Classical and snapshot forms of the POD technique applied to a helical vortex filament

Classical and snapshot forms of the POD technique applied to a helical vortex filament. Mula, S. M. & Tinney, C. E. Volume 44th AIAA Fluid Dynamics Conference, AIAA Paper 2014-3257. Atlanta, Georgia. USA, June 16-20, 2014.

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Low-dimensional characteristics of a helical vortex filament from a reduced-scale rotor are investigated using proper orthogonal decomposition (POD). Measurements are captured by way of particle image velocimetry. Experiments are performed on a 1.0 m diameter, single-bladed rotor in hover. The rotor is operated at 1500 RPM, which corresponds to a blade tip chord Reynolds number of 218, 000 and a tip Mach number of 0.23. The blade is set to a collective pitch angle of 7.3°, which resulted in a blade loading (CT /σ) of 0.066. Classical and snapshot techniques of POD are applied to a helical vortex filament, both of which revealed similar characteristics of the dominant modes. Two different techniques (λ1 and geometric center methods) of wander correction are applied to test the sensitivity of the low-dimensional characteristics using POD. Using the λ1 method, POD revealed an elliptic instability that dominated the energy spectrum of the velocity fluctuations within the tip vortex. However, at early vortex ages an axisymmetric mode that performs vortex roll-up is found to be equally dominant. Further, POD revealed that the axisymmetric mode is the only organized motion, which remained nearly unchanged between the two techniques of wander correction for the range of vortex ages studied.

@proceedings {4249,
	title = {Classical and snapshot forms of the POD technique applied to a helical vortex filament},
	publisher = {44th AIAA Fluid Dynamics Conference, AIAA Paper 2014-3257},
	year = {2014},
	month = {June 16-20},
	address = {Atlanta, Georgia. USA},
	abstract = {Low-dimensional characteristics of a helical vortex filament from a reduced-scale rotor are investigated using proper orthogonal decomposition (POD). Measurements are captured by way of particle image velocimetry. Experiments are performed on a 1.0 m diameter, single-bladed rotor in hover. The rotor is operated at 1500 RPM, which corresponds to a blade tip chord Reynolds number of 218, 000 and a tip Mach number of 0.23. The blade is set to a collective pitch angle of 7.3°, which resulted in a blade loading (CT /σ) of 0.066. Classical and snapshot techniques of POD are applied to a helical vortex filament, both of which revealed similar characteristics of the dominant modes. Two different techniques (λ1 and geometric center methods) of wander correction are applied to test the sensitivity of the low-dimensional characteristics using POD. Using the λ1 method, POD revealed an elliptic instability that dominated the energy spectrum of the velocity fluctuations within the tip vortex. However, at early vortex ages an axisymmetric mode that performs vortex roll-up is found to be equally dominant. Further, POD revealed that the axisymmetric mode is the only organized motion, which remained nearly unchanged between the two techniques of wander correction for the range of vortex ages studied.},
	author = {S. M. Mula and C. E. Tinney},
	doi = {10.2514/6.2014-3257},
	url = {https://www.researchgate.net/publication/269193427_Classical_and_snapshot_forms_of_the_POD_technique_applied_to_a_helical_vortex_filament}
}

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