Skip to main content

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

Summary

An existing numerical method for the solution of laminar and turbulent incompressible flows in complex geometries is extended to the calculation of steady compressible flows. As a result a method is obtained which is equally valid for both incompressible and compressible flows, including transonic and supersonic regimes. The method is verified on a number of test cases, including inviscid and viscous both internal and external flows. The overall performance of the method may be considered good, except for the smearing of the shocks, which is the consequence of the curently emoployed first order differencing scheme. As an illustration of the capabilities of the method it is applied to the prediction of the flow around a projectile with and without base bleed.

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. Harlow, F.H., Welch, J.E. “Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface”, Physics of Fluids, 8 (1965) pp. 2182–2189.

    Article  ADS  MATH  Google Scholar 

  2. Patankar, S.V., Spalding, D.B. “A Calculation Procedure for Heat, Mass and Momentum Transfer in Three-Dimensional Parabolic Flows”, Int. J. Heat and Mass Transfer, 15 (1972) pp. 1787–1806.

    Article  MATH  Google Scholar 

  3. McDonald, H., Briley, W.R.: “Three-Dimensional Supersonic Flow of a Viscous or Inviscid Gas”, J. Comp. Physics, 19 (1975) pp. 150–178.

    Article  ADS  MATH  Google Scholar 

  4. Beam, R.M., Warming, R.F.: “An Implicit Finite Difference Algorithm for Hyperbolic Systems in Conservation Law Form”, J. Comp. Physics, 22 (1976) pp. 87–110.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. MacCormack, R.W.: “A Numerical Method for Solving the Equations of Compressible Viscous Flows”, AIAA Journal, 20 (1982) pp. 1275–1281.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. Hirt, C.W., Amsden, A.A., Cook, J.L.: “An Arbitrary Lagrangean-Euleri-an Computing Method for All Flow Speeds”, J. Comp. Physics, 14 (1974) pp. 227–253.

    Article  ADS  MATH  Google Scholar 

  7. Karki, K.C., Patankar, S.V.: “A Pressure Based Calculation Procedure for Viscous Flows at All Speeds in Arbitrary Configurations”, AIAA Paper 88-0058 (1988).

    Google Scholar 

  8. Issa, R.I., Lockwood, F.C.: “On the Prediction of Two-Dimensional Supersonic Viscous Interactions Near Walls”, AIAA Journal, 15 (1977) pp. 182–188.

    Article  ADS  MATH  Google Scholar 

  9. Hah, C.: “Navier-Stokes Calculation of Three-Dimensional Compressible Flow Across a Cascade of Airfoils with an Implicit Relaxation Method”, AIAA Paper 86-0555 (1986).

    Google Scholar 

  10. Rhie, C.M.: “A Pressure Based Navier-Stokes Solver Using the Multigrid Method”, AIAA Paper 86-0207 (1986).

    Google Scholar 

  11. Demirdžié, I., Gosman, A.D., Issa, R.I.: “A Finite Volume Method for the Prediction of Turbulent Flow in Arbitrary Geometries”, Lecture Notes in Physics, Vol. 141, Springer-Verlag, 1980, pp. 144–150.

    ADS  Google Scholar 

  12. Demirdžié, I., Gosman, A.D., Issa, R.I., Perié, M.: “A Calculation Procedure for Turbulent Flow in Complex Geometries”, Computers and Fluids, 15 (1987) pp.251–273.

    Article  ADS  Google Scholar 

  13. Moretti, G.: “Experiments on Initial and Boundary Conditions”, Numerical and Physical Aspects of Aerodynamics Flows (Ed: R. Cebeci), Springer-Verlag, 1981.

    Google Scholar 

  14. Ni, R.-H.: “A Multiple Grid Scheme for Solving the Euler Equations”, AIAA Journal, 20 (1982) pp.1565–1571.

    Article  ADS  MATH  Google Scholar 

  15. Eidelman, S., Colella, A.D., Shreeve, R.P.: “Application of the Godu-nov Metod and Its Second-Order Extention to Cascade Flow Modelling”, AIAA Journal, 22 (1984) pp. 1609–1615.

    Article  ADS  MATH  Google Scholar 

  16. Mason, M.L., Putnam, L.E., Re, R.J.: “The Effect of Throat Contouring on Two-Dimensional Converging-Diverging Nozzle at Static Conditions”, NASA Technical Paper 1704 (1980).

    Google Scholar 

  17. Johnson, D.A., Horstman, C.C, Bachalo, W.D.: “Comparisson Between Experiment and Prediction for a Transonic Turbulent Separated Flow”, AIAA Journal (1982) pp. 737-744.

    Google Scholar 

  18. Lai, H.T., Khosla, P.K.: “Global Pressure Relaxation Procedure for Compresible Turbulent Strong Interaction Flows”, Computers and Fluids, 16 (1988) pp. 217–228.

    Article  Google Scholar 

  19. Sahu, J., Nietubitcz, C.J, Steger, J.L.: “Navier-Stokes Computations of Projectile Base Flow with and without Base Injection, AIAA Journal, 23 (1985) pp. 1348–1355.

    Article  ADS  Google Scholar 

  20. Issa, R.I.: “Solution of the Implicitly Discretized Fluid Flow Equations by Operator-Splitting”, J. Comp. Physics, 62 (1986) pp. 40–65.

    Article  MathSciNet  ADS  MATH  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

Demirdžić, I., Issa, R.I., Lilek, Ž. (1990). Solution Method for Viscous Flows at all Speeds in Complex Domains. 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_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-663-13975-1_10

  • 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