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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 24, issue 1
Nonlin. Processes Geophys., 24, 43–60, 2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.

Special issue: Waves in media with pre-existing or emerging inhomogeneities...

Nonlin. Processes Geophys., 24, 43–60, 2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.

Research article 27 Jan 2017

Research article | 27 Jan 2017

Variational modelling of extreme waves through oblique interaction of solitary waves: application to Mach reflection

Floriane Gidel et al.

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Cited articles

Ablowitz, M. J. and Curtis, C. W.: Conservation Laws and Web-Solutions for the Benney–Luke Equation, P. Roy. Soc. A, 469,, 2013.
Balay, S., Gropp, W. D., McInnes, L. C., and Smith, B. F.: Efficient Management of Parallelism in Object Oriented Numerical Software Libraries, in: Modern Software Tools in Scientific Computing, edited by: Arge, E., Bruaset, A. M., and Langtangen, H. P., Birkhäuser Press, 163–202, 1997.
Balay, S., Abhyankar, S., Adams, M. F., Brown, J., Brune, P., Buschelman, K., Dalcin, L., Eijkhout, V., Gropp, W. D., Kaushik, D., Knepley, M. G., McInnes, L. C., Rupp, K., Smith, B. F., Zampini, S., Zhang, H., and Zhang, H.: PETSc Users Manual, Tech. Rep. ANL-95/11 – Revision 3.7, Argonne National Laboratory, available at:, last access: 30 September 2016.
Benney, D. and Luke, J.: On the interactions of permanent waves of finite amplitude., J. Math. Phys., 43, 309–313, 1964.
Bokhove, O. and Kalogirou, A.: Variational water wave modelling: from continuum to experiment, in: Lectures on the theory of water waves, edited by: Bridges, T., Groves, M., and Nicholls, D., LMS Lecture Note Series, Cambridge University Press, 426, 226–260, 2016.
Publications Copernicus
Short summary
Extreme water waves impacting ships and offshore structures can not only cause severe structural damage, but also threaten the safety of passengers and crew. Accordingly, the motivation for the present work is to better understand the dynamics of extreme waves in two cases: the case of "green water" and the case of "freak waves". Our methodology can simulate those two events in order to estimate the forces of such extreme waves and thus aid engineers in the design of safer maritime structures.
Extreme water waves impacting ships and offshore structures can not only cause severe structural...