Second‐order boundary element method calculations of hydrodynamic interactions between particles in close proximity
Second‐order boundary element method calculations of hydrodynamic interactions between particles in close proximity
复制标题
邻近颗粒间流体动力相互作用的二阶边界元法计算
DOI：
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发表时间：
1992
期刊：
影响因子：
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通讯作者：
S. Advani
中科院分区：
文献类型：
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作者：
C. Chan;A. Beris;S. Advani
开发了二阶边界元技术来模拟任意形状的多个颗粒之间的 3D 流体动力相互作用。本文报告了广泛验证程序的结果，旨在证明该技术的收敛特性，特别是在粒子非常接近的情况下。二次元在精度、计算机存储和所需的CPU时间方面优于低阶元，从而导致整体计算效率的显着提高。超参数离散化比等参数离散化提高了精度，但降低了方法的收敛速度。当颗粒间间隙变得非常小时（小于颗粒半径的 1%），由于间隙区域中元素贡献的确定不准确，数值解会发散。开发了一种自适应子域积分方案，该方案显着提高了积分精度，并为低至颗粒直径 0-01% 的极小间隙问题提供了收敛解决方案。
A second-order boundary element technique was developed to simulate the 3D hydrodynamic interactions between multiple particles of arbitrary shape. This paper reports the results of an extensive validation procedure aimed at demonstrating the convergence characteristics of the technique, especially in cases where the particles are in close proximity. The quadratic elements are superior to the lower-order elements in terms of accuracy, computer storage and CPU time required, thus resulting in a significant improvement in the overall computational efficiency. Superparametric discretization improves the accuracy over isoparametric discretization but lowers the convergence rate of the method. When the interparticle gap becomes very small (less than 1% of the particle radius), the numerical solution diverges owing to inaccurate determination of the element contributions in the gap region. An adaptive subdomain integration scheme was developed that dramatically improved the integration accuracy and provided convergent solutions for problems of very small gaps down to 0–01% of the particle diameter.