Fluid-rigid structure interaction system with Coulomb's law - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles SIAM Journal on Mathematical Analysis Year : 2017

Fluid-rigid 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.
Fichier principal
Vignette du fichier
jsm-ls-tt_2016-10-10.pdf (297.26 Ko) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

hal-01386574 , version 1 (24-10-2016)

Identifiers

Cite

Loredana Bălilescu, Jorge San Martín, Takéo Takahashi. Fluid-rigid structure interaction system with Coulomb's law. SIAM Journal on Mathematical Analysis, 2017, 49 (6), pp.4625-4657. ⟨10.1137/16M1099947⟩. ⟨hal-01386574⟩
250 View
140 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More