Realizability conditions for the turbulent stress tensor in large-eddy simulation

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In this paper, the turbulent stress tensor in large-eddy simulation is examined from a theoretical point of view. Derived are realizability conditions for the components of this tensor, which hold true if and only if the filter function is positive. For eddy-viscosity models, a lower bound for the generalized turbulent kinetic energy follows as a necessary condition. This result provides an inequality for the model constants appearing in a 'Smagorinsky-type' subgrid model for compressible flows.
Originele taal-2Engels
Pagina's (van-tot)351-362
Aantal pagina's12
TijdschriftJournal of Fluid Mechanics
Volume278
DOI's
StatusGepubliceerd - 1994

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