Skip to main content
Log in

A numerical study of shock wave/boundary layer interaction in a supersonic compressor cascade

  • Published:
KSME International Journal Aims and scope Submit manuscript

Abstract

A numerical analysis of shock wave/boundary layer interaction in transonic/supersonic axial flow compressor cascade has been performed by using a characteristic upwind Navier-Stokes method with various turbulence models. Two equation turbulence models were applied to transonic/supersonic flows over a NACA 0012 airfoil. The results are superion to those from an algebraic turbulence model. High order TVD schemes predicted shock wave/boundary layer interactions reasonably well. However, the prediction of SWBLI depends more on turbulence models than high order schemes. In a supersonic axial flow cascade at M=1.59 and exit/inlet static pressure ratio of 2.21, k-μ and Shear Stress Transport (SST) models were numerically stables. However, the k-μ model predicted thicker shock waves in the flow passage. Losses due to shock/shock and shock/boundary layer interactions in transonic/supersonic compressor flowfields can be higher losses than viscous losses due to flow separation and viscous dissipation.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Abe, K., Nagano, N. and Kondoh, T., 1992, “An Improved Model for Prediction of Turbulent Flows with Separation and Reattachment.”Trans. JSME. Ser. B, 58, pp. 3003–3010.

    Google Scholar 

  • Chakravarthy, S. R. and Osher, S., 1983, “Upwind Schemes and Boundary Layer Conditions with Applications to Euler Equations in General Geometries,”J. Comp. Phys., Vol. 50, pp. 447–481.

    Article  MATH  MathSciNet  Google Scholar 

  • Gorski, J. J., Chakravarthy, S. R., and Goldberg, U. C., 1985, “High Accuracy TVD Schemes for the Equations of Turbulence,”AIAA, Paper No. 85-1665.

  • Harten, A., 1984, “On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes,”SIAM J. Num. Anal., Vol. 21, pp. 1–23.

    Article  MATH  MathSciNet  Google Scholar 

  • Hirsch, C., 1990,Numerical Computation of Internal and External Flows, Vol. 2, John Wiley & Sons Ltd.

  • Song, D. J. and Kim, S. D., 2000, “A Comparative Numerical Study of Shock/Boundary-Layer Intereraction using Navier-Stokes,”Computational Fluid Dynamics Journal, Vol. 9, to be printed

  • Kim, S. D., Kwon, C. O., Song, D. J., and Sa, J. Y., 1994, “Performance Enhancement Study Using Passive Control of Shock-Boundary Layer Interaction in a Transonic/Supersonic Compressor Cascade,”KSME Journal, Vol. 20, No. 9, pp. 2944–2952.

    Google Scholar 

  • Kwon, C. O., Song, D. J., and Kang, S. H., 1994, “Compressor Cascade Flow Ananysis by Using Upwind Flux Difference Splitting Method,”KSME Journal, Vol. 18, No. 3, pp. 635–661.

    Google Scholar 

  • Lombard, C. K., Bardina, J., Venkatapathy, E., and Oliger, J., 1983, “Multi-Dimensional Formulation of CSCM-An Upwind Flux Difference Eigenvector Split Method for the Compressible Navier-Stokes Equations,” AIAA-83-1859cp.

  • Menter, F. R., 1994, “Two-Equation Eddy Viscosity Turbulence Models for Engineering Applications,”AIAA J., Vol. 32, pp. 1299–1310.

    Article  Google Scholar 

  • Pulliam, T. H. and Childs, R. E., 1983, “An Enhanced Version of an Implicit Code for the Euler Equation,” AIAA-83-0344.

  • Roe, P. L., 1981, “Approximate Riemann solvers, Parameter Vectors and Difference Scheme,”J. Comp. Phys., Vol. 43, pp. 357–372.

    Article  MATH  MathSciNet  Google Scholar 

  • Shuen, J. S., 1992, “Upwind Differencing and LU Factorization for Chemical Non-equilibrium Navier-Stokes Equations,”J. Comp. Phys, Vol. 99, pp. 233–250.

    Article  MATH  Google Scholar 

  • Thomas, J. L. and Walters, R. W., 1987, “Upwind Relaxation Algorithms for the Navier-Stokes Equation,”AIAA J., Vol. 25, pp. 527–534.

    Article  MATH  Google Scholar 

  • Van Leer, B., 1982, “Flux Vector Splitting for Euler Equations,”Lecture Notes in Physics, Vol. 170, pp. 501–512.

    Google Scholar 

  • Wilcox, D. C., 1988, “Reassessment of the Scale-Determining Equation for Advance Turbulence Models,”AIAA J., Vol. 26, No. 11, pp. 1299–1310.

    Article  MATH  MathSciNet  Google Scholar 

  • Wilcox, D. C., 1993, “Turbulence Modeling for CFD,” DCW Industries, Inc., 5354 Palm Drive, La Canada, Calif.

    Google Scholar 

  • Yee, H. C. and Harten, A., 1987, “Implicit TVD Schemes for Hyperbolic Conservation Laws in Curvilinear Coordinates,”AIAA J., Vol. 25, No. 2, pp. 266–274.

    Article  Google Scholar 

  • Yee, H. C., 1989, “A Class of High-Resolution Explicit and Implicit Shock-Capturing Methods,” NASA Technical Memorandum 101088.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dong Joo Song.

Additional information

First Author

Rights and permissions

Reprints and permissions

About this article

Cite this article

Song, D.J., Hwang, H.C. & Kim, Y.I. A numerical study of shock wave/boundary layer interaction in a supersonic compressor cascade. KSME International Journal 15, 366–373 (2001). https://doi.org/10.1007/BF03185220

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03185220

Key Words

Navigation