Derivation of asymptotic two-dimensional time-dependent equations for surface water wave propagation

By David Lannes, Philippe Bonneton. 2009

181 citations recorded by the source corpus.

Subfields: Earth-Surface Processes, Oceanography, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5781c08ad0a2c4a60d0976feb85c8b888f49fe41

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Earth-Surface Processes

1. Stéphane Popinet
2. David Lannes
3. Philippe Bonneton
4. Fabien Marche

In Oceanography

1. Stéphane Popinet
2. Philippe Bonneton
3. M. Tissier
4. Fabien Marche
5. F. Chazel
6. David Lannes
7. Jean-Claude Saut

In Statistical and Nonlinear Physics

1. Stéphane Popinet
2. Philippe Bonneton
3. David Lannes

Citations in the corpus

• A new approach to handle wave breaking in fully non-linear Boussinesq models (2012, background): “These equations, called Serre Green–Naghdi (S–GN) equations thereafter, are now recognized to be the relevant system to describe fully non-linear weakly dispersive waves propagating in the nearshore (Lannes and Bonneton, 2009).”
• A quadtree-adaptive multigrid solver for the Serre-Green-Naghdi equations (2015, methodology): “Using combinations of assumptions on these parameters, one can formally derive the full set of historical approximations (see [24] for details).”