Aeroelastic Reduced-Order Model Differential Equations in Transonic Buffeting Flow
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| Format: | Preprint |
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2025
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| _version_ | 1866914358135619584 |
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| author | Candon, Michael Marzocca, Pier Dowell, Earl H. |
| author_facet | Candon, Michael Marzocca, Pier Dowell, Earl H. |
| contents | Numerical simulation of the transonic shock buffet phenomenon remains a formidable challenge due to its inherent nonlinear and unsteady characteristics. These difficulties are further compounded in three-dimensional configurations and when aeroelastic coupling is considered. Consequently, computational studies of aeroelastic shock buffet interactions have largely been confined to two-dimensional systems. This limitation underscores the need for reduced-order models (ROMs) capable of efficiently and accurately capturing the aeroelastic response of structures subjected to shock buffet oscillations. This paper presents a novel nonlinear unsteady aerodynamic ROM that integrates nonlinear oscillator dynamics with Volterra theory to model aeroelastic shock buffet phenomena. The coefficients and terms of the resulting Integro-Differential Equation ROM (IDE-ROM) are identified using the Orthogonal Matching Pursuit (OMP) algorithm. Application of the IDE-ROM to an OAT15A airfoil demonstrates that the compact and computationally efficient formulation can reproduce key nonlinear behaviors, including aeroelastic lock-in, with a high degree of accuracy. The limitations and potential extensions of the proposed approach are also critically examined. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_22216 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Aeroelastic Reduced-Order Model Differential Equations in Transonic Buffeting Flow Candon, Michael Marzocca, Pier Dowell, Earl H. Fluid Dynamics Computational Physics Data Analysis, Statistics and Probability Numerical simulation of the transonic shock buffet phenomenon remains a formidable challenge due to its inherent nonlinear and unsteady characteristics. These difficulties are further compounded in three-dimensional configurations and when aeroelastic coupling is considered. Consequently, computational studies of aeroelastic shock buffet interactions have largely been confined to two-dimensional systems. This limitation underscores the need for reduced-order models (ROMs) capable of efficiently and accurately capturing the aeroelastic response of structures subjected to shock buffet oscillations. This paper presents a novel nonlinear unsteady aerodynamic ROM that integrates nonlinear oscillator dynamics with Volterra theory to model aeroelastic shock buffet phenomena. The coefficients and terms of the resulting Integro-Differential Equation ROM (IDE-ROM) are identified using the Orthogonal Matching Pursuit (OMP) algorithm. Application of the IDE-ROM to an OAT15A airfoil demonstrates that the compact and computationally efficient formulation can reproduce key nonlinear behaviors, including aeroelastic lock-in, with a high degree of accuracy. The limitations and potential extensions of the proposed approach are also critically examined. |
| title | Aeroelastic Reduced-Order Model Differential Equations in Transonic Buffeting Flow |
| topic | Fluid Dynamics Computational Physics Data Analysis, Statistics and Probability |
| url | https://arxiv.org/abs/2510.22216 |