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Leading-Edge Receptivity to Free-Stream Vorticity of Streamwise Corner-Flow

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New Results in Numerical and Experimental Fluid Mechanics X

Abstract

The receptivity of a streamwise corner-flow configuration with super-elliptical leading edges is investigated by means of direct numerical simulations. For this purpose, vortical perturbations are induced into the computational domain upstream of the leading edge to study the influence of frequency and wave obliqueness on perturbation amplification and pattern formation. Additionally, we investigate the flow response to artificial homogeneous and isotropic free-stream turbulence. It is found that the near-corner region is particularly sensitive to vortical disturbances aligned with the free-stream, and prone to the formation of anti-symmetric disturbance patterns that lead to high local amplification levels.

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References

  1. Alizard, F., Robinet, J.C., Guiho, F.: Transient growth in a right-angled streamwise corner. Eur. J. Mech. Fluids 37, 99–111 (2012)

    Article  MathSciNet  Google Scholar 

  2. Altmann, C., Beck, A.D., Hindenlang, F., Staudenmaier, M., Gassner, G.J., Munz, C.D.: An efficient high performance parallelization of a discontinuous galerkin spectral element method. In: Keller, R., Kramer, D., Weiss, J.P. (eds.) Facing the Multicore-Challenge III. Lecture Notes in Computer Science, vol. 7686, pp. 37–47. Springer, Berlin (2013)

    Chapter  Google Scholar 

  3. Brandt, L., Schlatter, P., Henningson, D.S.: Transition in boundary layers subject to free-stream turbulence. J Fluid Mech. 517(-1):167–198 (2004)

    Google Scholar 

  4. Hindenlang, F., Gassner, G.J., Altmann, C., Beck, A., Staudenmaier, M., Munz, C.D.: Explicit discontinuous galerkin methods for unsteady problems. Comput. Fluids 61, 86–93 (2012)

    Article  MathSciNet  Google Scholar 

  5. Kornilov, V.I., Kharitonov, A.M.: On the part played by the local pressure gradient in forming the flow in a corner. Fluid Dyn. 17, 242–246 (1982). doi:10.1007/BF01314499

    Article  Google Scholar 

  6. Mikhail, A.G., Ghia, K.N.: Viscous compressible flow in the boundary region of an axial corner. AIAA J. 16, 931–939 (1978). doi:10.2514/3.60987

    Article  MATH  Google Scholar 

  7. Parker, S.J., Balachandar, S.: Viscous and inviscid instabilities of flow along a streamwise corner. Theor. Comput. Fluid Dyn. 13, 231–270 (1999). doi:10.1007/s001620050117

    Article  MATH  Google Scholar 

  8. Rotermund M (2013) Direkte numerische simulation einer axialen eckenumströmung mittels eines discontinous-galerkin-verfahrens. Master’s thesis, University of Stuttgart

    Google Scholar 

  9. Rubin, S.G., Grossman, B.: Viscous flow along a corner: numerical solution of the corner layer equations. Q. Appl. Math. 29, 169–186 (1971)

    MATH  Google Scholar 

  10. Schmidt OT (2014) Numerical investigations of instability and transition in streamwise corner-flows. PhD thesis, University of Stuttgart

    Google Scholar 

  11. Schmidt, O.T., Rist, U.: Linear stability of compressible flow in a streamwise corner. J. Fluid Mech. 688, 569–590 (2011)

    Article  MATH  Google Scholar 

  12. Schrader, L.U., Brandt, L., Mavriplis, C., Henningson, D.S.: Receptivity to free-stream vorticity of flow past a flat plate with elliptic leading edge. J. Fluid Mech. 653, 245–271 (2010)

    Article  MATH  Google Scholar 

  13. Zamir, M.: Similarity and stability of the laminar boundary layer in a streamwise corner. R. Soc. London Proc.Ser. A 377, 269–288 (1981)

    Article  Google Scholar 

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Correspondence to Oliver T. Schmidt .

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Schmidt, O.T., Staudenmeyer, J., Rist, U., Munz, CD. (2016). Leading-Edge Receptivity to Free-Stream Vorticity of Streamwise Corner-Flow. In: Dillmann, A., Heller, G., Krämer, E., Wagner, C., Breitsamter, C. (eds) New Results in Numerical and Experimental Fluid Mechanics X. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 132. Springer, Cham. https://doi.org/10.1007/978-3-319-27279-5_23

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  • DOI: https://doi.org/10.1007/978-3-319-27279-5_23

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