Mean flow predictions obtained from a host of turbulence models were found to be in poor agreement with recent direct numerical simulation results for turbulent flow distal to an idealized eccentric stenosis. Many of the widely used turbulence models, including a large eddy simulation model, were unable to accurately capture the poststenotic transition to turbulence. The results suggest that efforts toward developing more accurate turbulence models for low-Reynolds number, separated transitional flows are necessary before such models can be used confidently under hemodynamic conditions where turbulence may develop.

1.
Ku
,
D. N.
, 1997, “
Blood Flow in Arteries
,”
Annu. Rev. Fluid Mech.
0066-4189,
29
, pp.
399
434
.
2.
Wootton
,
D. M.
, and
Ku
,
D. N.
, 1999, “
Fluid Mechanics of Vascular Systems, Diseases, and Thrombosis
,”
Annu. Rev. Biomed. Eng.
1523-9829,
1
, pp.
299
329
.
3.
Berger
,
S. A.
, and
Jou
,
L.-D.
, 2000, “
Flows in Stenotic Vessels
,”
Annu. Rev. Fluid Mech.
0066-4189,
32
, pp.
347
382
.
4.
Nerem
,
R. M.
, 1992, “
Vascular Fluid Mechanics, The Arterial Wall, and Atherosclerosis
,”
ASME J. Biomech. Eng.
0148-0731,
114
, pp.
274
282
.
5.
Libby
,
P.
, “
Inflammation in Atherosclerosis
,”
Nature (London)
0028-0836,
420
, pp.
868
874
.
6.
Tarbell
,
J. M.
, 2003, “
Mass Transport in Arteries and the Localization of Atherosclerosis
,”
Annu. Rev. Biomed. Eng.
1523-9829,
5
, pp.
79
118
.
7.
Tang
,
D.
,
Yang
,
J.
,
Yang
,
C.
, and
Ku
,
D. N.
, 1999, “
A Nonlinear Axisymmetric Model With Fluid-Wall Interactions for Steady Viscous Flow in Stenotic Elastic Tubes
,”
ASME J. Biomech. Eng.
0148-0731,
121
, pp.
494
501
.
8.
Bathe
,
M.
, and
Kamm
,
R. D.
, 1999, “
A Fluid-Structure Interaction Finite Element Analysis of Pulsatile Blood Flow Through a Compliant Stenotic Artery
,”
ASME J. Biomech. Eng.
0148-0731,
121
, pp.
361
369
.
9.
Buchanan
,
J. R.
, Jr.
,
Kleinstreuer
,
C.
, and
Comer
,
J. K.
, 2000, “
Rheological Effects on Pulsatile Hemodynamics in a Stenosed Tube
,”
Comput. Fluids
0045-7930,
29
, pp.
695
724
.
10.
Stroud
,
J. S.
,
Berger
,
S. A.
, and
Saloner
,
D.
, 2000, “
Influence of Stenosis Morphology on Flow Through Severely Stenotic Vessels: Implications for Plaque Rupture
,”
J. Biomech.
0021-9290,
33
, pp.
443
455
.
11.
Mallinger
,
F.
, and
Drikakis
,
D.
, 2002, “
Instability in Three-Dimensional Unsteady Stenotic Flows
,”
Int. J. Heat Fluid Flow
0142-727X,
23
, pp.
657
663
.
12.
Mittal
,
R.
,
Simmons
,
S. P.
, and
Najjar
,
F.
, 2003, “
Numerical Study of Pulsatile Flow in a Constricted Channel
,”
J. Fluid Mech.
0022-1120,
485
, pp.
337
378
.
13.
Sherwin
,
S. J.
, and
Blackburn
,
H. M.
, 2005, “
Three-Dimensional Instabilities and Transition of Steady and Pulsatile Axisymmetric Stenotic Flows
,”
J. Fluid Mech.
0022-1120,
533
, pp.
297
327
.
14.
Ahmed
,
S. A.
, and
Giddens
,
D. P.
, 1983, “
Velocity Measurements in Steady Flow Through Axisymmetric Stenoses at Moderate Reynolds Number
,”
J. Biomech.
0021-9290,
16
, pp.
505
516
.
15.
Ahmed
,
S. A.
, and
Giddens
,
D. P.
, 1983, “
Flow Disturbance Measurements Through a Constricted Tube at Moderate Reynolds Numbers
,”
J. Biomech.
0021-9290,
16
, pp.
955
963
.
16.
Ahmed
,
S. A.
, and
Giddens
,
D. P.
, 1984, “
Pulsatile Poststenotic Flow Studies With Laser Doppler Anemometry
,”
J. Biomech.
0021-9290,
17
, pp.
695
705
.
17.
Varghese
,
S. S.
,
Frankel
,
S. H.
, and
Fischer
,
P. F.
, 2006, “
Direct Numerical Simulation of Stenotic Flows, Part 1: Steady Flow
,”
J. Fluid Mech.
0022-1120, in press.
18.
Varghese
,
S. S.
,
Frankel
,
S. H.
, and
Fischer
,
P. F.
, 2006, “
Direct Numerical Simulation of Stenotic Flows, Part 2: Pulsatile Flow
,”
J. Fluid Mech.
0022-1120, in press.
19.
Hanjalić
,
K.
, 1994, “
Advanced Turbulence Closure Models: A View of Current Status and Future Prospects
,”
Int. J. Heat Fluid Flow
0142-727X,
15
, pp.
178
203
.
20.
Varghese
,
S. S.
, and
Frankel
,
S. H.
, 2003, “
Numerical Modeling of Pulsatile Turbulent Flow in Stenotic Vessels
,”
ASME J. Biomech. Eng.
0148-0731,
125
, pp.
445
460
.
21.
Ryval
,
J.
,
Straatman
,
A. G.
, and
Steinman
,
D. A.
, 2004, “
Two-Equation Turbulence Modeling of Pulsatile Flow in a Stenosed Tube
,”
ASME J. Biomech. Eng.
0148-0731,
126
, pp.
625
635
.
22.
Wilcox
,
D. C.
, 1993,
Turbulence Modeling for CFD
,
DCW Industries
,
La Cañada, CA
.
23.
FLUENT Manual, Ver 6.2.
24.
Smith
,
L. M.
, and
Reynolds
,
W. C.
, 1992, “
On the Yakhot–Orszag Renormalization Group Method for Deriving Turbulence Statistics and Models
,”
Phys. Fluids A
0899-8213,
4
, pp.
364
390
.
25.
Yakhot
,
V.
, and
Orszag
,
S. A.
, 1986, “
Renormalization Group Analysis of Turbulence
,”
J. Sci. Comput.
0885-7474,
1
, pp.
1
51
.
26.
Yakhot
,
V.
, and
Smith
,
L. M.
, 1992, “
The Renormalization Group, the ϵ—Expansion and Derivation of Turbulence Models
,”
J. Sci. Comput.
0885-7474,
7
, pp.
35
61
.
27.
Menter
,
F. R.
, 1994, “
Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications
,”
AIAA J.
0001-1452,
32
, pp.
1598
1605
.
28.
Germano
,
M.
,
Piomelli
,
U.
,
Moin
,
P.
, and
Cabot
,
W. H.
, 1991, “
A Dynamic Subgrid-Scale Eddy Viscosity Model
,”
Phys. Fluids A
0899-8213,
3
, pp.
1760
1765
.
29.
Piomelli
,
U.
, 1999, “
Large-Eddy Simulation: Achievements and Challenges
,”
Prog. Aerosp. Sci.
0376-0421,
35
, pp.
335
362
.
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