Double multiple-relaxation-time model of lattice-Boltzmann magnetohydrodynamics at low magnetic Reynolds numbers

We develop an improved lattice-Boltzmann numerical scheme to solve magnetohydrodynamic (MHD) equations in the regime of low magnetic Reynolds numbers, grounded on central-moment (CM) and multi-relaxation-time (MRT) collision models. The simulation induction equation within approach MHD has been usually devised along lines simplest phenomenological description—the single relaxation time (SRT) model complete equation. In order deal with well-known stability difficulties SRT framework for larger scales, we introduce, alternatively, a MRT technique solution equation, which proves be efficient extending domain applicability method problems. also put forward novel practical boundary condition cope subtleties Boltzmann-like distributions curved boundaries. As supporting applications, discuss performance CM–MRT algorithm describe complex dynamics 3D Orszag–Tang vortex problem open issues related transient flow regimes pipe flows, subject uniform non-uniform fields.