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LES filters

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In Large eddy simulation (LES) only the large scale motions of the flow are solved for by filtering out the small and universal eddies. In practical applications of some SGS models, implicit filtering is done by the grid itself and programmers need not worry about the filtering operation. The values of velocity on the grid are the filtered values of velocity. However, for some SGS models, such as the Dynamic subgrid-scale model an explicit filtering step is required to compute the SGS stress tensor. Additionally, in the theoretical analysis of LES, filtering a function is defined as convoluting the function with a filtering kernel, just as is typically done in electrical engineering.

Defined below are some of the commonly used filters:

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