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Commutation error in LES

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Old   June 17, 2002, 08:10
Default Commutation error in LES
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Dear All,

Could anyone suggest if there is commutation error in LES when finite volume scheme is applied as implicit filtering? If so, how to minimize this error? Many thanks!

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Old   June 17, 2002, 14:50
Default Re: Commutation error in LES
Jongdae Kim
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Remedy : use equal size of cells. Cells should be small enough to capture small scale structures of the flow. (in the case of top-hat filter)

The above description can be proven using simple examples. Small cells means the flow inside the cell should be expressed simple equation (one eddy in a cell is simpler to model than two or more eddies in a cell). So small size cells and changing continuously the cell sizes with small increasing factor can reduce the commutation error.

References could be found as follows;

1. The basic equations for the large eddy simulation of turbulent flows in complex geometry, S. Ghosal & P. Moin

2. Construction of commutative filters for LES on unstructured meshes, Alison L. Marsden, Oleg V. Vasilyev, Parviz Moin

Jongdae Kim.
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