Skip to main content

Computational fluid dynamics — A personal view

  • Invited Lectures
  • Conference paper
  • First Online:
11th International Conference on Numerical Methods in Fluid Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 323))

Abstract

This paper provides a personal view of computational fluid dynamics. The main theme is divided into two categories — one dealing with algorithms and engineering applications and the other with scientific investigations. The former category may be termed computational aerodynamics with the objective of providing reliable aerodynamic or engineering predictions. The latter category is essentially basic research where the algorithmic tools are used to unravel and elucidate fluid dynamic phenomena hard to obtain in a laboratory. While dealing with the algorithms, only the underlying principles are discussed and the engineering applications are omitted. A personal critique of the numerical solution techniques for both compressible and incompressible flows is included. The discussion on scientific investigations deals in particular with transition and turbulence. In conclusion, some challenges to computational fluid dynamics are mentioned, the grand challenge being turbulence and reacting flows.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. P. Boris and D. L. Book, J. Comput. Phys. 11 (1973), 38.

    Google Scholar 

  2. C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral Methods in Fluid Dynamics, Springer-Verlag (1987).

    Google Scholar 

  3. S. R. Chakravarthy, NASA Contractor Report 4043 (1987).

    Google Scholar 

  4. A. J. Chorin, J. Comput. Phys. 2 (1967), 12–26.

    Google Scholar 

  5. A. J. Chorin, Math. Comput. 22 (1968), 745–762.

    Google Scholar 

  6. A. J. Chorin, J. Comput. Phys. 22 (1976), 517–536.

    Google Scholar 

  7. M. Fortin, R. Peyret and R. Temam, J. Mech., V. 10 (1971), 357–390.

    Google Scholar 

  8. S. K. Godunov, Mat. Sb. 47 (1959), 271–306.

    Google Scholar 

  9. A. Harten and G. Zwas, J. Comput. Phys. 9 (1972), 568.

    Google Scholar 

  10. A. Harten, AEC R and D Report, COO-3077-50, New York University (1974).

    Google Scholar 

  11. A. Harten, Math. Comput. 32 (1978), 363–389.

    Google Scholar 

  12. A. Harten, J. Comput. Phys. 49 (1983), 357.

    Google Scholar 

  13. A. Harten and S. Osher, SIAM J. Numer. Anal., V. 24 (1987), 279.

    Google Scholar 

  14. A. Harten, B. Engquist, S. Osher, S. Chakravarthy, J. Comput. Phys., V. 71 (1987), 231.

    Google Scholar 

  15. F. H. Harlow and J. E. Welsh, Phys. Fluids 8 (1965), 2182–89.

    Google Scholar 

  16. A. Jameson, AIAA Paper 87-1184 (1987).

    Google Scholar 

  17. P. D. Lax and B. Wendroff, Comm. Pure Appl. Math. 13 (1960), 217–237.

    Google Scholar 

  18. P. D. Lax, J. Stat. Phys., V. 43 (1986), 749–756.

    Google Scholar 

  19. R.W. MacCormack, AIAA paper AIAA 69-354 (1969).

    Google Scholar 

  20. A. Majda and S. Osher, Comm. Pure Appl. Math. 32 (1979), 797–838.

    Google Scholar 

  21. G. Moretti, Computers and Fluids, 7 (1979), 191–205.

    Google Scholar 

  22. J. von Neumann and R. D. Richtmyer (1950), vide R. D. Richtmyer and K. W. Morton, Difference Methods for Initial-Value Problems, Interscience, New York, 1967.

    Google Scholar 

  23. R.-H. Ni, AIAA J. 20 (1982), 1565–1571.

    Google Scholar 

  24. NRC Report, Current Capabilities and Future Directions in Computational Fluid Dynamics, National Academy Press, Washington, D. C. (1986).

    Google Scholar 

  25. S. A. Orzag, J. Fluid Mech., V. 49 (1971), 75–112.

    Google Scholar 

  26. S. A. Orszag and L. C. Kells, J. Fluid Mech. 96 (1980), 159–205.

    Google Scholar 

  27. K. G. Powell, Vortical Solutions of the Conical Euler Equations, Ph.D. thesis, MIT, 1987.

    Google Scholar 

  28. R. D. Richtmyer, vide R. D. Richtmyer and K. W. Morton, Difference Methods for Initial-Value Problems, Interscience, New York, 1967.

    Google Scholar 

  29. P. L. Roe, Lecture Notes in Physics 141 (1980), 354–359.

    Google Scholar 

  30. M. D. Salas, private communication.

    Google Scholar 

  31. J. L. Steger and R. F. Warming, J. Comput. Phys. 40 (1981), 263–293.

    Google Scholar 

  32. W. G. Strang, SIAM J. Numer. Anal. 5 (1968), 506.

    Google Scholar 

  33. R. Temam, Bull. Soc. Math. Fr. 96 (1968), 115–152.

    Google Scholar 

  34. B. van Leer, Lecture Notes in Physics 18 (1973), 163–168.

    Google Scholar 

  35. B. van Leer, J. Comput. Phys. V. 32 (1979), 101.

    Google Scholar 

  36. B. van Leer, Lecture Notes in Physics 170 (1982), 507.

    Google Scholar 

  37. K. G. Wilson, summary talk delivered at the Conference on Computational Physics held at the International Centre for Theoretical Physics, Trieste, Oct. 29–31, (1986).

    Google Scholar 

  38. P. R. Woodward and P. L. Colella, J. Comput. Phys. 54 (1984), 115–173.

    Google Scholar 

  39. S. T. Zalesak, in Advances in Computer Methods for Partial Differential EquationsIV Eds. R. Vichnevetsky and R. S. Stepleman, Rutgers University (1981).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

D. L. Dwoyer M. Y. Hussaini R. G. Voigt

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag

About this paper

Cite this paper

Hussaini, M.Y. (1989). Computational fluid dynamics — A personal view. In: Dwoyer, D.L., Hussaini, M.Y., Voigt, R.G. (eds) 11th International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 323. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51048-6_1

Download citation

  • DOI: https://doi.org/10.1007/3-540-51048-6_1

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51048-2

  • Online ISBN: 978-3-540-46141-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics