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A Local Dynamic Kinetic Energy Model (LDKM) for large-eddy simulation (LES) of magnetohydrodynamicis (MHD) turbulence is proposed. The proposed MHD turbulence model evaluates all model coecients locally and dynamically without any ad hoc averaging. This model does not assume low magnetic Reynolds numbers. The turbulent residual-helicity eect ( -eect) appearing in the magnetic induction equation is successfully modeled and consistently remains a pseudo-scalar. This paper uses the MHD-LDKM LES model to compute high-Re decaying isotropic turbulence in a magnetic field. A decay model is used for validation. It is observed that the energy spectrum follows a k 5/3 law in DNS and LDKM results. For further validation, the long time behavior of ideal invariants: energy (E), cross helicity (Hc), and magnetic helicity (Hm) are examined. The expected selective decay is observed when Hc is finite. This MHD LDKM model is applicable to wide variety of high/low magnetic Reynolds number applications.

Local Dynamic Subgrid Closure for Compressible MHD Turbulence Simulation