High resolution simulation of direct current discharge coupled with a magnetic field

In this paper, we shall discuss a high resolution numerical approach to solve the drift-diffusion models in order to simulate direct current discharge under the externally applied magnetic field. The method is based on a diagonally dominant delta form to enable high resolution solutions to be obtained without being contaminated by numerical artifact. We will demonstrate our solution methodology by solving the electrodynamic structures of the classic parallel electrodes of infinite and finite dimension, as well as, the side-by-side electrode configurations with an externally applied transverse magnetic field.