Skip to main content

Towards a 3D Galerkin-Type High-Order Panel Method: A 2D Prototype

  • Conference paper
  • First Online:
New Results in Numerical and Experimental Fluid Mechanics XIII (STAB/DGLR Symposium 2020)

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 151))

Included in the following conference series:

  • 2177 Accesses

Abstract

Aiming to enable the use of mid-fidelity panel methods over low-fidelity potential methods in the context of mass simulations for aircraft design, a two-dimensional steady-state prototype was implemented to demonstrate the feasibility of panel methods for aerodynamic simulations. In contrast to most state-of-the-art panel codes, this method is based on high-order singularity distributions and a Galerkin formulation. This paper demonstrates several advantages of the method over the more traditional low-order collocation-based methods.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Bauer, M., Abdel-Maksoud, M.: A 3-D potential based boundary element method for modelling and simulation of marine propeller flows. IFAC Proc. Vol. 45(2), 1179–1184 (2012)

    Article  Google Scholar 

  2. Blom, J.J.H.: Some characteristic quantities of Karman-Trefftz profiles. Techreport NASA-TM-77013, NASA (1983)

    Google Scholar 

  3. Erickson, L.L.: Panel methods - an introduction. Techreport NASA-TP-2995, A-89266, NAS 1.60:2995, NASA Ames Research Center (1990)

    Google Scholar 

  4. Fiddes, S.P., Burkett, C.W., Kier, T.: An advanced panel method for compressible subsonic unsteady flow past complex geometries. In: International Forum on Aeroelasticity and Structural Dynamics (IFASD) (2015)

    Google Scholar 

  5. Hess, J.: A higher-order panel method for three-dimensional potential flow. In: 7th Australasian Conference on Hydraulics and Fluid Mechanics, pp. 517–520 (1980)

    Google Scholar 

  6. Hess, J.L.: Calculation of potential flow about arbitrary three-dimensional lifting bodies. Technical report MDCJ 5679-01, McDonnell Douglas Corporation (1972)

    Google Scholar 

  7. Johnson, F.T.: A general panel method for the analysis and design of arbitrary configurations in incompressible flows. Technical report NASA-CR-3079, NASA (1980)

    Google Scholar 

  8. Katz, J., Plotkin, A.: Low-Speed Aerodynamics. Cambridge Univ. Press, Cambridge (2001)

    Book  Google Scholar 

  9. Kier, T.M.: Integrated flexible dynamic maneuver loads models based on aerodynamic influence coefficients of a 3D panel method. In: 56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. American Institute of Aeronautics and Astronautics (2015)

    Google Scholar 

  10. Kunze, P.: Evaluation of an unsteady panel method for the prediction of rotor-rotor and rotor-body interactions in preliminary design. In: 41st European Rotorcraft Forum (2015)

    Google Scholar 

  11. Miranda, L.R.: Application of computational aerodynamics to airplane design. J. Aircraft 21(6), 355–370 (1984)

    Article  Google Scholar 

  12. Morino, L.: A General Theory of Unsteady Compressible Potential Aerodynamics. Technical report CR-2464, NASA (1974)

    Google Scholar 

  13. Willis, D., Peraire, J., White, J.: A quadratic basis function, quadratic geometry, high order panel method. In: 44th AIAA Aerospace Sciences Meeting and Exhibit. American Institute of Aeronautics and Astronautics (2006)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Karsten Bock .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Bock, K. (2021). Towards a 3D Galerkin-Type High-Order Panel Method: A 2D Prototype. In: Dillmann, A., Heller, G., Krämer, E., Wagner, C. (eds) New Results in Numerical and Experimental Fluid Mechanics XIII. STAB/DGLR Symposium 2020. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 151. Springer, Cham. https://doi.org/10.1007/978-3-030-79561-0_55

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-79561-0_55

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-79560-3

  • Online ISBN: 978-3-030-79561-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics