A Local Discontinuous Galerkin Method for 1.5-Dimensional Streamer Discharge Simulations

TL;DR

This paper introduces a high-resolution local discontinuous Galerkin method for simulating 1.5-dimensional streamer discharges, demonstrating its potential for accurate and efficient modeling of complex streamer phenomena.

Contribution

It presents a novel application of the local discontinuous Galerkin method to streamer discharge simulations, combining finite volume and finite element advantages.

Findings

Successful simulation of double-headed streamer in nitrogen

High-order accuracy achieved in transient discharge modeling

Potential for extending to complex geometries

Abstract

Streamer discharges are important both in theory and industry applications. This paper proposed a local discontinuous Galerkin method to simulate the convection dominated fluid model of streamer discharges. To simulate the rapid transient streamer discharge process, a method with high resolution and high order accuracy is highly desired. Combining the advantages of finite volume and finite element method, local discontinuous Galerkin method is such a choice. In this paper, a simulation of a double-headed streamer discharge in nitrogen was performed by using 1.5-dimensional fluid model. The preliminary results indicate the potential of extending the method to general streamer simulations in complex geometries.