An AUSM-based Algorithm for Solving the Coupled Navier-Stokes and Maxwell Equations

摘要

The AUSM family of schemes has been successful in simulating fluid dynamic and magnetohydrodynamic flows. In this paper, we extend the AUSM method to solve the Navier-Stokes equations coupled to the full Maxwell equations. This approach permits the inclusion of electromagnetic wave propagation, displacement current and charge separation effects. Validation of the approach is presented for problems of electromagnetic wave propagation and magnetohydrodynamics, which demonstrates a robust, unified hyperbolic method for solving both the wave and diffusion limits in the same computational domain.