Issue Section:
Technical Briefs
Keywords:
Laplace equations, convergence of numerical methods, boundary layers, computational fluid dynamics, wave equations
Topics:
Boundary layers, Computational fluid dynamics, Errors, Laplace equations, Numerical analysis, Uncertainty, Wave equations, Safety engineering, Simulation, Modeling, Waves

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 Ck⩽1 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 Ck...
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