Turbulence modeling techniques are compared for the simulation of low speed indoor air flow in a simple room. The effect of inlet turbulence intensity on the flow field is investigated using the constant coefficient large eddy simulation (LES) model with uniform mean inlet conditions at several levels of inlet turbulence intensities. The results show significant differences between the simulations with laminar inflow conditions and those in which turbulence was introduced at the inlet. For simulations with turbulent inlet conditions, it is noticed that the jet transitions to a state of fully developed turbulence wherein the dynamics of the flow become nearly insensitive to any further increase in the level of inlet turbulence. For laminar flow conditions, it is seen that the jet slowly spreads and mixes with the quiescent room air. As a result, the jet reaches a fully developed turbulent state further away from the inlet relative to the simulations with inlet turbulence. The effect of using experimental inlet profiles is also investigated. It is seen that, close to the inlet, the flow is sensitive to the inflow details, whereas further away from the inlet, these effects become less pronounced. The results from the constant coefficient and the dynamic LES models are compared. The most noticeable differences in the flow occur at the locations where the subgrid-scale’s contribution to the turbulent kinetic energy is highest. Finally, the results from the dynamic LES and the k-ϵ models are compared. It is found that there are significant differences between the two models for the zero inlet turbulence limit where the flow is most probably transitional in nature and turbulence has not yet reached a fully developed state. It is seen that in the laminar inflow case the k-ϵ model predicts a fully turbulent jet very close to the inlet and thus fails to capture the slow development of the jet found in LES. Accordingly, the k-ϵ model results are nearly insensitive to the level of inlet turbulence especially far from the origin of the flow. It is also seen that for cases with nonzero inlet turbulence level, the k-ϵ model predicts the general features of the mean flow reasonably well; however, the k-ϵ model overpredicts the jet spreading rate and the turbulent kinetic energy close to the inlet. Furthermore, the k-ϵ model under predicts the turbulence level near the corner of the ceiling as it fails to capture the complicated mean velocity and turbulent kinetic energy, most likely because of the highly intermittent flow pattern found there in LES.

1.
Spengler
,
J. J.
,
Samuel
,
J. M.
, and
McCarthy
,
J. F.
, 2001,
Indoor Air Quality Handbook
,
McGraw-Hill
,
New York
.
2.
Pope
,
S. B.
, 2000,
Turbulent Flows
,
Cambridge University Press
,
Cambridge
.
3.
Wilcox
,
D. C.
, 2004,
Turbulence Modeling for CFD
,
DCW Industries, Inc.
,
La Canada, CA
.
4.
Smagorinsky
,
J.
, 1963, “
General Circulation Experiments With the Primitive Equations: I. The Basic Equations
,”
Mon. Weather Rev.
0027-0644,
91
, pp.
99
164
.
5.
Lilly
,
D. K.
, 1967, “
The Representation of Small-Scale Turbulence in Numerical Simulation Experiments
,”
Proceedings of the IBM Scientific Computing Symposium on Environmental Sciences
, IBM Form 320-1951, pp.
195
210
.
6.
Deardorff
,
J. W.
, 1974, “
Three-Dimensional Numerical Study of the Height and Mean Structure of a Heated Planetary Boundary Layer
,”
Boundary-Layer Meteorol.
0006-8314,
7
, pp.
81
106
.
7.
Schumann
,
U.
, 1975, “
Subgrid-Scale Model for Finite Difference Simulations of Turbulent Flows in Plane Channels and Annuli
,”
J. Comput. Phys.
0021-9991,
18
, pp.
376
404
.
8.
Pope
,
S. B.
, 2004, “
Ten Questions Concerning the Large-Eddy Simulation of Turbulent Flows
,”
New J. Phys.
1367-2630,
6
(
35
), pp.
1
24
.
9.
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
.
10.
Lilly
,
D. K.
, 1992, “
A Proposed Modification of the Germano Subgrid-Scale Closure Method
,”
Phys. Fluids A
0899-8213,
4
, pp.
633
635
.
11.
Meneveau
,
C.
,
Lund
,
T. S.
, and
Cabot
,
W. H.
, 1996, “
A Lagrangian Dynamic Subgrid-Scale Model of Turbulence
,”
J. Fluid Mech.
0022-1120,
319
, pp.
353
385
.
12.
Nielson
,
P. V.
,
Restive
,
A.
, and
Whitelaw
,
J. H.
, 1978, “
The Velocity Characteristics of Ventilated Room
,”
ASME J. Fluids Eng.
