In many technical fields, for example, in heat exchanger design, circular cylinders are involved in fluid structure interaction problems. Therefore, correct fluid forces are needed. Direct numerical simulation or large eddy simulation are too time expensive, but great errors can occur if fluid forces are evaluated with mainstream statistical turbulence models. In this paper, several models are applied to flow around a circular cylinder in the Reynolds number range from 500 up to $106$. Mainly 2D simulations are performed. Additionally, calculations are performed to evaluate the influence of three dimensional modeling. The incorrect prediction of laminar to turbulent transition is identified as the main reason for the misprediction of flow forces with common statistical turbulence models. It is demonstrated that improvements are possible with available transition models. Although no grid independence in spatial direction could be achieved, the results indicate that 3D calculations may abolish remaining deviations between calculated and measured force coefficients. (Most of the data contained within this paper have been presented at the 2005 ASME PVPD Conference in Denver, Colorado. Although the title of the paper has not been changed, some newer results have been added.)

1.
Reichel
,
C.
, and
Strohmeier
,
K.
, 2002, “
Calculation of Incompressible Flow Around a Circular Cylinder
,”
PVP (Am. Soc. Mech. Eng.)
0277-027X,
446
, pp.
43
50
.
2.
Reichel
,
C.
, and
Strohmeier
,
K.
, 2004, “
Richtlinien für die numerische Simulation von strömungsinduzierten Schwingungen in Rohrbündelwärmetauschern
” (“
Guidelines for the Numerical Simulation of Flow Induced Vibrations in Tube-Bundle Heat-Exchangers
”), Arbeitsgemeinschaft industrieller Forschung (AiF), Research Project AiF 12652 N/1 Final Report p.
25
.
3.
Reichel
,
C.
, 2006, “
Numerische Simulation fluidinduzierter Rohrbündelschwingungen
” (“
Numerical Simulation of Fluid Induced Tube-Bundle Vibrations
”), Ph.D. thesis, TU München, Germany (available at http://mediatum2.ub.tum.dehttp://mediatum2.ub.tum.de).
4.
Menter
,
F. R.
, 1994, “
Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications
,”
AIAA J.
0001-1452,
32
(
8
), pp.
269
289
.
5.
Wilcox
,
D. C.
, 1998,
Turbulence Modeling for CFD
,
2nd ed.
,
DCW Industries, Inc.
,
.
6.
Cantwell
,
B.
, and
Coles
,
D.
, 1983, “
An Experimental Study of Entrainment and Transport in the Turbulent Near Wake of a Circular Cylinder
,”
J. Fluid Mech.
0022-1120,
136
, pp.
321
374
.
7.
Chen
,
Y. N.
, 1973, “
60 Jahre Forschung über die Karmansche Wirbelstraße—Ein Rückblick
,”
Schweizerische Bauzeitung
,
91
(
44
), pp.
1079
1096
.
8.
Drescher
,
H.
, 1956, “
Messung der auf querangeströmte Zylinder ausgeübten zeitlich veränderten Drücke
,”
Zeitschrift für Flugwissenschaften
,
4
(
1/2
) pp.
17
21
.
9.
Jendrzejczyk
,
J. A.
, and
Chen
,
S. S.
, 1982, “
Fluid Forces Acting on Circular Cylinders in Liquid Cross Flow
,”
PVP (Am. Soc. Mech. Eng.)
0277-027X,
63
, pp.
31
44
.
10.
Lienhard
,
J. H.
, 1966, “
Synopsis of Lift, Drag and Vortex Frequency Data for Rigid Circular Cylinders
,” Washington State University, College of Engineering Research Division, Bulletin 300.
11.
Fischer
,
M.
,
Stolz
,
J.
, and
Strohmeier
,
K.
, 2001, “
Three-Dimensional Simulation of Tube Bundle Vibration Induced by Cross-Flow in Real Apparatus
,”
PVP (Am. Soc. Mech. Eng.)
0277-027X,
431
, pp.
339
347
.
12.
Emmons
,
H. W.
, 1951, “
The Laminar-Turbulent Transition in Boundary Layer-Part I
,”
J. Aeronaut. Sci.
0095-9812,
18
, pp.
490
498
.
13.
Mayle
,
R.
, 1991, “
The Role of Laminar-Turbulent Transition in Gas Turbine Engines
,”
ASME J. Turbomach.
0889-504X,
113
, pp.
509
537
.
14.
Abu-Ghannam
,
B. J.
, and
Shaw
,
R.
, 1980, “
Natural Transition of Boundary Layers: The Effects of Turbulence, Pressure Gradient and Flow History
,”
J. Knot Theory Ramif.
0218-2165,
22
, pp.
213
228
.
15.
Müller
,
M.
, 2000, “
Transitionsmodellierung zur Berechnung realer Strömungen in Turbomaschinen
,” (“
Transition Modeling for the Calculation of Real Flows in Turbomachinery
”) Ph.D. thesis, RWTH Aachen, Germany.
16.
Menter
,
F. R.
,
Langtry
,
R. B.
,
Likki
,
S. R.
,
Suzen
,
Y. B.
,
Huang
,
P. G.
, and
Völker
,
S.
, 2004, “
A Correlation-Based Transition Model Using Local Variables, Part I: Model Formulation
,”
Proceedings of ASME Turbo Expo 2004
,
Vienna
, June 14–17, ASME Paper No. GT2004–53452.
17.
West
,
G.
, and
Apelt
,
C.
, 1993, “
Measurements of Fluctuating Pressures and Forces on a Circular Cylinder in the Reynolds Number Range 104to2.5×105
,”
J. Fluids Struct.
0889-9746,
7
, pp.
227
244
.