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Journal Articles SMAI Journal of Computational Mathematics Year : 2021

Congested shallow water model: on floating body


We consider the floating body problem in the vertical plane on a large space scale. More precisely, we are interested in the numerical modeling of body floating freely on the water such as icebergs or wave energy converters. The fluid-solid interaction is formulated using a congested shallow water model for the fluid and Newton's second law of motion for the solid. We make a particular focus on the energy transfer between the solid and the water since it is of major interest for energy production. A numerical approximation based on the coupling of a nite volume scheme for the fluid and a Newmark scheme for the solid is presented. An entropy correction based on an adapted choice of discretization for the coupling terms is made in order to ensure a dissipation law at the discrete level. Simulations are presented to verify the method and to show the feasibility of extending it to more complex cases.
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Dates and versions

hal-01871708 , version 1 (11-09-2018)
hal-01871708 , version 2 (25-09-2019)
hal-01871708 , version 3 (07-12-2020)



Edwige Godlewski, Martin Parisot, Jacques Sainte-Marie, Fabien Wahl. Congested shallow water model: on floating body. SMAI Journal of Computational Mathematics, 2021, 6, pp.227-251. ⟨10.5802/smai-jcm.67⟩. ⟨hal-01871708v3⟩
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