0098-2202,
100
(
9
), pp.
291
298
.
13.
Murakami
,
S.
,
Kato
,
S.
, and
Suyama
,
Y.
, 1992, “
Three Dimensional Numerical Simulation of Turbulent Airflow in a Ventilated Room by Means of a Two-Equation Model
,”
ASHRAE Trans.
0001-2505,
98
(
1
), pp.
82
97
.
14.
Chen
,
Q.
, 1995, “
Comparison of Different k-ϵ Models for Indoor Airflow Computations
,”
Numer. Heat Transfer, Part B
1040-7790,
28
, pp.
353
369
.
15.
Nielson
,
P. V.
, 1998, “
Selection of Turbulence Models for Prediction of Room Airflow
,”
ASHRAE Trans.
0001-2505,
104
, pp.
1119
1127
.
16.
Chen
,
Q.
, and
Jiang
,
Z.
, 1992, “
Significant Questions in Predicting Room Air Motion
,”
ASHRAE Trans.
0001-2505,
98
(
1
), pp.
929
939
.
17.
Davidson
,
L.
, and
Nielson
,
P. V.
, 1996, “
Large Eddy Simulations of the Flow in Three-Dimensional Ventilated Room
,”
Proceedings of the Fifth International Conference on Air Distribution in Rooms
, Yokohama, Japan, pp.
161
168
.
18.
Zhang
,
W.
, and
Chen
,
Q.
, 2000, “
Large Eddy Simulation of Indoor Airflow With a Filtered Dynamic Subgrid Scale Model
,”
Int. J. Heat Mass Transfer
0017-9310,
43
, pp.
3219
3231
.
19.
Jiang
,
Y.
, and
Chen
,
Q.
, 2003, “
Using Large Eddy Simulation to Study Airflows in and Around Buildings
,”
ASHRAE Trans.
0001-2505,
109
(
2
), pp.
517
526
.
20.
Zhang
,
W.
, and
Chen
,
Q.
, 2000, “
Large Eddy Simulation of Natural and Mixed Convection Airflow Indoors With Two Simple Filtered Dynamic Subgrid Scale Models
,”
Numer. Heat Transfer, Part A
1040-7782,
37
(
5
), pp.
447
463
.
21.
Shah
,
K. B.
, and
Ferziger
,
J. H.
, 1995, “
A New Non-Eddy Viscosity Sub-Grid-Scale Model and Its Application to Channel Flow
,”
Annual Research Briefs
,
Center for Turbulence Research
,
Stanford, CA
.
22.
Zhai
,
Z.
,
Zhang
,
Z.
,
Zhang
,
W.
, and
Chen
,
Q.
, 2007, “
Evaluation of Various Turbulence Models in Predicting Airflow and Turbulence in Enclosed Environments by CFD—Part 1: Summary of Prevalent Turbulence Models
,”
HVAC&R Res.
1078-9669,
13
(
6
), pp.
853
870
.
23.
Zhang
,
Z.
,
Zhang
,
W.
,
Zhai
,
Z.
, and
Chen
,
Q.
, 2007, “
Evaluation of Various Turbulence Models in Predicting Airflow and Turbulence in Enclosed Environments by CFD—Part 2: Comparison With Experimental Data From the Literature
,”
HVAC&R Res.
1078-9669,
13
(
6
), pp.
871
886
.
24.
Davidson
,
L.
,
Nielsen
,
P.
, and
Sveningsson
,
A.
, 2003, “
Modification of the v2f Model for Computing the Flow in a 3D Wall Jet
,”
Turbulence Heat and Mass Transfer
,
K.
Hanjalic
,
Y.
Nagano
, and
M. J.
Tummers
, eds.,
Begell House, Inc.
,
New York, Wallingford, UK
, Vol.
213
, pp.
65
72
.
25.
Yakhot
,
V.
, and
Orszag
,
S. A.
, 1986, “
Renormalization Group Analysis of Turbulence
,”
J. Sci. Comput.
0885-7474,
1
, pp.
3
51
.
26.
Launder
,
B. E.
, and
Sharma
,
B. I.
, 1974, “
Application of the Energy Dissipation Model of Turbulence to Calculation of Flow Near a Spinning Disk
,”
Lett. Heat Mass Transfer
0094-4548,
1
, pp.
131
138
.
27.
Durbin
,
P. A.
, 1995, “
Separated Flow Computations With the k-ϵ-v2 Model
,”
AIAA J.
0001-1452,
33
, pp.
659
664
.
28.
Chen
,
Q.
