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Wall‐stress boundary conditions for variational‐multiscale LES
Author(s) -
Hulshoff S. J.,
Munts E. A.,
Labrujere J.
Publication year - 2011
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2311
Subject(s) - discretization , convergence (economics) , boundary (topology) , boundary value problem , mathematics , dirichlet boundary condition , stress (linguistics) , discretization error , turbulence , mathematical analysis , mathematical optimization , mechanics , physics , linguistics , philosophy , economics , economic growth
Abstract Two methods are introduced for the implementation of wall‐stress boundary conditions in variational‐multiscale large‐eddy simulations. In both methods, the boundary conditions are applied weakly using an interior‐penalty approach, where the discretization parameters are determined using information from a wall‐stress model. The performance of the methods is compared with that of hard Dirichlet boundary conditions for turbulent channel flows. A convergence study is performed for the second of the methods, which is found to be the most viable for practical application. Sources of error affecting the convergence study are discussed and quantified. Copyright © 2010 John Wiley & Sons, Ltd.