一种改进的浸入运动边界算法

付少童; 贾龙菲; 王利民

doi:10.7638/kqdlxxb-2022.0067

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一种改进的浸入运动边界算法

研究论文 | 更新时间：2026-05-28

- 一种改进的浸入运动边界算法
- An improved algorithm for immersed moving boundary
- 空气动力学学报 2023年41卷第6期页码：109-117
- 作者机构：
  
  1. 中国科学院过程工程研究所多相复杂系统国家重点实验室,北京,100190
  2. 中国科学院大学化学工程学院,北京,100049
  3. 沈阳化工大学化学工程学院,沈阳,110142
- 作者简介：
  
  付少童（1998-），男，博士研究生，研究方向：颗粒多相流计算. E-mail：fushaotong20@ipe.ac.cn
  王利民*（1979-），男，博士，研究员，研究方向：多相湍流. E-mail：lmwang@ipe.ac.cn
- 基金信息：
  
  国家数值风洞工程（NNW2020ZT1-A20）;国家自然科学基金（51776212, 91434113）;国家重点研发计划（2018YFB1500902）;中国科学院前沿科学重点研究计划（QYZDB-SSW-SYS029）
- DOI：10.7638/kqdlxxb-2022.0067
  中图分类号： O357
- 纸质出版：2023
- 稿件说明：
移动端阅览
付少童, 贾龙菲, 王利民. 一种改进的浸入运动边界算法[J]. 空气动力学学报, 2023, 41(6): 109−117.

FU Shaotong, JIA Longfei, WANG Limin. An improved algorithm for immersed moving boundary[J]. 2023, 41(6): 109-117.
付少童, 贾龙菲, 王利民. 一种改进的浸入运动边界算法[J]. 空气动力学学报, 2023, 41(6): 109−117. DOI： 10.7638/kqdlxxb-2022.0067

FU Shaotong, JIA Longfei, WANG Limin. An improved algorithm for immersed moving boundary[J]. 2023, 41(6): 109-117. DOI： 10.7638/kqdlxxb-2022.0067.

摘要

浸入运动边界是数值处理流固耦合作用的主要方法之一，其原始权重函数根据经验确定且形式固定，难以准确地定量描述复杂的流固现象。本文提出了一种新的权重函数对格子Boltzmann方法框架下的浸入运动边界进行修正，通过假定零固含率处的权重因子多阶导数为0，引入可调参数

增强权重函数对固含率的关联，实现了对固体边界渗透性能的改进。对静止圆柱绕流、Taylor-Couette流和振动圆柱绕流3个算例开展数值实验，结果表明：随着雷诺数的增加，原始权重函数预测的升阻力系数均高于文献结果，严重低估了边界处流体组分的作用；当新权重函数中的参数

为3时，改进的浸入运动边界效果最佳；新权重函数增强了固体边界的渗透率，提高了流场的预测精度，使平均误差降低了38.5%；最后，运用新权重函数成功地复现了振动圆柱绕流的锁频现象，表明改进的浸入运动边界在处理复杂的流固耦合问题方面具有广阔的应用前景。

Abstract

Immersed moving boundary is one of the important numerical methods for modeling fluid-structure interaction. However

its original weighting function to determine fluid-solid interaction is empirical and its form is fixed

which is difficult to predict complex fluid-structure phenomena accurately and quantitatively. In this study

a new weighting function is proposed to improve the immersed moving boundary in the framework of the lattice Boltzmann method. By assuming that the multi-order derivative of the weighting factor at zero solid volume fraction is 0

an adjustable parameter

is introduced to enhance the correlation between the weighting

function and the solid volume fraction

which improves the permeability performance of the solid boundary. The new weighting function is tested against three benchmark cases namely

flow around a stationary cylinder

Taylor-Couette flow

and flow around an oscillating cylinder. Numerical results show that

with the increase of the Reynolds number

the lift-drag coefficients predicted by the original weighting function are higher than the literature results

which seriously underestimates the effect of fluid components at the boundary. In addition

when the parameter

in the new weighting function is 3

the effect of the improved immersed moving boundary is optimal. Furthermore

the new weighting function enhances the permeability of the solid boundary

improves the prediction accuracy of the fluid field

and reduces the averaged error up to 38.5%. Finally

the frequency-locking phenomenon encountered in flow around an oscillating cylinder is successfully reproduced by using the new weighting function

demonstrating the improved immersed moving boundary is promising in dealing with complex fluid-structure interaction problems.

关键词

Keywords

references

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