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Effective Boundary Conditions for Turbulent Compressible Flows over a Riblet Surface

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Book cover Theory, Numerics and Applications of Hyperbolic Problems I (HYP 2016)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 236))

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Abstract

In Achdou et al. (J Comp Phys 147:187–218, 1998, [9]), Anderson (Hypersonic and High Temperature Gas Dynamics, 1989, [10]), a numerical scheme is developed to accurately capture the microscale effects of periodic spanwise roughness at essentially the cost of solving twice a laminar problem on a smooth domain at affordable resolution. In the present work, this methodology is extended to the turbulent regime modeled by the compressible Reynolds-averaged Navier–Stokes (RANS) equations using a one-equation model. As an application, a subsonic flow over a flat plate with partially embedded periodic roughness, i.e., riblets, is considered.

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Acknowledgements

This work has been supported in part by the German Research Council (DFG) within the DFG Research Unit FOR 1779, by grant DA 117/22-1 and the DFG Collaborative Research Center SFB-TR-40, TP A1, and by the Excellence Initiative of the German Federal and State Governments (RWTH Aachen Distinguished Professorship, Graduate School AICES). Furthermore, the computing resources made available by the High-Performance Computing Center in Stuttgart (HLRS) along with the continued support are gratefully acknowledged.

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Authors and Affiliations

  1. Institut für Geometrie und Praktische Mathematik, RWTH Aachen, Templergraben 55, 52056, Aachen, Germany

    G. Deolmi, W. Dahmen & S. Müller

  2. Aerodynamisches Institut Aachen, RWTH Aachen, Wüllnerstr. 5a, 52062, Aachen, Germany

    M. Albers, P. S. Meysonnat & W. Schröder

Authors
  1. G. Deolmi
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  2. W. Dahmen
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  3. S. Müller
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  4. M. Albers
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  5. P. S. Meysonnat
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  6. W. Schröder
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Corresponding author

Correspondence to G. Deolmi .

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Editors and Affiliations

  1. Department of Mathematics, Würzburg University, Würzburg, Germany

    Christian Klingenberg

  2. Department of Mathematics, RWTH Aachen University, Aachen, Germany

    Michael Westdickenberg

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Deolmi, G., Dahmen, W., Müller, S., Albers, M., Meysonnat, P.S., Schröder, W. (2018). Effective Boundary Conditions for Turbulent Compressible Flows over a Riblet Surface. In: Klingenberg, C., Westdickenberg, M. (eds) Theory, Numerics and Applications of Hyperbolic Problems I. HYP 2016. Springer Proceedings in Mathematics & Statistics, vol 236. Springer, Cham. https://doi.org/10.1007/978-3-319-91545-6_36

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