The numerical modeling of plasma discharges plays an important role in understanding the physical or chemical mechanisms which occurs in plasma-assisted devices. Much of these mechanisms are already factored into current codes. However, many of them do not work with complex geometries. This limitation is mainly due to the use of structured grids, Cartesian grids. These are not well suited for curved geometries. Calculations in structured meshes quickly become complicated and specific to a given geometry. Our work concerns the modeling of electrical discharges produced by a treatment reactor at atmospheric pressure developed by Dow Corning. Its complex configuration and its size led us to a new code operating in unstructured meshes. The mathematical model is based on the Poisson equation coupled with the transport equations in the drift-diffusion approximation. Several numerical disretizations were tested in different physical configurations. We present and validate the chosen numerical methods. The results obtained in the reactor are then exposed and dicussed.
