A model for limit-cycle switching in open cavity flow
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915843575644160 |
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| author | Negi, Prabal S. |
| author_facet | Negi, Prabal S. |
| contents | A reduced mathematical model for the flow in an open cavity is presented. The reduction is based on the center manifold theory applied to a perturbation of the original system which allows for a codimension two bifurcation point. The model exhibits many of the key characteristics observed in the flow dynamics including unstable quasi-periodic edge states as well as switching of limit cycles with parameter variations. An explanation for the exchange of stabilities of the limit-cycles is presented based on the cross-coupling terms of the two amplitude equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_07689 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A model for limit-cycle switching in open cavity flow Negi, Prabal S. Fluid Dynamics A reduced mathematical model for the flow in an open cavity is presented. The reduction is based on the center manifold theory applied to a perturbation of the original system which allows for a codimension two bifurcation point. The model exhibits many of the key characteristics observed in the flow dynamics including unstable quasi-periodic edge states as well as switching of limit cycles with parameter variations. An explanation for the exchange of stabilities of the limit-cycles is presented based on the cross-coupling terms of the two amplitude equations. |
| title | A model for limit-cycle switching in open cavity flow |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2603.07689 |