三维涡流场分析的A,φ-Ω法<sup>*</sup>

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三维涡流场分析的A,φ-Ω法^*

基金项目: * 国家自然科学基金资助项目(59375197)

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

摘要: 本文在分析了不同规范下三维涡流问题的场域方程、界面连续条件后指出:在涡流区采用矢量磁位A,标量电位φ及库仑规范.A=0,在非导电区采用标量磁位Ω的求解策略较为合理,并给出了这一方法(A,φ-Ω法)的全部场域方程、边界条件、界面连续条件和相应的泛函.
- 三维涡流场 /
- A /
- φ-Ω法 /
- 界面连续条件
Abstract: After the field equations and the continuous conditions beteen the interfaces for 3-D eddy current problems under various gauges were discussed, it was pointed out in this paper that using the vector magnetic potential A, electric scalar potential φ and Coulomb gauge A=0 in eddy current regions and using magnetic scalar potential Ω in the nonconducting regions are more suitable. All field equations, the boundary conditions, the continuous conditions between the interfaces and the corresponding variational principle corresponding with this method are also given.
- 3-D eddy current field /
- A,φ-Ω method /
- interface continuous conditions /

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