A dynamic finite volume scheme for large-eddy simulation on unstructured grids

  • Authors:

  • M. Ciardi;P. Sagaut;M. Klein;W. N. Dawes

  • Affiliations:

  • Department of Engineering, University of Cambridge, Cambridge CB2 1PZ, UK;Laboratoire de Modélisation en Mécanique, Université Pierre et Marie Curie, 4 place Jussieu, Boite 162, 75252 Paris Cedex 05, France;Energie und Kraftwerkstechnik, TU Darmstadt, Petersenstraíe 30 64287 Darmstadt, Germany;Department of Engineering, University of Cambridge, Cambridge CB2 1PZ, UK

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2005

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Abstract

In recent years there has been considerable progress in the application of large-eddy simulation (LES) to increasingly complex flow configurations. Nevertheless a lot of fundamental problems still need to be solved in order to apply LES in a reliable way to real engineering problems, where typically finite-volume codes on unstructured meshes are used. A self-adaptive discretisation scheme, in the context of an unstructured finite-volume flow solver, is investigated in the case of isotropic turbulence at infinite Reynolds number. The Smagorinsky and dynamic Smagorinsky sub-grid scale models are considered. A discrete interpolation filter is used for the dynamic model. It is one of the first applications of a filter based on the approach presented by Marsden et al. In this work, an original procedure to impose the filter shape through a specific selection process of the basic filters is also proposed. Satisfactory results are obtained using the self-adaptive scheme for implicit LES. When the scheme is coupled with the sub-grid scale models, the numerical dissipation is shown to be dominant over the sub-grid scale component. Nevertheless the effect of the sub-grid scale models appears to be important and beneficial, improving in particular the energy spectra. A test on fully developed channel flow at Re"@t=395 is also performed, comparing the non-limited scheme with the self-adaptive scheme for implicit LES. Once again the introduction of the limiter proves to be beneficial.