A two-layer approach to wave modelling

By Patrick J. Lynett, Philip L.-F. Liu. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2004

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Shock-capturing non-hydrostatic model for fully dispersive surface wave processes (2012, methodology): “The data has also frequently been used as a test of Boussinesq models, as the case falls outside the range of typical O(l2) models such as Wei et al. (1995), but is handled by various higher order approaches such as Gobbi and Kirby (1999) or Lynett and Liu (2002).”
A high-order adaptive time-stepping TVD solver for Boussinesq modeling of breaking waves and coastal inundation (2012, background): “…use either of progressively higher order truncated series expansions (Gobbi et al., 2000; Agnon et al., 1999) or multiple level representations (Lynett and Liu, 2004), have effectively eliminated the restriction of this class of model to relatively shallow water, allowing for their application…”
A fourth‐order compact finite volume scheme for fully nonlinear and weakly dispersive Boussinesq‐type equations. Part I: model development and analysis (2006, background): “Recent developments concern the extension of these shallow water sets of equations to deeper water propagation problems [5–10], and to describe surf-zone dynamics by adding extra wave-breaking terms [11–14] and removing the originally embedded weakly nonlinear hypothesis [15–17].”