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Attached and separated rotating flow over a finite height ridge

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2024

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Burman, Erik
Johnson, Edward

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Physical Review Fluids. American Physical Society (APS). 2024, 9(8), 084801. eISSN 2469-990X. Verfügbar unter: doi: 10.1103/physrevfluids.9.084801

Zusammenfassung

This article discusses the effect of rotation on the boundary layer in high Reynolds number flow over a ridge using a numerical method based on stabilized finite elements that captures steady solutions up to a Reynolds number of order 106. The results are validated against boundary layer computations in shallow flows and for deep flows against experimental observations reported in Machicoane et al. [Phys. Rev. Fluids 3, 034801 (2018)]. In all cases considered the boundary layer remains attached, even at arbitrarily large Reynolds numbers, provided the Rossby number of the flow is less than some critical Rossby number of order unity. At any fixed Rossby number larger than this critical value, the flow detaches at sufficiently high Reynolds number to form a steady recirculating region in the lee of the ridge. At even higher Reynolds numbers no steady flow is found. This disappearance of steady solutions closely reproduces the transition to unsteadiness seen in the laboratory.

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510 Mathematik

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ISO 690FREI, Stefan, Erik BURMAN, Edward JOHNSON, 2024. Attached and separated rotating flow over a finite height ridge. In: Physical Review Fluids. American Physical Society (APS). 2024, 9(8), 084801. eISSN 2469-990X. Verfügbar unter: doi: 10.1103/physrevfluids.9.084801
BibTex
@article{Frei2024-08-02Attac-70732,
  year={2024},
  doi={10.1103/physrevfluids.9.084801},
  title={Attached and separated rotating flow over a finite height ridge},
  number={8},
  volume={9},
  journal={Physical Review Fluids},
  author={Frei, Stefan and Burman, Erik and Johnson, Edward},
  note={Article Number: 084801}
}
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