To examine the performance of the dynamic Smagorinsky model in a controlled fashion on anisotropic grids, simulations of forced isotropic turbulence are performed using highly anisotropic discretizations. The resulting model coefficients are compared with an earlier prediction. Two extreme cases are considered: pancake-like grids, for which two directions are poorly resolved compared to the third, and pencil-like grids, where one direction is poorly resolved when compared to the other two.
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Scotti et al. (1997) studied this question.
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