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Fundamental Issues and Canonical Flows

Numerical Simulation of an Oscillating Cylinder Using Large Eddy Simulation and Implicit Large Eddy Simulation

[+] Author and Article Information
A. Feymark

Shipping and Marine Technology,  Chalmers University of Technology, 412 96 Gothenburg, Swedenandreas.feymark@chalmers.se

N. Alin

 Shipping and Marine Technology, Chalmers University of Technology, 412 96 Gothenburg, Sweden;niklas.alin@foi.se The Swedish Defense Research Agency – FOI, 147 25 Tumba, Swedenniklas.alin@foi.se

R. Bensow

 Shipping and Marine Technology, Chalmers University of Technology, 412 96 Gothenburg, Swedenrickard.bensow@chalmers.se

C. Fureby

 Shipping and Marine Technology, Chalmers University of Technology, 412 96 Gothenburg, Sweden;fureby@foi.se The Swedish Defense Research Agency – FOI, 147 25 Tumba, Swedenfureby@foi.se

J. Fluids Eng 134(3), 031205 (Mar 23, 2012) (10 pages) doi:10.1115/1.4005766 History: Received April 14, 2011; Revised January 09, 2012; Published March 20, 2012; Online March 23, 2012

In this work, we use large eddy simulation (LES) to study the influence of grid and subgrid model on the lift and drag force predictions of a fixed cylinder undergoing streamwise sinusoidal oscillations in a steady flow, resulting in a varying Reynolds number, Re, within the range 405 ≤ Re ≤ 2482. This benchmark case is a first step toward studying engineering applications related to flow-induced vibrations. We examine the influence of both grid resolution and the subgrid model using implicit and explicit LES. The methodology used, LES based on a finite-volume method capable of handling moving meshes, are found to provide force predictions that agree well with experimentally measured data, with respect both to the overall flow development and force magnitude.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

Perspective view of the flow past a fixed cylinder in a steady flow at Re = 3900 in terms of iso-surfaces of the second invariant of the velocity gradient. In (a) case 1.1, grid A: 0.6M cells, and in (b) case 1.3, grid C: 5.1M cells.

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Figure 2

Validation for fixed cylinder at Re = 3900. In (a) the mean velocity along centerline y = 0 is shown, vertical solid lines indicate, x/D = 1.06, 1.54, 2.02, and 4. In (b) streamwise velocity profiles, and in (c) axial velocity rms fluctuations are given at x/D = 1.06, 1.54, 2.02, and 4, bottom to top. In (d), the pressure coefficient on the cylinder surface is shown, φ is the horizontal angle starting at the stagnation point. Note that for Cp there are no experimental data available.

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Figure 3

Experimental setup used by Cetiner [5]. Published with the permission of the author.

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Figure 4

Time sequence, with Cy on the y axis and time t on the x axis, Cetiner [5]. Published with the permission of the author.

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Figure 5

Example of Lissajous curves emphasizing the sensitivity of these graphs to fe . (a) fe  =  100/360 Hz, and (b) fe  =  99.9/360 Hz. Experimental data provided by Cetiner [5].

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Figure 6

Iso-surface of the second invariant of the velocity gradient together with schematic pictures for Case 2.4 at five instants during one characteristic cylinder cycle, (a) to (e), and in (f) a time series of the normalized displacement of the cylinder, xc , the drag and lift forces, Cx and Cy . In all panels is the oscillation period T =  1/fe .

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Figure 7

Lissajous curves of the drag force (a), lift force (b), and drag force versus lift forces (c), for the grids A, B, and C. Experimental results shown in black. Legend: (solid line) experimental data, (solid line) ILES + WM on grid A, (long dashed line ILES + WM on grid B, and (short dashed line) ILES + WM on grid C.

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Figure 8

Mean lift force versus time (a), and mean drag force versus time (b), for ILES on grid A, B, and C together with experimental results. Legend: (solid line) experimental data, (solid line) ILES + WM on grid A, (long dashed line) ILES + WM on grid B, and (short dashed line) ILES + WM on grid C.

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Figure 9

Modulus of the fast Fourier transform (FFT) of the lift force versus normalized frequency for ILES + WM on three different grids together with experimental results. Legend: (solid line) experimental data, (solid line) ILES + WM on grid A, (long dashed line) ILES + WM on grid B, and (short dashed line) ILES+WM on grid C.

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Figure 10

The four signals f0.5 , f1.5 , f2.5 , and f3.5 together with their total sum for ILES on grid C together with experimental results. Legend: (solid line) experimental data, and (dashed line) ILES + WM on grid C.

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Figure 11

Lissajous curves of the drag force (a), and lift force (b), for ILES + WM, OEEVM + WM, and LDKM + WM. Legend: (solid line) experimental data, (gray dashed line) ILES + WM on grid B, (dashed line) OEEVM + WM on grid B, and (gray dashed line) LDKM + WM on grid C.

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Figure 12

Mean lift force versus time (a), and mean drag force versus time (b). Legend: (solid line) experimental data, (gray dashed line) ILES + WM on grid B, (dashed line) OEEVM + WM on grid B, and (gray dashed line) LDKM + WM on grid C.

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Figure 13

Modulus of the FFT of the lift force versus normalized frequency for ILES + WM, OEEVM + WM, and LDKM on grid B together with experimental results. Legend: (solid line) experimental data, (gray dashed line) ILES + WM on grid B, (dashed line) OEEVM + WM on grid B, and (gray dashed line) LDKM + WM on grid C.

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