Abstract
Numerical errors in large-eddy simulation (LES) are investigated using the eddy-damped quasi-normal Markovian (EDQNM) modeling approach, for finite differences of order 2 to 14, and for optimized differentiation schemes. An EDQNM-LES model is derived to evaluate numerical errors, namely the aliasing and the differentiation errors. The results show that the aliasing errors are negligible whereas the interactions between wavenumbers close to the mesh cut-off wavenumber are responsible for a major part of the differentiation errors. In addition, the accuracy of a LES calculation is seen to be improved when explicit filtering of the higher part of the turbulence spectrum is introduced.
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