Fluid-structure interaction system with Coulomb's law

Abstract : We propose a new model in a fluid-structure system composed by a rigid body and a viscous incompress-ible fluid using a boundary condition based on Coulomb's law. This boundary condition allows the fluid to slip on the boundary if the tangential component of the stress is too large. In the opposite case, we recover the standard Dirichlet boundary condition. The governing equations are the Navier-Stokes system for the fluid and the Newton laws for the body. The corresponding coupled system can be written as a variational inequality. We prove that there exists a weak solution of this system.
Type de document :
Pré-publication, Document de travail
2016
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https://hal.archives-ouvertes.fr/hal-01386574
Contributeur : Takéo Takahashi <>
Soumis le : lundi 24 octobre 2016 - 12:23:59
Dernière modification le : mercredi 26 octobre 2016 - 01:11:35

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  • HAL Id : hal-01386574, version 1

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Loredana Bălilescu, Jorge San Martín, Takéo Takahashi. Fluid-structure interaction system with Coulomb's law. 2016. <hal-01386574>

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