Abstract In this work, the drag force correlation specific for fixed random arrays of elliptical cylinders is formulated under Re = 0.1–100 using Lattice Boltzmann method (LBM) and discrete element method (DEM). The LBM-DEM model is validated by comparing with experimental and simulation data. To achieve this, first, a new simple drag force correlation format is developed, containing modified permeability (K′) and inertial terms (α, λ). Then the effects of elliptical cylinder shape (Ar) on K′, α, and λ for random arrays of elliptical cylinders are studied, where Ar ranges from 0.3 to 1.0; and by curve-fitting the simulation results, the correlations of K′, α and λ are formulated as a function of Ar. One can obtain the reliable drag force correlation between the fluid and elliptical cylinders in a fixed random array via specifying K′, α and λ for a given Ar and then plugging them in the proposed format.

中文翻译：

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流体流经椭圆圆柱随机阵列阻力特性的数值研究

摘要 在这项工作中，使用格子玻尔兹曼方法 (LBM) 和离散元方法 (DEM) 在 Re = 0.1–100 下制定了特定于椭圆圆柱固定随机阵列的阻力相关性。LBM-DEM 模型通过与实验和模拟数据的比较得到验证。为了实现这一点，首先，开发了一种新的简单阻力相关格式，其中包含修改后的渗透率 (K') 和惯性项 (α, λ)。然后研究了椭圆圆柱形状 (Ar) 对椭圆圆柱随机阵列的 K'、α 和 λ 的影响，其中 Ar 的范围为 0.3 到 1.0；并通过对模拟结果进行曲线拟合，将 K'、α 和 λ 的相关性公式化为 Ar 的函数。可以通过指定 K' 来获得固定随机阵列中流体和椭圆圆柱之间的可靠拖曳力相关性，