“…The mean value of the oscillations is usually adopted as the representative geometrical parameter, but it has been deeply demonstrated that the mean roughness height cannot be considered representative of the roughness effect, whereas the shape (or texture) of the roughness must be taken into account. Following recent researches Schultz and Flack (2009), Wu and Christensen (2007), Flack and Schultz (2010), Wu and Christensen (2010), Yuan and Piomelli (2014), Mejia-Alvarez and Christensen (2013), and Nagabhushana Rao et al (2014), the rough wall has been analysed in the light of statistical moments up to fourth order. In the present research, due to the nature of the sinusoidal functions the centerline of the roughness vanishes and cannot be considered a real metric for the roughness characterisation.…”