade. Hp-refinement studies are carried out to assess the resolution requirement. A 4th order (p3) simulation on the fine mesh is performed with a DNS resolution to establish a "converged" solution, including the mean pressure and skin-friction distributions, and the power spectral density in the wake. Then LES on the coarse and fine meshes with lower order schemes are conducted to assess the mesh and order dependence of the solution. In particular, we study the error in the transition location, the mean skin-friction distribution, and the mean lift and drag coefficients. These h- and p-refinement studies provide a much-needed guideline in h- and p- resolutions to achieve a certain level of accuracy for industrial LES applications.

中文翻译：

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基于T106C涡轮机流动DNS的工业LES的网格分辨率

基于通量重建（FR）或通过重建的校正程序（CPR）公式的高阶Navier-Stokes求解器用于执行众所周知基准的直接数值模拟（DNS）和大涡模拟（LES）问题–低压T106C涡轮机级联上的过渡流。对Hp进行细化研究以评估分辨率要求。使用DNS分辨率对细网格进行四阶（p3）仿真，以建立“收敛”解决方案，包括平均压力和皮肤摩擦分布以及尾流中的功率谱密度。然后对具有低阶方案的粗网格和细网格进行LES，以评估该解的网格和阶次依赖性。特别是，我们研究过渡位置的误差，平均皮肤摩擦力分布以及平均升力和阻力系数。这些h和p细化研究为h和p分辨率提供了急需的指导，以实现工业LES应用的一定水平的精度。