常压DBD二维流体模型的FCT方法数值模拟

Numerical Study of Two-dimensional Hydrodynamic Equations for Dielectric Barrier Discharge with Atmospheric Pressure

根据常压介质阻挡放电流体模型的物理方程,采用固定网格有限差分算法,分别用四阶和六阶相位误差FCT方法模拟求解二维流体连续方程.在均匀的初始条件下研究放电雪崩过程中电子密度的时空演化,具体分析和比较两种算法的差异.FCT方法模拟求解得出的计算结果与气体放电理论吻合较好,是一种具有较好的准确性和高精度的算法.

In a fluid model of DBD （dielectric barrier discharge） with atmospheric pressure, a finite difference algorithm with fixed grids is adopted to solve two-dimensional fluid continuous equations by using four-order and six-order phase error FCT （flux-corrected transport） methods, respectively. With uniform initial conditions, spatial evolution of the electron density during avalanche propagation is studied. Two FCT algorithms are compared in detail. The simulation agrees with theoretical and experimental results. It demonstrates high accuracy and precision of the FCT method.