A depth-integrated model for weakly dispersive, turbulent, and rotational fluid flows

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Shock-capturing non-hydrostatic model for fully dispersive surface wave processes (2012, methodology): “…and Liu (2002) and Agnon et al. (1999), for example), and more recently, extensions to the model formulation to account for turbulent structure of the flow field and the resulting effects on depth-averaged solute or contaminant transport have been developed (Kim et al., 2009; Kim and Lynett, 2011).”
A high-order adaptive time-stepping TVD solver for Boussinesq modeling of breaking waves and coastal inundation (2012, background): “Kim et al. (2009) have further extended the formulation to incorporate a consistent representation of boundary layer turbulence effects on vertical flow structure.”