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The Matter of Discrete Euler Solutions for Lifting Wings

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Separated and Vortical Flow in Aircraft Wing Aerodynamics

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Abstract

With the development in particular of fighter aircraft with delta-type wings the phenomenon of lee-side vortices became a topic in the field of aerodynamics.

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Notes

  1. 1.

    The following discussion also holds for supercritical flow. There the whole vorticity wake including the entropy-layer wake must be considered, Sect. 4.2.3.

  2. 2.

    See in this regard also the discussion in [5].

  3. 3.

    The total-pressure loss depends on the chosen variables, the discretization scheme, and the grid-fineness. Depending on the simulation problem at hand, one has to be aware of that.

  4. 4.

    z is the stretched coordinate, however, we have omitted the tilde.

References

  1. Rom, J.: High Angle of Attack Aerodynamics. Springer, Heidelberg (1992)

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  2. Powell, K.G., Murman, E.M., Perez, E.S., Baron, J.R.: Total pressure loss in vortical solutions of the conical Euler equations. AIAA J. 25, 360–368 (1987)

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  3. Hirschel, E.H.: Basics of Aerothermodynamics, 2nd edn (revised). Springer, Cham (2015)

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  4. Eberle, A., Rizzi, A., Hirschel, E.H.: Numerical Solutions of the Euler Equations for Steady Flow Problems. Notes on Numerical Fluid Mechanics, vol. 34. Vieweg, Braunschweig Wiesbaden (1992)

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  5. Hoeijmakers, H.W.M.: Modelling and numerical simulation of vortex flow in aerodynamics. AGARD-CP-494, 1-1–1-16 (1991)

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Authors and Affiliations

  1. Institute of Aerodynamics and Gasdynamics, University Stuttgart, Zorneding, Germany

    Ernst Heinrich Hirschel

  2. Department of Aeronautical and Vehicle Engineering, Royal Institute of Technology, Stockholm, Sweden

    Arthur Rizzi

  3. Chair of Aerodynamics and Fluid Mechanics, Technical University of Munich, Munich, Germany

    Christian Breitsamter

  4. Institute of Flightsystems, Bundeswehr University Munich, Zorneding, Germany

    Werner Staudacher

Authors
  1. Ernst Heinrich Hirschel
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  2. Arthur Rizzi
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  3. Christian Breitsamter
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  4. Werner Staudacher
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Corresponding author

Correspondence to Ernst Heinrich Hirschel .

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Hirschel, E.H., Rizzi, A., Breitsamter, C., Staudacher, W. (2021). The Matter of Discrete Euler Solutions for Lifting Wings. In: Separated and Vortical Flow in Aircraft Wing Aerodynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-61328-3_5

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  • DOI: https://doi.org/10.1007/978-3-662-61328-3_5

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-61326-9

  • Online ISBN: 978-3-662-61328-3

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