Structured input-output analysis of oblique turbulent bands in Waleffe flow
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911675264794624 |
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| author | George, Jino Liu, Chang |
| author_facet | George, Jino Liu, Chang |
| contents | This work employs structured input-output analysis (SIOA) to study Waleffe flow. The SIOA framework employs structured uncertainty to include the componentwise structure of nonlinearity in Navier-Stokes equations, and SIOA quantifies the flow response using structured singular values. The structured input-output analysis identifies the wavelength and inclination angle of oblique turbulent bands observed in large-domain direct numerical simulations. The structured input-output response scales over Reynolds number as $\sim Re^{1.7}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_12166 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Structured input-output analysis of oblique turbulent bands in Waleffe flow George, Jino Liu, Chang Fluid Dynamics Systems and Control This work employs structured input-output analysis (SIOA) to study Waleffe flow. The SIOA framework employs structured uncertainty to include the componentwise structure of nonlinearity in Navier-Stokes equations, and SIOA quantifies the flow response using structured singular values. The structured input-output analysis identifies the wavelength and inclination angle of oblique turbulent bands observed in large-domain direct numerical simulations. The structured input-output response scales over Reynolds number as $\sim Re^{1.7}$. |
| title | Structured input-output analysis of oblique turbulent bands in Waleffe flow |
| topic | Fluid Dynamics Systems and Control |
| url | https://arxiv.org/abs/2605.12166 |