In present study , we discuss results of applicability of discrete filters for large eddy simulation ( LES ) method of forced compressible magnetohydrodynamic ( MHD ) turbulent flows with the scale-similarity model .
Influences and effects of discrete filter shapes on the scale-similarity model are examined in physical space using a finite-difference numerical schemes .
We restrict ourselves to the Gaussian filter and the top-hat filter .
Representations of this subgrid-scale model which correspond to various 3- and 5-point approximations of both Gaussian and top-hat filters for different values of parameter \epsilon ( the ratio of the mesh size to the cut-off lengthscale of the filter ) are investigated .
Discrete filters produce more discrepancies for magnetic field .
It is shown that the Gaussian filter is more sensitive to the parameter \epsilon than the top-hat filter in compressible forced MHD turbulence .
The 3-point filters at \epsilon = 2 and \epsilon = 3 give the least accurate results and the 5-point Gaussian filter shows the best results at \epsilon = 2 .