We present a variant of the immersed boundary method integrated with octree meshes for highly efficient and accurate Large Eddy Simulations (LES) of flows around complex geometries. We demonstrate the scalability of the proposed method up to $\mathcal{O}(32K)$ processors. This is achieved by (a) rapid in-out tests; (b) adaptive quadrature for an accurate evaluation of forces; (c) tensorized evaluation during matrix assembly. We showcase this method on two non-trivial applications: accurately computing the drag coefficient of a sphere across Reynolds numbers $1-{10}^6$ encompassing the drag crisis regime; simulating flow features across a semi-truck for investigating the effect of platooning on efficiency.

我们提出了一种与八叉树网格集成的浸入边界方法的变体，用于对复杂几何形状周围的流动进行高效和准确的大涡模拟 (LES)。我们证明了所提出的方法的可扩展性高达$\mathcal{哦}(32钾)$处理器。这是通过 (a) 快速输入输出测试实现的；(b) 用于精确评估力的自适应正交；(c) 矩阵组装期间的张量评估。我们在两个重要的应用中展示了这种方法：准确计算跨雷诺数的球体的阻力系数$1-{10}^6$包括阻力危机制度；模拟穿越半卡车的流动特征，以研究排队对效率的影响。