“…Indeed, many rough-wall turbulence studies exhibit such similarity in the single-point statistics, both for flow over idealized surfaces (Raupach, 1981;Ligrani and Moffat, 1986;Bandyopadhyay and Watson, 1988;Flack et al, 2005;Bakken et al, 2005;Kunkel and Marusic, 2006, among others) as well as for flow over more irregular topographies (Allen et al, 2007;Mejia-Alvarez and Christensen, 2010b). In contrast, other studies report single-point statistics affected by roughness well into the outer layer (Krogstad et al, 1992;Krogstad and Antonia, 1999;Keirsbulck et al, 2002;Tachie et al, 2000Tachie et al, , 2003. However, most of these efforts had weak scale separation between the roughness and the outer length scale of the flow, yielding δ/k and/or δ/k s values well below the thresholds proposed by Jimenez (2004) and Flack et al (2005).…”