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

The electro-magneto-hydrodynamics (EMHD) deals with the motion of electrica lly conducting incompressible fluids under the combined influence of extern ally 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 rela tions and artificial compressibility is expressed as a standard form in Car tesian coordinates. After some simplifications, the resulting EMHD system c omprised of Maxwell equations for the electromagnetic field and modified Na vier-Stokes equations for the flow field, is transformed to a characteristi c form, and the non-reflective boundary conditions are derived. The results show the strong mutual interactions between the flow field and the electro magnetic field. The limiting cases, including the conventional flow field m odel and the electromagnetic field model in vacuum, are recoverable from th ese 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.