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A simple wall-layer model for large eddy simulation with immersed boundary method

Phys. Fluids 21, 101701 (2009); doi:10.1063/1.3245294

Published 7 October 2009

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F. Roman,1 V. Armenio,1 and J. Fröhlich2
1DICA-Universitá di Trieste, Piazzale Europa 1, 34127 Trieste, Italy
2IFM-Technical University of Dresden, 01062 Dresden, Germany

A wall-layer model is proposed for large eddy simulation of high Reynolds number turbulent flows in conjunction with immersed boundaries. The model is based on two main steps: the reconstruction of the velocity field at the first grid point off the immersed body and the modelization of the actual wall shear stress at the immersed boundary through imposition of a Reynolds averaged Navier–Stokes-like eddy viscosity obtained by means of analytical considerations. The model is tested in a turbulent plane channel flow with walls reproduced by immersed boundaries considering both Cartesian and curvilinear grids. Even with coarse and distorted grids the proposed methodology is able to reproduce accurately both first- and second-order turbulent statistics. ©2009 American Institute of Physics
History: Received 4 July 2009; accepted 4 September 2009; published 7 October 2009
Permalink: http://link.aip.org/link/?PHFLE6/21/101701/1
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ISSN:
1070-6631 (print)   1089-7666 (online)
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REFERENCES (13)

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  8. The symbol + denotes quantities made nondimensional with ltau=nu/utau with utau=sqrt( tau[sub w]/rho ), tauw is the wall shear stress, and rho is the fluid density. d<sub>IB</sub><sup>+</sup> and d<sub>PP</sub><sup>+</sup> are, respectively, the distances of the IB node and the PP point from the wall, scaled with ltau.
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