Modification of the $k-ω_0$ model for roughness
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910070105702400 |
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| author | Durbin, Paul Yin, Zifei |
| author_facet | Durbin, Paul Yin, Zifei |
| contents | Surface roughness plays a substantial role in many flows for which Reynolds averaged prediction is needed. The transformation used in the k-omega0 model is extended to rough surfaces by adding an effective origin. The log-layer offset is computed as a function of this effective origin, thereby creating a correspondence between effective origin and equivalent sandgrain roughness. A formula is derived for the virtual origin of the fully rough log law. It is shown how the present model is consistent with the fully rough limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_22737 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Modification of the $k-ω_0$ model for roughness Durbin, Paul Yin, Zifei Fluid Dynamics Surface roughness plays a substantial role in many flows for which Reynolds averaged prediction is needed. The transformation used in the k-omega0 model is extended to rough surfaces by adding an effective origin. The log-layer offset is computed as a function of this effective origin, thereby creating a correspondence between effective origin and equivalent sandgrain roughness. A formula is derived for the virtual origin of the fully rough log law. It is shown how the present model is consistent with the fully rough limit. |
| title | Modification of the $k-ω_0$ model for roughness |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2603.22737 |