A combined volume penalization / selective frequency damping approach for immersed boundary methods: application to moving geometries
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916085836546048 |
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| author | Kou, Jiaqing Ferrer, Esteban |
| author_facet | Kou, Jiaqing Ferrer, Esteban |
| contents | This work extends, to moving geometries, the immersed boundary method based on volume penalization and selective frequency damping approach [J. Kou, E. Ferrer, A combined volume penalization/selective frequency damping approach for immersed boundary methods applied to high-order schemes, Journal of Computational Physics (2023)]. To do so, the numerical solution inside the solid is decomposed into a predefined movement and an oscillatory part (spurious waves), where the latter is damped by an SFD approach combined with volume penalization. We challenge the method with two cases. First, a new manufactured solution problem is proposed to show that the method can recover high-order accuracy. Second, we validate the methodology by simulating the laminar flow past a moving cylinder, where improved accuracy of the combined method is reported. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2306_00504 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A combined volume penalization / selective frequency damping approach for immersed boundary methods: application to moving geometries Kou, Jiaqing Ferrer, Esteban Fluid Dynamics This work extends, to moving geometries, the immersed boundary method based on volume penalization and selective frequency damping approach [J. Kou, E. Ferrer, A combined volume penalization/selective frequency damping approach for immersed boundary methods applied to high-order schemes, Journal of Computational Physics (2023)]. To do so, the numerical solution inside the solid is decomposed into a predefined movement and an oscillatory part (spurious waves), where the latter is damped by an SFD approach combined with volume penalization. We challenge the method with two cases. First, a new manufactured solution problem is proposed to show that the method can recover high-order accuracy. Second, we validate the methodology by simulating the laminar flow past a moving cylinder, where improved accuracy of the combined method is reported. |
| title | A combined volume penalization / selective frequency damping approach for immersed boundary methods: application to moving geometries |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2306.00504 |