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Congested shallow water model: on floating body

Abstract : 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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https://hal.inria.fr/hal-01871708
Contributor : Martin Parisot <>
Submitted on : Monday, December 7, 2020 - 9:10:59 PM
Last modification on : Thursday, December 10, 2020 - 3:44:53 AM

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  • HAL Id : hal-01871708, version 3

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Edwige Godlewski, Martin Parisot, Jacques Sainte-Marie, Fabien Wahl. Congested shallow water model: on floating body. SMAI Journal of Computational Mathematics, Société de Mathématiques Appliquées et Industrielles (SMAI), In press. ⟨hal-01871708v3⟩

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