Streamer Simulation Based on Discontinuous Galerkin Method with Hierarchical Reconstruction

To simulate the rapid transient streamer discharge process, a method with high resolution and high order accuracy is usually required. This paper presents such a method based on discontinuous Galerkin (DG) method combined with hierarchical reconstruction (HR) for simulating the fluid model of streamer discharges. Numerical comparisons suggest that DG with HR is superior in both resolution and accuracy over other commonly used methods for streamer simulations. The method is also applied for simulating a double headed streamer discharge based on a 1.5 dimensional fluid model. The results are qualitatively agreed with those obtained by finite volume method using a 2D model. This sheds a light for simulating streamer propagations in multi-dimensions by using DG with HR.