A One-Step Leapfrog ADI Procedure with Improved Absorption for Fine Geometric Details
Based on the alternating direction implicit (ADI) procedure, leapfrog formulation, and a higher order PML scheme, we propose an unconditionally stable perfectly matched layer (PML) algorithm with improved absorption to treat open regions in a finite computational domain with improved overall perform...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-05-01
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| Series: | Electronics |
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| Online Access: | https://www.mdpi.com/2079-9292/10/10/1135 |
| _version_ | 1797534579997802496 |
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| author | Peiyu Wu Han Yu Yongjun Xie Haolin Jiang Toshiaki Natsuki |
| author_facet | Peiyu Wu Han Yu Yongjun Xie Haolin Jiang Toshiaki Natsuki |
| author_sort | Peiyu Wu |
| collection | DOAJ |
| description | Based on the alternating direction implicit (ADI) procedure, leapfrog formulation, and a higher order PML scheme, we propose an unconditionally stable perfectly matched layer (PML) algorithm with improved absorption to treat open regions in a finite computational domain with improved overall performance. The proposed algorithm performed well compared to other algorithms during simulations. We further demonstrated the proposed scheme’s effectiveness using numerical examples. We found that the proposed scheme had enhanced effectiveness and improved the absorption during the whole simulation. Furthermore, it was able to break the stability condition, proving that it is an unconditionally stable scheme. |
| first_indexed | 2024-03-10T11:32:32Z |
| format | Article |
| id | doaj.art-3bfbccd5aee949878cde63e8b25d4fae |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-03-10T11:32:32Z |
| publishDate | 2021-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-3bfbccd5aee949878cde63e8b25d4fae2023-11-21T19:07:34ZengMDPI AGElectronics2079-92922021-05-011010113510.3390/electronics10101135A One-Step Leapfrog ADI Procedure with Improved Absorption for Fine Geometric DetailsPeiyu Wu0Han Yu1Yongjun Xie2Haolin Jiang3Toshiaki Natsuki4School of Electronic and Information Engineering, Beihang University, Beijing 100191, ChinaBeijing Institute of Astronautical Systems Engineering, Beijing 100076, ChinaSchool of Electronic and Information Engineering, Beihang University, Beijing 100191, ChinaSchool of Electronic & Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210096, ChinaFaculty of Textile Science and Technology, Shinshu University, 3-15-1 Tokida, Ueda-shi 386-8567, JapanBased on the alternating direction implicit (ADI) procedure, leapfrog formulation, and a higher order PML scheme, we propose an unconditionally stable perfectly matched layer (PML) algorithm with improved absorption to treat open regions in a finite computational domain with improved overall performance. The proposed algorithm performed well compared to other algorithms during simulations. We further demonstrated the proposed scheme’s effectiveness using numerical examples. We found that the proposed scheme had enhanced effectiveness and improved the absorption during the whole simulation. Furthermore, it was able to break the stability condition, proving that it is an unconditionally stable scheme.https://www.mdpi.com/2079-9292/10/10/1135alternating direction implicit (ADI)one-step leapfrog formulationperfectly matched layer (PML) |
| spellingShingle | Peiyu Wu Han Yu Yongjun Xie Haolin Jiang Toshiaki Natsuki A One-Step Leapfrog ADI Procedure with Improved Absorption for Fine Geometric Details Electronics alternating direction implicit (ADI) one-step leapfrog formulation perfectly matched layer (PML) |
| title | A One-Step Leapfrog ADI Procedure with Improved Absorption for Fine Geometric Details |
| title_full | A One-Step Leapfrog ADI Procedure with Improved Absorption for Fine Geometric Details |
| title_fullStr | A One-Step Leapfrog ADI Procedure with Improved Absorption for Fine Geometric Details |
| title_full_unstemmed | A One-Step Leapfrog ADI Procedure with Improved Absorption for Fine Geometric Details |
| title_short | A One-Step Leapfrog ADI Procedure with Improved Absorption for Fine Geometric Details |
| title_sort | one step leapfrog adi procedure with improved absorption for fine geometric details |
| topic | alternating direction implicit (ADI) one-step leapfrog formulation perfectly matched layer (PML) |
| url | https://www.mdpi.com/2079-9292/10/10/1135 |
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