Skip to main content
Log in

The computation of transonic analysis and design

  • Contributed Papers
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

In this paper a new high efficiency C-O grid coupled with the potential flow solver based on the finite volume technique is given. It significantly reduces the CPU time and increases the computational efficiency. In order to improve the accuracy of traditional potential method a shock point operator is used to account for entropy correction. Some calculated results of 2D inviscid, viscous/inviscid interaction and 3D inviscid flow indicate that nonisentropic potential method produces results closer to Euler solution as well as experimental data, while its computational efforts are nearly the same as the usual isentropic potential method.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Jameson, A., Caughey, D. A.: A finite volume method for transonic potential flow calculation. AIAA 77-635 (1977).

  2. Caughey, D. A., Jameson, A.: Numerical calculation of transonic potential flow about wing-body combinations. AIAA 77-677 (1977).

  3. Shmilovich, A., Caughey, D. A.: Application of the multi-grid method to calculations of transonic potential flow about wing-fuselage combinations. NASA SP2202 (1981).

  4. Caughey, D. A.: Multi-grid calculation of three-dimensional transonic potential flows. AIAA 83-0374 (1983).

  5. Chen, L. T., Vassberg, J. C., Peavey, C. C.: A transonic wing-body flow field calculation with improved grid topology. AIAA J.23, 1877–1884 (1985).

    Google Scholar 

  6. Zhu, Z.-Q., Sobieczky, H.: Analysis of transonic wings including viscous interaction. Lecture Notes in Physics.264, 710–714 (1986).

    Google Scholar 

  7. Bai, X.-S., Zhu, Z.-Q.: Improvement of the grid generation and transonic analysis and design (to be published).

  8. Sobieczky, H.: Verfahren für die Entwurfs-Aerodynamik moderner Transportflugzeuge. DFVLR FB-85-05 (1985).

  9. Fung, K. Y., Sobieczky, H., Seebass, A. R.: Shock-free wing design. AIAA J.18, (10), 1153–1158 (1980).

    Google Scholar 

  10. Zhu, Z.-Q., Sobieczky, H.: A engineering approach for nearly shock free wing design. Proceeding of International Conference on Fluid Mechanics, Beijing, July 1–4 (1987).

  11. Hafez, M., Lovell, D.: Transonic small disturbance calculations including entropy corrections. Sym. on Num. and Phys. Aspects of Aerodynamic Flows, Long Beach 1981.

  12. Klopfer, G. H., Nixon, D.: Nonisentropic potential formulation for transonic flows. AIAA J.22, (6), 770–776 (1984).

    Google Scholar 

  13. Mertens, J., Klevenhusen, K. D., Jakob, H.: Accurate transonic wave drag prediction using simple physical models. AIAA J.25, (6), 799–805 (1987).

    Google Scholar 

  14. Zhu, Z.-Q., Bai, X.-S.: Nonisentropic potential calculation for 2D and 3D transonic flow. 11th International Conference on Numerical Methods in Fluid Dynamics, Williamsburg, Virginia, U.S.A. June 27–July 1, 1988.

  15. Huang, M.-Q.: A fast algorithm of the finite difference method for computation of the transonic flow past an arbitrary airfoil with the conservative full potential equation. Acta Aerodynamic Sinica (in Chinese)2, 19–24 (1984).

    Google Scholar 

  16. Holst, T. L.: An implicit algorithm for the conservation transonic full potential equation using an arbitrary mesh. AIAA J.17, (10), 1038–1045 (1979).

    Google Scholar 

  17. Zhu, Z.-Q., Ma, X., Chen, B.-Y., Bai, X.-S.: Two dimensional nonisentropic flow calculation including viscous correction. (To be published).

  18. Thiede, P., Dargel, G., Elsholz, E.: Viscous-inviscid interaction analysis on airfoils with an inverse boundary layer approach. In: Recent contributions to fluid mechanics, 244–252 (1982).

  19. Henne, P. A., Hicks, R. M.: Transonic wing analysis using advanced computational methods. AIAA 78-105 (1978).

Download references

Author information

Authors and Affiliations

Authors

Additional information

With 9 Figures

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhu, Z.Q., Bai, X.S. The computation of transonic analysis and design. Acta Mechanica 78, 81–94 (1989). https://doi.org/10.1007/BF01174002

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01174002

Keywords

Navigation