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.

References

1.
Sagaut
,
P.
, 2006,
Large Eddy Simulation for Incompressible Flows
, 3rd ed.,
Springer
,
Berlin
.
2.
Fureby
,
C.
,
Tabor
,
G.
,
Weller
,
H. G.
, and
Gosman
,
D.
, 2000, “
Large Eddy Simulation of the Flow Around a Square Prism
,”
AIAA J.
,
38
(
3
), pp.
442
452
.
3.
Svennberg
,
U.
, and
Fureby
,
C.
, 2003, “
LES Computation of the Flow over a Smoothly Contoured Ramp
,”
41st AIAA Aerospace Sciences Meeting and Exhibit
, Reno, Nevada, Jan. 6–9, AIAA-2003-965.
4.
Persson
,
T.
,
Liefevendahl
,
M.
,
Bensow
,
R. E.
, and
Fureby
,
C.
, 2006, “
Numerical Investigation of the Flow over an Axisymmetric Hill Using LES, DES, and RANS
,”
J. Turbul.
,
7
(
4
), pp.
1
17
.
5.
Cetiner
,
O.
, 1998, “
Flow Structure and Loading Due to an Oscillating Cylinder in a Steady Current
,” Ph.D. dissertation, Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA, 1998.
6.
Cetiner
,
O.
, and
Rockwell
,
D.
, 2001, “
Streamwise Oscillations of a Cylinder in a Steady Current. Part 1: Locked-on States of Vortex Formation and Loading
,”
J. Fluid Mech.
,
427
, pp.
1
28
.
7.
Cetiner
,
O.
, and
Rockwell
,
D.
, 2001, “
Streamwise Oscillations of a Cylinder in a Steady Current. Part 2: Free-Surface Effects on Vortex Formation and Loading
,”
J. Fluid Mech.
,
427
, pp.
29
59
.
8.
Ongoren
,
A.
, and
Rockwell
,
D.
, 1988, “
Flow Structure from an Oscillating Cylinder. Part 2: Mode Competition in the Near Wake
,”
J. Fluid Mechanics
,
191
, pp.
225
245
.
9.
Williamson
,
C. H. K.
, and
Roshko
,
A.
, 1988, “
Vortex Formation in the Wake of an Oscillating Cylinder
,”
J. Fluids Struct.
,
2
(
4
), pp.
355
381
.
10.
Liefvendahl
,
M.
, and
Lillberg
,
E.
, 2005, “
Computational Methods for Unsteady Fluid Force Predictions Using Moving Mesh Large Eddy Simulations
,”
43rd AIAA Aerospace Sciences Meeting and Exhibit
, Reno, Nevada, Jan. 10–13, AIAA-2005-4144.
11.
Lu
,
X. Y.
, and
Dalton
,
C.
, 1996, “
Calculation of the Timing of Vortex Formation from an Oscillating Cylinder
,”
J. Fluids Struct.
,
10
(
5
), pp.
527
541
.
12.
Saritas
,
M.
, and
Cetiner
,
O.
, 2003, “
Flow Structure and Loading Due to an Oscillating Cylinder in Steady Current
,”
Proceedings of the 7th International Symposium on Fluid Control, Measurement and Visualization
,” Sorrento, Italy, Aug. 25–28.
13.
Feymark
,
A.
,
Alin
,
N.
,
Bensow
,
R. E.
, and
Fureby
,
C.
, 2010, “
LES of an Oscillating Cylinder in a Steady Flow
,”
48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition
, Orlando, Florida, Jan. 4–7, AIAA 2010-560.
14.
Pope
,
S. B.
, 2000,
Turbulent Flows
,
Cambridge University Press
,
Cambridge, UK
.
15.
Grinstein
,
F. F.
,
Margolin
,
L.
, and
Rider
,
B.
, 2007,
Implicit Large Eddy Simulation: Computing Turbulent Fluid Dynamics
, 1st ed.,
Cambridge University Press
,
Cambridge, UK
.
16.
Lesieur
,
M.
, and
Metais
,
O.
, 1996, “
New Trends in Large Eddy Simulations of Turbulence
,”
Annu. Rev. Fluid Mech.
,
28
, pp.
45
82
.
17.
Fureby
,
C.
, 2008, “
Towards the Use of Large Eddy Simulation in Engineering
,”
Prog. Aerosp. Sci.
,
44
(
6
), pp.
381
396
.
18.
Wilcox
,
D. C.
, 2006,
Turbulence Modelling for CFD
, 3rd ed.,
DCW Industries
,
La Cañada, CA
.
19.
Smagorinsky
,
J.
