Abstract
A fully conservative scheme, which can conserve mass, momentum and kinetic energy in the case of infinity Reynolds number, has been designed for simulation of Magnetohydrodynamics (MHD) flows at low magnetic Reynolds numbers. The convective term and the pressure term are discretized by employing a centralâsymmetrical scheme, and the Lorentz force is calculated by designing a consistent and conservative scheme on a staggered mesh. The consistent and conservative scheme can guarantee the calculated current density conserve the charge and the calculated Lorentz force conserve the momentum. The fully conservative scheme is in favor of direct numerical simulation (DNS) and large eddy simulation (LES) of MHD instability and MHD turbulence. The validation and verification of the scheme has been conducted for MHD at low magnetic field or high magnetic field, conductive wall or insulated wall, uniform magnetic field or strong gradient of magnetic field.
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