, and
Srebric
,
J.
, 2002, “
A Procedure for Verification, Validation, and Reporting of Indoor Environment CFD Analyses
,”
HVAC&R Res.
,
8
(
2
), pp.
201
216
. 0001-1452
29.
Chen
,
Q.
, and
Zhai
,
Z.
, 2004, “
The Use of CFD Tools for Indoor Environmental Design
,”
Advanced Building Simulation
,
A.
Malkawi
and
G.
Augenbroe
, eds.,
Spon
,
New York
, pp.
119
140
.
30.
Fluent Inc.
, 2006, FLUENT User’s Guide, NH, Lebanon.
31.
Launder
,
B. E.
, and
Spalding
,
D. B.
, 1972,
Lectures in Mathematical Models of Turbulence
,
Academic
,
New York
.
32.
Wolfshtein
,
M.
, 1969, “
The Velocity and Temperature Distribution of One-Dimensional Flow With Turbulence Augmentation and Pressure Gradient
,”
Int. J. Heat Mass Transfer
0017-9310,
12
, pp.
301
318
.
33.
Kader
,
B.
, 1981, “
Temperature and Concentration Profiles in Fully Turbulent Boundary Layers
,”
Int. J. Heat Mass Transfer
0017-9310,
24
(
9
), pp.
1541
1544
.
34.
Germano
,
M.
, 1992, “
Turbulence: The Filtering Approach
,”
J. Fluid Mech.
0022-1120,
286
, pp.
229
255
.
35.
Marr
,
D.
, 2007, “
Velocity Measurements in the Breathing Zone of a Moving Thermal Manikin Within the Indoor Environment
,” Ph.D. thesis, Syracuse University, Syracuse.
36.
Friedrich
,
R.
, and
Arnal
,
M.
, 1990, “
Analysing Turbulent Backward-Facing Step Flow With the Lowpass-Filtered Navier–Stokes Equations
,”
J. Wind. Eng. Ind. Aerodyn.
0167-6105,
35
, pp.
101
128
.
37.
Le
,
H.
,
Moin
,
P.
, and
Kim
,
J.
, 1997, “
Direct Numerical Simulation of Turbulent Flow Over a Backward-Facing Step
,”
J. Fluid Mech.
0022-1120,
330
, pp.
349
374
.
38.
Mathey
,
F.
,
Cokljat
,
D.
,
Bertoglio
,
J. P.
, and
Sergent
,
E.
, 2006, “
Assessment of the Vortex Method for Larged Eddy Simulation Inlet Conditions
,”
Prog. Comput. Fluid Dyn.
1468-4349,
6
, pp.
58
67
.
39.
Lee
,
S.
,
Lele
,
S.
, and
Moin
,
P.
, 1992, “
Simulation of Spatially Evolving Turbulence and the Applicability of Taylor’s Hypothesis in Compressible Flow
,”
Phys. Fluids A
0899-8213,
4
, pp.
1521
1530
.
40.
Smirnov
,
A.
,
Shi
,
S.
, and
Celik
,
I.
, 2001, “
Random Flow Generation Technique for Large Eddy Simulation and Particle Dynamics Modeling
,”
ASME J. Fluids Eng.
0098-2202,
123
, pp.
359
371
.
41.
Mathey
,
F.
,
Cokljat
,
D.
,
Bertoglio
,
J. P.
, and
Sergent
,
E.
, 2003, “
Specification of LES Inlet Boundary Condition Using Vortex Method
,”
Fourth International Symposium on Turbulence, Heat and Mass Transfer
,
K.
Hanjalić
,
Y.
Nagano
, and
M.
Tummers
, eds.,
Begell House, Inc.
,
Antalya, Turkey
.
42.
Loomans
,
M.
, 1998, “
The Measurement and Simulation of Indoor Air Flow
,” Ph.D. thesis, Eindhoven University of Technology, Eindhoven, The Netherlands.
43.
Joubert
,
P.
,
Sandu
,
A.
,
Beghein
,
C.
, and
Allard
,
F.
, 1996, “
Numerical Study of the Influence of Inlet Boundary Conditions on the Air Movement in a Ventilated Enclosure
,”
Proceedings of the Roomvent
, Yokohama, Japan, Vol.
1
, pp.
235
242
.
44.
Jiang
,
J.
, 2007, “
Experimental and Numerical Study of Air Flows in a Full-Scale Room
,” Ph.D. thesis, University of Illinois at Urbana-Champaign, Urbana.
45.
Marr
,
D.
, 2007, private communication.
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