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Development of adaptive wall functions for an elliptic-blending model

DOI: 10.1615/ICHMT.2012.ProcSevIntSympTurbHeatTransfPal.1940
pages 1906-1917

Flavien Billard
School of Mechanical, Aerospace and Civil Engineering (MACE), The University of Manchester, Manchester M60 1QD, U.K.; and EDFR&DMFEE Department, 6 quai Watier, 78401 Chatou Cedex, France

Kahar Osman
Modelling and Simulation Centre, School of MACE, The University of Manchester PO Box 88, Manchester, M13 9PL, UK

Dominique R. Laurence
Modelling and Simulation Centre, School of Mechanical, Aerospace and Civil Engineering, The University of Manchester, Manchester M13 9PL, UK; EDF R&D, Fluid mechanics, Energy and Environment, 78401 Chatou, France


The paper presents the development and validation of adaptive wall functions that allow local "down-to-the-wall" resolution based on a three-equation plus elliptic-blending eddy-viscosity model. Two wall-treatments are proposed: 1/ the wall function values are applied as boundary conditions (local treatment) or 2/ the wall function profiles are applied over a range of cells in the wall vicinity (zonal treatment aimed for unstructured meshes). The proposed wall treatments are designed to allow the model predictions to be independent of the type of wall unstructured mesh-refinement to be used. To assess this property, one- and two-dimensional channel flows are computed for several types of meshes. To test the zonal treatment, the method is also applied on meshes with an arbitrary amount of consecutive inner nodes "removed". Lastly the case of heat transfer in a ribbed wall passage with mixed coarsely- and finely-meshed regions is considered.

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