Skip to main content
SpringerLink
Log in

Computation of airfoil and cascade flows using the Clebsch decomposition method

  • Applications and Special Topics
  • Conference paper
  • First Online:
Thirteenth International Conference on Numerical Methods in Fluid Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 414))

  • 1150 Accesses

Abstract

An alternative method for the solutions of compressible, rotational, transonic flows has been presented. The method can also be regarded as a natural zonal decomposition technique without switching the formulation between zones of different physics. In the approach, local physics are accommodated by the control of convective quantities, without drawing zonal boundaries for different physics.

The four test cases verified the applicability of the proposed method in two-dimensions, and compared to the conventional Euler and full potential technologies. The Clebsch Euler formulation solves for each variable by following individual characteristics, which distinguishes the present approach from the conventional Euler method. The proposed technology is directly extensible to three dimensional flows. Further research is desirable to extend the method into viscous flow problems.

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Serrin, J.,“Mathematical Principles of Classical Fluid Mechanics," Encyclopedia of Physics, Volume VIII/1, 1959.

    Google Scholar 

  2. Clebsch, A.,“Uber die Integration der Hydrodynamischen Gleichungen,” J. Reins Angew. Math., Vol.57, pp. 1–10, 1859.

    Google Scholar 

  3. Jameson, A. Schmidt,W. and Turkel,E., “Numerical Solution of the Euler Equations by Finite Volume Methods using Runge Kutta Time Stepping Schemes,” AIAA.Paper 81-1259.

    Google Scholar 

  4. Steger, J. L., and Warming, R. F.,“Flux Vector Splitting of the Inviscid Gas Dynamics Equations with Applications to Finite Difference Methods,” J. Comp. Physics, Vol.40, pp.263–293, 1981.

    Google Scholar 

  5. Verhoff, A. and O'Neil, P.J.,“A Natural Formulation for Numerical Solution of the Euler Equations,” AIAA Paper 84-0163.

    Google Scholar 

  6. Moretti, G.,“The λ — Scheme,” Computers and Fluids, Vol.7, No.3, pp.191–205, 1979.

    Google Scholar 

  7. Jameson, A. and Caughey, D.A.,“A Finite-Volume Method for Transonic Potential Flow Calculations,” Proc. of AIAA 3rd CFD Conference, pp. 35–54, June 1977.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Aeronautical Engineering, Airforce Academy, Taiwan, ROC

    S. S. Chu

Authors
  1. S. S. Chu
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

M. Napolitano F. Sabetta

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer-Verlag

About this paper

Cite this paper

Chu, S.S. (1993). Computation of airfoil and cascade flows using the Clebsch decomposition method. In: Napolitano, M., Sabetta, F. (eds) Thirteenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 414. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-56394-6_256

Download citation

  • DOI: https://doi.org/10.1007/3-540-56394-6_256

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56394-5

  • Online ISBN: 978-3-540-47551-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation