Non-reflective boundary conditions for a consistent two-dimensional planar model of electro-magneto-hydrodynamics (EMHD)

The electro-magneto-hydrodynamics (EMHD) deals with the motion of electrically conducting incompressible fluids under the combined influence of externally applied and internally generated electric and magnetic fields. In this paper, the non-reflective boundary conditions for the EMHD flow simulation have been studied. The consistent EMHD model with linear constitutive relations and artificial compressibility is expressed as a standard form in Cartesian coordinates. After some simplifications, the resulting EMHD system comprised of Maxwell equations for the electromagnetic field and modified Navier-Stokes equations for the flow field, is transformed to a characteristic form, and the non-reflective boundary conditions are derived. The results show the strong mutual interactions between the flow field and the electromagnetic field. The limiting cases, including the conventional flow field model and the electromagnetic field model in vacuum, are recoverable from these results. The non-reflective boundary condition formulation for EMHD can be readily extended to the general curvilinear coordinate system and made suitable for direct numerical implementation. (C) 2000 Elsevier Science Ltd. All rights reserved.