王然¹, 张怀¹, 康彤²

1. UCAS, 中国科学院大学, 计算地球动力学重点实验室, 北京 100049;
2. CUC, 中国传媒大学, 数据科学与智能媒体学院, 北京 100024

收稿日期:2019-03-27出版日期:2021-02-15发布日期:2021-02-04


基金资助:国家重点研发计划资助（编号2020YFA0713401），国家自然科学基金（编号42074108，41904067，41725017）和中央高校基本科研业务费专项资金资助.

A-φ DECOUPLED FINITE ELEMENT SCHEME FOR EDDY CURRENT EQUATIONS WITH A NONLINEAR BOUNDARY CONDITION

Wang Ran¹, Zhang Huai¹, Kang Tong²

1. UCAS, Key Laboratory of Computational Geodynamics, University of Chinese Academy of Sciences, Beijing 100049, China;
2. CUC, School of Data Science and Media Intelligence, Communication University of China, Beijing 100024, China

Received:2019-03-27Online:2021-02-15Published:2021-02-04







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本文研究边界条件符合幂指数型非线性关系H × n = n × (|E × n|^α-1E × n)(0 < α ≤ 1)的涡流方程.使用A-φ耦合有限元格式数值求解这类问题具有较高精度,但计算开销大. A-φ解耦有限元计算格式能够在每个时间步上分别求解矢量A和标量φ,以此降低计算规模,提高计算效率.我们证明了解耦格式中解的存在唯一性,并且给出了它的误差估计.最后给出的数值实验证明了本文所提供的解耦算法是稳定和有效的.
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