On the prediction of the characteristics of sand ripples at the bottom of sea waves

In this review paper, the main geometrical characteristics of sea ripples (the smallest morphological patterns that are observed at the bottom of sea waves) are reviewed together with the physical mechanisms that give rise to their appearance and control their time development. Moreover, we provide a summary of both the mathematical tools (stability analyses) and empirical formulae that can be used to predict their appearance and some of their geometrical characteristics. The ripples play a relevant role in the mechanics of coastal sediment transport since usually the flow separates at the ripple crests and generates vortex structures that pick-up the sediments from the bottom and put them into suspension. Moreover, the vortex structures shed by the ripples significantly affect wave damping and flow resistance.