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Invariant Analysis of Vortical Delta Wing Flow Using the Extended Optimal Triple Tensor Decomposition

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New Results in Numerical and Experimental Fluid Mechanics XIV (STAB/DGLR Symposium 2022)

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 154))

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Abstract

Vortices and vortex breakdown flow structures over a multi-delta wing configuration are often analyzed by applying flow field invariant analysis techniques from critical point theory and flow topology research. In particular the three invariants of the velocity gradient tensor are used to classify and analyze flow fields, mainly for the assignment of vortical flow regions and assessment of their stability. In this work, the extended optimal triple tensor decomposition is applied to the vortical flow field delivering new tensor fields which allow to recalculate the rate of strain and rotation tensors in an associated basic reference frame. These new tensor fields contain separated distinct flow properties. After retransformation into the original coordinate system, flow field invariant analysis techniques applied to these newly derived tensor fields provide further insights into the dynamics of vortical flows over delta wings.

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Acknowledgments

The authors gratefully acknowledge that this work could be conducted within the project “DIABOLO” funded by DLR.

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Authors and Affiliations

  1. German Aerospace Center (DLR), Institute of Aerodynamics and Flow Technology, Bunsenstr. 10, 37073, Göttingen, Germany

    Markus Rütten & Michael Werner

  2. German Aerospace Center (DLR), Institute of Aeroelasticity, Bunsenstr. 10, 37073, Göttingen, Germany

    Jonas Zastrow

Authors
  1. Markus Rütten
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  2. Michael Werner
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  3. Jonas Zastrow
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Corresponding author

Correspondence to Markus Rütten .

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Editors and Affiliations

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

    Andreas Dillmann

  2. Airbus Defence and Space GmbH, Manching, Bayern, Germany

    Gerd Heller

  3. Institut für Aerodynamik und Gasdynamik, Universität Stuttgart, Stuttgart, Baden-Württemberg, Germany

    Ewald Krämer

  4. Institut für Aerodynamik und Strömungstechnik, Deutsches Zentrum für Luft- und Raumfahrt e. V., Göttingen, Niedersachsen, Germany

    Claus Wagner

  5. ILR - Aerodynamik, Technische Universität Berlin, Berlin, Germany

    Julien Weiss

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Rütten, M., Werner, M., Zastrow, J. (2024). Invariant Analysis of Vortical Delta Wing Flow Using the Extended Optimal Triple Tensor Decomposition. In: Dillmann, A., Heller, G., Krämer, E., Wagner, C., Weiss, J. (eds) New Results in Numerical and Experimental Fluid Mechanics XIV. STAB/DGLR Symposium 2022. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 154. Springer, Cham. https://doi.org/10.1007/978-3-031-40482-5_61

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  • DOI: https://doi.org/10.1007/978-3-031-40482-5_61

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-40481-8

  • Online ISBN: 978-3-031-40482-5

  • eBook Packages: EngineeringEngineering (R0)

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