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摘要
A solution procedure for the fully coupled Navier-Stokes and Maxwell equations is described. The approach implements a conservative fluid formulation in which the Lorentz body force and Ohmic heating terms are recast as convective terms. This removes explicit sources from the fluid equations, which have previously introduced severe stiffness and demanded a very delicate numerical treatment. The coupling with the full Maxwell equations enables displacement current effects, charge separation effects, low-conductivity plasma behavior, and electromagnetic wave propagation to be incorporated directly. To circumvent the issue of complicated eigenvectors, an AUSM-type flux splitting scheme is proposed. Validation of the approach is presented for problems of electromagnetic wave propagation in low-conductivity plasma and high-conductivity magnetohydrodynamic problems, which demonstrates a robust, unified hyperbolic method for resolving both the wave and diffusion limits of the electromagnetic behavior in the plasma.
- 出版日期2015-3
