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浙江大学学报(工学版)
浙江大学学报(工学版)  2020, Vol. 54 Issue (8): 1637-1644    DOI: 10.3785/j.issn.1008-973X.2020.08.024
流体力学     
通用的插值补充格子Boltzmann方法应用于计算气动声学
刘万鸿1(),陈荣钱1,2,*(),邱若凡1,林威1,尤延铖1
1. 厦门大学 航空航天学院，福建 厦门 361102
2. 中国空气动力研究与发展中心 气动噪声控制重点实验室，四川 绵阳 621000
Generalized form of interpolation-supplemented lattice Boltzmann method for computational aeroacoustics
Wan-hong LIU1(),Rong-qian CHEN1,2,*(),Ruo-fan QIU1,Wei LIN1,Yan-cheng YOU1
1. School of Aerospace Engineering, Xiamen University, Xiamen 361102, China
2. Key Laboratory of Aerodynamic Noise Control, China Aerodynamics Research and Development Center, Mianyang 621000, China
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摘要：

提出将通用的插值补充格子Boltzmann方法（GILBM）应用于非均匀网格进行计算气动声学研究. 通过顶盖驱动方腔流、低雷诺数圆柱绕流算例验证GILBM数值模拟方法的正确性. 在此基础上，将该方法应用于高斯脉冲传播、周期性声源传播、二维圆柱绕流的气动噪声计算. 研究结果表明，GILBM方法可以在非均匀网格上较好地模拟高斯脉冲及周期性声源声波的传播过程，计算结果与解析解较吻合. GILBM方法能够模拟非均匀贴体网格下的圆柱曲面边界由于涡脱落造成的气动噪声的产生和传播过程，可以较好地捕捉到近场及远场的声压传播. 圆柱绕流声学特性呈现出偶极子现象，计算结果与参考文献较吻合，证明采用GILBM方法在非均匀网格中模拟声传播问题的正确性及求解气动声学问题的可行性.
关键词： 格子Boltzmann方法;  通用的插值补充格子Boltzmann方法;  气动声学;  非均匀网格;  圆柱噪声    
Abstract:

The generalized form of interpolation-supplemented lattice Boltzmann method (GILBM) was proposed for aeroacoustics simulation on non-uniform meshes. The correctness of GILBM code was validated by simulating the lid-driven cavity flow and the low Reynolds number cylinder flow. On this basis, this method was applied to simulate the Gaussian pulse propagation, acoustic periodic point sources and aerodynamic noise of two-dimensional cylinder flow. Results show that the propagation process of Gaussian pulse and acoustic periodic point sources can be well simulated on non-uniform meshes by GILBM, and the simulation results are in good agreement with the analytical solution. Also, the generation and propagation of the aerodynamic noise produced by the vortex shedding generated by a cylinder can be simulated on non-uniform body-fitted mesh by GILBM, and the sound pressure propagation in the near field and the far field can be well captured. The aerodynamic noise characteristics of flow around a cylinder show a dipole pattern. Results present a good agreement with the references, which confirms the correctness and the feasibility of GILBM in simulating sound propagation problems and aerodynamic noise on non-uniform meshes.
Key words: lattice Boltzmann method    generalized form of interpolation-supplemented lattice Boltzmann method    aeroacoustics    non-uniform mesh    cylinder noise
收稿日期: 2019-06-03 出版日期: 2020-08-28
CLC:  V 211.3  
基金资助: 国家自然科学基金资助项目（11602209）；气动噪声控制重点实验室开放课题资助项目（ANCL20190203）
通讯作者: 陈荣钱     E-mail: 35020171150897@stu.xmu.edu.cn;rqchen@xmu.edu.cn
作者简介: 刘万鸿（1994—），男，硕士生，从事计算气动声学研究. orcid.org/0000-0002-1837-8218. E-mail： 35020171150897@stu.xmu.edu.cn
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引用本文:

刘万鸿,陈荣钱,邱若凡,林威,尤延铖. 通用的插值补充格子Boltzmann方法应用于计算气动声学[J]. 浙江大学学报(工学版), 2020, 54(8): 1637-1644.

Wan-hong LIU,Rong-qian CHEN,Ruo-fan QIU,Wei LIN,Yan-cheng YOU. Generalized form of interpolation-supplemented lattice Boltzmann method for computational aeroacoustics. Journal of ZheJiang University (Engineering Science), 2020, 54(8): 1637-1644.

链接本文:

http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2020.08.024    或    http://www.zjujournals.com/eng/CN/Y2020/V54/I8/1637

图 1  顶盖驱动方腔计算网格
图 2  几何中心线的无量纲速度分布曲线
图 3  圆柱模型示意图与计算网格
图 4  不同雷诺数下圆柱的表面压力系数图
图 5  二维高斯脉冲计算模型与网格
图 6  不同水平速度下 $t = 0.4$时刻的密度云图与曲线图
图 7   $t = 75$时刻的扰动密度云图和扰动密度曲线图
图 8   ${{Re}} = 150$时圆柱的时均表面压力系数分布图
图 9  圆柱升力系数和监测点的声压波动
图 10  圆柱绕流气动噪声特性图
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