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Pré-Publication, Document De Travail Année : 2012

Finite volume and pseudo-spectral schemes for the fully nonlinear 'irrotational' Serre equations

Denys Dutykh
Didier Clamond
Paul Milewski
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Résumé

After we derive the Serre system of equations of water wave theory from a generalized variational principle, we present some of its structural properties. We also propose a robust and accurate finite difference scheme to solve these equations based on the finite volume method. The numerical discretization is validated by comparisons with analytical, experimental data or other numerical solutions obtained by a highly accurate pseudo-spectral method.
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Dates et versions

hal-00587994 , version 1 (22-04-2011)
hal-00587994 , version 2 (17-07-2011)
hal-00587994 , version 3 (23-07-2012)
hal-00587994 , version 4 (12-02-2013)

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Denys Dutykh, Didier Clamond, Paul Milewski, Dimitrios Mitsotakis. Finite volume and pseudo-spectral schemes for the fully nonlinear 'irrotational' Serre equations. 2012. ⟨hal-00587994v3⟩
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