Linearized Harmonic Methods For Unsteady Airfoil Simulations

Date

2023-8-17

Author

Şenkardeşler, Mert

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Airfoils, subjected to continuous transient motions, encounter cyclical disturbances such as pitching and plunging motions and mechanical vibrations. Conventional methods for examining these disturbances rely on computationally demanding temporal domain solvers. These approaches often require multiple runs for fluid-structure coupling, further amplifying their inefficiency. This research addresses these issues by reframing the compressible flow equations into the complex domain, synchronizing them with standard complex variable formulations of the vibration problems in the structural domain. The study retools the harmonic method previously used in turbomachinery analyses to investigate cyclical disturbances over airfoils. The proposed complex-variable-based method offers a highly efficient solution, capturing frequency, phase, and amplitude information, thus facilitating fluid-structure interactions. By utilizing this advanced approach, solution speeds are accelerated by two to three orders of magnitude compared to traditional methods. This reduction in computational time paves the way for more in-depth airfoil performance analysis under varied conditions. The proposed method had been tested on unsteady problems with NACA012 and NACA64A010 airfoils where in the case of former, the results matched with the experimental findings. Further testing is done on the NACA012 airfoil on canonical flutter test case. Testing confirms the accuracy of the method, demonstrating its potential for practical applications in airfoil design and analysis.

Subject Keywords

CFD, Compressible Flow, Harmonic Method, Vibration, Airfoil

URI

https://hdl.handle.net/11511/105262

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Graduate School of Natural and Applied Sciences, Thesis