In the field of Large Eddy Simulation, the Smagorinsky subgrid scale model(in some form) is the most commonly accepted and used subgrid scale model. Thepurpose of this paper is to address the main weakness of the Smagorinsky model,its poor performance near the wall. The goal is to establish a model thatcorrects the Smagorinsky model near the walls while at the same time minimizingthe computational overhead. A version the Dynamic Subgrid Scale model is alsoincorporated into the finite element code to facilitate comparisons with thenew model near the walls. One of the unique characteristics of Large Eddy Simulations as compared toother methods of dealing with turbulent flows is the idea of filtering. In thispaper we define what a filter is and also address an issue related to filters;the error that results when the filtering and differential operations areinterchanged. This error is studied under the context of the Finite ElementMethod which allows us to focus on the function being filtered rather than thefilter kernal function, which has been the usual approach in studying thiserror.
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