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In present study, we discuss results of applicability of discrete filters forlarge eddy simulation (LES) method of forced compressible magnetohydrodynamic(MHD) turbulent flows with the scale-similarity model. Influences and effectsof discrete filter shapes on the scale-similarity model are examined inphysical space using a finite-difference numerical schemes. We restrictourselves to the Gaussian filter and the top-hat filter. Representations ofthis subgrid-scale model which correspond to various 3- and 5-pointapproximations of both Gaussian and top-hat filters for different values ofparameter $\epsilon$ (the ratio of the mesh size to the cut-off lengthscale ofthe filter) are investigated. Discrete filters produce more discrepancies formagnetic field. It is shown that the Gaussian filter is more sensitive to theparameter $\epsilon$ than the top-hat filter in compressible forced MHDturbulence. The 3-point filters at $\epsilon=2$ and $\epsilon=3$ give the leastaccurate results and the 5-point Gaussian filter shows the best results at$\epsilon=2$.

Discrete Filters for Large Eddy Simulation of Forced Compressible MHD Turbulence