Abstract

Anticipating that large eddy simulations will increasingly become the future engineering tool for research, development, and design, it is deemed necessary to formulate some quality assessment measures that can be used to judge the resolution of turbulent scales and the accuracy of predictions. In this context some new and refined measures are proposed and compared with those already published by the authors in the common literature. These measures involve (a) fraction of the total turbulent kinetic energy, (b) relative grid size with respect to Kolmogorov or Taylor scales, and (c) relative effective subgrid/numerical viscosity with respect to molecular viscosity. In addition, an attempt is made to segregate the contributions from numerical and modeling errors. Proposed measures are applied to various test cases and validated against fully resolved large eddy simulation and/or direct numerical simulation whenever possible.

Issue Section:
Flows in Complex Systems
Keywords:
computational fluid dynamics, mechanical engineering computing, turbulence, quality assessment measures, LES, modeling and numerical errors, LES quality
Topics:
Errors, Flow (Dynamics), Modeling, Reynolds number, Turbulence, Viscosity, Kinetic energy, Simulation, Resolution (Optics)
1.
Lund
,
T. S.
, 1997, “
On the Use of Discrete Filters for Large Eddy Simulation
,”
Center for Turbulence Research Annual Research Briefs
.
2.
Sagaut
,
P.
, 1998,
Large Eddy Simulation for Incompressible Flows
,
Springer
,
New York
.
3.
Geurts
,
B. J.
, and
Fröhlich
,
J.
, 2002, “
A Framework for Predicting Accuracy Limitations in Large-Eddy Simulation
,”
Phys. Fluids
1070-6631,
14
, pp.
L41
–
L44
.
4.
Meyers
,
J.
,
Geurts
,
B. J.
, and
Baelmans
,
M.
, 2003, “
Database Analysis of Errors in Large Eddy Simulation
,”
Phys. Fluids
1070-6631,
15
(
9
), pp.
2740
–
2755
.
5.
Vreman
,
B.
,
Geurts
,
B. J.
, and
Kuerten
,
H.
, 1996, “
Comparison of Numerical Schemes in Large Eddy Simulation of the Temporal Mixing Layer
,”
Int. J. Numer. Methods Fluids
0271-2091,
22
, pp.
297
–
311
.
6.
Klein
,
M.
, 2005, “
An Attempt to Assess the Quality of Large Eddy Simulations in the Context of Implicit Filtering
,”
Flow, Turbul. Combust.
1386-6184,
75
, pp.
131
–
147
.
7.
Freitag
,
M.
, and
Klein
,
M.
, 2006, “
An Improved Method to Assess the Quality of LES in the Context of Implicit Filtering
,”
J. Turbul.
1468-5248,
7
(
40
), pp.
1
–
11
.
8.
Celik
,
I.
,
Klein
,
M.
,
Freitag
,
M.
, and
Janicka
,
J.
, 2006, “
Assessment Measures for RANS/DES/LES: An Overview With Applications
,”
J. Turbul.
1468-5248,
7
(
48
), pp.
1
–
27
.
9.
Ghosal
,
S.
, 1996, “
An Analysis of Numerical Errors in Large-Eddy Simulations of Turbulence
,”
J. Comput. Phys.
0021-9991,
125
, pp.
187
–
206
.
10.
Chow
,
F. K.
, and
Moin
,
P.
, 2003, “
A Further Study of Numerical Errors in Large Eddy Simulation
,”
J. Comput. Phys.
0021-9991,
184
, pp.
366
–
380
.
11.
Vreman
,
B.
,
Geurts
,
B.
, and
Kuerten
,
H.
, 1997, “
Large-Eddy Simulation of the Turbulent Mixing Layer
,”
J. Fluid Mech.
0022-1120,
339
, pp.
357
–
390
.
12.
You
,
D.
,
Mittal
,
R.
,
Wang
,
M.
, and
Moin
,
P.
, 2006, “
Analysis of Stability and Accuracy of Finite-Difference Schemes on a Skewed Mesh
,”
J. Comput. Phys.
0021-9991,
213
, pp.
184
–
204
.
13.
Klein
,
M.
,
Sadiki
,
A.
, and
Janicka
,
J.
, 2005, “
Investigation of the Influence of the Reynolds Number on a Plane Jet Using Direct Numerical Simulation
,”
Int. J. Heat Fluid Flow
0142-727X,
26
, pp.
722
–
731
.
14.
You
,
D.
,
Mittal
,
R.
,
Wang
,
M.
, and
Moin
,
P.
, 2002, “
Large Eddy-Simulation of a Rotor Tip-Clearance Flow
,” AIAA Paper No. 2002-0981.
15.
Roache
,
P. J.
, 1998,
Verification and Validation in Computational Science and Engineering
,
Hermosa
,
Albuquerque
.
16.
Celik
,
I.
,
Cehreli
,
Z. N.
, and
Yavuz
,
I.
, 2005, “
Index of Resolution Quality for Large Eddy Simulations
,”
ASME J. Fluids Eng.
0098-2202,
127
, pp.
949
–
958
.
17.
Bogey
,
C.
, and
Bailly
,
C.
, 2005, “
Large Eddy Simulation of Round Free Jets Using Explicit Filtering With/Without Dynamic Smagorinsky Model
,”
Proceedings of the Fourth International Symposium on Turbulence and Shear Flow Phenomena
, VA.
18.
Yoshizawa
,
A.
, 1982, “
A Statistically Derived Subgrid Model for the Large Eddy Simulation of Turbulence
,”
Phys. Fluids
,
25
(
9
), pp.
1532
–
1537
. 1070-6631
19.
Pope
,
S.
, 2000,
Turbulent Flows
,
Cambridge University Press
,
Cambridge, UK
.
20.
Aluri
,
N. K.
,
Muppala
,
S. P.
,
Dinkelacker
,
F.
,
Leipertz
,
A.
, and
Celik
,
I. B.
, “
LES of Premixed Turbulent High-Pressure Combustion at High Reynolds Number Flows
,”
Combust. Flame
, submitted. 0010-2180
21.
Raman
,
V.
, and
Pitsch
,
H.
, 2005, “
Large-Eddy Simulation of a Bluff-Body-Stabilized Non-Premixed Flame Using a Recursive Filter-Refinement Procedure
,”
Combust. Flame
0010-2180,
142
(
4
), pp.
329
–
347
.
22.
Klein
,
M.
,
Meyers
,
J.
, and
Geurts
,
B. J.
, 2007, “
Assessment of LES Quality Measures Using the Error Landscape Approach
,”
Proceedings of the Workshop on Quality and Reliability of Large Eddy Simulation
, Leuven, Belgium.
Copyright © 2009
 by American Society of Mechanical Engineers
You do not currently have access to this content.