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Application of Multigrid in Two-Equation Turbulence Modelling

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 14))

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Abstract

Source terms in two-equation turbulence models require special attention with respect to numerical stability. They can be treated explicitly or implicitly, depending on the Jacobian of the source terms. A fundamental study is carried out to find the appropriate numerical treatment, allowing the use of the multigrid technique. Different low-Reynolds turbulence models are investigated (k — ε and k — ω based models). Convergence rates are compared for different test cases (flat plate flow, backward-facing step flow). A comparison is made between solving all the equations in a coupled way and decoupling the NS-subsystem from the turbulence subsystem. Convergence rates are comparable. A comparison between the use of V-and W-cycles shows comparable convergence rates, too.

Research Assistant of the Fund for Scientific Research-Flanders (Belgium) (F.W.O.)

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© 2000 Springer-Verlag Berlin Heidelberg

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Merci, B., Steelant, J., Dick, E. (2000). Application of Multigrid in Two-Equation Turbulence Modelling. In: Dick, E., Riemslagh, K., Vierendeels, J. (eds) Multigrid Methods VI. Lecture Notes in Computational Science and Engineering, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58312-4_23

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  • DOI: https://doi.org/10.1007/978-3-642-58312-4_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67157-2

  • Online ISBN: 978-3-642-58312-4

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