POD-Galerkin FSI Analysis for Flapping Motion
FSI simulations of flapping motions have been widely investigated to develop a flapping-wing micro air vehicle. Because an intensive parametric study is important for the product design, a computationally efficient model is required. The purpose of the present study was to develop a reduced-order mo...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-11-01
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| Series: | Biomimetics |
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| Online Access: | https://www.mdpi.com/2313-7673/8/7/523 |
| _version_ | 1797460001045872640 |
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| author | Shigeki Kaneko Shinobu Yoshimura |
| author_facet | Shigeki Kaneko Shinobu Yoshimura |
| author_sort | Shigeki Kaneko |
| collection | DOAJ |
| description | FSI simulations of flapping motions have been widely investigated to develop a flapping-wing micro air vehicle. Because an intensive parametric study is important for the product design, a computationally efficient model is required. The purpose of the present study was to develop a reduced-order model of flapping motion. Among the various methods available to solve FSI problems, we employed the Dirichlet–Neumann partitioned iterative method, in which three sub-systems (fluid mesh update, fluid analysis, and structural analysis) are executed. In the proposed analysis system, first, snapshot data of structural displacement, fluid velocity, fluid pressure, and displacement for the fluid mesh update were collected from a high-fidelity FSI analysis. Then, the snapshot data were used to create low-dimensional surrogate systems of the above three sub-systems based on the POD under Galerkin projection (i.e., the POD-Galerkin method). In numerical examples, we considered a two-dimensional FSI problem of simplified flapping motion. The problem was described via two parameters: frequency and amplitude of flapping motion. We demonstrated the effectiveness of the presented reduced-order model in significantly reducing computational time while preserving the desired accuracy. |
| first_indexed | 2024-03-09T16:59:44Z |
| format | Article |
| id | doaj.art-c903e1fc0e6c415184352bd6864916c7 |
| institution | Directory Open Access Journal |
| issn | 2313-7673 |
| language | English |
| last_indexed | 2024-03-09T16:59:44Z |
| publishDate | 2023-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Biomimetics |
| spelling | doaj.art-c903e1fc0e6c415184352bd6864916c72023-11-24T14:31:35ZengMDPI AGBiomimetics2313-76732023-11-018752310.3390/biomimetics8070523POD-Galerkin FSI Analysis for Flapping MotionShigeki Kaneko0Shinobu Yoshimura1Department of Systems Innovations, School of Engineering, The University of Tokyo, Tokyo 113-8656, JapanDepartment of Systems Innovations, School of Engineering, The University of Tokyo, Tokyo 113-8656, JapanFSI simulations of flapping motions have been widely investigated to develop a flapping-wing micro air vehicle. Because an intensive parametric study is important for the product design, a computationally efficient model is required. The purpose of the present study was to develop a reduced-order model of flapping motion. Among the various methods available to solve FSI problems, we employed the Dirichlet–Neumann partitioned iterative method, in which three sub-systems (fluid mesh update, fluid analysis, and structural analysis) are executed. In the proposed analysis system, first, snapshot data of structural displacement, fluid velocity, fluid pressure, and displacement for the fluid mesh update were collected from a high-fidelity FSI analysis. Then, the snapshot data were used to create low-dimensional surrogate systems of the above three sub-systems based on the POD under Galerkin projection (i.e., the POD-Galerkin method). In numerical examples, we considered a two-dimensional FSI problem of simplified flapping motion. The problem was described via two parameters: frequency and amplitude of flapping motion. We demonstrated the effectiveness of the presented reduced-order model in significantly reducing computational time while preserving the desired accuracy.https://www.mdpi.com/2313-7673/8/7/523reduced-order modelproper orthogonal decompositionfluid–structure interactionpartitioned iterative coupled analysisflapping motion |
| spellingShingle | Shigeki Kaneko Shinobu Yoshimura POD-Galerkin FSI Analysis for Flapping Motion Biomimetics reduced-order model proper orthogonal decomposition fluid–structure interaction partitioned iterative coupled analysis flapping motion |
| title | POD-Galerkin FSI Analysis for Flapping Motion |
| title_full | POD-Galerkin FSI Analysis for Flapping Motion |
| title_fullStr | POD-Galerkin FSI Analysis for Flapping Motion |
| title_full_unstemmed | POD-Galerkin FSI Analysis for Flapping Motion |
| title_short | POD-Galerkin FSI Analysis for Flapping Motion |
| title_sort | pod galerkin fsi analysis for flapping motion |
| topic | reduced-order model proper orthogonal decomposition fluid–structure interaction partitioned iterative coupled analysis flapping motion |
| url | https://www.mdpi.com/2313-7673/8/7/523 |
| work_keys_str_mv | AT shigekikaneko podgalerkinfsianalysisforflappingmotion AT shinobuyoshimura podgalerkinfsianalysisforflappingmotion |