Coherent Structures in a Flow Past a Circular Cylinder at Critical and Super-Critical Reynolds Numbers

Abstract Turbulent flow past a circular cylinder at super-critical Reynolds numbers is simulated using large eddy simulation in this study. A novel combination of O- and H-grid structures is used to reduce mesh cells and, in turn, the computational cost. To investigate the influence of sub-grid scale (SGS) models on the accuracy of simulations, four different SGS models are applied to simulate the flow. In this study, the effect of mesh resolution near the wall on the accuracy of results is also evaluated by applying different y+ values at the wall. The results show that due to the complexity of the flow around the cylinder particularly at high Reynolds numbers, using very high resolution mesh near the cylinder wall, can not guarantee the accuracy of results and other parameters such as mesh resolutions at the top and bottom shear layers and the wake shortly behind the cylinder should be considered appropriately.

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Unsteady forces on a circular cylinder at critical Reynolds numbers

Physics of Fluids ◽

10.1063/1.4904415 ◽

2014 ◽

Vol 26 (12) ◽

pp. 125110 ◽

Cited By ~ 39

Author(s):

O. Lehmkuhl ◽

I. Rodríguez ◽

R. Borrell ◽

J. Chiva ◽

A. Oliva

Keyword(s):

Circular Cylinder ◽

Reynolds Numbers ◽

Unsteady Forces ◽

Critical Reynolds Numbers

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An experiment on the flow past a finite circular cylinder at high subcritical and supercritical Reynolds numbers

Journal of Fluid Mechanics ◽

10.1017/s0022112082000937 ◽

1982 ◽

Vol 118 (-1) ◽

pp. 1 ◽

Cited By ~ 62

Author(s):

Alfred Ayoub ◽

K. Karamcheti

Keyword(s):

Circular Cylinder ◽

Reynolds Numbers ◽

Flow Past

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Nonstationary, Three-Dimensional Aspects of Flow Around Circular Cylinder at Critical Reynolds Numbers

AIAA Journal ◽

10.2514/1.j050674 ◽

2011 ◽

Vol 49 (9) ◽

pp. 1857-1870 ◽

Cited By ~ 7

Author(s):

Ying-Ju Lin ◽

Jiun-Jih Miau ◽

Jung-Kuo Tu ◽

Hsing-Wen Tsai

Keyword(s):

Circular Cylinder ◽

Three Dimensional ◽

Reynolds Numbers ◽

Critical Reynolds Numbers ◽

Flow Around Circular Cylinder

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Unsteady flow past a rotating circular cylinder at Reynolds numbers 103 and 104

Journal of Fluid Mechanics ◽

10.1017/s0022112090003342 ◽

1990 ◽

Vol 220 ◽

pp. 459-484 ◽

Cited By ~ 112

Author(s):

H. M. Badr ◽

M. Coutanceau ◽

S. C. R. Dennis ◽

C. Ménard

Keyword(s):

Reynolds Number ◽

Circular Cylinder ◽

Unsteady Flow ◽

Rotation Rate ◽

Stokes Equations ◽

Reynolds Numbers ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Number Range ◽

Flow Past

The unsteady flow past a circular cylinder which starts translating and rotating impulsively from rest in a viscous fluid is investigated both theoretically and experimentally in the Reynolds number range 103 [les ] R [les ] 104 and for rotational to translational surface speed ratios between 0.5 and 3. The theoretical study is based on numerical solutions of the two-dimensional unsteady Navier–Stokes equations while the experimental investigation is based on visualization of the flow using very fine suspended particles. The object of the study is to examine the effect of increase of rotation on the flow structure. There is excellent agreement between the numerical and experimental results for all speed ratios considered, except in the case of the highest rotation rate. Here three-dimensional effects become more pronounced in the experiments and the laminar flow breaks down, while the calculated flow starts to approach a steady state. For lower rotation rates a periodic structure of vortex evolution and shedding develops in the calculations which is repeated exactly as time advances. Another feature of the calculations is the discrepancy in the lift and drag forces at high Reynolds numbers resulting from solving the boundary-layer limit of the equations of motion rather than the full Navier–Stokes equations. Typical results are given for selected values of the Reynolds number and rotation rate.

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