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Post-processing of PIV Data

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Particle Image Velocimetry

Abstract

While the previous chapter have dealt with recording and evaluation of PIV images, the extracted data require further post-processing in the context of data validation and further data reduction to retrieve fluid mechanical relevant information. This chapter introduces a variety of validation schemes that operate either globally or locally on the data along with methods of data interpolation to fill in data gaps in both space and time. The validated data can then be subjected to differentiation to, for instance, extract gradient information such as vorticity fields. Issues and errors arising through applying differentials to the finitely-spaced data grid are discussed and illustrated. Alternatively, the velocity data can be integrated to retrieve streamlines, body forces or even pressure fields.

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Notes

  1. 1.

    Incompressibility is a fairly stringent condition for Eq. (7.11). However, the pressure term vanishes and Eq. (7.11) holds, if \(\nabla \rho \parallel \nabla {p}\), that is the fluid is barotropic.

  2. 2.

    We ignore the fact that standard PIV only yields a two-dimensional projection of the three-dimensional vector.

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Authors and Affiliations

  1. Institut für Aerodynamik und Strömungstechnik, Deutsches Zentrum für Luft- und Raumfahrt e.V. (DLR), Göttingen, Germany

    Markus Raffel & Jürgen Kompenhans

  2. Institut für Antriebstechnik, Deutsches Zentrum für Luft- und Raumfahrt e.V. (DLR), Köln, Germany

    Christian E. Willert

  3. Department of Aerospace Engineering, Delft University of Technology, Delft, The Netherlands

    Fulvio Scarano

  4. Institut für Strömungsmechanik und Aerodynamik, Universität der Bundeswehr München, Neubiberg, Germany

    Christian J. Kähler

  5. Department of Mechanical Engineering, Birck Nanotech Center, Purdue University, West Lafayette, USA

    Steven T. Wereley

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  1. Markus Raffel
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  2. Christian E. Willert
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  3. Fulvio Scarano
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  4. Christian J. Kähler
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Correspondence to Markus Raffel .

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Raffel, M., Willert, C.E., Scarano, F., Kähler, C.J., Wereley, S.T., Kompenhans, J. (2018). Post-processing of PIV Data. In: Particle Image Velocimetry. Springer, Cham. https://doi.org/10.1007/978-3-319-68852-7_7

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