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Quantitative numerical analysis of flow past a circular cylinder at Reynolds number between 50 and 200

Qu, Lixia ; Norberg, Christoffer LU ; Davidson, Lars ; Peng, Shia-Hui and Wang, Fujun (2013) In Journal of Fluids and Structures 39. p.347-370
Abstract
Results of numerical simulations are presented for flow past a stationary circular cylinder at low Reynolds numbers (Re=50-200). The simulations were carried out using a finite-volume code employing a fractional step method with second-order accuracy in both space and time. A sensitivity study on numerical parameters concerning the domain size, grid independence and time step resolution was carried out in detail for Re=100. Global time-averaged results on force coefficients, non-dimensional velocities and pressures, including their corresponding r.m.s. values, as well as various quantities related to the separation and vortex shedding characteristics are presented. A non-monotonous streamwise velocity recovery in the intermediate wake is... (More)
Results of numerical simulations are presented for flow past a stationary circular cylinder at low Reynolds numbers (Re=50-200). The simulations were carried out using a finite-volume code employing a fractional step method with second-order accuracy in both space and time. A sensitivity study on numerical parameters concerning the domain size, grid independence and time step resolution was carried out in detail for Re=100. Global time-averaged results on force coefficients, non-dimensional velocities and pressures, including their corresponding r.m.s. values, as well as various quantities related to the separation and vortex shedding characteristics are presented. A non-monotonous streamwise velocity recovery in the intermediate wake is observed for Re > 50, a phenomenon that has been grossly overlooked in the past. There are two plateaus along the wake centerline, in particular for Re=200. The first, which is the most distinct, ranges from about x=9 to x=16 at a wake deficit velocity of 0.38, x being counted in diameters behind the cylinder axis; the second one appears from x=25 to x=28 at a wake deficit velocity of 0.54. This phenomenon seems to be related to an associated change-over in the orientation of the von Karman vortices and the merging trends, especially for Re=200 beyond x=25, as observed from instantaneous vorticity fields. Three-dimensional simulations using spanwise lengths of 10 and 12 (diameters) were carried out at Re=200. After a long initial phase with regular three-dimensional mode A flow features increasing very slowly in amplitude, the flow went into a state with distinct pulsating forces acting on the cylinder, the pulsations being seemingly randomly localized across the cylinder span. In this second, much more chaotic, flow state, the time-averaged results were in agreement with previous experiments and with parts of previous numerical studies. (C) 2013 Elsevier Ltd. All rights reserved. (Less)
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author
; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Circular cylinder, Incompressible flow, Numerical simulation, Low, Reynolds number, Vortex shedding
in
Journal of Fluids and Structures
volume
39
pages
347 - 370
publisher
Elsevier
external identifiers
  • wos:000319172000022
  • scopus:84880178245
ISSN
1095-8622
DOI
10.1016/j.jfluidstructs.2013.02.007
language
English
LU publication?
yes
id
3e5c6105-7ee3-450f-88fc-11decc0b403c (old id 3932269)
date added to LUP
2016-04-01 10:21:49
date last changed
2022-04-12 05:32:31
@article{3e5c6105-7ee3-450f-88fc-11decc0b403c,
  abstract     = {{Results of numerical simulations are presented for flow past a stationary circular cylinder at low Reynolds numbers (Re=50-200). The simulations were carried out using a finite-volume code employing a fractional step method with second-order accuracy in both space and time. A sensitivity study on numerical parameters concerning the domain size, grid independence and time step resolution was carried out in detail for Re=100. Global time-averaged results on force coefficients, non-dimensional velocities and pressures, including their corresponding r.m.s. values, as well as various quantities related to the separation and vortex shedding characteristics are presented. A non-monotonous streamwise velocity recovery in the intermediate wake is observed for Re > 50, a phenomenon that has been grossly overlooked in the past. There are two plateaus along the wake centerline, in particular for Re=200. The first, which is the most distinct, ranges from about x=9 to x=16 at a wake deficit velocity of 0.38, x being counted in diameters behind the cylinder axis; the second one appears from x=25 to x=28 at a wake deficit velocity of 0.54. This phenomenon seems to be related to an associated change-over in the orientation of the von Karman vortices and the merging trends, especially for Re=200 beyond x=25, as observed from instantaneous vorticity fields. Three-dimensional simulations using spanwise lengths of 10 and 12 (diameters) were carried out at Re=200. After a long initial phase with regular three-dimensional mode A flow features increasing very slowly in amplitude, the flow went into a state with distinct pulsating forces acting on the cylinder, the pulsations being seemingly randomly localized across the cylinder span. In this second, much more chaotic, flow state, the time-averaged results were in agreement with previous experiments and with parts of previous numerical studies. (C) 2013 Elsevier Ltd. All rights reserved.}},
  author       = {{Qu, Lixia and Norberg, Christoffer and Davidson, Lars and Peng, Shia-Hui and Wang, Fujun}},
  issn         = {{1095-8622}},
  keywords     = {{Circular cylinder; Incompressible flow; Numerical simulation; Low; Reynolds number; Vortex shedding}},
  language     = {{eng}},
  pages        = {{347--370}},
  publisher    = {{Elsevier}},
  series       = {{Journal of Fluids and Structures}},
  title        = {{Quantitative numerical analysis of flow past a circular cylinder at Reynolds number between 50 and 200}},
  url          = {{http://dx.doi.org/10.1016/j.jfluidstructs.2013.02.007}},
  doi          = {{10.1016/j.jfluidstructs.2013.02.007}},
  volume       = {{39}},
  year         = {{2013}},
}