Contribution on the source field calculation through the biot-savart equation using curvilinear elements and an adaptive process

Nunes, A.; Chadebec, O.; Kuo-Peng, P.; Dular, Patrick; Cucco, B.

doi:10.2528/PIERC18081004

Article (Scientific journals)

Contribution on the source field calculation through the biot-savart equation using curvilinear elements and an adaptive process

Nunes, A.; Chadebec, O.; Kuo-Peng, P. et al.

2018 • In Progress In Electromagnetics Research C, 88, p. 145-161

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https://hdl.handle.net/2268/265176

DOI
10.2528/PIERC18081004

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Keywords :

Economic and social effects; Gaussian distribution; Integration; Adaptive methods; Adaptive process; Biot-Savart equations; Curvilinear elements; Field calculation; Integration process; Numerical integrations; Simulation time; Numerical methods

Abstract :

[en] The analytical solution of the Biot-Savart equation can be complex in some cases, and its numerical integration is commonly more appropriate. In this paper, it is integrated using the Gauss- Legendre method through 1, 2 and 3-D domains, using first and second-order (curvilinear) isoparametric mapping. In order to verify the gain of accuracy with second-order elements, the results obtained are compared with analytical cases and with the Finite Element Method. Then this paper presents an adaptive method which profits from the accuracy along those elements with higher energy values, by reducing the number of Gauss points along the elements with lower energy. This approach reduces the total number of Gauss points evaluated during the integration process and provides a possibility to choose an interesting trade-off between simulation time and accuracy. © 2018, Electromagnetics Academy. All rights reserved.

Disciplines :

Electrical & electronics engineering

Author, co-author :

Nunes, A.; GRUCAD/UFSC — Universida de Federal de Santa Catarina, Florianópolis, CEP: 88040-970, Brazil, GeePs — Group of Electrical Engineering — Paris, CNRS, Centrale Supélec, Université Paris-Sud, Université Paris-Saclay, Sorbonne Université, 3 & 11 rue Joliot-Curie, Plateau de Moulon, Gif-sur-Yvette CEDEX, 91192, France

Chadebec, O.; Université Grenoble Alpes, CNRS, G2Elab, Grenoble, F-38000, France

Kuo-Peng, P.; GRUCAD/UFSC — Universida de Federal de Santa Catarina, Florianópolis, CEP: 88040-970, Brazil

Dular, Patrick ; Université de Liège - ULg

Cucco, B.; Institute of Exact Sciences, UFMG — Universida de Federal de Minas Gerais, Belo Horizonte, CEP: 31270-901, Brazil

Language :

English

Title :

Contribution on the source field calculation through the biot-savart equation using curvilinear elements and an adaptive process

Publication date :

2018

Journal title :

Progress In Electromagnetics Research C

ISSN :

1937-8718

Publisher :

EMW Publishing, United States

Volume :

Pages :

145-161

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since 21 November 2021

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