基于误差传递方程的离子流场迎风有限元高精度计算方法

doi:10.19595/j.cnki.1000-6753.tces.191305

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Abstract The upwind Finit element method (FEM) is proposed by Takuma to simulate the ion flow field stably and efficiently. The upwind FEM applies very simple numerical scheme and its drawback is that the corresponding numerical error is large. A correction method based on the error transfer equation is proposed to improve the accuracy of the original upwind FEM. The original continuity equation is corrected by the corresponding error transport equation. Numerical experiments show that the proposed method can improve the conservation property of the ion flow field and the accuracy has been significantly improved. This paper provides a general idea to obtain the high-precision calculation results through the explicit difference formats, which can also be applied to simulate other physics problems.

Key words： Ion-flow field upwind difference scheme error transport equation recovered technique

Received: 11 October 2019

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TM15

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	Articles by authors
	Cheng Qiwen
	Wan Baoquan
	Zhang Jiangong
	Zou Jun

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Cheng Qiwen,Wan Baoquan,Zhang Jiangong等. A Highly Accurate Upwind Finite Element Method for Ion-Flow Field Based on the Error Transport Equation[J]. Transactions of China Electrotechnical Society, 2020, 35(21): 4432-4438.

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https://dgjsxb.ces-transaction.com/EN/10.19595/j.cnki.1000-6753.tces.191305 OR https://dgjsxb.ces-transaction.com/EN/Y2020/V35/I21/4432

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