2013/11/08 by Alexander A. Chernyshov, Chernyshov, Alexander A., Kirill. V. Karelsky +3
Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Plasma Physics (physics.plasm-ph) #Solar and Stellar Astrophysics (astro-ph.SR) #astro-ph.SR #physics.flu-dyn #physics.plasm-ph
paper · pdf · doi:10.48550/arxiv.1311.1922
9 pages, 4 figures
arxiv created 2013/11/08 · arxiv updated 2013/11/11
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 ε (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 ε than the top-hat filter in compressible forced MHD turbulence. The 3-point filters at ε=2 and ε=3 give the least accurate results and the 5-point Gaussian filter shows the best results at ε=2.