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Title: On finite element approximation of flow induced vibration of elastic structure (English)
Author: Valášek, Jan
Author: Sváček, Petr
Author: Horáček, Jaromír
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016
Issue: 2016
Pages: 144-153
Category: math
Summary: In this paper the fluid-structure interaction problem is studied on a simplified model of the human vocal fold. The problem is mathematically described and the arbitrary Lagrangian-Eulerian method is applied in order to treat the time dependent computational domain. The viscous incompressible fluid flow and linear elasticity models are considered. The fluid flow and the motion of elastic body is approximated with the aid of finite element method. An attention is paid to the applied stabilization technique. The whole algorithm is implemented in an in-house developed solver. Numerical results are presented and the influence of different inlet boundary conditions is discussed. (English)
Keyword: stabilized finite element method
Keyword: 2D Navier-Stokes equations
Keyword: vocal folds
Keyword: aeroelasticity
MSC: 35Q30
MSC: 65M60
MSC: 76D05
DOI: 10.21136/panm.2016.17
Date available: 2017-06-20T13:04:45Z
Last updated: 2017-07-13
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