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Analysis of a Nonlinear, Moving-Boundary, 3d Fluid-Mesh-Shell Interaction Problem (CROSBI ID 698738)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa

Muha, Boris Analysis of a Nonlinear, Moving-Boundary, 3d Fluid-Mesh-Shell Interaction Problem // New trends in asymptotic methods for multiscale PDEs. 2019. str. 14-14

Podaci o odgovornosti

Muha, Boris

engleski

Analysis of a Nonlinear, Moving-Boundary, 3d Fluid-Mesh-Shell Interaction Problem

We consider a nonlinear, moving-boundary, fluid- structure interaction problem between an incompressible, viscous fluid flow, and an elastic structure composed of a cylindrical shell supported by a mesh-like elastic structure. The fluid flow is modeled by the time-dependent Navier-Stokes equations in a three-dimensional cylindrical domain, while the cylindrical shell is described by a two-dimensional linearly elastic Koiter shell equations allowing displacements in all three spatial directions. The mesh-like structure is modeled as a one-dimensional hyperbolic net composed of linearly elastic curved rods. The rods are coupled at net's vertices via continuity of displacement and infinitesimal rotation, and through balance of forces and contact moments. The fluid and the mesh-supported structure are coupled via the kinematic and dynamic boundary coupling conditions describing continuity of velocity and balance of contact forces at the fluid-structure interface. We prove the existence of a weak solution to this nonlinear, moving-boundary problem by using the time discretization via Lie operator splitting method, Arbitrary Lagrangian-Eulerian mapping and a non-trivial extension of the Aubin-Lions-Simon compactness result to problems on moving domains.

Fluid-structure interaction ; elastic mesh ; weak solutions ; Navier-Stokes equations

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Podaci o prilogu

14-14.

2019.

nije evidentirano

objavljeno

Podaci o matičnoj publikaciji

New trends in asymptotic methods for multiscale PDEs

Podaci o skupu

New trends in asymptotic methods for multiscale PDEs

pozvano predavanje

21.10.2019-25.10.2019

Karlstad, Švedska

Povezanost rada

Matematika

Poveznice