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Simulations of the turbulent channel flow at Re τ = 180 with projection‐based finite element variational multiscale methods
Author(s) -
John Volker,
Roland Michael
Publication year - 2007
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.1461
Subject(s) - large eddy simulation , turbulence , turbulence modeling , finite element method , projection (relational algebra) , dependency (uml) , flow (mathematics) , statistical physics , mathematics , geometry , physics , computer science , mechanics , algorithm , artificial intelligence , thermodynamics
Projection‐based variational multiscale (VMS) methods, within the framework of an inf–sup stable second order finite element method for the Navier–Stokes equations, are studied in simulations of the turbulent channel flow problem at Re τ = 180. For comparison, the Smagorinsky large eddy simulation (LES) model with van Driest damping is included into the study. The simulations are performed on very coarse grids. The VMS methods give often considerably better results. For second order statistics, however, the differences to the reference values are sometimes rather large. The dependency of the results on parameters in the eddy viscosity model is much weaker for the VMS methods than for the Smagorinsky LES model with van Driest damping. It is shown that one uniform refinement of the coarse grids allows an underresolved direct numerical simulations (DNS). Copyright © 2007 John Wiley & Sons, Ltd.