A Hybridized Discontinuous Galerkin Finite Element Method for Multi-Physics Problems
This paper presents one of the first high-order simulations of inductively coupled plasma (ICP). First, a multi-domain solver using a variant of discontinuous Galerkin method, called the hybridized discontinuous Galerkin method, is developed. This multi-domain solver is verified on an analytical conjugate heat transfer problem, showing that the order of convergence is retrieved. Then, the method is extended to the simulation of an inductively coupled plasma, involving the coupled simulation of magnetohydrodynamic flow inside the torch to the Maxwell equations outside. The method is applied to a test case involving the swirled flow of argon and compared to results obtained with finite volume codes. The results are in very good agreement, but further improvements to the coupling boundaries need to be developed to remove small amplitude wiggles at the interface, which have a negative impact on the predicted heat flux.
