Orateur
Description
A shallow water model for the propagation and breaking of surface waves is proposed, under the form of a hyperbolic system of conservation laws, with dispersive effects introduced through a relaxation term and with a localized dissipative term. The latter is activated in regions where a breaking criterion is met. The objective is to get a simple mathematical and numerical structure while capturing the main features of wave breaking.
The governing equations, the associated breaking criterion, and the numerical strategy used for their approximation are presented. Particular attention is paid to the persistence of the dissipation once activated, and to its influence on the behaviour of solutions. Several test cases illustrate the behaviour of the model.
This is joint work with G. Richard, J. Chauchat and Y.-C. Hung.