一种求解低速跨流域流固耦合问题的离散统一气体动理学格式

王勇; 刘沙; 卓丛山; 钟诚文

doi:10.7638/kqdlxxb-2021-0312

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一种求解低速跨流域流固耦合问题的离散统一气体动理学格式

专栏——格子玻尔兹曼方法及应用 | 更新时间：2026-05-28

- 一种求解低速跨流域流固耦合问题的离散统一气体动理学格式
- A discrete unified gas kinetic scheme for solving fluid-structure interaction problems in low-speed continuum and rarefied flows
- 空气动力学学报 2022年40卷第3期页码：87-97
- 作者机构：
  
  1. 西北工业大学航空学院,西安,710072
  2. 西北工业大学翼型、叶栅空气动力学重点实验室,西安,710072
- 作者简介：
  
  王勇（1989-），男，黑龙江齐齐哈尔人，博士，研究方向：计算流体力学，稀薄气体流固耦合. E-mail：wongyung@mail.nwpu.edu.cn
  钟诚文*，男，博士，教授，博导，研究方向：计算流体力学，跨流域多尺度计算方法. E-mail：zhongcw@nwpu.ed.cn
- 基金信息：
  
  国家自然科学基金（11902266，11902264，12072283）;西北工业大学博士论文创新基金（CX202015）
- DOI：10.7638/kqdlxxb-2021-0312
  中图分类号： V211.3
- 纸质出版：2022
- 稿件说明：
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王勇, 刘沙, 卓丛山, 等. 一种求解低速跨流域流固耦合问题的离散统一气体动理学格式[J]. 空气动力学学报, 2022, 40(3): 87−97.

WANG Yong, LIU Sha, ZHUO Congshan, et al. A discrete unified gas kinetic scheme for solving fluid-structure interaction problems in low-speed continuum and rarefied flows[J]. 2022, 40(3): 87-97.
王勇, 刘沙, 卓丛山, 等. 一种求解低速跨流域流固耦合问题的离散统一气体动理学格式[J]. 空气动力学学报, 2022, 40(3): 87−97. DOI： 10.7638/kqdlxxb-2021-0312

WANG Yong, LIU Sha, ZHUO Congshan, et al. A discrete unified gas kinetic scheme for solving fluid-structure interaction problems in low-speed continuum and rarefied flows[J]. 2022, 40(3): 87-97. DOI： 10.7638/kqdlxxb-2021-0312.

摘要

运动边界及流固耦合问题是低速及高速、连续流域及稀薄流域流动中常面临的多场耦合问题。本文在原始离散统一气体动理学格式基础上，采用任意拉格朗日-欧拉方法及动网格技术，并耦合计算结构动力学，实现适用于低速流动运动边界及流固耦合问题的计算方法。在方法验证方面，进行连续流域圆柱绕流强迫振动和自由振动数值模拟，计算结果与参考文献结果吻合良好，准确捕捉圆柱在锁频区和非锁频区的流动特性。在稀薄流域范围，将方法中的连续流D2Q9离散速度模型替换成跨流域离散速度模型，对比低速圆柱绕流强迫振动算例在两种离散速度模型下的数值结果。虽主要关注低速流动问题，但发展的算法仍具备模拟高超声速运动边界问题的能力，对此进行了

= 5.0稀薄流振动圆柱研究。低速和高速运动边界模拟能力显示了方法在考虑稀薄气体效应流固耦合问题方面的潜在应用价值。

Abstract

The moving boundaries and the fluid-structure interaction are usually encountered in low/high-speed and continuum/rarefied flows. This paper presents a new framework based on the discrete unified gas kinetic scheme (DUGKS) for solving fluid-structure interaction problems in low-speed rarefied flows. The framework

which integrates an arbitrary Lagrangian-Eulerian method and a moving mesh technique

is validated by simulating continuum flows around forced- and free-oscillating circular cylinders. Satisfactory results are obtained

as the flow properties in the lock-in or non-lock-in r

egimes have been accurately captured and are in good agreement with existing work. Moreover

to take the rarefied gas effect into account properly when simulating rarefied flows with moving boundaries

the D2Q9 lattice model in continuous flows is replaced by the Gauss-Hermit quadrature rule in rarefied flows. Numerical results obtained by these two models for flows around a circular cylinder with forced oscillation are compared. Furthermore

the framework also can be used to simulate high-speed flows with moving boundaries

which has been justified by a numerical simulation of a forced-oscillating cylinder at

= 5.0. All the test cases presented in this paper suggest that the proposed framework has a great potential for solving moving boundary problems in low- and high-speed rarefied flows.

关键词

Keywords

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