, 1963, “
General Circulation Experiments With the Primitive Equations I. The Basic Experiment
,”
Mon. Weather Rev.
,
91
(
3
), pp.
99
164
.
20.
Germano
,
M.
,
Piomelli
,
U.
,
Moin
,
P.
, and
Cabot
,
H. W.
, 1991, “
A Dynamic Subgrid-Scale Eddy Viscosity Model
,”
Phys. Fluids
,
3
(
7
), pp.
1760
1765
.
21.
Metais
,
O.
, and
Lesieur
,
M.
, 1992, “
Spectral Large Eddy Simulation of Isotropic and Stably Stratified Turbulence
,”
J. Fluid Mech.
,
239
, pp.
157
194
.
22.
Schumann
,
U.
, 1975, “
Subgrid Scale Model for Finite Difference Simulation of Turbulent Flows in Plane Channels and Annuli
,”
J. Comput. Phys.
,
18
(
4
), pp.
376
404
.
23.
Menon
,
S.
, and
Kim
,
W.-W.
, 1996, “
High Reynolds Number Flow Simulations Using the Localized Dynamic Subgrid-Scale Model
,”
34th AIAA Aerospace Sciences Meeting and Exhibit
, Reno, Nevada, Jan. 15–18, AIAA-1996-425.
24.
Lilly
,
D. K.
, 1992, “
A Proposed Modification of the Germano Subgrid-Scale Closure Method
,”
Phys. Fluids
,
4
(
3
), pp.
633
635
.
25.
Fureby
,
C.
, and
Grinstein
,
F. F.
, 2002, “
Large Eddy Simulation of High-Reynolds-Number Free and Wall-Bounded Flows
,”
J. Comput. Phys.
,
181
(
1
), pp.
68
97
.
26.
Hirt
,
C. W.
, 1968, “
Heuristic Stability Theory for Finite-Difference Equations
,”
J. Computat. Phys.
,
2
(
4
), pp.
339
355
.
27.
Boris
,
J. P.
,
Grinstein
,
F. F.
,
Oran
,
E. S.
, and
Kolbe
,
R. L.
, 1992, “
New Insights into Large Eddy Simulation
,”
Fluid Dyn. Res.
,
10
(
4–6
), pp.
199
228
.
28.
Clark
,
R. A.
,
Ferziger
,
J. H.
, and
Reynolds
,
W. C.
, 1979, “
Evaluation of Subgrid-Scale Models Using an Accurately Simulated Turbulent Flow
,”
J. Fluid Mech.
,
91
(
1
), pp.
1
16
.
29.
Fureby
,
C.
, 2007, “
On LES and DES of Wall Bounded Flows
,”
Ercoftac Bull.
,
72
.
30.
Weller
,
H. G.
,
Tabor
,
G.
,
Jasak
,
H.
, and
Fureby
,
C.
, 1998, “
A Tensorial Approach to Computational Continuum Mechanics Using Object Oriented Techniques
,”
Comput. Phys.
,
12
(
6
), pp.
620
631
.
31.
Lambert
,
J. D.
, 1973,
Computational Methods in Ordinary Differential Equations
, 1st ed.,
John Wiley & Sons
,
New York
.
32.
Rhie
,
C. M.
, and
Chow
,
W. L.
, 1983, “
Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation
,”
AIAA J.
,
21
(
11
), pp.
1525
1532
.
33.
Demirdzic
,
I.
, and
Peric
,
M.
, 1988, “
Space Conservation Law in Finite Volume Calculations of Fluid Flow
,”
Int. J. Numer. Methods Fluids
,
8
(
9
), pp.
1037
1050
.
34.
Lourenco
,
L.
, and
Shih
,
C.
, 1993, “Characteristics of the Plane Turbulent Near, Wake of a Circular Cylinder. A Particle Image Velocimetry Study,” Private communication by Beaudan, P. and Moin, P.
35.
Ma
,
X.
,
Karamons
,
G.-S.
, and
Karniadakis
,
G. E.
, 2000, “
Dynamics and Low-Dimensionality of a Turbulent Near Wake
,”
J. Fluid Mech.
,
410
, pp.
29
65
.
36.
Ong
,
L.
, and
Wallace
,
J.
, 1996, “
The Velocity Field of the Turbulent Very Near Wake of a Circular Cylinder
,”
Exp. Fluids
,
20
(
6
), pp.
441
453
.
37.
Tremblay
,
F.
, 2001, “
Direct and Large-Eddy Simulation of Flow around a Circular Cylinder at Subcritical Reynolds Number
,” Ph.D. dissertation, Fachgebiet Strömungsmechanik, Technische Univerität München, Munich, Germany.
You do not currently have access to this content.