Skip to main content

Hypersonic Cone Flow Predictions Using an Implicit Upwind Space-Marching Code

  • Conference paper

Summary

Solutions have been computed and results are presented for Problem 1, the case of Mach 9 transitional flow past a 7° half-angle cone at zero incidence. The solutions were computed using a code developed for the integration of the parabolized Navier-Stokes (PNS) equations. The algorithm employed in the code is based on a Roe-type flux-difference-splitting scheme applied following a finite-volume approach. The basic algorithm has been modified to make it implicit and second-order accurate in the crossflow directions. Results are presented in terms of surface pressure and heat transfer as well as boundary-layer profiles of pitot pressure, Mach number, and tangential velocity. The case was recalculated several times in an effort to determine sensitivities to such parameters as grid density, wall temperature, turbulence model parameters, as well as freestream expansion. Comparisons with the experimental data are presented and discussed.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Lawrence, S. L., Tannehill, J. C., and Chaussee, D. S., An Upwind Algorithm for the Parabolized Navier-Stokes Equations, AIAA Paper 86–1117, July 1986.

    Google Scholar 

  2. 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, July 1978.

    Google Scholar 

  3. Roe, P. L., Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes, Journal of Computational Physics, Vol. 43, 1981, pp. 357–372.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  4. Chakravarthy, S. R. and Szema, K. Y., An Euler Solver for Three- Dimensional Supersonic Flows with Subsonic Pockets, AIAA Paper 85–1703, July 1985.

    Google Scholar 

  5. Denman, P. A., Harvey, J. K., and Hillier, R., Experimental Study of Hypersonic Boundary Layers and Base Flows, Contribution to the INRIA/- GAMNI-SMAI Workshop on Hypersonic Flows for Reentry Problems, Antibes, FRANCE, Jan. 1990.

    Google Scholar 

  6. Baldwin, B. S. and Lomax, H., Thin Layer Approximation and Algebraic Model for Separated Turbulent Flows, AIAA Paper 78–257, Jan. 1978.

    Google Scholar 

  7. Anderson, J. D., Hypersonic and High Temperature Gas Dynamics, McGraw-Hill Book Co., New York, 1989, pp. 286–288.

    Google Scholar 

  8. Shirazi, S. A. and Truman, C. R., Evaluation of Algebraic Turbulence Models for PNS Predictions of Supersonic Flow Past a Sphere-Cone, AIAA Journal, Vol. 27, No. 5, May 1989.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Lawrence, S.L. (1991). Hypersonic Cone Flow Predictions Using an Implicit Upwind Space-Marching Code. In: Désidéri, JA., Glowinski, R., Périaux, J. (eds) Hypersonic Flows for Reentry Problems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76527-8_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-76527-8_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-76529-2

  • Online ISBN: 978-3-642-76527-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics