Abstract
The flow of ionized gases under the influence of electromagnetic fields is governed by the coupled system of the compressible flow equations and the full Maxwell equations. In this system, coupling of the flow with the electromagnetic field is obtained through nonlinear and stiff source terms. The high-order discontinuous Galerkin finite element method is used for the numerical solution of this system. For preserving the divergence of the magnetic and the electric vector fields constraints, the perfectly hyperbolic form of the Maxwell equations is adopted for the solution of the electromagnetic field. Implicit time marching is used for the fully coupled system to avoid wrong wave shapes and propagation speeds that are obtained when the coupling source terms are lagged in time or by using splitting iterative schemes. Numerical solutions of fully and partially ionized gas flows with this fully coupled approach showed good agreement with other numerical solutions and exact results.
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