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Global instability and mode selection in flow fields around rectangular prisms

Published online by Cambridge University Press:  16 January 2023

Zhanbiao Zhang ,
Ahsan Kareem ,
Fuyou Xu Open the ORCID record for Fuyou Xu [Opens in a new window]  and
Hongyi Jiang Open the ORCID record for Hongyi Jiang [Opens in a new window]
Zhanbiao Zhang
Affiliation:
School of Civil Engineering, Dalian University of Technology, Dalian 116024, PR China
Ahsan Kareem
Affiliation:
NatHaz Modeling Laboratory, University of Notre Dame, Notre Dame, IN 46556, USA
Fuyou Xu*
Affiliation:
School of Civil Engineering, Dalian University of Technology, Dalian 116024, PR China
Hongyi Jiang
Affiliation:
Ocean College, Zhejiang University, Zhoushan 316021, PR China School of Engineering, The University of Western Australia, 35 Stirling Highway, Perth, WA 6009, Australia
*
†Email address for correspondence: fuyouxu@hotmail.com
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Abstract

Large-eddy simulations of the unsteady flows around rectangular prisms with chord-to-depth ratios (B/D) ranging from 3 to 12 are carried out at a Reynolds number of 1000. A particular focus of the study is the physical mechanisms governing the global instability of the flow. The coherent structures and velocity spectra reveal that large-scale leading-edge vortices (L vortices) are formed by the coalescence of Kelvin–Helmholtz rollers. Based on dynamic mode decomposition, the interactions between the L vortex and the trailing-edge vortex (T vortex) at different B/D values are revealed. It is found that the phase difference between the L and T vortices is the critical factor promoting a stepwise increase in the Strouhal number with increasing B/D. According to the phase analysis, there are two types of pressure feedback-loop mechanisms maintaining the self-sustained oscillations. When B/D = 4–5, the feedback loop covers the separation region, and the global instability is controlled by the impinging shear-layer instability. When B/D = 3 and 6–12, the feedback loop covers the entire chord, and the global instability is controlled by the impinging leading-edge vortex shedding instability. Self-sustained oscillations of the shear layer still exist after a splitter plate is placed in the near wake, indicating that the T vortex shedding is not essential in triggering the global instability. Nevertheless, with the participation of the T vortex, the primary instability mode may be reselected due to the upper and lower limits of the shedding frequency imposed by the T vortex.

JFM classification

Vortex Flows: Vortex shedding Vortex Flows: Vortex interactions Wakes/Jets: Separated flows
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 955 , 25 January 2023 , A19
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Copyright
© The Author(s), 2023. Published by Cambridge University Press

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