A fully nonlinear Boussinesq model for surface waves. Part 2. Extension to O(kh)4

By Mauricio F. Gobbi, James T. Kirby, G. Wei. Journal of Fluid Mechanics, 2000

340 citations recorded by the source corpus.

Subfields: Atmospheric Science, Earth-Surface Processes, Oceanography

View Paper: https://www.semanticscholar.org/paper/b0a41613441dda6bf0e4972b405c9ddd07c92eb4

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Citations in the corpus

A high-order adaptive time-stepping TVD solver for Boussinesq modeling of breaking waves and coastal inundation (2012, background): “These approaches, combined with 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,…”
A numerical study of submarine–landslide–generated waves and run–up (2002, neutral): “Now, WNL-EXT predicts the largest rundown, while L-EXT predicts the smallest.”
A two-layer approach to wave modelling (2004, methodology): “The heuristic approach taken here is to look at this truncation error as a finite value, not an order, and use this value to estimate the accuracy of the model compared with the O(µ2 0) Boussinesq equations (Nwogu 1993) and the high-order, O(µ4 0) Boussinesq- type equations ( Gobbi et al . 2000 ).”
Boussinesq-type formulations for fully nonlinear and extremely dispersive water waves: derivation and analysis (2003, background): “Two exceptions are the formulations of Nwogu (1993) and Gobbi et al. (2000). Nwogu (1993) expanded the velocity field from an arbitrary z-level, which was taken to be approximately mid-depth.”
Dispersive tsunami waves in the ocean: Model equations and sensitivity to dispersion and Coriolis effects (2013, background): “(2008), there are possible advantages to the fully nonlinear system particularly in the study of the development of undular bores over shelf regions, where weakly nonlinear models are known to over-predict bore undulation heights (Wei et al., 1995).”
A new Boussinesq method for fully nonlinear waves from shallow to deep water (2002, background): “We note that there is some similarity between this approach and the previous ideas of Schäffer & Madsen (1995) and Gobbi et al. (2000) who also used generalized velocity variables rather than physical velocity variables.”
Shock-capturing non-hydrostatic model for fully dispersive surface wave processes (2012, methodology): “Means for extending these models to higher order in dispersion have been developed (see Gobbi et al. (2000), Lynett 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…”