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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
organization
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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
2013-07-15 13:33:17
date last changed
2019-10-08 01:09:54
@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},
  keyword      = {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},
  volume       = {39},
  year         = {2013},
}