Skip to main content

CFD contributions to high-speed shock-related problems

- examples today and new features tomorrow -

  • Conference paper
Shock Waves
  • 2334 Accesses

Summary

Computational Fluid Dynamics (CFD) have extensively contributed to high-speed shock-wave shock wave research. With study examples by the author’s group in the past, effectiveness of CFD both for design of transportation vehicles and for understanding of fluid physics is discussed. Trend of CFD for further use is then discussed based on recent applications and three key features: computer progress, spectral-like high-resolution scheme and LES and LES/RANS hybrid method are focused. Recent CFD research reveals that high speed flows even the ones considered to be steady state have inherently unsteady nature that requires LES-like computations for successful simulations. Such simulations require remarkably higher grid resolution but emerging numerical techniques having spectral-like high-resolution would help reducing the number of grids required for such simulations. The paper is summarized by the address to the issues about future CFD.

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 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover 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. Murman, E. M. and Cole, J. D., Calculation of Plane Steady Transonic Flows, AIAA J., Vol. 9, pp. 114-121, 1971

    Article  MATH  Google Scholar 

  2. Lax, P. D., Weak Solutions of Nonliner Hyperbolic Equations and their Numerical Computation, Comm. Pure Appl. Math., Vol. 7, pp. 159-93, 1954

    Article  MATH  MathSciNet  Google Scholar 

  3. Shang, J. S., A Glance Back and Outlook of Computational Fluid Dynamics, ASME FEDSM2003-45420, 2003

    Google Scholar 

  4. Fujii, K., Progress and Future Prospects of CFD in Aerospace-Wind Tunnel and Beyond, Progress in Aerospace Sciences, on International Review Journal, Vol. 41, pp. 455-470, 2005

    Google Scholar 

  5. Ogawa, T. and Fujii, K., Prediction and Alleviation of a Booming Noise Created by a High-speed Train Moving into a Tunnel, The ECCOMAS Computational Fluid Dynamics Conference, 1996

    Google Scholar 

  6. Fujii, K. and Ogawa, T., Aerodynamics of High Speed Trains Passing by Each other, Computers & Fluids, Vol. 24, pp. 897-908, 1995

    Article  MATH  Google Scholar 

  7. Ogawa, T. and Fujii, K., What Have We Learned from CFD Research on Train Aerodynamics, Frontiers of Computational Fluid Dynamics 1998, Ed. by D. A. Caughey and M. M. Hafez, World Scientific, November 1998

    Google Scholar 

  8. Nakai, Y., Fujimatsu, N. and Fujii, K., Experimental Study of Underexpanded Supersonic Jet Impingement on an Inclined Flat Plate, AIAA J. Vol. 44, pp. 0001-1452, 2006

    Article  Google Scholar 

  9. McIlroy, K. and Fujii, K., Computational Analysis of Supersonic Uinderexpanded Jets Impinging on an Inclined Flat Plate, AIAA Paper 2007-3859, June 2007

    Google Scholar 

  10. Kawai S. and Fujii K., Computational Study of a Supersonic Base Flow Using Hybrid Turbulence Methodology, AIAA Journal, Vol. 43, 2005, pp. 1265-1275, 2005

    Article  Google Scholar 

  11. Kawai S. and Fujii K., Time-series and Time-Averaged Characteristics of Subsonic and Supersonic Base Flows, , AIAA J., Vol. 45, pp. 289-301, 2007

    Article  Google Scholar 

  12. Lele, S. K., Compact Finite Difference Schemes with Spectral-Like Resolution, J. Comp. Phys., Vol. 103, pp. 16-42, 1992

    Article  MATH  MathSciNet  Google Scholar 

  13. Gaitonde, D. V. and Visbal, M. R., Further development of a Navier-Stokes solution procedure based on higher-order formulas, AIAA Paper 99-0557, 1999

    Google Scholar 

  14. Liu, X.D., Osher, S. and Chan, T., Weighted essentially non-oscillatory schemes, J. Comp. Phys., Vol. 126, pp. 200-212, 1996

    MathSciNet  Google Scholar 

  15. Deng, X. G. and Zhang, H., Developing high-order weighted compact nonlinear schemes, J. Comp. Phys., Vol. 165, pp. 22-44, 2000

    Article  MATH  MathSciNet  Google Scholar 

  16. Fiorina, B. and Lele, S. K., Artificial nonlinear diffusivity method for supersonic reacting flows with shocks, J. Comp. Phys., Vol. 222, pp. 246-264, 2007

    Article  MATH  MathSciNet  Google Scholar 

  17. Nonomura, T. and Fujii, K., Increasing order of Accuracy of Weighted Compact Non-Linear Scheme, AIAA Paper 2007-893, Jan. 2007

    Google Scholar 

  18. Eldred, K. M., Acoustic Loads Generated by the Propulsion System, NASA SP-8072, June 1971

    Google Scholar 

  19. Kawai, S., Tsutsumi, S., Takaki, R. and Fujii, K., Computational Aeroacoustic Analysis of Overexpanded Supersonic Jet Impingement on a Flat Plate with/without Hole, FEDSM2007-3756, 5th Joint ASME/JSME Fluid Engineering Conf., July 2007

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Fujii, K. (2009). CFD contributions to high-speed shock-related problems. In: Hannemann, K., Seiler, F. (eds) Shock Waves. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85168-4_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-85168-4_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-85167-7

  • Online ISBN: 978-3-540-85168-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics