Advection-based spatiotemporal reconstruction techniques for turbulent velocity fields
Date
2023-05-01
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Abstract
Turbulent flows are characterized by interactions of widespread spatiotemporal scales. Experimental techniques such as Particle Image Velocimetry can provide correlated flow measurements, however, obtaining suitable resolution of temporal and spatial scales remains challenging. This work investigates the ability of an advection-based flow reconstruction technique to increase the temporal resolution of turbulent flow data. A semi-Lagrangian technique is used to obtain instantaneous fluid trajectories through a forward and backward integration of the known data. The estimates are then fused using a temporal weighting scheme to yield velocity fields at intermediate times. The performance of the method is verified against a benchmark direct numerical simulation (DNS) data set. Spectral information up to two orders of magnitude beyond the Nyquist criteria is successfully - surpassing the performance of previously introduced methods. Correlation maps are used to quantify the spatial loss of memory and define a criterion for the maximum recoverable frequency.
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Keywords
Turbulence, Particle Image Velocimetry, Rapid Distortion Theory, Nyquist Frequency
Citation
Vocke, M. (2023). Advection-based spatiotemporal reconstruction techniques for turbulent velocity fields (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca.