A Boussinesq-type method for fully nonlinear waves interacting with a rapidly varying bathymetry

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On the solitary wave paradigm for tsunamis (2008, methodology): “[20] The vehicle for this investigation is a numerical model, which solves the high-order Boussinesq formulation by Madsen et al. [2006] .”
A quadtree-adaptive multigrid solver for the Serre-Green-Naghdi equations (2015, methodology): “Finally, given the importance of dispersion relative to non-linearities for deep-water tsunami propagation, it seems clear that weakly-nonlinear, strongly dispersive models [31] could be better suited to describe this part of the evolution.”
Derivation of asymptotic two-dimensional time-dependent equations for surface water wave propagation (2009, background): “In [41, 42, 43], the authors make a differential approximation of shallow water type based on Padé approximants; they show that the dispersive properties remain good far beyond the shallow water regime when bathymetric changes are not too strong (in this latter case, the model is more complex and it”