Skip to main content

A Recursive Algorithm for the Evaluation of Arbitrary Source and Doublet Distributions

  • Conference paper
Book cover Computational Mechanics ’88
  • 31 Accesses

Abstract

This paper presents an efficient recursive algorithm for the evaluation of the higher-order coefficients that arise in the application of the boundary-element method to the Laplace equation. This involves the evaluation of source and doublet integrals with arbitrary intensity distributions over surface elements with arbitrary smooth geometry. The surface elements are assumed to be topologically quadrilateral (in the limit, triangular).

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Downey, M. J., “Wake Transport Analysis with Applications to Helicopter and Airplane Aerodynamics”, Ph.D. Thesis, Department of Aerospace and Mechanical Engineering, Boston University, in preparation.

    Google Scholar 

  2. Carmichael, R. L., and Erickson, L. L., “PAN-AIR — A Higher-Order Panel Method for Predictiong Subsonic or Supersonic Linear Potential Flows about Arbitrary Configurations”, AIAA Paper No. 81–1255, 1981.

    Google Scholar 

  3. Cunningham, H. J., “Steady and Unsteady Aerodynamic Forces from the SOUSSA Surface-Panel Method for a Fighter Wing with Tip Missile and Comparison with Experiment and PANAIR”, NASA Technical Paper No. 2736, 1987.

    Google Scholar 

  4. Johnson, F.T. and Rubbert, P. E., “Advanced Panel-Type Influence Coefficient Methods Applied to Subsonic Flows”, AIAA Paper No. 75–50, 1975.

    Google Scholar 

  5. Hess, J. L., “Higher-Order Numerical Solution of the Integral Equation for the Two-Dimensional Neumann Problem”, Computer Methods in Applied Mechanics and Engineering, Vol. 2, 1973, pp.1–15.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. Maskew B. “Prediction of Subsonic Aerodynamic Characteristics: A Case for Low-Order Panel Methods”, J. Aircraft, Vol, 19, 1982. pp.157–163.

    Article  Google Scholar 

  7. Mormo L., Bharadvaj, B. K., Freedman, M.I. and Tseng K., “BEM for Wave Equation in Aribitrary Motion and Applications to Compressible Potential Aerodynamics of Airplanes and Rotors”, Proceedings of the IUTAM Symposium on Advanced Boundary Element Methods — Applications in Solid and Fluid Mechanics, San Antonio, TX., 1987.

    Google Scholar 

  8. Morino L., Kaprielian, Z., Jr., Sipcic, S. R., “Free Wake Analysis of Helicopter Rotors”, Vertica, Vol. 9, 1985, pp. 127–140.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Morino, L., Downey, M. (1988). A Recursive Algorithm for the Evaluation of Arbitrary Source and Doublet Distributions. In: Atluri, S.N., Yagawa, G. (eds) Computational Mechanics ’88. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61381-4_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-61381-4_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64818-2

  • Online ISBN: 978-3-642-61381-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics