Bistable flow dynamics of airfoil stall under varying angle of attack: A stochastic model with multiplicative noise
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915488236306432 |
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| author | Boujo, Edouard Atallah, Ivan Kharsansky Pastur, Luc R. |
| author_facet | Boujo, Edouard Atallah, Ivan Kharsansky Pastur, Luc R. |
| contents | We focus on the intermittent bistable stall dynamics of an airfoil under varying angle of attack. We propose a one-dimensional Langevin equation where the stochastic forcing depends on the state of the system -- high-lift attached flow or low-lift detached flow -- and where the deterministic potential depends continuously on the angle of attack. The model, identified based on the flow statistics and dynamics, reproduces the S-shaped lift curve, as well as the flow dynamics. It also predicts the nature of the bifurcations that the flow undergoes as the angle of attack varies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_11437 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bistable flow dynamics of airfoil stall under varying angle of attack: A stochastic model with multiplicative noise Boujo, Edouard Atallah, Ivan Kharsansky Pastur, Luc R. Fluid Dynamics We focus on the intermittent bistable stall dynamics of an airfoil under varying angle of attack. We propose a one-dimensional Langevin equation where the stochastic forcing depends on the state of the system -- high-lift attached flow or low-lift detached flow -- and where the deterministic potential depends continuously on the angle of attack. The model, identified based on the flow statistics and dynamics, reproduces the S-shaped lift curve, as well as the flow dynamics. It also predicts the nature of the bifurcations that the flow undergoes as the angle of attack varies. |
| title | Bistable flow dynamics of airfoil stall under varying angle of attack: A stochastic model with multiplicative noise |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2508.11437 |