Yamamoto Ryoichi, Molina John J, Nakayama Yasuya
Department of Chemical Engineering, Kyoto University, Kyoto 615-8510, Japan.
Department of Chemical Engineering, Kyushu University, Fukuoka 819-0395, Japan.
Soft Matter. 2021 Apr 28;17(16):4226-4253. doi: 10.1039/d0sm02210a.
A general method is presented for computing the motions of hydrodynamically interacting particles in various kinds of host fluids for arbitrary Reynolds numbers. The method follows the standard procedure for performing direct numerical simulations (DNS) of particulate systems, where the Navier-Stokes equation must be solved consistently with the motion of the rigid particles, which defines the temporal boundary conditions to be satisfied by the Navier-Stokes equation. The smoothed profile (SP) method provides an efficient numerical scheme for coupling the continuum fluid mechanics with the dispersed moving particles, which are allowed to have arbitrary shapes. In this method, the sharp boundaries between solid particles and the host fluid are replaced with a smeared out thin shell (interfacial) region, which can be accurately resolved on a fixed Cartesian grid utilizing a SP function with a finite thickness. The accuracy of the SP method is illustrated by comparison with known exact results. In the present paper, the high degree of versatility of the SP method is demonstrated by considering several types of active and passive particle suspensions.
本文提出了一种通用方法，用于计算任意雷诺数下各种主体流体中流体动力学相互作用粒子的运动。该方法遵循对颗粒系统进行直接数值模拟（DNS）的标准程序，其中必须将纳维-斯托克斯方程与刚性粒子的运动一致地求解，而刚性粒子的运动定义了纳维-斯托克斯方程必须满足的时间边界条件。平滑剖面（SP）方法提供了一种有效的数值方案，用于将连续流体力学与分散的运动粒子耦合，这些粒子可以具有任意形状。在这种方法中，固体粒子与主体流体之间的尖锐边界被一个涂抹的薄壳（界面）区域所取代，利用具有有限厚度的SP函数，可以在固定的笛卡尔网格上精确解析该区域。通过与已知的精确结果进行比较，说明了SP方法的准确性。在本文中，通过考虑几种类型的主动和被动粒子悬浮液，证明了SP方法的高度通用性。
