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.

中文翻译：

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使用浸入几何分析的自适应八叉树网格的工业规模大涡模拟 (LES)

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在 $\mathcal{O}(32K)$ 处理器上的可扩展性。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：准确计算包含阻力危机机制的雷诺数 $1-10^6$ 上球体的阻力系数；模拟穿越半卡车的流动特征，以研究排队对效率的影响。