Electromagnetic Devices with Moving Parts—Simulation with FEM/BEM Coupling
The numerical analysis of electromagnetic devices by means of finite element methods (FEM) is often hindered by the need to incorporate the surrounding domain. The discretisation of the air may become complex and has to be truncated by artificial boundaries incurring a modelling error. Even more pro...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/15/1804 |
| _version_ | 1797525307398291456 |
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| author | Thomas Rüberg Lars Kielhorn Jürgen Zechner |
| author_facet | Thomas Rüberg Lars Kielhorn Jürgen Zechner |
| author_sort | Thomas Rüberg |
| collection | DOAJ |
| description | The numerical analysis of electromagnetic devices by means of finite element methods (FEM) is often hindered by the need to incorporate the surrounding domain. The discretisation of the air may become complex and has to be truncated by artificial boundaries incurring a modelling error. Even more problematic are moving parts that require tedious re-meshing and mapping techniques. In this work, we tackle these problems by using the boundary element method (BEM) in conjunction with FEM. Whereas the solid parts of the electrical device are discretised by FEM, which can easily account for material non-linearities, the surrounding domain is represented by BEM, which requires only a surface discretisation. This approach completely avoids an air mesh and its re-meshing during the simulation with moving or deforming parts. Our approach is robust, shows optimal complexity, and provides an accurate calculation of electromagnetic forces that are required to study the mechanical behaviour of the device. |
| first_indexed | 2024-03-10T09:11:54Z |
| format | Article |
| id | doaj.art-461c1cbbacf04b73995c90d20141005e |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T09:11:54Z |
| publishDate | 2021-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-461c1cbbacf04b73995c90d20141005e2023-11-22T05:56:58ZengMDPI AGMathematics2227-73902021-07-01915180410.3390/math9151804Electromagnetic Devices with Moving Parts—Simulation with FEM/BEM CouplingThomas Rüberg0Lars Kielhorn1Jürgen Zechner2TAILSIT GmbH, Nikolaiplatz 4, 8020 Graz, AustriaTAILSIT GmbH, Nikolaiplatz 4, 8020 Graz, AustriaTAILSIT GmbH, Nikolaiplatz 4, 8020 Graz, AustriaThe numerical analysis of electromagnetic devices by means of finite element methods (FEM) is often hindered by the need to incorporate the surrounding domain. The discretisation of the air may become complex and has to be truncated by artificial boundaries incurring a modelling error. Even more problematic are moving parts that require tedious re-meshing and mapping techniques. In this work, we tackle these problems by using the boundary element method (BEM) in conjunction with FEM. Whereas the solid parts of the electrical device are discretised by FEM, which can easily account for material non-linearities, the surrounding domain is represented by BEM, which requires only a surface discretisation. This approach completely avoids an air mesh and its re-meshing during the simulation with moving or deforming parts. Our approach is robust, shows optimal complexity, and provides an accurate calculation of electromagnetic forces that are required to study the mechanical behaviour of the device.https://www.mdpi.com/2227-7390/9/15/1804multiphysicsforce computationfast multipole methodmultiply connected domains |
| spellingShingle | Thomas Rüberg Lars Kielhorn Jürgen Zechner Electromagnetic Devices with Moving Parts—Simulation with FEM/BEM Coupling Mathematics multiphysics force computation fast multipole method multiply connected domains |
| title | Electromagnetic Devices with Moving Parts—Simulation with FEM/BEM Coupling |
| title_full | Electromagnetic Devices with Moving Parts—Simulation with FEM/BEM Coupling |
| title_fullStr | Electromagnetic Devices with Moving Parts—Simulation with FEM/BEM Coupling |
| title_full_unstemmed | Electromagnetic Devices with Moving Parts—Simulation with FEM/BEM Coupling |
| title_short | Electromagnetic Devices with Moving Parts—Simulation with FEM/BEM Coupling |
| title_sort | electromagnetic devices with moving parts simulation with fem bem coupling |
| topic | multiphysics force computation fast multipole method multiply connected domains |
| url | https://www.mdpi.com/2227-7390/9/15/1804 |
| work_keys_str_mv | AT thomasruberg electromagneticdeviceswithmovingpartssimulationwithfembemcoupling AT larskielhorn electromagneticdeviceswithmovingpartssimulationwithfembemcoupling AT jurgenzechner electromagneticdeviceswithmovingpartssimulationwithfembemcoupling |