矩形容器中黏性流体的横波谐振：格子Boltzmann浸没边界方法

哈比特 M A; 吴锤结

doi:10.21656/1000-0887.390040

矩形容器中黏性流体的横波谐振：格子Boltzmann浸没边界方法

doi: 10.21656/1000-0887.390040

工业装备结构分析国家重点实验室(大连理工大学);航空航天学院, 辽宁大连 116024

基金项目: 国家自然科学基金（11372068）

详细信息

中图分类号: O35
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- 被引次数: 0
出版历程
- 收稿日期: 2018-01-24
- 修回日期: 2018-03-17
- 刊出日期: 2018-04-15

Transverse Harmonic Oscillation of Rectangular Container With Viscous Fluid: a Lattice BoltzmannImmersed Boundary Approach

State Key Laboratory of Structural Analysis for Industrial Equipment(Dalian University of Technology), School of Aeronautics and Astronautics, Dalian Liaoning 116024, P.R.China

Funds: The National Natural Science Foundation of China (11372068); the National Key Basic Research and Development Program of China (2014CB744104)

摘要

摘要: 将三维格子Boltzmann法（LBM）与浸没边界法（IBM）相结合，研究弹性矩形容器中黏性流体的横波谐振所引起的流动物理特性.提出了一个半微观表达式来计算边界节点处的流体受力.基于薄板弹性变形理论，使用解析变形解法来计算边界所经历的位移.基于该方法的数值模拟结果与固定边界的理论预测结果一致.采用振荡边界模拟展现了与理论预期相符合的流动模式.
- 格子Boltzmann法 /
- 浸没边界法 /
- 谐波振荡
Abstract: We combined the 3D lattice Boltzmann method (LBM) with the immersed boundary method (IBM) to study the flow physics induced by an elastic rectangular container undergoing harmonic oscillations surrounding a viscous fluid. We propose a semi-microscopic expression for the drag force to compute the hydrodynamic forces at the boundary nodes. An analytical deformation solution is used based on a thin plate elastic deformation theory to calculate the displacement experienced by the boundary. The numerical simulation result(All the results on figure axes, in this article, are displayed in lattice units.) based on the proposed method agreed with the theoretical predictions for channel flow with stationary boundary. The oscillating boundary simulation exhibits the expected flow pattern in line with theory.
- lattice boltzmann method /
- immersed boundary method /
- harmonic oscillation

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参考文献(37)

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