In this note, my objectives are to clarify the ideas in a previously published quantitative verification and validation (V&V) approach that is based on experimental uncertainty analysis concepts; to suggest a new viewpoint (and nomenclature) for assessment of the results of V&V efforts; and to discuss an inherent ambiguity in the interpretation of results of grid refinement studies that are used in verification approaches.

1.
Coleman
,
H. W.
, and
Stern
,
F.
,
1997
, “
Uncertainties in CFD Code Validation
,”
ASME J. Fluids Eng.
,
119
, pp.
795
803
.
2.
Roache
,
P. J.
,
1998
, discussion
ASME J. Fluids Eng.
,
120
, p.
635
635
.
3.
Coleman
,
H. W.
, and
Stern
,
F.
,
1998
, authors’ closure,
ASME J. Fluids Eng.
,
120
, pp.
635
636
.
4.
Coleman, H. W., and Steele, W. G., 1999, Experimentation and Uncertainty Analysis for Engineers, 2nd Ed., John Wiley & Sons, New York.
5.
Guide to the Expression of Uncertainty in Measurement (corrected and reprinted, 1995), International Organization for Standardization, Geneva, Switzerland.
6.
International Vocabulary of Basic and General Terms in Metrology, 1993, 2nd Ed., International Organization for Standardization, Geneva, Switzerland.
7.
Stern
,
F.
,
Wilson
,
R. V.
,
Coleman
,
H. W.
, and
Paterson
,
E. G.
,
2001
, “
Comprehensive Approach to Verification and Validation of CFD Simulations—Part 1: Methodology and Procedures
,”
ASME J. Fluids Eng.
,
123
, pp.
793
802
.
8.
Oberkampf, W. L., and Trucano, T. G., 2000, “Validation Methodology in Computational Fluid Dynamics,” AIAA Paper No. 2000–2549.
9.
Oberkampf, W. L., and Trucano, T. G., 2002, “Verification and Validation in Computational Fluid Dynamics,” Sandia National Laboratories Report SAND2002-0529, Mar.
10.
Oberkampf
,
W. L.
,
2002
, discussion,
ASME J. Fluids Eng.
,
124
, pp.
809
810
.
11.
Guide for the Verification and Validation of Computational Fluid Dynamics Solutions, 1998, AIAA Guide G-077-1998 (www.aiaa.org).
12.
Roache, P. J., 2002, private e-mail communications.
13.
Roache, P. J., 1998, Verification and Validation in Computational Science and Engineering, Hermosa, Albuquerque, NM (www.hermosa-pub.com/hermosa)
14.
Wilson, R., and Stern, F., 2002, “Verification and Validation for RANS Simulation of a Naval Surface Combatant,” AIAA Paper No. 2002-0904.
15.
Coleman
,
H. W.
,
Stern
,
F.
,
Di Mascio
,
A.
, and
Campana
,
Emilio
,
2001
, “
The Problem With Oscillatory Behavior in Grid Convergence Studies
,”
ASME J. Fluids Eng.
,
123
, pp.
438
439
.
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