Multiscale quasi time-periodic coherent structures in shear flows
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917223411482624 |
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| author | Song, Runjie Deguchi, Kengo Kawahara, Genta Hwang, Yongyun |
| author_facet | Song, Runjie Deguchi, Kengo Kawahara, Genta Hwang, Yongyun |
| contents | Attempts to disentangle shear-flow turbulence often focus on identifying relatively simple solutions, such as travelling waves or periodic orbits. We show, however, that capturing multiscale features requires considering states at least as complex as quasi-time-periodic solutions. Approximations of these states can be computed efficiently using a quasi-linear model, consistent with the large-Reynolds-number asymptotic analysis. The quasi-linear structure is key to producing multiscale critical layers that generate vortices obeying Taylor frozen-flow hypothesis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_18023 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Multiscale quasi time-periodic coherent structures in shear flows Song, Runjie Deguchi, Kengo Kawahara, Genta Hwang, Yongyun Fluid Dynamics Attempts to disentangle shear-flow turbulence often focus on identifying relatively simple solutions, such as travelling waves or periodic orbits. We show, however, that capturing multiscale features requires considering states at least as complex as quasi-time-periodic solutions. Approximations of these states can be computed efficiently using a quasi-linear model, consistent with the large-Reynolds-number asymptotic analysis. The quasi-linear structure is key to producing multiscale critical layers that generate vortices obeying Taylor frozen-flow hypothesis. |
| title | Multiscale quasi time-periodic coherent structures in shear flows |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2601.18023 |