Liu Shun, Xu Jinglei, Yu Kaikai. Implementation and research on the reconstruction algorithms of pressure fields based on PIV[J]. Journal of Experiments in Fluid Mechanics, 2016, 30(4): 56-65. doi: 10.11729/syltlx20150119
Citation: Liu Shun, Xu Jinglei, Yu Kaikai. Implementation and research on the reconstruction algorithms of pressure fields based on PIV[J]. Journal of Experiments in Fluid Mechanics, 2016, 30(4): 56-65. doi: 10.11729/syltlx20150119

Implementation and research on the reconstruction algorithms of pressure fields based on PIV

doi: 10.11729/syltlx20150119
  • Received Date: 2015-09-14
  • Rev Recd Date: 2015-12-17
  • Publish Date: 2016-08-25
  • The basic principles and the corresponding algorithms of the finite volume method, the direct integral method and the Poisson equation method are introduced in detail, which are used to reconstruct the pressure fields based on PIV velocity fields. The instantaneous velocity fields of two incompressible flows, including the pipe flow with a sudden expansion and the flow around a square, are selected to study the influence of picture noise, velocity error, interpolation methods, the type and the precision of boundary conditions on reconstructed pressure fields by using different reconstruction algorithms. Finally, the transient pressure distributions of the pipe flow with a sudden expansion at 20ms are obtained by using the three algorithms respectively as well as the CFD. It shows that the finite volume method and the direct integral method are easily affected by noise to produce rude shocks, but maintain high accuracy in a larger range of error in velocity fields while they can get higher precision of reconstructed pressure fields with bilinear interpolation; the Poisson equation method isn't easily affected by noise so it produces few shocks, and has great advantages with the accurate PIV velocity fields while it can get higher precision of reconstructed pressure fields with bicubic interpolation; by measuring only several pressure points on the boundaries, the mixed boundary condition gets the accurate reconstructed pressure fields which are close to those of the Dirichlet boundary condition and far better than those of the Neumann boundary condition; the error of boundary conditions reduces the precision of reconstructed pressure fields, which is more severe than the error of velocity fields.
  • loading
  • [1]
    李丹勋, 曲兆松, 王兴奎, 等. 粒子示踪测速技术原理与应用[M]. 北京: 科学出版社, 2012: 1-15.

    Li D X, Qu Z S, Wang X K. Principle and application of particle tracing technique[M]. Beijing: Science Press, 2012: 1-15.
    [2]
    Henning A, Kaepernick K, Ehrenfried K, et al. Investigation of aeroacoustic noise generation by simultaneous particle image velocimetry and microphone measurements[J]. Experiments in Fluids, 2008, 45(6): 1073-1085. doi: 10.1007/s00348-008-0528-y
    [3]
    Larsson J, Davidson L, Olsson M, et al. Aeroacoustic investigation of an open cavity at low Mach number[J]. AIAA Journal, 2004, 42(12): 2462-2473. doi: 10.2514/1.1339
    [4]
    徐惊雷. PIV技术在超及高超声速流场测量中的研究进展[J]. 力学进展, 2012, (01): 81-90. http://www.cnki.com.cn/Article/CJFDTOTAL-LXJZ201201008.htm

    Xu J L. The research progress of PIV in the measurement of ultra-and hypersonic flow fields[J]. Advances in Mechanics, 2012, (01): 81-90. http://www.cnki.com.cn/Article/CJFDTOTAL-LXJZ201201008.htm
    [5]
    王勇, 陈鹏, 耿子海, 等. 基于PIV速度场测量重构压强场的研究进展[J]. 实验流体力学, 2014, 04: 1-8, 24. http://www.syltlx.com/CN/abstract/abstract10745.shtml

