Modal Force Partitioning -- A Method for Determining the Aerodynamic Loads for Decomposed Flow Modes with Application to Aeroacoustic Noise
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arXiv
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| Natura: | Preprint |
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2025
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| _version_ | 1866929741149241344 |
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| author | Prakhar, Suryansh Seo, Jung-Hee Mittal, Rajat |
| author_facet | Prakhar, Suryansh Seo, Jung-Hee Mittal, Rajat |
| contents | Aerodynamic loads play a central role in many fluid dynamics applications, and we present a method for identifying the structures (or modes) in a flow that make dominant contributions to the time-varying aerodynamic loads in a flow. The method results from the combination of the force partitioning method (Menon and Mittal, J. Fluid Mech., 907:A37, 2021) and modal decomposition techniques such as Reynolds decomposition, triple decomposition, and proper orthogonal decomposition, and is applied here to three distinct flows - two-dimensional flows past a circular cylinder and an airfoil, and the three-dimensional flow over a revolving rectangular wing. We show that the force partitioning method applied to modal decomposition of velocity fields results in complex, and difficult to interpret inter-modal interactions. We therefore propose and apply modal decomposition directly to the $Q$-field associated with these flows. The variable $Q$ is a non-linear observable that is typically used to identify vortices in a flow, and we find that the direct decomposition of $Q$ leads to results that are more amenable to interpretation. We also demonstrate that this modal force partitioning can be extended to provide insights into the far-field aeroacoustic loading noise of these flows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_05331 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Modal Force Partitioning -- A Method for Determining the Aerodynamic Loads for Decomposed Flow Modes with Application to Aeroacoustic Noise Prakhar, Suryansh Seo, Jung-Hee Mittal, Rajat Fluid Dynamics Aerodynamic loads play a central role in many fluid dynamics applications, and we present a method for identifying the structures (or modes) in a flow that make dominant contributions to the time-varying aerodynamic loads in a flow. The method results from the combination of the force partitioning method (Menon and Mittal, J. Fluid Mech., 907:A37, 2021) and modal decomposition techniques such as Reynolds decomposition, triple decomposition, and proper orthogonal decomposition, and is applied here to three distinct flows - two-dimensional flows past a circular cylinder and an airfoil, and the three-dimensional flow over a revolving rectangular wing. We show that the force partitioning method applied to modal decomposition of velocity fields results in complex, and difficult to interpret inter-modal interactions. We therefore propose and apply modal decomposition directly to the $Q$-field associated with these flows. The variable $Q$ is a non-linear observable that is typically used to identify vortices in a flow, and we find that the direct decomposition of $Q$ leads to results that are more amenable to interpretation. We also demonstrate that this modal force partitioning can be extended to provide insights into the far-field aeroacoustic loading noise of these flows. |
| title | Modal Force Partitioning -- A Method for Determining the Aerodynamic Loads for Decomposed Flow Modes with Application to Aeroacoustic Noise |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2501.05331 |