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低速修正的可压缩求解器对湍流模拟精度的影响

李彦苏 张坤 何承军 阎超

李彦苏, 张坤, 何承军, 等 . 低速修正的可压缩求解器对湍流模拟精度的影响[J]. 北京航空航天大学学报, 2019, 45(11): 2199-2206. doi: 10.13700/j.bh.1001-5965.2019.0129
引用本文: 李彦苏, 张坤, 何承军, 等 . 低速修正的可压缩求解器对湍流模拟精度的影响[J]. 北京航空航天大学学报, 2019, 45(11): 2199-2206. doi: 10.13700/j.bh.1001-5965.2019.0129
LI Yansu, ZHANG Kun, HE Chengjun, et al. Effect of low-speed modification of compressible solver on turbulence simulation accuracy[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(11): 2199-2206. doi: 10.13700/j.bh.1001-5965.2019.0129(in Chinese)
Citation: LI Yansu, ZHANG Kun, HE Chengjun, et al. Effect of low-speed modification of compressible solver on turbulence simulation accuracy[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(11): 2199-2206. doi: 10.13700/j.bh.1001-5965.2019.0129(in Chinese)

低速修正的可压缩求解器对湍流模拟精度的影响

doi: 10.13700/j.bh.1001-5965.2019.0129
详细信息
    作者简介:

    李彦苏  女, 博士, 工程师。主要研究方向:计算流体力学

    通讯作者:

    李彦苏.E-mail:yansu_li@126.com

  • 中图分类号: V211.3

Effect of low-speed modification of compressible solver on turbulence simulation accuracy

More Information
  • 摘要:

    修正可压缩求解器能提高其对高速湍流中低速区的模拟精度,但低速修正效果受到求解器、计算格式精度、网格量等多因素影响,难以直接评估。研究了不同阶数、分辨率、网格量下,有无低速修正的可压缩求解器对复杂湍流模拟的影响。通过泰勒-格林涡算例,定量分析了不同结果的差异。结果表明:不同网格量、计算方法组合下,低速修正对结果的影响不同。网格量较小、重构格式精度较低的情况下,低速修正方法能够有效提高计算精度。

     

  • 图 1  不同重构格式的分辨率特性曲线

    Figure 1.  Resolution properties of different reconstruction schemes

    图 2  体平均动能随时间变化曲线(网格间距2π/64)

    Figure 2.  Variation of volume-averaged kinetic energy with time under grid space 2π/64

    图 3  动能耗散率随时间变化曲线(网格间距2π/64)

    Figure 3.  Variation of energy dissipation rate with time under grid space 2π/64

    图 4  体平均动能随时间变化曲线(网格间距2π/64和2π/128)

    Figure 4.  Variation of volume-averaged kinetic energy with time (grid space 2π/64 and 2π/128)

    图 5  动能耗散率随时间变化曲线(网格间距2π/64和2π/128)

    Figure 5.  Variation of energy dissipation rate with time (grid space 2π/64 and 2π/128)

    图 6  不同格式和网格量下体平均动能误差柱状图

    Figure 6.  Histogram of volume-averaged kinetic energy error for different schemes with different grids

    图 7  不同格式和网格量下动能耗散率误差柱状图

    Figure 7.  Histogram of energy dissipation rate error for different schemes with different grids

    图 8  不同网格量下Roe和LMRoe通量格式的计算差异(体平均动能)

    Figure 8.  Calculation difference of Roe and LMRoe flux schemes with different amounts of grid (volume-averaged kinetic energy)

    图 9  不同网格量下Roe和LMRoe通量格式的计算差异(动能耗散率)

    Figure 9.  Calculation difference of Roe and LMRoe flux schemes with different amounts of grid (energy dissipation rate)

    表  1  网格间距2π/64时不同通量格式结果的误差比值

    Table  1.   Ratio of two flux schemes' result errors with grid space being 2π/64

    重构格式 体平均动能 动能耗散率
    WENO3 0.36 0.57
    WENO5 0.63 0.61
    WENO7 0.69 0.75
    compact5 1.04 1.00
    下载: 导出CSV

    表  2  网格间距2π/128时不同通量格式结果的误差比值

    Table  2.   Ratio of two flux schemes' result errors with grid space being 2π/128

    重构格式 体平均动能 动能耗散率
    WENO5 0.56 0.57
    compact5 1.85 0.76
    下载: 导出CSV
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出版历程
  • 收稿日期:  2019-03-27
  • 录用日期:  2019-06-21
  • 刊出日期:  2019-11-20

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