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Fluids 2017, 2(2), 21; doi:10.3390/fluids2020021

High Wavenumber Coherent Structures in Low Re APG-Boundary-Layer Transition Flow—A Numerical Study

School of Civil and Environmental Engineering, Nanyang Technological University, Singapore 639798, Singapore
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Academic Editor: William Layton
Received: 27 February 2017 / Revised: 13 April 2017 / Accepted: 18 April 2017 / Published: 28 April 2017
(This article belongs to the Special Issue Turbulence: Numerical Analysis, Modelling and Simulation)

Abstract

This paper presents a numerical study of high wavenumber coherent structure evolution in boundary layer transition flow using recently-developed high order Combined compact difference schemes with non-uniform grids in the wall-normal direction for efficient simulation of such flows. The study focuses on a simulation of an Adverse-Pressure-Gradient (APG) boundary layer transition induced by broadband disturbance corresponding to the experiment of Borodulin et al. (Journal of Turbulence, 2006, 7, pp. 1–30). The results support the experimental observation that although the coherent structures seen during transition to turbulence have asymmetric shapes and occur in a random pattern, their local evolutional behaviors are quite similar. Further calculated local wavelet spectra of these coherent structures are also very similar. The wavelet spectrum of the streamwise disturbance velocity demonstrates high wavenumber clusters at the tip and the rear parts of the Λ-vortex. Both parts are imbedded at the primary Λ-vortex stage and spatially coincide with the spike region and high shear layer. The tip part is associated with the later first ring-like vortex, while the rear part with the remainder of the Λ-vortex. These observations help to shed light on the generation of turbulence, which is dominated by high wavenumber coherent structures. View Full-Text
Keywords: combined compact difference; numerical simulation; boundary layer transition; coherent structures; vortex dynamics; wavelet analysis combined compact difference; numerical simulation; boundary layer transition; coherent structures; vortex dynamics; wavelet analysis
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Chen, W.; Lo, E.Y. High Wavenumber Coherent Structures in Low Re APG-Boundary-Layer Transition Flow—A Numerical Study. Fluids 2017, 2, 21.

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