EFFICIENT AND ACCURATE PARALLELSIMULATIONS FOR STREAMER DISCHARGE IN THREE DIMENSIONS

Abstract

Streamer discharge is a non-thermal filamentary discharge. Among different models to describe streamer discharge, the fluid model gives a good balance between the characterization of macroscopic quantities and computational capacity. The aim of this work is to propose accurate and efficient numerical methods to solve the fluid model in three dimensions. Details of schemes are illustrated, and the numerical results are reported to show the performance of the proposed methods in comparison with some other numerical methods. More specifically, the first part of this work focuses on the main mechanism of the fluid model and proposes a new second-order semi-implicit scheme. The second part concentrates on the accurate simulation of the photoionization in streamer discharge by the fast multipole method. The last part improves the efficiency of simulation by an adaptive mesh refinement method and provides an implementation of spatial discretization in a non-regular domain using the embedded boundary method.