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Turbulent Shear Flows 8 pp 205–222Cite as

Second-Moment Modelling of Recirculating Flow with a Non-Orthogonal Collocated Finite-Volume Algorithm

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Abstract

The incorporation of Reynolds-stress closure into a non-orthogonal, collocated finite-volume framework in which the discretisation of convection is non-diffusive, presents a number of algorithmic problems not encountered in more traditional schemes employing staggered, rectilinear volume arrangements. Three issues requiring special consideration are: the tensorially correct incorporation of the wall-related pressure-strain terms which are important fragments in the stress closure, boundary conditions at curved walls, and iterative stability. The first issue, in particular, arises because the wall-related terms are tied to the orientation of the wall relative to the directions of the Reynolds stresses. The paper reports practices which address all three problem areas. Four complex applications are presented, among them the flow through a sinusoidal pipe constriction and shock-induced separation over a channel bump.

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, University of Manchester, Institute of Science and Technology, Manchester, UK

    F.-S. Lien & M. A. Leschziner

Authors
  1. F.-S. Lien
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  2. M. A. Leschziner
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Editor information

Editors and Affiliations

  1. Lehrstuhl für Strömungsmechanik, Friedrich-Alexander-Universität, Cauerstraße 4, W-8520, Erlangen, Germany

    Franz Durst

  2. Lehrstuhl für Fluidmechanik, Technische Universität München, Arcisstraße 21, W-8000, München 2, Germany

    Rainer Friedrich

  3. Department of Mechanical Engineering, University of Manchester, Institute of Science and Technology, P.O. Box 88, M60 1QD, Manchester, UK

    Brian E. Launder

  4. Department of Mechanical Engineering, The Pennsylvania State University, 16802, University Park, PA, USA

    Frank W. Schmidt

  5. Institut für Physik der Atmosphäre, Deutsche Forschungsanstalt für Luft- und Raumfahrt (DLR), W-8031, Oberpfaffenhofen, Germany

    Ulrich Schumann

  6. Department of Mechanical Engineering, Imperial College of Science and Technology, Exhibition Road, SW7 2BX, London, UK

    James H. Whitelaw

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© 1993 Springer-Verlag Berlin Heidelberg

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Lien, FS., Leschziner, M.A. (1993). Second-Moment Modelling of Recirculating Flow with a Non-Orthogonal Collocated Finite-Volume Algorithm. In: Durst, F., Friedrich, R., Launder, B.E., Schmidt, F.W., Schumann, U., Whitelaw, J.H. (eds) Turbulent Shear Flows 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77674-8_15

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  • DOI: https://doi.org/10.1007/978-3-642-77674-8_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-77676-2

  • Online ISBN: 978-3-642-77674-8

  • eBook Packages: Springer Book Archive

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