A maximum entropy reconstruction technique for tomographic particle image velocimetry

Authors

  • A.V. Bilsky
  • D.M. Markovich
  • M.P. Tokarev
  • V.A. Lozhkin

Keywords:

maximum entropy reconstruction method
MENT
Tomographic Particle Image Velocimetry
Tomo-PIV
SMART

Abstract

A method of entropy maximization (MENT) proposed earlier is applied to the reconstruction of three-dimensional images to measure the velocity fields by the tomographic particle image velocimetry (Tomo-PIV) method. The results of theoretical and experimental testing of the MENT algorithm are used to compare with the fastest SMART reconstruction algorithm. The theoretical estimates and the processing of synthetic and experimental images show a significantly improved performance with a slight decrease in the quality of results.

New computational technologies

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Published

2013-01-15

Issue

Vol. 14 (2013): Issue 1.

Section

Section 1. Numerical methods and applications

Author Biographies

A.V. Bilsky

Kutateladze Institute of Thermophysics of SB RAS
• Senior Researcher

D.M. Markovich

Kutateladze Institute of Thermophysics of SB RAS
• Deputy Director

M.P. Tokarev

Kutateladze Institute of Thermophysics of SB RAS
• Researcher

V.A. Lozhkin

Kutateladze Institute of Thermophysics of SB RAS
• Engineer

References

  1. Elsinga G.E., Scarano F., Wieneke B., van Oudheusden B.W. Tomographic particle image velocimetry // Experiments in Fluids. 2006. 41. 933-947.
  2. Scarano F. Tomographic PIV: principles and practice // Measurement Sciense and Technology. 2013. 24. 012001.
  3. Бильский А.В., Ложкин В.А., Маркович Д.М., Токарев М.П., Шестаков М.В. Оптимизация и тестирование томографического метода измерения скорости в объеме потока // Теплофизика и аэромеханика. 2011. 18, № 4. 555-566.
  4. Adrian R.J. Twenty years of particle image velocimetry // Experiments in Fluids. 2005. 39. 159-169.
  5. Atkinson C., Soria J. Algebraic reconstruction techniques for tomographic particle image velocimetry // Proc. 16th Austr. Fluid Mechanics Conf. Gold Coast, Australia, 2-7 December, 2007. Brisbane: Univ. of Queensland, 2001. 191-198.
  6. Atkinson C., Soria J. An efficient simultaneous reconstruction technique for tomographic particle image velocimetry // Experiments in Fluids. 2009. 47. 553-568.
  7. Violato D., Scarano F. Three-dimensional evolution of flow structures in transitional circular and chevron jets // Physics of Fluids. 2011. 23. 124104.
  8. Scarano F., Poelma C. Three-dimensional vorticity patterns of cylinder wakes // Experiments in Fluids. 2009. 47. 69-83.
  9. Hain R., Kahler C.J., Michaelis D. Tomographic and time resolved PIV measurements on a finite cylinder mounted on a flat plate // Experiments in Fluids. 2008. 45. 715-724.
  10. Atkinson C., Coudert S., Foucaut J.M., Stanislas M. The accuracy of tomographic particle image velocimetry for measurements of a turbulent boundary layer // Experiments in Fluids. 2011. 50. 1031-1056.
  11. Buchmann N.A., Atkinson C., Jeremy M.C., Soria J. Tomographic particle image velocimetry investigation of the flow in a modeled human carotid artery // Experiments in Fluids. 2011. 50. 1131-1151.
  12. Schrddotoder A., Geisler R., Staack K., Elsinga G.E., Scarano F., Wieneke B., Henning A., Poelma C., Westerweel J. Eulerian and Lagrangian views of a turbulent boundary layer flow using time-resolved tomographic PIV // Experiments in Fluids. 2011. 50. 1071-1091.
  13. Discetti S., Astarita T. A fast multi-resolution approach to tomographic PIV // Experiments in Fluids. 2011. 52. 765-777.
  14. Ложкин В.А., Ложкин Ю.А., Токарев М.П. Использование высокопроизводительных вычислительных платформ в задачах томографической цифровой трассерной визуализации // Вычислительные методы и программирование. 2012. 13, № 2. 20-27. minerbo1979
  15. Minerbo G. MENT: A Maximum entropy algorithm for reconstructing a source from projection data // Computer Graphics and Image Processing. 1979. 10. 48-68. gordon1970
  16. Gordon R., Beider R., Gabor T. Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and X-ray photography // Journal. Theor. Biol. 1970. 29. 471-481.