The technical brief by Roache 1 presents seven criticisms of the correction factor verification method proposed by the authors and colleagues in 2,3,4. The authors acknowledge Dr. Roache’s careful review and insightful comments of our work. We have addressed Dr. Roache’s first criticism and revised the correction factor uncertainty estimates; however, we rebut the other criticisms.

1. The uncorrected Uk and corrected UkC solution uncertainty estimates given by Eqs. (33) and (34) in 2 are deficient for correction factor Ck1 and Ck=1, respectively, in only providing 50% uncertainty estimate (confidence level), as pointed out by Dr. Roache. In 4, Eq. (33) in 2 was revised for proper behavior for Ck<1: increasing factor of safety for decreasing Ck (i.e., distance from the asymptotic range) similarly as is case for C...
1.
Roache
,
P.
,
2003
, “
Criticisms of the ‘Correction Factor’ Verification Method
,”
J. Fluids Eng.
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125
, pp.
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733
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2.
Stern
,
F.
,
Wilson
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R. V.
,
Coleman
,
H.
, and
Paterson
,
E.
,
2001
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Comprehensive Approach to Verification and Validation of CFD Simulations-Part 1: Methodology and Procedures
,”
ASME J. Fluids Eng.
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123
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793
802
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3.
Wilson
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R. V.
,
Stern
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F.
,
Coleman
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H.
, and
Paterson
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E.
,
2001
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Comprehensive Approach to Verification and Validation of CFD Simulations-Part 2: Application for RANS Simulation of a Cargo/Container Ship
,”
ASME J. Fluids Eng.
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123
, pp.
803
810
.
4.
Wilson, R., and Stern, F., 2002, “Verification and Validation for RANS Simulation of a Naval Surface Combatant,” Standards for CFD in the Aerospace Industry, AIAA paper 2002-0904 Aerospace Sciences Meeting, Reno, Nevada.
5.
Celik
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I.
, and
Karatekin
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O.
,
1997
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Numerical Experiments on Application of Richardson Extrapolation With Nonuniform Grids
,”
ASME J. Fluids Eng.
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119
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584
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6.
Ebert, M. P., and Gorski, J. J., 2001, “A Verification and Validation Procedure for Computational Fluid Dynamics Solutions,” NSWCCD-50-TR-2001/0006, Hydromechanics Directorate Report, NSWC, Carderock Division, West Bethesda, MD.
7.
Weymouth, G., 2002, “RANS CFD Prediction of Pitch and Heave Ship Motions in Head Seas,” M.S. Thesis, the University of Iowa, Iowa City IA.
8.
Eca, L., and Hoekstra, M., 2000, “An Evaluation of Verification Procedures for Computational Fluids Dynamics,” 1st Report D72-7, Instituto Superior Tecnico Lisbon, Portugal.
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Cadafalch
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J.
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,
Consul
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, and
Oliva
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A.
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2002
, “
Verification of Finite Volume Computations on Steady State Fluid Flow and Heat Transfer
,”
ASME J. Fluids Eng.
,
124
, pp.
11
21
.
10.
Roache, P. J., 1998, Verification and Validation in Computational Science and Engineering, Hermosa Publishers, Albuquerque, NM.
11.
Stern, F., and Shao, J., 2003, “Statistical Approach to CFD Code Certification,” AIAA paper 2003-410, Applied Aerodynamics Special Session on CFD Uncertainty, 41st Aerospace Sciences Meeting, Reno, NV.
12.
Hemsch, M., 2002, “Statistical Analysis of CFD Solutions From the Drag Prediction Workshop,” AIAA Paper 2002-0842, 40th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV.
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Coleman
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H.
,
Stern
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F.
,
Di Mascio
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A.
, and
Campagna
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E.
,
2001
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The Problem With Oscillatory Behavior in Grid Convergence Studies
,”
ASME J. Fluids Eng.
,
123
, pp.
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