Modified Shallow Water Equations for significantly varying seabeds

29 Feb 2012 Denys Dutykh Didier Clamond

In the present study, we propose a modified version of the Nonlinear Shallow Water Equations (Saint-Venant or NSWE) for irrotational surface waves in the case when the bottom undergoes some significant variations in space and time. The model is derived from a variational principle by choosing an appropriate shallow water ansatz and imposing some constraints... (read more)

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  • CLASSICAL PHYSICS
  • ANALYSIS OF PDES
  • NUMERICAL ANALYSIS
  • COMPUTATIONAL PHYSICS
  • FLUID DYNAMICS