Dynamic gradient-diffusion subgrid models for incompressible magnetohydrodynamic turbulence

The performance of different dynamic gradient-diffusion type subgrid models is evaluated in large-eddy simulations (LES) of magnetohydrodynamic (MHD) turbulence with a maximum of 643 collocation points. The reference data stems from high-resolution direct numerical simulations of decaying and forced MHD turbulence with up to 5123 spectral modes. Comparisons between LES’ and the grid filtered reference systems are carried out regarding the temporal evolution of the global quantities kinetic and magnetic energy, cross helicity, magnetic helicity, and the spectra of energy and energy flux. The influence of the subgrid models on the statistical properties of the simulated flows is also examined. Apart from unconditionally dissipative models, direct divergence modeling and the effects of additional explicit filtering in combination with a tensor-diffusivity term are considered. A new genuine MHD subgrid model, based on the cross-helicity invariant, is presented and observed to perform outstandingly well.

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