In this paper, the Implicit Large-Eddy Simulation (ILES) is investigated on the flow around a square cylinder incorporating an unstructured Weighted Essential Non-Oscillatory (WENO) reconstruction method for a Reynolds number of 22,000. Simulations are undertaken in the framework of open-source package OpenFOAM and additional implicit 2nd/3rd-order WENO scheme on the convective term of the viscous incompressible Navier-Stokes Equations. A 2nd-order Euler implicit time integration and Pressure-Implicit Splitting-Operator (PISO) algorithm is used to for the pressure-velocity coupling. Conventional LES with Wall Adapting Local Eddy Viscosity (WALE) model is also carried out as a baseline. The results are compared to high fidelity experiment, DNS data and conventional LES with dynamic Smagorinsky model from previous work. Results show favorable performance for ILES with 3rd-order WENO scheme compared with the conventional LES with dynamic Smagorinsky model and similar performance against LES with WALE model. Results also show acceptable predictions over time-averaged statistics with less computational effort for the ILES of 2nd-order WENO scheme. Shear layer flow analysis suggests that both ILES and LES face similar challenges with small quantities, such as shear stress. Finally, simulations are capturing von Kármán vortex, Kelvin-Helmholtz instability and induced frequency changes.

在本文中，隐式大涡模拟（ILES）研究了方筒周围的流动，该流动结合了22,000雷诺数的非结构加权基本非振荡（WENO）重建方法。在开源软件包OpenFOAM和附加的隐式二阶/三阶WENO方案的框架下，对粘性不可压缩的Navier-Stokes方程的对流项进行了仿真。二阶欧拉隐式时间积分和压隐式分裂算子（PISO）算法用于压力-速度耦合。具有壁适应局部涡流粘度（WALE）模型的常规LES也被作为基线。将结果与以前工作中使用动态Smagorinsky模型的高保真实验，DNS数据和常规LES进行比较。结果表明，与具有动态Smagorinsky模型的常规LES相比，具有三阶WENO方案的ILES的性能良好，并且与具有WALE模型的LES相比，具有类似的性能。结果还显示，对于二阶WENO方案的ILES，在时间平均统计量上的可接受的预测具有较少的计算工作量。剪切层流动分析表明，ILS和LES都面临着少量的类似挑战，例如剪切应力。最后，模拟捕获了冯·卡尔曼涡旋，开尔文·海姆霍兹不稳定性和诱发的频率变化。结果还显示，对于二阶WENO方案的ILES，在时间平均统计量上的可接受的预测具有较少的计算工作量。剪切层流动分析表明，ILS和LES都面临着少量的类似挑战，例如剪切应力。最后，模拟捕获了冯·卡尔曼涡旋，开尔文·海姆霍兹不稳定性和诱发的频率变化。结果还显示，对于二阶WENO方案的ILES，在时间平均统计量上的可接受的预测具有较少的计算工作量。剪切层流动分析表明，ILS和LES都面临着少量的类似挑战，例如剪切应力。最后，模拟捕获了冯·卡尔曼涡旋，开尔文·海姆霍兹不稳定性和诱发的频率变化。