Numerical Modelling of Electrical Discharges

2nd International Conference on Mathematical Modeling in Physical Sciences 2013

物理学;数学

Durán-Olivencia, F.J.^1 ; Pontiga, F.^1 ; Castellanos, A.^2

Departamento de Física Aplicada II, University of Seville, Spain^1

Departamento de Electrónica y Electromagnetismo, University of Seville, Spain^2

关键词: Convection-diffusion-reaction problems;    Electrical discharges;    Fluid approximation;    Local equilibrium;    Numerical integrations;    Particle densities;    Spherical electrodes;    System of partial differential equations;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/490/1/012209/pdf
DOI  :  10.1088/1742-6596/490/1/012209

来源: IOP

【 摘 要 】

The problem of the propagation of an electrical discharge between a spherical electrode and a plane has been solved by means of finite element methods (FEM) using a fluid approximation and assuming weak ionization and local equilibrium with the electric field. The numerical simulation of this type of problems presents the usual difficulties of convection-diffusion-reaction problems, in addition to those associated with the nonlinearities of the charged species velocities, the formation of steep gradients of the electric field and particle densities, and the coexistence of very different temporal scales. The effect of using different temporal discretizations for the numerical integration of the corresponding system of partial differential equations will be here investigated. In particular, the so-called θ-methods will be used, which allows to implement implicit, semi-explicit and fully explicit schemes in a simple way.