Author | A. E. Tejada-Martinez and K. E. Jansen |
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Title | A dynamic Smagorinsky model with dynamic determination of the filter width ratio |
Year | 2004 |
Journal | Physics of Fluids |
Volume | 16 |
Pages | 2514-2528 |
Issue | 7 |
Abstract | Various low-pass, spatial test filters specific to dynamic model large- eddy simulation (LES) on finite element topologies are proposed and analyzed. A number of simulations of decaying isotropic turbulence are performed using the stabilized finite element method of Whiting and Jansen with the purpose of understanding the dependence of the dynamic model on the test filter of choice and the elusive filter width ratio. From these numerical experiments, a key assumption is extracted leading to the derivation of a new dynamic model in which the sole model parameter, the filter width ratio, is computed dynamically. Traditionally, the dynamic model parameter has taken the filter width ratio as a constant. The new dynamic model is tested on LES of decaying isotropic turbulence on hexahedral, tetrahedral, and wedge topologies. |
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