Shallow water equations for large bathymetry variations
  In this study, we propose an improved version of the nonlinear shallow water (or Saint-Venant) equations. This new model is designed to take into account the effects resulting from the large spacial and/or temporal variations of the seabed. The model is derived from a variational principle by choosing the appropriate shallow water ansatz and imposing suitable constraints. Thus, the derivation procedure does not explicitly involve any small parameter. 
Denys Dutykh (LAMA), Didier Clamond (JAD)
physics.class-ph math.AP nlin.SI physics.ao-ph physics.flu-dyn