電流連續(xù)性方程離散技術(shù)優(yōu)劣判據(jù)
ASSESSMENT OF THE DISCRETIZATION SCHEME FOR CURRENT CONTINUITY EQUATION
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摘要: 本文提出了一套判斷電流連續(xù)性方程離散技術(shù)優(yōu)劣的基本判據(jù),為選擇合適的離散方法提供了依據(jù),并根據(jù)這套判據(jù),提出了一種新的有限差分方法。誤差分析和數(shù)值實(shí)驗(yàn)結(jié)果都表明,該方法優(yōu)于不完全滿(mǎn)足基本判據(jù)的SG方法和SUPG方法。
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關(guān)鍵詞:
- 電流連續(xù)性方程; 離散方法; 基本判據(jù)
Abstract: 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. -
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