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Valášek, Jan; Sváček, Petr; Horáček, Jaromír

On suitable inlet boundary conditions for fluid-structure interaction problems in a channel. (English) Zbl 1538.76057

Appl. Math., Praha 64, No. 2, 225-251 (2019).
The authors extend some results of the last two of them corresponding to the fluid structure interaction (FSI) problems. Actually they couple the classical incompressible 2D Navier-Stokes system, in the ALE form, with a structure described by a continuum model. The behaviour of elastic body (structure) is described using linear elasticity. Particular attention is payed to the inlet boundary conditions. The behaviour of the two media, fluid and elastic, is modelled using FEM. The most important numerical example carried out refers to a fluid flow through a vibrating wall channel. The flutter velocity is determined in this case and the authors conclude that the boundary condition approached with penalisation is the most suitable.
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)

Cited in 2 Documents

MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)

Keywords:

flow-induced vibration; 2D incompressible Navier-Stokes system; linear elasticity; finite element method; inlet boundary condition; flutter instability

Software:

UMFPACK; CSparse
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Full Text: DOI

References:

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