.png){kind=icon}
返回
Divergence correction techniques for Maxwell solvers based on a hyperbolic model
.png){kind=icon}
PRE
AI
DOI：10.1006/jcph.2000.6507.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
Usually, non-stationary numerical calculations in electromagnetics are based on the hyperbolic evolution equations for the electric and magnetic fields and leave Gauss' law out of consideration because the latter is a consequence of the former and of the charge conservation equation in the continuous case. However, in the simulation of the self-consistent movement of charged particles in electromagnetic fields, it is a well-known fact that the approximation of the particle motion introduces numerical errors and that, consequently, the charge conservation equation is not satisfied on the dicrete level. Then, in order to avoid the increase of errors in Gauss' law, a divergence cleaning step which solves a Poisson equation for a correction potential is often added. In the present paper, a new method for incorporating Gauss' law into non-stationary electromagnetic simulation codes is developed, starting from a constrained formulation of the Maxwell equations. The resulting system is hyperbolic, and the divergence errors propagate with the speed of light to the boundary of the computational domain. Furthermore, the basic ideas of the numerical approximation are introduced and the extended hyperbolic system is treated numerically within the framework of high-resolution finite-volume schemes. Simulation results obtained with this new technique for pure electromagnetic wave propagation and for an electromagnetic particle-in-cell computation are presented and compared with Other methods. (C) 2000 Academic Press.
Keyword:
FINITE-ELEMENT METHOD
CHARGE CONSERVATION
GAUSS LAW
EQUATIONS
GRIDS
ELECTROMAGNETICS
CODES
期刊
IF:
3.8
论文数:
1.6W
被引数:
7.4W
机构
暂无机构信息
引用论文
Development of 10-Vrms sampling measurement system using AC-programmable Josephson voltage standard
PREAI
分享收藏Exome-wide evidence of compound heterozygous effects across common phenotypes in the UK Biobank.png)
OAAI
IF0
OAAI分享收藏
Orthographic and phonological processing skills in reading and spelling in Persian/English bilinguals波斯语/英语双语者阅读和拼写的正字法和语音处理技巧
PREAI
分享收藏
查看更多内容