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
引用本文: 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 Y, LIU S, ZHUO C S, et al. A discrete unified gas kinetic scheme for solving fluid-structure interaction problems in low-speed continuum and rarefied flows[J]. Acta Aerodynamica Sinica, 2022, 40(3): 87−97. doi: 10.7638/kqdlxxb-2021-0312
Citation: WANG Y, LIU S, ZHUO C S, et al. A discrete unified gas kinetic scheme for solving fluid-structure interaction problems in low-speed continuum and rarefied flows[J]. Acta Aerodynamica Sinica, 2022, 40(3): 87−97. doi: 10.7638/kqdlxxb-2021-0312

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

  • 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Ma = 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 regimes 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 Ma = 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.

     

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