Skip to main content

Semi-implicit finite-difference simulation of laminar hypersonic flow over blunt bodies

  • Contributed Papers
  • Conference paper
  • First Online:
Book cover 11th International Conference on Numerical Methods in Fluid Dynamics

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

  • 142 Accesses

Abstract

Laminar hypersonic flows over the nose of a spacecraft and an ellipsoid at angle of attack are simulated by a semi-implicit finite-difference method. The central discretization of the thin-layer Navier-Stokes equations is explicit in the surface tangential directions and implicit in the normal direction. The scheme operates as a checkerboard line relaxation method, and requires only the conservative variables and the Cartesian coordinates to be permanently stored. The code is verified by comparison with axisymmetric computational results and with experiments. Attached flow is predicted for the spacecraft nose, and separated flow is observed for the ellipsoid.

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. Baldwin, B.S., Lomax, H.: Thin-Layer Approximation and Algebraic Model for Separated Turbulent Flows. AIAA Paper 78-257 (1978).

    Google Scholar 

  2. Pulliam, T.H., Steger, J.L.: Implicit Finite-Difference Simulations of Three-Dimensional Compressible Flow. AIAA J. 18 (1980), pp. 159–167.

    Google Scholar 

  3. Kutler, P., Pedelty, J.A., Pulliam, T.H.: Supersonic Flow Over Three-Dimensional Nose-tips Using an Unsteady Implicit Numerical Procedure. AIAA Paper 80-0063 (1980).

    Google Scholar 

  4. Rizk, Y.M., Chaussee, D.S.: Three-Dimensional Viscous-Flow Computations Using a Directionally Hybrid Implicit-Explicit Procedure. AIAA Paper 83-1910 (1983).

    Google Scholar 

  5. Thomas, P.D., Lombard, C.K.: Geometric Conservation Law and Its Application to Flow Computations on Moving Grids. AIAA J. 17 (1979), pp. 1030–1037.

    Google Scholar 

  6. Moller, B., Rues, D.: Finite-Difference Method for the Simulation of Three-Dimensional Laminar Supersonic Flow over Blunt Bodies. DFVLR-Interner Bericht IB 221-86 A 03 (1986).

    Google Scholar 

  7. Beam, R.M., Warming, R.F.: An Implicit Factored Scheme for the Compressible Navier-Stokes Equations. AIAA J. 16 (1978), pp. 393–402.

    Google Scholar 

  8. Riedelbauch, S., Müller, B.: The Simulation of Three-Dimensional Viscous Supersonic Flow Past Blunt Bodies with a Hybrid Implicit/Explicit Finite-Difference Method. DFVLR-FB 87-32, Göttingen, 1987.

    Google Scholar 

  9. Da Costa, J.L., Aymer de la Chevalerie, D., Alziary de Roquefort, T.: Ecoulement Tridimensionnel Hypersonique sur une Combinaison d'Ellipsoides. CEAT, Rapport No. 4 RDMF 86, Université de Poitiers, Juillet 1987.

    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

Riedelbauch, S., Müller, B., Kordulla, W. (1989). Semi-implicit finite-difference simulation of laminar hypersonic flow over blunt bodies. 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_81

Download citation

  • DOI: https://doi.org/10.1007/3-540-51048-6_81

  • 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