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统一气体动理学方法研究进展

刘沙,  王勇,  袁瑞峰,  张瑞,  陈健锋,  朱亚军,  卓丛山,  钟诚文

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文章导航 > 气体物理  > 2019 >  4(4): 1-13
刘沙, 王勇, 袁瑞峰, 张瑞, 陈健锋, 朱亚军, 卓丛山, 钟诚文. 统一气体动理学方法研究进展[J]. 气体物理, 2019, 4(4): 1-13. doi: 10.19527/j.cnki.2096-1642.0809
引用本文: 刘沙, 王勇, 袁瑞峰, 张瑞, 陈健锋, 朱亚军, 卓丛山, 钟诚文. 统一气体动理学方法研究进展[J]. 气体物理, 2019, 4(4): 1-13. doi: 10.19527/j.cnki.2096-1642.0809
shu
LIU Sha, WANG Yong, YUAN Rui-feng, ZHANG Rui, CHEN Jian-feng, ZHU Ya-jun, ZHUO Cong-shan, ZHONG Cheng-wen. Advance in Unified Methods Based on Gas-Kinetic Theory[J]. PHYSICS OF GASES, 2019, 4(4): 1-13. doi: 10.19527/j.cnki.2096-1642.0809
Citation: LIU Sha, WANG Yong, YUAN Rui-feng, ZHANG Rui, CHEN Jian-feng, ZHU Ya-jun, ZHUO Cong-shan, ZHONG Cheng-wen. Advance in Unified Methods Based on Gas-Kinetic Theory[J]. PHYSICS OF GASES, 2019, 4(4): 1-13. doi: 10.19527/j.cnki.2096-1642.0809
shu

统一气体动理学方法研究进展

doi: 10.19527/j.cnki.2096-1642.0809
  • 1.

    西北工业大学航空学院, 陕西西安 710072

  • 2.

    香港科技大学深圳研究院, 广东深圳 518057

基金项目: 

国家自然科学基金 11902266

国家数值风洞工程 NNW2019ZT3-A09

详细信息
    作者简介:

    刘沙(1986-)男, 副教授, 主要研究方向为近空间高超声速流动计算方法.E-mail:shaliu@nwpu.edu.cn

    通讯作者:

    钟诚文(1966-)男, 教授, 主要研究方向为计算流体力学和稀薄气体动力学.E-mail:zhongcw@nwpu.edu.cn

  • 中图分类号: O356

Advance in Unified Methods Based on Gas-Kinetic Theory

  • 1.

    School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China

  • 2.

    Shenzhen Research Institute, The Hong Kong University of Science and Technology, Shenzhen 518057, China

    摘要
  • 摘要: 在临近空间高超声速飞行器气动载荷、航天飞行器变轨/调姿、微尺度元器件传质/传热等科学和工程实践中，存在着大量的时序多流域（多尺度）流动问题以及位于单一流场中的复杂多流域问题（局部稀薄问题），对数值预测工作提出挑战.因此，近年来从介观气体动理学基础上发展出了一大类将连续流与稀薄流进行统一计算的高效数值方法，包括确定论形式的UGKS，GKUA和DUGKS方法，以及粒子形式的USP-BGK和UGKWP方法.文章围绕着确定论和统计粒子两类统一方法的最新研究进展进行回顾和分析，重点关注在每种方法中全流域统一性质的来源与实现方式、目前已取得的关键进展以及该方法的扩展性和应用价值.

     

    Abstract: In the scientific and engineering practices, such as the aerodynamic loads on near space aircrafts, the orbital transfer and attitude adjustment of spacecrafts, and the mass/heat transfer of micro-scale devices, there are a large amount of multi-regime (multi-scale) flows. The appearance of multi-regimes can be both sequential and spatial, and the latter one is recognized as the complicated local rarefied problem. Since the problem of multi-regime flows is a challenge to the numerical methods, a series of efficient methods which were designed to solve both the continuum flow and rarefied flow in a unified way were proposed in these years, such as the deterministic UGKS, GKUA and DUGKS methods, along with the USP-BGK and UGKWP methods in stochastic particle frameworks. In this paper, the deterministic unified methods and the stochastic unified methods were reviewed and discussed. For each method, the realization of its unified property was discussed along with the theoretical basis. The current advances, potential application value, and extendibility of each method were also discussed in this paper.

     

    • HTML全文

  • 图  1  天宫的双舱结构在海拔62 km处GKUA提供的流场和物面信息[5]

    Figure  1.  Flow field and object information of the two-capsule vehicle of Tiangong-1 spacecraft at altitude 62 km predicted by the GKUA[5]

    下载: 全尺寸图片 幻灯片

    图  2  Apollo返回舱再入大气层的UGKS模拟(温度云图)[27]

    Figure  2.  UGKS simulation of Apollo re-entry capsule (temperature contours)[27]

    下载: 全尺寸图片 幻灯片

    图  3  Crookes辐射计的动网格UGKS模拟(温度云图)[30]

    Figure  3.  UGKS simulation of Crookes radiometer with moving mesh(temperature contours)[30]

    下载: 全尺寸图片 幻灯片

    图  4  稀薄环境喷管流动问题的动网格UGKS模拟(流线和压强云图)[31]

    Figure  4.  UGKS simulation of nozzle flow in rarefied environment with moving meshes(streamlines and pressure contours)[31]

    下载: 全尺寸图片 幻灯片

    图  5  颗粒射流交叉/壁面反射的UGKS模拟[34]

    Figure  5.  Intersection and wall reflection of particle flow predicted by UGKS[34]

    下载: 全尺寸图片 幻灯片

    图  6  Re=1 000顶盖驱动方腔流垂直中心线和水平中心线上的压力分布对比[54]

    Figure  6.  Pressure profiles along the central-vertical line and central-horizontal line of a lid-driven cavity flow at Re=1 000[54]

    下载: 全尺寸图片 幻灯片

    图  7  BKG和DUGKS满足顶盖驱动方腔流稳定计算所能取得的最大时间步长(Δt/τ)[56]

    Figure  7.  Maximum time step (Δt/τ) for BKG and DUGKS in a lid-driven cavity flow[56]

    下载: 全尺寸图片 幻灯片

    图  8  At=0.1(ρ=1.1/0.9), Re=3 000时Rayleigh-Taylor界面不稳定模式的时间演化[75]

    Figure  8.  Evolution of interface patterns of Rayleigh-Taylor instability at At=0.1(ρ=1.1/0.9), Re=3 000[75]

    下载: 全尺寸图片 幻灯片

    图  9  一维封闭管道中单侧平板振荡引起的一维稀薄气体流动中, 一个振荡周期不同时刻两组Knudsen数下速度型发展对比[81]

    Figure  9.  Comparisons of velocity profiles for rarefied flow caused by one-sided plate oscillation at two different Kn[81]

    下载: 全尺寸图片 幻灯片

    图  10  UGKS和UGKWP沿驻点线的压力和温度(Ma=20, Kn=1)[92]

    Figure  10.  Pressure and temperature profiles along the stagnation line of cylinder predicted by UGKS and UGKWP (Ma=20, Kn=1)[92]

    下载: 全尺寸图片 幻灯片

    图  11  圆柱绕流算例(Ma=20)单元模拟粒子数量[92]

    Figure  11.  Numbers of simulation particles per cell for the cylinder flow at Ma=20[92]

    下载: 全尺寸图片 幻灯片

    表  1  宏观量预估的隐式UGKS计算方腔流算例的加速效率[45]计算状态

    Table  1.   Efficiency of the implicit UGKS with macroscopic prediction for cavity flow[45]

    states explicit UGKS implicit UGKS rates
    steps time/min steps time/min
    Kn=10 9 082 587.5 205 17.2 34.2
    Kn=1 4 089 201.6 188 12.0 16.8
    Kn=0.075 7 005 176.3 197 6.4 27.4
    Re=100 357 369 2 823.2 1 443 14.5 195.1
    Re=1 000 843 234 6 709.2 3 378 32.9 204.2
    下载: 导出CSV

    表  2  UGKS和UGKWP计算效率和内存需求对比(Ma=20, Kn=1)[92]

    Table  2.   Comparison of computational time and memory cost between the UGKS and UGKWP(Ma=20, Kn=1)[92]

    methods CPU time memory cost
    UGKS 429 h 22.3 GB
    UGKWP 36.1 min 100 MB
    ratio 713 228
    下载: 导出CSV
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  • 收稿日期:  2019-06-20
  • 修回日期:  2019-07-02
  • 发布日期:  2019-07-20
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