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Article information
2021 , Volume 26, ¹ 3, p.26-41
Dobrolyubova D.V., Shurina E.P.
Application of a modified variational formulation of the vector finite element method for modelling a harmonic electric field in areas with curved shields
Purpose. The paper addresses applicability of the modified variational formulation of vector FEM for the harmonic electric field to the media with cylindrical shields. Thin highly conductive objects are treated as surfaces with the equivalent surface current density. We consider the excitation of the field by a local source (current loop) located either inside or outside the cylindrical shield. Methodology. The simulations are carried out on unstructured tetrahedral meshes. Since the modified variational formulation treats thin highly conductive objects as surfaces, only the surface of a cylinder is discretized. The results yielded by the modified variational formulation are compared with the results of the classic vector FEM. Findings. For the frequency range between 100 KHz and 100 MHz, the modified variational formulation provides correct results when the field source is located outside the cylindrical shield. The modified variational formulation reduces computational cost, since the volume of the thin shield is not discretized. When the field source is located inside the shield, the modified variational formulation gives valid results only in the proximity of the source. Originality/value. The limitations for the application of the reduced variational formulation for the modelling of harmonic electric field in the media with hollow cylindrical shields are investigated.
[full text] [link to elibrary.ru]
Keywords: vector finite element method, reduced models, electromagnetic shielding
doi: 10.25743/ICT.2021.26.3.003
Author(s):
Dobrolyubova Darya Vladimirovna
Office: Trofimuk Institute of Petroleum Geology and Geophysics SB RAS, Novosibirsk State Technical University, Novosibirsk State University
Address: Russia, Novosibirsk
Shurina Ella Petrovna
Dr. , Professor
Position: General Scientist
Office: Novosibirsk State Technical University, Trofimuk Institute of Petroleum Geology and Geophysics SB RAS
Address: 630073, Russia, Novosibirsk, Karl Marx Ave. 20
Phone Office: (343) 223-72-95
E-mail: shurina@online.sinor.ru
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Bibliography link:
Dobrolyubova D.V., Shurina E.P. Application of a modified variational formulation of the vector finite element method for modelling a harmonic electric field in areas with curved shields // Computational technologies. 2021. V. 26. ¹ 3. P. 26-41
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