Analysis of numerical errors in large eddy simulation using statistical closure theory
by
N. Park & K. Mahesh
in
Journal of Computational Physics, 222: 194-216., 2007.
Category: Journal Article
Keywords: large eddy simulation, subgrid scale model, velocity estimation, isotropic turbu-
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Abstract:
A new subgrid scale model (R-SEM) is proposed, that estimates the unresolved velocity Żeld, and uses this estimate to compute the subgrid scale stress. The model is developed in physical space, and does not require the use of Żner grids to estimate the subgrid velocity Żeld. Also, subgrid dissipation as estimated by the dynamic Smagorinsky model, is imposed as a constraint on the estimated velocity Żeld. The model has one coe±cient, which is dynamically determined by equating the ensemble average of the modeled SGS dissipation to the target SGS dissipation. Results are shown for LES of decaying isotropic turbulence and turbulent channel °ow. For isotropic turbulence, R-SEM is able to produce some level of backward dissipation, while exhibiting as good results as the dynamic Smagorinsky model. For channel °ow, results from R-SEM are better than those from the dynamic Smagorinsky model, both for statistics, and instantaneous °ow structures.
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