Skip to main content

Split-Matrix Marching Methods for Three-Dimensional Viscous and Inviscid Hypersonic Flows

  • Conference paper
Proceedings of the Eighth GAMM-Conference on Numerical Methods in Fluid Mechanics

Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NNFM,volume 29))

  • 90 Accesses

Summary

Two split-matrix marching methods for hypersonic flow are presented: a space marching method for inviscid flow and a time-integration marching method for viscous flow. For both methods the solution algorithm is explained. Flow calculations of the hypersonic flow over a two-stage transport vehicle show that the methods allow an economic computation of flows over complex geometries with sharp shocks and no spurious oszillations without using any explicit artificial damping.

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 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.99
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. Bird, R.B., Stewart, W.E., and Lightfoot, E.N.: “Transport Phenomena”, Wiley, Inc., New York 1960.

    Google Scholar 

  2. Weiland, C.: “A Split-Matrix Method for the Integration of the Quasi-Conservative Euler Equations”, Notes on Numerical Fluid Mechanics, Vol. 13, Vieweg 1986.

    Google Scholar 

  3. Weiland, C., Pfitzner, M.: “3-D and 2-D Solutions of the Quasi-Conservative Euler Equations”, Lecture Notes in Physics, Springer Verlag, Vol. 264 (1986).

    Google Scholar 

  4. Weiland, C.: “A Split-Matrix Runge-Kutta Type Space Marching Procedure”, to be published.

    Google Scholar 

  5. Vigneron, Y.C., Rakich, J.V. and Tannehill, J.C.: “Calculation of Supersonic Viscous Flow over Delta Wings with Sharp Subsonic Leading Edges”, AIAA paper 78-1137 (1978).

    Google Scholar 

  6. Yee, H.C.: “Upwind and Symmetric Shock Capturing Schemes”, NASA TM 89464 (1987).

    Google Scholar 

  7. Pfitzner, M., Schröder, W., Menne, S., and Weiland, C: “Three-Dimensional Simulations of Hypersonic Flows”, Int. Conf. on Hypersonic Aerodynamics, Royal Aeronaut. Soc, Sept. 4-6, Manchester 1988.

    Google Scholar 

  8. Tracy, R.R.: “Hypersonic Flow over a Yawed Circular Cone”, Ph.D-Thesis, Cal. Inst. of Technology, Graduate Aeronaut. Lab. Memo 69, Aug. 1963.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Pieter Wesseling

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer Fachmedien Wiesbaden

About this paper

Cite this paper

Menne, S., Weiland, C. (1990). Split-Matrix Marching Methods for Three-Dimensional Viscous and Inviscid Hypersonic Flows. In: Wesseling, P. (eds) Proceedings of the Eighth GAMM-Conference on Numerical Methods in Fluid Mechanics. Notes on Numerical Fluid Mechanics (NNFM), vol 29. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-13975-1_36

Download citation

  • DOI: https://doi.org/10.1007/978-3-663-13975-1_36

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-07629-0

  • Online ISBN: 978-3-663-13975-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics