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• W2048653613 abstract "Abstract Minimisation principles are used in fluid–structure coupling to model sandy sea beds evolution. The sandy bed is seen as a structure with low stiffness. We start with a model problem featuring the behaviour of the coupling. Then, the water motion in shallow domains is described by the Saint-Venant equations. This coupling bringing the bottom sea changes is based on the assumption that the bed adapts to the flow in order to minimise some energy quantity together with minimal sand transport. The approach is shown being equivalent to the use of an Exner equation for the bed with a non-local expression for the sediment transport flux. Because the choice of the functional permits to include different physical quantities one thinks to play a role in the bottom morphodynamics, the approach is also atool for validating different modelling hypothesis. Keywords: sandy beach morphodynamicsshape optimisationfluid–structure couplingSaint-Venant equationssensitivity analysisExner equation Acknowledgements The author would like to thank P. Azerad, F. Bouchette and F. Marche for helpful discussions around this work, especially in the definition of the functionals and the simulation conditions for the basin. This work is part of ANR project Mathocean (ANR-08-BLAN-0301-01). The adjoint Saint-Venant solver has been obtained using Tapenade AD tool developed at INRIA-Sophia Antipolis by L. Hascoet and his team Tropics, http://www-sop.inria.fr/tropics/tapenade.html." @default.
• W2048653613 created "2016-06-24" @default.
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• W2048653613 date "2012-03-01" @default.
• W2048653613 modified "2023-10-12" @default.
• W2048653613 title "Minimisation principles for the evolution of a soft sea bed interacting with a shallow sea" @default.
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• W2048653613 doi "https://doi.org/10.1080/10618562.2012.669831" @default.
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