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An effective educational tool for straightforward learning of numerical modeling in engineering electromagnetics
Computer Applications in Engineering Education ( IF 2.9 ) Pub Date : 2021-03-21 , DOI: 10.1002/cae.22409
Gaojia Zhu 1 , Longnv Li 1 , Ming Xue 1 , Tao Liu 1
Affiliation  

“Engineering Electromagnetics” is the “most familiar stranger” of college students who major in electrical engineering (EE). Through years of physics learning, the students have had a certain understanding of the basic theories of electromagnetic fields. However, during studying the course, especially the numerical modeling chapter, large-scale mathematical derivations need to be conducted, which significantly enhance the difficulty for students. The cell method (CM) is a newly established numerical method based on the direct derivation of physical laws in cell-complexes, and the physical meanings of the equations are clear and definite. By establishing and applying the education platform based on CM, the students' cognition and mastery of electromagnetic theories and numerical techniques can be deepened substantially. In this paper, the electromagnetic field is mathematically modeled based on CM, and the related transformations in the dual cell complexes are illustrated through the Tonti diagram in class. The simulation platform for electromagnetic fields based on CM is established by coding mathematical models. After teaching the methodologies, students are asked to numerically simulate two static field problems with simple geometric structures by using the methodologies, and the results show that they can better understand and perform in numerically related courses based on CM compared with the performances of former students taught with the finite element method. A questionnaire is utilized to survey the teaching effectiveness, and the students' satisfaction is validated by the questionnaire survey. Finally, the methodologies are employed to analyze the electric and magnetic field of two complex engineering cases, and the students can better understand the use of the numerical methods by analysis. Through the numerical simulations based on CM, the students' ability to apply numerical algorithms to solve complex engineering cases is cultivated, and teaching effectiveness of the numerical analysis chapter in Engineering Electromagnetics is enriched.

中文翻译:

直接学习工程电磁学数值建模的有效教育工具

“工程电磁学”是电气工程(EE)专业大学生“最熟悉的陌生人”。通过多年的物理学习,学生对电磁场的基本理论有了一定的了解。但是在学习课程的过程中,尤其是数值建模章节,需要进行大规模的数学推导,大大增加了学生的难度。胞元法(CM)是一种新建立的数值方法,它基于胞络合物物理定律的直接推导,方程的物理意义明确。通过建立和应用基于CM的教育平台,可以大大加深学生对电磁理论和数值技术的认知和掌握。在本文中,基于CM对电磁场进行数学建模,并通过课堂上的Tonti图说明双细胞复合体中的相关变换。通过对数学模型进行编码,建立了基于CM的电磁场仿真平台。在教授方法论后,要求学生使用该方法论对两个具有简单几何结构的静态场问题进行数值模拟,结果表明,与以前教授的学生的表现相比,他们可以更好地理解和执行基于 CM 的数值相关课程。用有限元法。采用问卷调查教学效果,通过问卷调查验证学生的满意度。最后,运用方法论对两个复杂工程案例的电场和磁场进行分析,学生通过分析可以更好地理解数值方法的使用。通过基于CM的数值模拟,培养学生应用数值算法解决复杂工程案例的能力,丰富工程电磁学数值分析章节的教学效果。
更新日期:2021-03-21
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