Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8052225 | Applied Mathematical Modelling | 2016 | 21 Pages |
Abstract
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. Our derivation procedure does not explicitly involve any small parameter and is straightforward. The novel system is a non-dispersive non-hydrostatic extension of the classical Saint-Venant equations. A key feature of the new model is that, like the classical NSWE, it is hyperbolic and thus similar numerical methods can be used. We also propose a finite volume discretisation of the obtained hyperbolic system. Several test-cases are presented to highlight the added value of the new model. Some implications to tsunami wave modeling are also discussed.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Denys Dutykh, Didier Clamond,