摘要
本文提出了一套判断电流连续性方程离散技术优劣的基本判据,为选择合适的离散方法提供了依据,并根据这套判据,提出了一种新的有限差分方法。误差分析和数值实验结果都表明,该方法优于不完全满足基本判据的SG方法和SUPG方法。
This paper presents a set of basic criteria to assess discretization schemes, which provides for choosing a proper discretization scheme of current continuity equation. According to the basic criteria, this paper also presents a new finite difference scheme. Both error analysis and numerical results show that the present scheme is superior to the Scharfetter-Gummel (SG) and Streamline Upwind Petrov/Garlerkin (SUPG) schemes in which the basic criteria are not satisfied.
关键词
电流连续性方程
对流扩散方程
离散方法
Current continuity equation, Discretization scheme, Basic criteria
