Abstract : We develop a new PML formulation for the linearized shallow-water equations including the Coriolis force. The construction process is based on the uncoupling of the velocity components with the depth of water. Then the damping effect is only applied to the propagative modes just as was formerly done by Nataf \cite {Nataf} to the linearized Euler equations to enforce the long-time stability. We assess numerically the performance of the new absorbing condition and we illustrate in particular that it is stable for long-time simulations.
https://hal.inria.fr/inria-00418317
Contributeur : Julien Diaz
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Soumis le : vendredi 18 septembre 2009 - 08:31:55
Dernière modification le : mardi 8 janvier 2019 - 15:02:09
Document(s) archivé(s) le : mardi 16 octobre 2012 - 11:05:20
Hélène Barucq, Julien Diaz, Mounir Tlemcani. New absorbing layers conditions for short water waves. Journal of Computational Physics, Elsevier, 2010, 229, pp.58-72. 〈10.1016/j.jcp.2009.08.033〉. 〈inria-00418317〉
