Non-reflective boundary conditions for a consitent two-dimensional planar electro-magneto-hydrodynamic flow model
Article
Ko, HJ, Dulikravich, GS. (1999). Non-reflective boundary conditions for a consitent two-dimensional planar electro-magneto-hydrodynamic flow model
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Ko, HJ, Dulikravich, GS. (1999). Non-reflective boundary conditions for a consitent two-dimensional planar electro-magneto-hydrodynamic flow model
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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.
