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Development of interpolation-free PTV

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Abstract

A new particle tracking velocimetry (PTV) algorithm, which has no interpolation process requirement, has been constructed. An affine transformation and a hybrid fitness function were used to obtain final vector fields. A match probability method (MPM)-based PTV algorithm was used to save calculation convergences. The constructed algorithm was tested with synthetic images using the numerical data of Taylor-Green vortex flow and experimental images for the flow of a rectangular body with Re = 5300. Results obtained by the constructed PTV algorithm were compared with those obtained by the conventional cross-correlation particle image velocimetry (PIV) and the MPM. Comparison results revealed that the constructed interpolation-free PTV (IFPTV) algorithm demonstrated better performance than the aforementioned PIV and PTV algorithms. Furthermore, the constructed PTV algorithm does not need an error removal and interpolation process, enabling easy processing in PTV calculations while providing high-resolution grid vectors.

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Abbreviations

A, B :

Constants for convergence speed

a :

Coefficient of affine transformation

c :

Degree-of-correspondence

D :

Relative distance of quasi-rigid condition

d :

Distance between two particles

f :

Particle on the 1st PTV image

I :

Intensity of synthetic image

I 0 :

Maximum intensity of synthetic image

L :

Size of Tylor-Green vortex

M :

Amplitude of Taylor-Green vortex

N :

Number of candidate vector of PTV method

P :

Probability of MPM method

Q:

Adjustment probability of MPM method

s :

Particle on the 2nd PTV image

T m :

Constant for maximum movement of particles

T n :

Constant for neighbor particles

T q :

Constant for quasi-rigid condition

t :

Iteration of PTV algorithm

w :

Vorticity

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Acknowledgments

This work was supported by the BK21 Four program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education of Korea (Center for Creative Leaders in Maritime Convergence) and supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Korea Government (Nos. 2018R1A2B6009387 and 2021R1I1A01054535).

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Authors and Affiliations

  1. Division of Mechanical Engineering, Korea Maritime and Ocean University, Busan, 49112, Korea

    Min-Gyu Jeon, Deog-Hee Doh & Gyeong-Rae Cho

Authors
  1. Min-Gyu Jeon
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  2. Deog-Hee Doh
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  3. Gyeong-Rae Cho
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Correspondence to Gyeong-Rae Cho.

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Min-Gyu Jeon earned his B.S. and M.S. degrees in Refrigeration and Air-conditioning Eng. at Korea Maritime & Ocean Univ. (KMOU) in 2012 and 2014, respectively. He received his Ph.D. degree in the Dept. of Mech. Eng. in Tokushima Univ., Japan, in 2018. He is currently a Research Professor in the Div. of Mech. Eng. at KMOU. His research interest includes the areas of fundamentals of combustion and flow visualizations in industry and marine and offshore machinery.

Deog-Hee Doh earned his B.S. and M.S. degrees in the Dept. of Marine Eng. at Korea Maritime & Ocean Univ. (KMOU) in 1985 and 1988, respectively. He received his Ph.D. degree in the Dept. of Mech. Eng. in Tokyo Univ., Japan, in 1995. He is currently the President at KMOU. His main interests include the areas of flow visualizations in industry and marine and offshore machinery.

Gyeong-Rae Cho earned his B.S. and M.S. degrees in Refrigeration and Air-conditioning Eng. at Korea Maritime & Ocean Univ. (KMOU) in 1999 and 2001, respectively, and his Ph.D. degree in the Dept. of Product Sciences in Saitama Univ., Japan, in 2004. He is a Research Professor at Korea Maritime & Ocean Univ. His main interests are computational fluid dynamics, flow visualization, and artificial intelligence in industry.

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Jeon, MG., Doh, DH. & Cho, GR. Development of interpolation-free PTV. J Mech Sci Technol 35, 4023–4032 (2021). https://doi.org/10.1007/s12206-021-0815-6

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  • DOI: https://doi.org/10.1007/s12206-021-0815-6

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