    Wang Y, Chen P, Geng Z H, et al. Development of PIV based instantaneous pressure determination[J]. Journal of Experiments in Fluid Mechanics, 2014, 04: 1-8, 24. http://www.syltlx.com/CN/abstract/abstract10745.shtml
    [6]
    Gurka R, Liberzon A, Hefetz D, et al. Computation of pressure distribution using PIV velocity data[C]//Workshop on Particle Image Velocimetry, 1999. http://cn.bing.com/academic/profile?id=2120662661&encoded=0&v=paper_preview&mkt=zh-cn
    [7]
    Hosokawa S, Moriyama S, Tomiyama A, et al. PIV measurement of pressure distributions about single bubbles[J]. Journal of Nuclear Science and Technology, 2003, 40(10): 754-762. doi: 10.1080/18811248.2003.9715416
    [8]
    Fujisawa N, Nakamura Y, Matsuura F, et al. Pressure field evaluation in microchannel junction flows through μPIV measurement[J]. Microfluidics and Nanofluidics, 2006, 2(5): 447-453. doi: 10.1007/s10404-006-0088-5
    [9]
    Fujisawa N, Tanahashi S, Srinivas K. Evaluation of pressure field and fluid forces on a circular cylinder with and without rotational oscillation using velocity data from PIV measurement[J]. Measurement Science and Technology, 2005, 16(4): 989. doi: 10.1088/0957-0233/16/4/011
    [10]
    Van Oudheusden B W. Principles and application of velocimetry based planar pressure imaging in compressible flows with shocks[J]. Experiments in Fluids, 2008, 45(4): 657-674. doi: 10.1007/s00348-008-0546-9
    [11]
    Van Oudheusden B W, Scarano F, Roosenboom E W M, et al. Evaluation of integral forces and pressure fields from planar velocimetry data for incompressible andcompressible flows[J]. Experiments in Fluids, 2007, 43(2-3): 153-162. doi: 10.1007/s00348-007-0261-y
    [12]
    Charonko J J, King C V, Smith B L, et al. Assessment of pressure field calculations from particle image velocimetry measurements [J]. Measurement Science and Technology, 2010, 21(10): 105401. doi: 10.1088/0957-0233/21/10/105401
    [13]
    De Kat R, Van Oudheusden B W, Scarano F. Instantaneous planar pressure field determination around a square-section cylinder based on time resolved stereo-PIV [C]//Proceedings of the 14th International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Posrtugal, 2008.
    [14]
    De Kat R, Van Oudheusden B W, Scarano F. Instantaneous planar pressure field determination around a square-section cylinder based on time resolved stereo-PIV [C]//Proceedings of the 14th International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Posrtugal, 2008.
    [15]
    De Kat R, Van Oudheusden B W. Instantaneous planar pressure determination from PIV in turbulent flow[J]. Experiments in Fluids, 2012, 52(5): 1089-1106. doi: 10.1007/s00348-011-1237-5
    [16]
    De Kat R, Van Oudheusden B W. Instantaneous planar pressure from PIV: analytic and experimental[3] test-cases[C]//Proceedings of the 15th International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal, 2010. http://cn.bing.com/academic/profile?id=2004953817&encoded=0&v=paper_preview&mkt=zh-cn
    [17]
    Adrian R J. Twenty years of particle image velocimetry[J]. Experiments in Fluids, 2005, 39(2): 159-169. doi: 10.1007/s00348-005-0991-7
    [18]
    Raff M, Willert C, Wereley S, et al. Particle image velocimetry: a practical guide[M]. 2nd ed. Berlin: Springer-Verlag, 2007.
    [19]
    马静. 超燃冲压发动机内流通道冷态流场的PIV试验研究[D]. 南京: 南京航空航天大学, 2010. http://cdmd.cnki.com.cn/article/cdmd-10287-1011291906.htm

    Ma J. PIV experiment study of scramjet internal cold flow field[D]. Nanjing: Nanjing University of Aeronautics & Astronautics, 2010. http://cdmd.cnki.com.cn/article/cdmd-10287-1011291906.htm
    [20]
    林春峰. 超声速冲击射流的PIV实验研究[D]. 南京: 南京航空航天大学, 2006. http://cdmd.cnki.com.cn/article/cdmd-10287-2007194304.htm

    Lin C F. A PIV study of supersonic impinging jet[D]. Nanjing: Nanjing University of Aeronautics & Astronautics, 2006. http://cdmd.cnki.com.cn/article/cdmd-10287-2007194304.htm
    [21]
    王大伟, 王元. 由PIV的速度场获取压强分布的数值方法. 北京: 中国科技论文在线. http://www.paper.edu.cn/releasepaper/content/200611-227.

    Wang D W, Wang Y. A numerical method for obtaining the pressure distribution of the velocity field by PIV. Beijing: Science Paper Online. http://www.paper.edu.cn/releasepaper/content/200611-227.
    [22]
    Van Oudheusden B W. PIV-based pressure measurement[J]. Measurement Science and Technology, 2013, 24(3): 032001. doi: 10.1088/0957-0233/24/3/032001
    [23]
    周正贵, 等. 计算流体力学基础理论与实际应用[M]. 南京: 东南大学出版社, 2008.

    Zhou Z G, et al. Basic theories and practical applications of computational fluid dynamics[M]. Nanjing: Southeast University Press, 2008
    [24]
    Baur T, Köngeter J. PIV with high temporal resolution for the determination of local pressure reductions from coherent turbulence phenomena[C]//3rd International Workshop on Particle Image Velocimetry, Santa Barbara, CA, USA, 1999. doi: 10.1007%2Fs00348-008-0546-9
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(14)  / Tables(2)

    Article Metrics

    Article views (231) PDF downloads(45) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return