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Mean fields and fluctuations in compressible magnetohydrodynamic flows
Published in Geophysical & Astrophysical Fluid Dynamics, 2022
James F. Hollins, Graeme R. Sarson, Cetin Can Evirgen, Anvar Shukurov, Andrew Fletcher, Frederick A. Gent
Gaussian smoothing (or filtering with any other kernel) is not technically or conceptually more difficult to implement and interpret than any other averaging method, but it requires an appropriate filtering scale to be identified. The Gaussian kernel used here is isotropic but the filtering approach also offers the opportunity to use anisotropic kernels wherever appropriate. This can be specially important in the case of the velocity field; for example, SN remnants expand more strongly along the density gradient in galactic discs, and the hot gas is buoyant. It is reasonable to expect that the magnetic field reflects such features of the gas flow and application of an anisotropic filtering kernel might lead to a clearer physical picture, although this would introduce an additional parameter, the degree of the kernel anisotropy. This situation is quite similar to that with the anisotropic wavelet decomposition (e.g. Patrikeev et al.2006).