Abstract

In this paper we develop the method of large-eddy simulation (LES) for the full system of magnetohydrodynamics equations for a compressible fluid. We obtain filtered magnetohydrodynamics equations for a compressible fluid using the mass-weighted filtration procedure (Favre filtration). Favre-filtered equations for a large-scale turbulent component comprise terms describing subgrid-scale phenomena. These may be either entirely new terms for the energy equation or combinations of already known terms from models for a neutral compressible gas and models for an incompressible magnetic fluid. In the given paper we propose parametrizations of subgrid-scale terms.

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