Closure to “Discussion of ‘Factors of Safety for Richardson Extrapolation’ ” (2011, ASME J. Fluids Eng., 133, p. 115501)

Abstract

The Technical Brief by Roache [1] presents ten items of discussion of our factor of safety (FS) method for solution verification [2]. Our responses are listed below item-by-item using the same numbering as Roache. The nomenclature mostly follows our own and not Roache’s such as pRE for the order of accuracy calculated using the Richardson Extrapolation as opposed to the observed order of convergence and the GCI and GCI2 methods as opposed to the GCI0 and the real GCI methods. However, we agree with Roache to use FS for the factor of safety used in all the verification methods. In response to item (10), we have used our approach to evaluate two new variants of the GCI method and one new variant of the FS method.